diff --git "a/data/dm_maths/full_data_2/11064_11255.jsonl" "b/data/dm_maths/full_data_2/11064_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11064_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the nearest to -3 in -0.1, 0.09, -454, 15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 - 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98476 and 6?\nAnswer: 295428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/5 - 3834*d**2\/5 - 10794*d - 189238\/5.\nAnswer: 2*(d - 1931)*(d + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -68. Let q = -17 - -22. Calculate the remainder when o is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5754, 5742, 5730, 5718, 5706?\nAnswer: 5694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652757*p - 48671 + 48671.\nAnswer: -652757*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 + -7)*78\/(-4). Let x = 18 - p. What is the remainder when x is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**2\/3 + 184*d\/3 - 942464 = 0.\nAnswer: -1776, 1592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 7610050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 - 2) + -5 + -38 + 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 565689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s + 36. Suppose 2*z = -12 - 10. Let b be g(z). What is the third derivative of -7*h**b - 2*h**3 + 136*h**2 - 113*h**2 wrt h?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/(-10) + 2 + (-20)\/100. Let y = -13 + 41\/3. Put 2\/23, o, y in decreasing order.\nAnswer: y, 2\/23, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 + 6*d**2 + 5*d - 6. Calculate x(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 31, -0.3, 20.\nAnswer: -0.3, 0.3, 20, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -10*z - 21*z - 11*z + 4*z + 42*z. Let v(b) = -17*b**2. Let g(l) = -4*l**2. Let a(x) = -18*g(x) + 4*v(x). Calculate a(u(i)).\nAnswer: 64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/15)*w*w)\/w)**(-9\/5)\/(w*w**(-29)\/w*w*w**(2\/33)))**(3\/23) assuming w is positive.\nAnswer: w**(21763\/6325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -34. Let c = 104 - 101. What is the remainder when b is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + f = -21*j + 3507, -2*j + 1764 = 4*f. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + x - 2 - 5, -3*w = -x - 13. Let d be 1*(10\/(-9) + 1). What is the nearest to -0.2 in -1, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -10*c + 1158. Calculate h(-2).\nAnswer: 1178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*r**4 + 3*r**2 + 2*r + 5 wrt r?\nAnswer: -96*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w + 143. Give h(41).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqbbchd. Give prob of picking 1 h and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbbbbebebbebbbbbbbb.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3962881 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(3) - sqrt(3)*-2) + sqrt(3) + 2*sqrt(3)*-4 + sqrt(3) + 2 + (sqrt(726)*-2 + sqrt(726))\/(sqrt(162) - -1*sqrt(162) - sqrt(162)))*1.\nAnswer: -38*sqrt(3)\/9 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26, -15, -178, -523, -1110, -1999, -3250, -4923?\n\"Answer: -10*x**3 - x**2 + 32*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6047755459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (515\/(-412))\/((-4)\/144).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, n: 2, z: 8, l: 1, v: 1}. Give prob of sequence zz.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68.39 + -64.4. Let j = g + 0.01. Sort j, 2\/7, 0.1.\nAnswer: 0.1, 2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t + 4. Let v be m(-3). Let s = 32941 + -32942. Which is the second smallest value? (a) -1\/2 (b) v (c) -4 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 1, 13, 10, 5 in ascending order.\nAnswer: -5, 1, 5, 9, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -21454 smaller than -21454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 1756\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669400.\nAnswer: 2, 5, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h. Let c(s) be the second derivative of -s**4 - 96*s. What is c(u(w))?\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7534848?\nAnswer: 2, 3, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 10. Let j be l(-6). Is (j\/10)\/((-1)\/(-20)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/4*(-20 + 18) + 5083\/(-1020). Let i(b) be the third derivative of -t*b**5 + 0 + 1\/12*b**4 + 16*b**2 + 0*b + 1\/3*b**3. Calculate i(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from ysyyyfyreyrssf?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42.4961 - -0.0039. Let k = g + -42.58. Is k less than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/10)\/((11\/(-140))\/(-11)). Let h(b) = -94*b**3 - 2*b**2 + 6*b - 6*b**2 - m + 72. Let r be h(11). What is r rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o - 18. Give a(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401.3515 days in seconds?\nAnswer: 34676769.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-7)*n*n*n\/(n\/(n*n**(-2\/5)*n)*n*n)*n*n*n assuming n is positive.\nAnswer: n**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or -0.23?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.29, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 2*t. Let c be f(2). Let g(h) be the first derivative of 0*h**3 - 1 + 1\/4*h**4 + c*h**2 + h. Find the first derivative of g(i) wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 44, 3, -2\/7, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-336)\/(-32) - 2\/(-4). Let v = s + -7. Suppose 0 = -3*c + 3, 4*o - 7 = -3*c + v*c. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, z: 5, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.7 * 12046.\nAnswer: 68662.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from xxotoaoomomoaxn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let j(q) = -15*q + 1. Calculate j(f(y)).\nAnswer: -15*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z - 3 = 0. Let l(v) = -v**2 - 4*v + 1. Let a(r) = -r + 1. What is z*l(m) + 4*a(m)?\nAnswer: m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*v + 644 = -29*i + 66*v, -3*i = 3*v + 75 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -148*z**3 - 3*z**2 - 32.\nAnswer: -444*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10358 - -2.4?\nAnswer: 10360.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 12 - 52*r - 55*r - 53*r + 137*r in the form g + m*r and give m.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 + 9998*h + 19995\/2.\nAnswer: (h + 1)*(h + 19995)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -1\/18*j**4 - 1\/30*j**5 + 1\/9*j**6 + 0*j**2 + 0*j**3 - 1\/21*j**7 + 0 + 10*j. Factor p(h).\nAnswer: -2*h**2*(h - 1)**2*(3*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mssmmssssms. Give prob of picking 3 s.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - (18 - 8)) + -20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/28*((-16)\/(-54))\/1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000032095 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ichhfifhfhhh. Give prob of sequence fff.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -16 + 4 + -1 + -2. Let p(l) = l + 17. Let v be p(g). Suppose v*f - 4*w = -3*f + 5585, 4*f - 5*w = 4468. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 5. Let x(a) be the second derivative of a**3\/3 - 5*a**2 - 17*a. Does 3 divide x(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 88, 128, 168, 208?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174051 is divided by 7109?\nAnswer: 3435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 117?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -859*b - 983*b = -1578*b - 22440 for b.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(-13)*(-2)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5523237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -35031570 (base 8) to base 13\nAnswer: -1768334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -610, -648, -686?\n\"Answer: -38*u - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76723 = 49*m + 21598. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-12) + (-41530)\/60. Let t = c + 806. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 1. Let c(d) = -30*d**2 + 4*d + 9. Let g(u) = c(u) - 6*o(u). What is the second derivative of g(f) wrt f?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**3 - 7*k**2 + 3*k - 4. Let r be q(3). Let v = r - 23. Solve -3*d - 12 - 3 = v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 5:21 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 m when four letters picked without replacement from {c: 3, t: 6, l: 3, m: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 6*u**5\/11 + 28*u**4\/11 - 20*u**3\/11 - 48*u**2\/11 + 14*u\/11 + 20\/11 = 0.\nAnswer: -5, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000041380861 to seven decimal places.\nAnswer: -0.0000414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14 - (-36)\/(-6))\/(2\/(-4)). Solve y*f = 114 + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r = -28*r - 31*r + 410 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367590.\nAnswer: 2, 3, 5, 12253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109015.3821 - -109022. Let a = y + -6.57. What is a rounded to three dps?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(4048\/24))\/(12\/(-32)*-2)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 11*k - 355. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/5 + 1602336*r\/5 - 213956721408\/5.\nAnswer: -3*(r - 267056)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3 = -6*u. Suppose -4*w - 3 = -r + 10, 0 = -3*r - 3*w - 6. Let z be 4\/2*1\/r. What is the greatest common factor of z and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1599 + 2777. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/12*(9\/6 + 0).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 + 67. Let n(h) = -5*h - 264. What is n(d(v))?\nAnswer: 10*v**2 - 599","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2654683 divided by -23\nAnswer: 115421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4689 = 40*d - 43*d, t = -5*d + 2355. Is 26 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-8) - 45\/(-20)) + 1. Let z(y) = -145*y - 64. Let l(x) = -73*x - 32. Let n(j) = -7*l(j) + 3*z(j). Let o(u) = 7*u + 3. What is m*n(r) - 32*o(r)?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1306854, -1307573, -1308292, -1309011?\n\"Answer: -719*z - 1306135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20339544 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2119, 17677, 60115, 142873, 279391, 483109, 767467, 1145905?\nAnswer: 1631863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 822.6578 years in centuries?\nAnswer: 8.226578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*k, -4*q - 58*k = -53*k - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (383097\/1026)\/(-11) + (7 - (-889)\/(-126)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 666556513152\nAnswer: 666556513115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*h = -223*h - 72*h + 1155. Solve -q - 10 = 3*w, h*q - 3*w - 43 = -13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 974585303 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miiimmimii. Give prob of sequence imi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1087400 and 1600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 733628 and 99288?\nAnswer: 13205304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 243 (base 5) to base 10\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31497447361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7324 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) + (sqrt(84) - (sqrt(84) + (2*sqrt(84) - sqrt(84))))))*5)\/(sqrt(12) + sqrt(1452) + sqrt(1452) + sqrt(1452)*-2 + sqrt(12)).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 6\/11 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -7*w. Suppose 0 = -o - 2*g - 9 - 57, -2*o - 5*g - 130 = w. Is o greater than -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o**2 + 8*o**2 + 10*o**2 - 32*o**2 + 12*o**2 + 4*o**2.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.74 to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0.1, -0.4, -16, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.688743 rounded to three decimal places?\nAnswer: 0.689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1378 and -6652359176?\nAnswer: 6652360554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d**2 - 5*d**2 + 4*d**2.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0669 - -0.0969. Let i = -0.7 + 1.1. Which is the third biggest value? (a) i (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 25*y**2 - 88*y - 132. What is j(-28)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 9) to base 10\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -97.\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179013013?\nAnswer: 2557, 70009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j = -19*j + 8. Calculate the least common multiple of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -685472\/15 + 45607. Let x = c + 91. What is the nearest to 3 in -0.5, 7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 255, 506, 759, 1014, 1271?\n\"Answer: i**2 + 248*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -114, -770, -2562, -6060, -11834, -20454?\n\"Answer: -95*p**3 + 2*p**2 + 3*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvtgtggtjtg. What is prob of picking 1 j and 2 t?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 578543768 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2455, -2462, -2479, -2512, -2567, -2650?\n\"Answer: -t**3 + t**2 - 3*t - 2452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 4*h - 34 = -2, 2*n - 4*h = 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589060.\nAnswer: 2, 5, 29453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) 1 (c) 18 (d) 1\/14 (e) 6 (f) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0*z. Suppose -4*f - 12 = -2*b, z = 5*b - 5*f - 2 - 23. What is the highest common divisor of b and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from {k: 2, h: 1, f: 1, l: 2, o: 1, r: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500 = 5144*l - 5019*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4897 - 4895 - 11*y**3 + 13971 - 4179.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.21 * -0.02.\nAnswer: -0.1242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/149, 99.8, -2\/7, -0.2 in increasing order.\nAnswer: -2\/7, -0.2, -1\/149, 99.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212659.\nAnswer: 109, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l**2 + 2*l**2 - 8*l**2. Let a(t) = -16*t. Give a(z(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s - 6. Let k(a) = -6*a - 9. Give -8*i(n) + 5*k(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5 - 0. Let x = 353 + -3891\/11. Is a bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 7*w = 2*w - 44. Suppose 0*z + 4 = 2*z. Suppose -v + 2*q + 1 = -q, -3*v + z*q + 10 = 0. Solve -3*y + 7 = v*u, -2*u - 3*y = -7 - w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/81*-9*-969. Let s = p - -328. Let k(m) = m**2 - 11*m - 1. Determine k(s).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*sqrt(121)*-1*5)\/(sqrt(176) + -2*sqrt(176)*4 + sqrt(176)).\nAnswer: -5*sqrt(11)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-4 + 3)\/(-3) + 15059\/111 and 255.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -77. Let b = -26 - u. Factor -4 + 12*p**4 - 5*p**4 + p**4 + 16*p**3 - 8*p**2 + 4*p**4 - b*p.\nAnswer: 4*(p - 1)*(p + 1)**2*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*p, 8*p - 20 = -3*t + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/9 and 101\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 equal to -173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -64108593568?\nAnswer: -64108593567.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*3\/2*(-3)\/(-36)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88771?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 606*n**2 + 16222*n - 21983. Determine v(578).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -508 and 237.\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 96 (b) 0.28 (c) 9 (d) -0.1 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/12 - 1807069*w\/6 - 3265498370761\/12 = 0. What is w?\nAnswer: -1807069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795157 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -2 + 8\/2. Let k = 142 - 142. Solve k = 2*q - l*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/21? (a) -1 (b) 5787 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195.59334 months to decades.\nAnswer: 1.6299445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.063, -5\/4, -1\/17, -0.2 in ascending order.\nAnswer: -5\/4, -0.2, -1\/17, 0.063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -370253*q**5 - 986143*q.\nAnswer: -7405060*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + 114 = 4*c, -4*z = -29973 + 29997 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 - 9*w - 52 + 10*w**2 - 5*w**2 to the form i + l*w**2 + s*w and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j + 6. Let k(l) = 7*l + 13. Let w(x) = 3*k(x) - 5*u(x). Calculate w(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(((-26)\/65)\/(-4 + (-76)\/(-20))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express s + s + 0*s + 3*s as x*s + k and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 + 87. What is the least common multiple of b and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6523 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3131186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-19 - -16) - -15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 307*y - 6666 - 4915 + 3292 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6938.2 - -6937. Sort -0.3, -2, 4, q.\nAnswer: -2, q, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*v - 3158 + 2100 = -1778 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*j - 12 = 38*j. Let u(y) be the third derivative of 3*y**2 + 0*y + 0*y**j + 0*y**4 - 1\/10*y**5 + 0. Let w(x) = 2*x**2. What is w(u(l))?\nAnswer: 72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*p = 18, -4*p + 3*p = -4*r + 129. Calculate the remainder when r is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*n**4 - 84996*n**3 + 344308*n**2 - 89640*n - 519008 = 0.\nAnswer: -1, 2, 49\/16, 1324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -16a?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*n + 604*n - 48586 = -240*n - 140*n for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Put 276, -1\/3, -3\/8, 0 in increasing order.\nAnswer: -3\/8, -1\/3, 0, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1338, -0.1, 0.11, 3, -38, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1021334 - -131?\nAnswer: 1022020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 641829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.447\nAnswer: 1.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -224 * -5.6.\nAnswer: 1254.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 0 - (1 + 2 + -7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 11.86?\nAnswer: -22.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -0.6 (c) -89 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.1 in -0.1, 14, -2\/7, -3\/5, -38\/69?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/890 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-2))\/(-3)*2. Let h = 11 + v. Let p(b) = -14*b - h*b + 0*b - 23. Let k(o) = -4*o - 4. What is -34*k(q) + 6*p(q)?\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20 and -2277.\nAnswer: -2297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2 - 2)*(2 - 1 - 6) + (2*r + r - r)*(7 - 2 - 1)*(-1 + 2 + 1).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 5*h - 2*h + (1 + 1 + 1)*(56*h - 3*h + 31*h) to the form q*h + o and give q.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 93, 4, 1, 0.11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -133b1 (base 15) in base 10?\nAnswer: -61591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 6:44 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 69 + 8 - 13 - 7*t + 60. What is r(18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*n - 9 = 0, -13*h + 5*n + 28 = -10*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-112)\/(-4) + (1 - 0). Let i = x - -9. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3878.5738 + 3879. What is r rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 155 = -5*b + 128, c = -b - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((77\/(-220))\/(1295\/925))\/(26\/(-48)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/7)\/h*h**(-4))\/(h\/(h\/(h**(-2\/3)*h)))**(-17) assuming h is positive.\nAnswer: h**(17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -413 - 345?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 26*x**2 - x - 4. Let j(o) = o**2 + o - 2. What is 2*j(h) - s(h)?\nAnswer: -24*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*m**2\/9 - 8*m\/3 - 8\/9.\nAnswer: 2*(m - 2)*(7*m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = -34*x - 87. Let q be (-5)\/(0 + 3\/3). Which is bigger: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 82.\nAnswer: -14\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l - 5. Let m be v(2). Let w = 23 + -64. Let q = w + 45. Which is the closest to -0.1? (a) q (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3262a2 (base 13) to base 3\nAnswer: 2020012001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 11 = -5*k - 0*f, 7 = -3*k + f. Which is the nearest to k? (a) -0.3 (b) 1 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 0*k**2 - 14 + 6*k**2 + k**2 - 4*k - 6*k**2. Let s be d(7). Let z(a) = -a - 4. Determine z(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 399781850 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3453\/3245 + -66\/59. Suppose 0 = -38*z + 37*z + 1. Which is greater: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 - (-67 - -64).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 0*p**3 - 8 + 0*p**6 + p**6 + p**3. Find the third derivative of o(t) wrt t.\nAnswer: 360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a**2 - 7. Let h(y) = -y**2 + 1. Let m(k) = -28*h(k) - 4*z(k). Let t(b) = -20*b + 12*b + 10*b. Calculate t(m(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 5 (c) -5 (d) -206 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2924 + 3?\nAnswer: -2921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**4 + 112*n**3 - 3*n**2 - 32*n + 6340202 wrt n?\nAnswer: -4*n**3 + 336*n**2 - 6*n - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -361*c - 1238 - 13554 - 4281 - 7280 for c.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) -901 (c) 0.1 (d) 0 (e) 527\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23399.5 centimeters in millimeters?\nAnswer: 233995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5055)\/(-530775)*6*-3.\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92592678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8600.417 nanometers?\nAnswer: 0.0008600417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416399 is divided by 1548.\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(270)\/(sqrt(27)\/sqrt(3)) - 2*sqrt(30)*4)\/(sqrt(20)\/(sqrt(98) - (sqrt(98) - (-1*sqrt(98) - sqrt(98))))).\nAnswer: 196*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2767, -6072, -9383, -12700?\nAnswer: -16023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1008 * -0.014.\nAnswer: 0.0014112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242159549.\nAnswer: 3467, 69847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 7*l + 4. Let b be u(8). Let v(j) = -j**3 - 4*j**2 - 2*j - 5. Let m be v(b). Find the first derivative of -3 + 0*a**m + 1 - a**3 wrt a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/38 and (28\/1792)\/(320\/35 + -9)?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p + 7. Suppose 0 = -14*h - 0*h + 28. Let u(x) = -8*x**2 - 10*x**2 + 24*x**2 - 8*x**h. Give m(u(y)).\nAnswer: 12*y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/((-1)\/12). Suppose -4*l = -h*l - 268. Calculate the remainder when l\/(-2) + 3\/6 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 + -0.1. Sort -2\/13, -0.5, m.\nAnswer: -0.5, -2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51075 is divided by 56?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - -5. Suppose 0 = 6*n + 298 - 886. What is the highest common factor of n and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-3 - (-4 - -3)). What is the third smallest value in -2\/17, b, -2.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377, 1046, 1717, 2390, 3065?\nAnswer: 3742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.91494383 + -127?\nAnswer: -124.08505617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000024 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4119415 divided by -823883.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8893162770 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 1556073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3.11 * 341\nAnswer: -1060.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 985703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30151106 - -20?\nAnswer: -30151076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and -0.0729.\nAnswer: -1.6767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462*n = 5*b - 464*n - 19, -40 = -5*b - 5*n. Solve b*c - 56 = -41 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -11*n**2 - 38*n - 85. What is u(-3)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 218488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423591 is divided by 79?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2324\/(-8)*24\/(-42). Let a be -162*(-3 - 33\/(-9)). Let o = d + a. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36 + 17 - -20) + 21\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371*m + 4162 = -369*m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 14. Let g = q - -16. Let j(o) = -5*o. Let b be j(-2). Solve -20 = g*w - b*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*q = -42*q + 26*q - 378 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + (((-12)\/14)\/(-2) - ((-6996)\/(-154) + -45)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*t**3 - t**2 + 3*t?\nAnswer: 114*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22904?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 416958.6 litres?\nAnswer: 416958600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1150*s + 1151*s = -5*v + 3, -5*v + s = -7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19141856, -19141898, -19141942, -19141988?\nAnswer: -19142036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -210.85212 times 0.3\nAnswer: -63.255636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150776 (base 8) to base 5.\nAnswer: -3210013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 o when three letters picked without replacement from {r: 1, o: 11}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34911 - 34925.3642. Let s = 0.2258 - u. Let t = -15 + s. What is t rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -2*p**5\/15 - 31*p**4\/24 - 3*p**2 + 1. What is the second derivative of k(g) wrt g?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - -36 - (0 - 6 - (-15 + 11))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1354 - 4156\/3. Is 0 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/4)\/g)**(1\/11)\/(g**(-1)\/g)**(-14))\/((g*g**6\/g)\/((g*g\/(g*g\/(g\/(g**(-1\/7)*g)*g*g)*g*g)*g)\/g))**(1\/30) assuming g is positive.\nAnswer: g**(-130577\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 57 + t**2 - 3*t**2.\nAnswer: -2*t**2 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (112\/(-203))\/8 + 1323\/261. Let i(p) be the third derivative of 11*p**5\/15 - 3*p**3\/2 + p**2. Is i(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164*t - 916*t**2 + 1722*t**2 + 6101*t**2 + 164*t to the form b + p*t + s*t**2 and give s.\nAnswer: 6907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1720.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13) - (sqrt(468) + -1 + sqrt(468)))) + sqrt(39)\/sqrt(300))**2.\nAnswer: -121*sqrt(13)\/5 + 190433\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33440 is divided by 32480.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2177, 2110, 2015, 1904, 1789?\n\"Answer: 2*z**3 - 26*z**2 - 3*z + 2204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18147\/15 + 2\/10.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 7359\nAnswer: 3679.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*t - h, -2*h + 24 = -2*t + 6*t. Let b(u) = -u + 11. Let w be b(t). Suppose 3*s + 8 = 2, -w*z = -5*s - 5. Which is bigger: z or -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 2*n**2 - 8*n + 10. Let g be a(5). Let h = -34 + g. Calculate the highest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.1 - -1.1. Let s(l) = -2*l - 10. Let u be s(-5). Suppose u = -2*p + 5*p. Which is the second smallest value? (a) 1 (b) w (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 154 + 305. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3220 - 368. Let l(w) = -2278*w**3 + 3*w**2 - w. Let y be l(1). Let c = y + h. What is c rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 68. Solve 0 = -5*b - m*b - 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.2518534\nAnswer: 1.259267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23904 - -24225. What is the remainder when 5131 is divided by g?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4546351 (base 8) to base 2\nAnswer: -100101100110011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 6662*x**3 + 78 - 155.\nAnswer: 6662*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, o: 5, k: 8}. What is prob of picking 1 k and 1 o?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*c + 90, -5*c - 3*v = -4*v - 179. What is the remainder when 135 is divided by c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1375 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i + 0 + 0)*(4 + 0 + 0) + 27 - 27 - 11*i)*(-46*i + 104*i - 42*i + 2).\nAnswer: -240*i**2 - 30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from waawawwwwwawaawwawaa?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 504328 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59815 = -96*o + 103*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(8)\/(sqrt(64) - sqrt(4)) + -2 - ((sqrt(98) + 1)*-5 + sqrt(98))**2)*3.\nAnswer: 3356*sqrt(2) + 19140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*-2*sqrt(304).\nAnswer: -3 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1992 - 40868 = -260*k - 1883*k for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12435 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f**2 - 129*f + 45. Let h be s(14). Sort 5, 102, h in decreasing order.\nAnswer: 102, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(11) + (sqrt(11)*2)**2) - (sqrt(99) + 2).\nAnswer: sqrt(11) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9257, 9254, 9247, 9236, 9221, 9202, 9179?\nAnswer: 9152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*m + 63, 2*m + 141 = 2*w + m. What is the remainder when w is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/2, -1\/6, 60 in decreasing order.\nAnswer: 60, 1\/2, -1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1436.624 from 0.13.\nAnswer: -1436.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 5*z + 4*z - 8, -b = 3*z - 2. Let i = b + 29. Let s = i + -12. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 2*v + 0*v)*(v - v + 4 + 4*v**2 + 2*v).\nAnswer: 4*v**3 + 2*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379 + 2*s**3 + 1244*s**2 + 379 - 1244*s**2.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-8)*z**(2\/3))\/(z**2\/z*z)**(2\/25) assuming z is positive.\nAnswer: z**(713\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14689 divided by -1?\nAnswer: 14689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5240, -5143, -5046?\n\"Answer: 97*c - 5337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22082 is divided by 91.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18 + -6)*1\/3. Suppose -p + 3 + 17 = v*c, -20 = p - 4*c. Let q = -6 + 8. Solve 0 = h + 4*d - 15, -2*h - q*d = -p*h - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 6*z + z + 4 = 0, 4*a + 5*z = 22 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -512*i + 12117 - 15189 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10441*f**2 - 45554*f**2 - 23105*f**2.\nAnswer: -58218*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.2, 11, 303, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-3*sqrt(130) - sqrt(130)) + sqrt(130) + sqrt(130) - sqrt(130))\/sqrt(10))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -196 + 230. Calculate the remainder when v is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -10, 2, -3, 1 in ascending order.\nAnswer: -10, -7, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*d - 16, 0 = 54*l - 59*l + 2*d + 8. Let b = -5.565 - 0.035. Is b smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 4, j: 4, d: 7, o: 2}. What is prob of sequence jh?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 l when three letters picked without replacement from {g: 3, b: 3, l: 2}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 37*s - 196. What is the remainder when 88 is divided by d(-29)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**3\/2 + 922*s. Let p(y) = -238*y + 2. Give z(p(q)).\nAnswer: 714*q - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7, 5, 25, 79, 179, 337, 565, 875?\n\"Answer: 2*n**3 - n**2 - 13*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1438831 - -3931169. Round r to the nearest one hundred thousand.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10)*(-5)\/2)\/((-13)\/(-65)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rceeuqzrqqqqceezzqr. What is prob of sequence zee?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1.363 (b) 8 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -38442*q + 1153260. Give r(30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 1888139.\nAnswer: -25\/1888139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 0, 3, -21, 1\/3 in decreasing order.\nAnswer: 3, 1\/3, 0, -0.7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9)*b**(-2)*b)\/(b**(-4)*b*b*b**(-1\/3)\/b)*(b**13*(b\/(b*b**(3\/10)*b*b*b))\/b)**(-14) assuming b is positive.\nAnswer: b**(-5366\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203 (base 16) to base 12.\nAnswer: 36b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-9) + (-204)\/54. Let z(u) = u**3 + 39*u**2 - 170*u + 88. Let g be z(-43). Put -3, l, -5, g in decreasing order.\nAnswer: g, -3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*t - 64 = 0, 3*l = -2*t - 2*t + 49. Suppose -10 = -3*d + 4*m, 0 = 5*d - 5*m - 4 - l. Let n be -2 + 0 - (-50)\/10. Is d greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 0 - (2 + -1). Suppose 2*j - 9 = -5*i, -j - 4*i = -o*j. What is the greatest common divisor of j and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 214230\/11 and 19474 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*w - 189*w - 35 = 185*w, -4*l - 44 = -4*w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 4147*q**5\/20 + 47*q**4\/4 - q**3\/3 - q**2\/2 - 5945*q. What is the third derivative of b(o) wrt o?\nAnswer: 24882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/52*8\/(-14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-153*5\/135)\/(1\/3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 112015999*f**3 + 174910363.\nAnswer: 336047997*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/10))**(-13\/4)*(h**(1\/5)*h*h)\/h**(-4) assuming h is positive.\nAnswer: h**(47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a millimeter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*d + 3*d - 41916. Let j = d + -1340. List the prime factors of j.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from kkckvkpkpnnkcpkkkkk.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -170 (base 16) to base 5\nAnswer: -2433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 104, 100, 86, 56, 4?\n\"Answer: -q**3 + q**2 + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2316676249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1420012054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 7200?\nAnswer: 50400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*n = -n + 748, 1134 = 3*m + 3*n. Suppose 0*c - 2*b = c - 361, 0 = -c + b + m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10\/3)\/((g*g*g*g**(7\/3)*g)\/g*g*g))\/(g**(-4\/3)*g*g*g**(-2\/17)) assuming g is positive.\nAnswer: g**(-572\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7*1*(-1 - 0). Let r(h) = -2*h**2 - 26*h - 75. Let j be r(-7). Is j not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.3, 0, 187?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {u: 2, c: 6, n: 10}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 204212, 206739, 209270, 211805, 214344, 216887, 219434?\n\"Answer: 2*g**2 + 2521*g + 201689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600661003?\nAnswer: 19, 199, 158863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 - -127. Suppose x = 5*a - 32. Let u = a + -14. What is the remainder when 6 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-50)\/(-12))\/(-5))\/(10155\/1354)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28.58415840501 - 2.\nAnswer: -30.58415840501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 89*u - 90. Give c(-90).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**2 - 2*w**2 - 18*w**4 - 95 + 67*w**4 - 78 + w**2 wrt w.\nAnswer: 1176*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14)\/(90\/3150).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -474*g**3 + 33*g - 1?\nAnswer: -2844*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*b + 1387 - 20*b - 17*b + 1352.\nAnswer: -2*b + 2739","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/4 (b) 6 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -17, -8, 8, 1\/5 in ascending order.\nAnswer: -17, -8, 1\/5, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1098*t**2 - 3 - 2121*t**2 + 3217*t**2.\nAnswer: -2*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 161427916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 105838, 212835, 319818, 426781, 533718, 640623?\n\"Answer: -m**3 - m**2 + 107007*m - 1167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 5, -22, -83, -190, -355, -590, -907?\nAnswer: -1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 7:32 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -204790\/309 at least -663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-10)*(-35)\/14. Let f = 4 - 4. What is the second biggest value in f, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12, -55, -124, -231, -388, -607?\n\"Answer: -2*u**3 - u**2 - 26*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.559 + -577.559. Let j = z - -575.9. Sort j, 0.1, -2\/3, -0.5 in decreasing order.\nAnswer: 0.1, -0.5, -2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(357)\/(sqrt(7)*1))\/sqrt(3))**2.\nAnswer: -10*sqrt(17) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24756575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y + 3. Let l(r) = -r**3 - 10*r**2 - 11*r - 1. Let u be l(-8). Let m = u + 47. Let v(g) = -9*g + 7. Give m*v(a) - 13*x(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + -1)\/((-2)\/10). Suppose -f + 9 = f - 5*d, -31 = 2*f + 3*d. Let y be 62\/6 - 3 - f\/(-6). What is the greatest common divisor of j and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5)*(9 + 4 - 9 + 4*b) - 108 + 208 - 115 + 3*b.\nAnswer: -b - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2202 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**6\/480 - w**5\/160 - w**4\/16 - w**3 - 2. Let l(i) be the third derivative of h(i). Find c, given that l(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 4 + -10)*(-444)\/10. Let z = -219 + m. Solve 10 = z*h + 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/((f**(-6)*f)\/f))*f**1*((f*f*f*f\/(f*f**4))\/f)\/f**(2\/11) assuming f is positive.\nAnswer: f**(-79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 145?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 615.5 + -118.5. Let z = 497.601 - m. Round z to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 87\/2. Let m = 0.2 - 1.2. Let u = 0.1 - 0.2. Which is the nearest to r? (a) u (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210201202102 + -1221121?\nAnswer: -210210201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -33. Suppose -z*b + h = -67, 3*b - h - 30 = 3*h. Calculate the remainder when 166 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2048*c + 1154*c**2 + 4570 + 4579 - 9149 wrt c.\nAnswer: 2308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*p - 5 + 5 + (0 + 0 - 2*p)*(29 - 4 + 27) - p - 2*p + 5*p in the form n + c*p and give c.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 m when four letters picked without replacement from {m: 4, q: 7, g: 3}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 = 7. Let m = k - 10. Solve 0 = -3*b - n - 4, 3*b - n + 3*n + 8 = m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/180*23 - ((-9200)\/192 - -48).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 17*u**2 + 0 - 5\/12*u**4 + 0*u - 7\/3*u**3. What is the derivative of l(o) wrt o?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 262\/13 - ((-60)\/(-65))\/6. What is the derivative of 7*o - q*o - 2*o + 9 wrt o?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 23*d + 54. List the prime factors of l(7).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -7 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6350\/(-7112))\/((-1)\/7).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-45421)\/(-154) + (-6)\/(-21). Let p = v + -296. Find the common denominator of p and 22\/(-21)*30\/8.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/9 - 4*q - 36.\nAnswer: -(q + 18)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -36*(-2)\/((-24)\/20). Suppose 14*u - 28*u = 560. Let w = u - y. Solve w = 2*s - 4*i, 3*i + 2*i + 25 = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220486, -220485, -220484, -220483, -220482?\nAnswer: -220481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = 24*z - 12. Factor -9 + 4*s**3 + 0 + 9 + 20*s**z - 4*s - 20.\nAnswer: 4*(s - 1)*(s + 1)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3395 is divided by 376?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/27 - 20\/27. Which is the nearest to 1? (a) -1\/8 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - ((-12)\/15)\/((-4)\/(-10)). Suppose -3*m = -m + 10. What are the prime factors of -1 - 3 - (x + m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 219*s - 4087. What is the remainder when 274*(0 + -2)\/(-2) is divided by c(19)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1447\/9060 - -13\/302. Let m = -1\/12 + f. What is the closest to m in 1\/5, -3, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*f + 1, 12 = -4*f + 4. Is 26 a factor of 1*471\/k + (30 - 33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 21*g + 90. What is i(-11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5 + 9*u**4 - 12*u**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a micrometer in nanometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1258.8021 rounded to the nearest 10?\nAnswer: -1260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.358 or -11\/185?\nAnswer: -11\/185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -79539 - -4488?\nAnswer: -75061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*r**3 - 493*r**3 - 654*r**3.\nAnswer: -1454*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 21) + (130 - 115).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*b**2 - 5568 - 903 + 6471.\nAnswer: -87*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10164 and 5701170552.\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 552561*u - 552561*u + 364*u**2 to c*u + i*u**2 + o and give i.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 60 = 10*v, 21326*v - 21331*v = 3*g - 30 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -900028 or -900035?\nAnswer: -900028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 615897.6mg in tonnes?\nAnswer: 0.0006158976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*n**3 - 5*n - 2*n**4 + 70*n**3 + 277 - 251 + (1 - n**3 - 1)*(4*n + 3 - 3) to b*n**4 + p*n + x*n**2 + k*n**3 + r and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120 + -68. Suppose 0 = -4*f + 5*c - 45 + 108, -3*c = -5*f + 95. Calculate the lowest common multiple of b and f.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 4, -0.15, -0.1, -4, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(832) + (1 + sqrt(832))*5 - ((sqrt(832) - (-5 + sqrt(832) + -4)) + sqrt(832)))**2.\nAnswer: -41632 + 640*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7779 at least 7770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-402*g + 5 - 439*g + 885*g)*(-5*g + 2*g + g).\nAnswer: -88*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4609727 rounded to 4 dps?\nAnswer: -0.461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.56, 3, -293\/5, -556 in decreasing order.\nAnswer: 3, 0.56, -293\/5, -556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -54*n**2 + 82*n + 103. Let i(u) = -8*u. What is f(i(g))?\nAnswer: -3456*g**2 - 656*g + 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2732746607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*l - 64545 = 1360*l + 817*l - 793 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-10))\/(2\/10). Let n(y) = 1 + 0 + 2*y**2 - 2*y + m. Does 6 divide n(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - o + 65 = 2*x, -5*x + 4*o + 80 = 0. Suppose 7*p - 1336 + 230 = 0. What is the remainder when p is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**3 - 16*u**2 + 110*u + 3. Let a(p) = 24*p**3 - 80*p**2 + 550*p + 14. Let c(x) = 3*a(x) - 14*q(x). Find the second derivative of c(v) wrt v.\nAnswer: 12*v - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t + 16. What is the remainder when 23 is divided by c(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21021102011 + -112?\nAnswer: -21021102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3)*c\/c**(-3\/4)*c*c*c**(1\/7)*c*c\/(((c\/(c*c\/((c\/(c\/(c\/(c*c**(-5)))))\/c)))\/c)\/c))\/((c*c**2)**(2\/37))**12 assuming c is positive.\nAnswer: c**(8123\/3108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -61261, -122526, -183791, -245056?\n\"Answer: -61265*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17497 - -420031\/24. Find the common denominator of t and (3 + (-57)\/(-8))\/(21\/(-28)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.333859 + 164.3.\nAnswer: 159.966141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 42*195235\nAnswer: 8199870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 7 - (3 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*h*z**4 + 41*f*h*z**3 - f*z**2 - 56*h*z - 3*z**5 wrt z.\nAnswer: 48*f*h*z + 246*f*h - 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - k + 279 = 275, -8 = 2*m - 2*k. Put -18, 3, m in descending order.\nAnswer: 3, m, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**2\/3 - 73*x - 3996 = 0.\nAnswer: -111, -108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t + 17. Let w = t + 30. Suppose -3*v - 2*d - 1 + 0 = 0, v - w = 2*d. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*u + 429*u + t - 10 = 0, 3*u - 5*t - 4 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -373, -2 in descending order.\nAnswer: -2, -45, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17385882.\nAnswer: 2, 3, 1451, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 33\/2*u - 3\/2*u**2.\nAnswer: -3*u*(u + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1145\/334 + 12\/167. Suppose -2*k = 3*x + 478, -7*x + 2*x - 3*k - 798 = 0. What is the common denominator of 1 + (x\/28)\/1 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millisecond in microseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 97*s**3\/6 + 119*s**2\/2 + 2*s - 11. Let d(b) = 98*b + 121. Let y(x) = -4*d(x) + 5*o(x). Differentiate y(t) wrt t.\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 98695.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (16 - (0 - 3 - (-19 - (-16 + 0))))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2446621*l**3 + 1462203*l?\nAnswer: -14679726*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/77, -0.5, -57\/11?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygth when four letters picked without replacement from gyhhgytx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*l + 397 - 284, 5*l = y + 52. Let g(f) = -23*f + 8. Let v(r) = -8*r + 3. Calculate y*v(n) + 6*g(n).\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 7*n - 3*i + 32, 8 = 3*n - i. Let a(d) = -d - 1. Let p be 8*((-3)\/(-2) - 2). Let c be a(p). Solve -n*v + 3 + 21 = 3*y, -5*v + c = -3*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 12\/42 - (-2)\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 1 - 1)*(2*a**3 + 2 - 2) + 2*a**4 + 2*a**4 - 3*a**4 as j*a**3 + d*a**4 + z*a + c*a**2 + h and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 4:55 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from lwpocwuo.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 5:30 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 16. Let x(v) = -5*v**2 + m - 4 + 7*v**2. Let t(w) = -8*w**2. What is x(t(s))?\nAnswer: 128*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 4. What is the third derivative of -p**4 + 2*p**c - p**2 - 2*p**4 + p**4 wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-8)\/(-10))\/(84\/((-7560)\/9)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 450\/250*15\/(-72)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4 + 1 + 0 + 1 + (0 + 5 - 2)*(-2 + 3 - 3))*(262*l**3 - l**5 + 2*l**5 - 270*l**3).\nAnswer: -5*l**5 + 40*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 1. Let b be d(1). Suppose 0 = s - b*s + 12. Is (-232)\/(-2)*21\/s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 3*t - 2. Let m be j(-4). Let l = 10 - -2. What is the remainder when 1230\/54 + 4\/m is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10274 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(138\/(-24) - -6) - (-249)\/(-36). What is the fifth biggest value in -5, -1\/2, 5, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-9) - (-5)\/3. Suppose -v = 3*v + 4*s - 4, g = 5*v + 4*s. What is the units digit of v\/(-18) + (-298)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04032 + -5.04032. Let f be ((-10)\/60)\/((-1)\/(-2)). What is the fourth smallest value in m, -0.3, 3\/4, f?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + d - 128 = -0*t, 0 = -t - 2*d + 51. Find the common denominator of 101\/16 and t\/(-18) + (-1)\/(-2)*0.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11298*l**4 - 2*l**3 - 2*l**2 - 7148*l.\nAnswer: 271152*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/15*(-24)\/(-8)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 997d?\nAnswer: -997c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**3 - 16*x**2 + 24*x - 28. Let b be a(-9). Let h = b - 282. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59550*i**3 - 96214*i**3 + 8952*i**3.\nAnswer: -146812*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/95 + 32\/285. What is the biggest value in y, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(6)\/sqrt(2)))\/(sqrt(49)\/(sqrt(28) - sqrt(7))) + 2 - (1 + (sqrt(45)\/(sqrt(9)\/sqrt(3)))\/(sqrt(48)\/sqrt(4))).\nAnswer: 1 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33618.80521 rounded to the nearest one hundred?\nAnswer: -33600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 64566.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u + 2*n, 3 = u - 4*u - 3*n. Which is bigger: u or -8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1281733670?\nAnswer: 2, 5, 7, 2615783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 + -92. Suppose -l*z = z + 8, 3*z = -g - 4. What is the third derivative of 18*t**g - 37*t**3 + 10*t**3 + 9*t**3 wrt t?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 3)*(-3*a - 7*a - 14*a)*(-1 + 1 - 6).\nAnswer: 1152*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 611*g**4\/24 + 5*g**3\/2 - 8*g**2 - 4*g. Is w(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/6575 and -39\/3921175.\nAnswer: 1031269025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -465 by -12504.\nAnswer: 155\/4168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 17*v - 100. What is z(-11)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -450*r - 206. Is d(-7) a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -6. Let h = 1.2 - 6.2. What is the third biggest value in l, h, -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/4)\/((-7)\/(-28)). Let g be 8\/20 + 26\/10. Let m(f) = -f**3 + 3 + g*f + 1 + f**2 - 6*f + 2*f**2. Give m(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (-9 + (51 - 8))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 8:34 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**2 + 24*h**6 - 13*h**6 - 21*h**2 + 12*h**6 wrt h?\nAnswer: 2760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from mmmrmmrmmmmmmmmmrrmm.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 4*x - x + (4*x - x - x)*(-5 + 0 + 1) as p*x + v and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -629*w + 9*w**2 - 625*w - 9*w**2 + w**3 + 1255*w - 325 to y*w**3 + i*w + j*w**2 + s and give s.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3676691 or 3676740?\nAnswer: 3676740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285.\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k + 708 - 876 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -85 (base 11) to base 16\nAnswer: -5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_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 smallest common multiple of 18 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/2034 and 53\/2370.\nAnswer: 803430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**3\/6 - w**2\/2 - 6*w. Let p(m) = -7*m - 7. Determine 6*b(a) - p(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = m - 0*m. Suppose p = -2*g + 4, -m*g - 2*p + 8 = -0. Suppose k - 191 = -6*j + 2*j, j - 2*k - 59 = g. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6682.1477 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 + -107. Is (15858\/(-24) - -5)\/(g\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.153 + 1.353. What is the second biggest value in 3, -3\/352, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4806114174 + 433\nAnswer: 4806114607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.027983 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9034418231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8307 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.2581 - -4.149. Round j to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -795639 divided by 795639.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*7\/35.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f**3 - 2*f**2 - 8*f + 8. Let h(x) = -3*x**3 - x**2 - 3*x + 4. Give -5*h(g) + 2*r(g).\nAnswer: g**3 + g**2 - g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 0 + -1*2. Let y(h) be the second derivative of h**4\/12 + 2*h**3\/3 - 7*h**2\/2 - 36*h. What is y(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minus 2470710.1?\nAnswer: -2470540.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132\/13 at least 241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - 7 - (43 - 77) - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 4*a - 57. Does 16 divide (2\/(-3) + 14\/6)*a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1181754*o**2 + 1181754*o**2 - 1028224*o**3 + 1028219*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1359a3 - -20?\nAnswer: -135983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 12:50 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1891957 < -1891957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21463 = 1069*k - 24188 - 1385 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 - -7 - (-5 + 1). Suppose -4*p + s = -4*s - d, 5*p - 3*s = 20. What is the lowest common multiple of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928095169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 6 + 17)*(-3*q - 3*q**2 + 3*q) + (3 + 1 + 0)*(q + q**2 - q).\nAnswer: -68*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -34298 and -38546 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10730 + -9523. Is 27 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 8. Let y be z*0*(-1)\/3. Solve 0*u + u + 4 = y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-131216)\/(-28) - -1 - 26\/91?\nAnswer: 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - z. Let g = -29 - -31. Let a(u) = -51*u**g + 95*u**2 - 3*u - 50*u**2. Let v = -1 + 2. What is v*a(f) - 3*x(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-6) - 2)\/((-16)\/(-128)). Let n be (5 + -5)\/(b - (-4 + 6)). Find p, given that 3\/4*p**2 + n*p - 3\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -2.1. Let d = 1.611 + -0.011. Let f = d - 2.6. What is the nearest to f in -0.4, -2, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268212557 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 4, 0, -0.09512, 4\/5, 3\/2?\nAnswer: -0.09512","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509933 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -362, -358, -230, 22, 398, 898?\nAnswer: 1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 4*h - 8*h)*((-5 + 4 + 3)*(8 - 10 - 9) + 3 + 0 - 1 + 0 + 2 + 0 - 2 - 1 + 2 + (1 + 0 + 0)*(-5 - 2 + 5) + 0 + 4 - 2).\nAnswer: 171*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 486 - 19437\/40. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 - 40*t**2 - 27*t - 135. What is h(21)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*g + k, -5*k + 1 - 16 = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 90, 0.3, -50724 in descending order.\nAnswer: 90, 0.3, -4\/5, -50724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 6*a + 2. Let j(o) = -6*o**2 + 2*o**2 + 0*o**2 + 2*o**a. Let n(b) = b**2. Determine n(j(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 1956?\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a. Let s(g) be the second derivative of -g**3\/6 + 2*g. Give s(q(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 400.9 - 363. Let y = s + -38. What is the second biggest value in 1\/12, y, -3\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 24756?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, e: 2}. What is prob of sequence ee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -4, 12, -5, -145, 63.\nAnswer: -145, -5, -4, -2, 5, 12, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 367875477, 367875483, 367875493, 367875507, 367875525, 367875547?\n\"Answer: 2*p**2 + 367875475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 8. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1376*n - 35087 = 63985 for n.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 20*r - 2094. Calculate t(105).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -73800 to the nearest one thousand.\nAnswer: -74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 60*r - 24705. Let i(d) = -d - 11. Determine l(i(f)).\nAnswer: -60*f - 25365","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 + 19?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23907997 by -1.\nAnswer: -23907997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -4*o - 2, 4*o - 413 = -5*x - 379 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807*v**5 + 3765468*v**4 + 5883929556*v**3 + 3121224913872*v**2 + 65881288730304*v + 489651174144 = 0 for v.\nAnswer: -1548, -22, -2\/269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5 + 10811*a**4 + 29018399*a**3 - 1088542523*a**2 - 29018400*a + 1088531712 = 0. What is a?\nAnswer: -5424, -1, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141997\/6 + 8519677\/360. Calculate the common denominator of q and -67\/15.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 6384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 0*c - 3*n - 7476097, 0 = 3*c - 5*n - 5607059. Let q = c - 2999028. What is q rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.01 - -4. Let q = -0.21 - k. What is the smallest value in 2\/7, -5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -487 divided by -7322.\nAnswer: 487\/7322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 5 - 2\/9*b**2 - 2\/9*b + 2\/27*b**3 + 1\/9*b**4. Factor o(d).\nAnswer: 2*(d - 1)*(d + 1)*(2*d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5316393492.\nAnswer: 2, 3, 257, 574621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1410084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11118192*o*w - 180474416*w with respect to o.\nAnswer: 11118192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65 + 2?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 13 - 4 + 17*a to j*a + i and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, -20, 26, -4, 1 in ascending order.\nAnswer: -20, -13, -5, -4, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103772*d + 104760*d - 208536*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2430222?\nAnswer: 2, 3, 405037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 4, 20, 40, 64, 92, 124?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 552\/414*4\/80*6. Factor r*f**2 + 12\/5 + 14\/5*f.\nAnswer: 2*(f + 1)*(f + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 + 0*c**3 - c**3)*(-4*c + 0*c + 2*c) - c**4 + 3 - 3 + 3*c**3 - 3*c**3 - 2*c**4 + (0*c - c**4 + 0*c)*(1 + 2 + 0).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 5*y - 2 - 23, -3 = 3*y + 3*o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 10 + 8 = 4 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -580095 (base 13) to base 16\nAnswer: -1fd0d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0867 and -224?\nAnswer: 224.0867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4346585174.\nAnswer: 2, 4133, 525839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**6\/60 + 3*d**5\/40 - d**4\/12 - 61*d + 40. Let p(y) be the first derivative of r(y). Factor p(g).\nAnswer: -g**2*(g - 2)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -3\/20*x**5 - 77*x + 1\/4*x**4 + 5*x**3 + 0 + 12*x**2. Determine k, given that z(k) = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 294, 1, 0.51, 2.4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 429 = -501 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111000000111100 (base 2) to base 5.\nAnswer: 3432000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -129861 or -129858?\nAnswer: -129858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0451 - -88.0451. What is the second smallest value in -1\/2, z, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) 3 (c) 0.3 (d) 0 (e) 3\/2 (f) -46 (g) -6045\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2745*j**2 - 16*j + 928. Let z(q) = -1830*q**2 - 11*q + 618. Let b(c) = -5*k(c) + 7*z(c). What is the second derivative of b(o) wrt o?\nAnswer: 1830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -8. Suppose 11 = 3*b - d, -3*b - 7 - 2 = 3*d. Let s = 11 - 11. Solve s = -b*a - 10 + i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1124*p**5*w - 205698*p**3*w - 26271373*p**2*w + 2*p**2 + 11*p wrt p?\nAnswer: 67440*p**2*w - 1234188*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 12 = -4*g - 2*s, 5*s - 18 = -2*g. Let k be -1*4\/152*-2. Is k greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1472821?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, b: 2, s: 3, t: 3, h: 2, p: 1}. Give prob of picking 1 b and 3 t.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 131?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a milligram in micrograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 39035*p - 66. List the prime factors of k(1).\nAnswer: 7, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 75*v**2 + 13*v - 37. Let m be t(4). What is the units digit of 3 - (-2)\/(6\/m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43.6 + -39.6. Which is the second biggest value? (a) z (b) 14 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 24*t - 241. Let n be i(10). Let w(z) = 13*z**3 + z**2. What is w(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.7554 + 0.0546. Let t = 0.19 + g. What is the nearest to 0 in t, 0, 1\/37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/8 in -1.6, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*f - 6 = -2, f - 2 = 0. Let m(l) = -7*l + 5. Let q(v) = 6*v - 5. Let d(y) = 5*m(y) + 6*q(y). Let c be d(0). Put c, 5, w in descending order.\nAnswer: 5, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -16 + 11. What is the second derivative of 2*w**u + 0*w**5 - 5*w - 3*w + 0*w**5 wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 3*a - 5. Let t be b(4). Let q be (-6)\/t - 141\/9. Let x = q - -18. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 7)*(w + 0*w - 3*w) - 4*w - 7 + 7.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*n - 517, 3*u - 7 - 302 = 3*n. Let q be (-4)\/((-74)\/70 - -1). What is the greatest common factor of q and u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, f: 2, z: 1, t: 1, d: 2, e: 1}. What is prob of sequence efd?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 3. Let q(u) = 6 + 5*u - 8894*u**2 + 4*u**3 + 8894*u**2. Let c(v) = v**3 + v + 1. Determine m*q(t) + 5*c(t).\nAnswer: t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2\/4 - 9*x\/2 = 0 for x.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 110*h - 17. Suppose 127*p - 123*p = -3*r - 51, 68 = -4*r + 2*p. Let x(o) = 37*o - 6. Determine r*x(s) + 6*l(s).\nAnswer: 31*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*l - 29 + 56 - 27 to z*l + s and give z.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 - -1.49. Let c = u + 7.2. Let o = c - 8.7. Put 0, 1\/3, -3\/7, o in increasing order.\nAnswer: -3\/7, 0, o, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 2:50 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 + 8*a**2 - 9*a + 49. Give r(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-38)\/70 + (-4)\/(-10). Let f be (-18)\/(-81) + (-70)\/(-9). Let p = f + -8. Which is bigger: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -20, -3*u - 3*q - 219 + 189 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 284403 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1042*w**2 - 24*w + 0*w**3 + w**3 + 3*w**3 - 1022*w**2.\nAnswer: 4*w*(w - 1)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/5)*k**(1\/4)\/k)**(-9\/13) assuming k is positive.\nAnswer: k**(27\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbbxdbjbqzjd. Give prob of sequence dqzx.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*y + 290 = -410, -1750 = -5*u - 5*y. Calculate the least common multiple of u and 532.\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3496290 divided by -1748145.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 65947631, 131895264, 197842897, 263790530, 329738163?\n\"Answer: 65947633*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 0*i + 85\/6*i**3 + 0*i**5 - 7\/15*i**6 + 0*i**4 - 5*i**2 + 0. What is the first derivative of v(c) wrt c?\nAnswer: -168*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -6, -3, 4, -354 in decreasing order.\nAnswer: 5, 4, -1, -3, -6, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 - 1. Let r be (-22)\/28 + ((-16)\/14)\/(-4). What is the third smallest value in 4, z, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 83904*n**3 + 439992576*n**2.\nAnswer: 4*n**2*(n + 10488)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 - -56. Which is the smallest value? (a) j (b) -5 (c) -2\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -177*x + 274*x - 174*x - 58*x as y*x + c and give y.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -166\/5, 26126?\nAnswer: 26126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6419418 milligrams to nanograms.\nAnswer: 641941.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 - 970*d**2 + 948*d - 11630. What is h(-486)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4 + 2118*t**3 + 27776*t**2 + 102840*t + 77184 = 0. What is t?\nAnswer: -6, -1, 1072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k + 46. Let x be q(6). Sort -0.4, -1, -3\/5, x in ascending order.\nAnswer: -1, -3\/5, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6204 and 2?\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 0 + 4 + 1. Let u be 5 - 1*(-2 + i). Is 192\/2 + 3\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7668 = 6*n + 6*n. Let g = n - 98. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8441 a factor of 650963479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.27 - 1.27101. What is y rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19830 + 6591 + 9*k + 6619 + 6624.\nAnswer: 9*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - w + 11, -9 = 241*a - 239*a + w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (-11 - -13 - (13 - 13))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 55*k**2 + 658*k + 33813. What is p(-56)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**3\/3 - 3*l**2\/2 + 2*l - 58. Find d, given that y(d) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/9 (b) -5 (c) -2\/3 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148\/(-10) + (-6)\/135 + 33369\/6615.\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u = 0. Suppose -5026 - 2622 = -819*z - 137*z. Solve -3*l + 12 = -a + 3*a, u = -2*a - l + z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 24. Let t be k(10). Suppose 0 = 5*f - 3*f - t. Is f*(4 - (-63)\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/31911 and -91\/11982.\nAnswer: 127452534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(187)*2 - sqrt(187)) + sqrt(187))\/(sqrt(891)*-2 - sqrt(891)).\nAnswer: -2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*c**2 - 43*c + 43*c + (c - c - c)*(-3 + 3 - 2*c) - 3*c + 2*c**2 + 3*c - 3*c**2 - c**2 + c**2 in the form r + h*c**2 + p*c and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 29750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f - 66. Let m(l) = -5*l + 133. Let t(j) = 7*a(j) + 4*m(j). Let w = 3 + -3. Let d be t(w). Calculate the highest common factor of d and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 + 1)*(0 + 5 - 4)*(9 - 6*x**2 - 9) to q*x**2 + b*x + n and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13475647.\nAnswer: 13475647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 12 = -3*w, -3*w - 54 = -v - 30 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 j when three letters picked without replacement from {q: 7, y: 9, r: 2, j: 1}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus -0.01703?\nAnswer: -5.98297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 0.2, -137.1 in descending order.\nAnswer: 0.2, -2\/15, -137.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.3 + 16. Let y = 9\/1667 - 21707\/6668. Which is the second biggest value? (a) -3 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2924 divided by 2\nAnswer: -1462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 197 + -185. Let k(d) = -20*d + 12*d + j*d + 2*d. Let t(o) = o. What is k(t(n))?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/952 and 73\/2128.\nAnswer: 36176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - y**2 + 28*y - 29. Let x be v(4). Solve -2*r = -5*b + 9, r - 5*b + 4*b + x = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119386 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**2 + 3*k - 3835. Let h(y) = y + 2. Calculate 5*h(a) - 6*z(a).\nAnswer: -7*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -5466.\nAnswer: -17\/5466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10726, 21338, 31856, 42292, 52658, 62966, 73228, 83456?\n\"Answer: 2*y**3 - 59*y**2 + 10775*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 + 2 = 0. Suppose 4*p + f*g - 27 = 0, -5*p + 0 = 3*g - 30. Does 3 divide (-14*(4 - p))\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -8*c**3 + 2*c**2 + 15*c + 14. Give x(-4).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 85\/(-51) + 29\/3. Suppose -42*b - u - 118 = 0. What is the third smallest value in b, -0.3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -3*w**3\/2 - 5*w**2\/2 + 78*w - 164. Let h(s) be the first derivative of o(s). What is h(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4820\/(-3374)*(21\/(-2))\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/3780*9 - 7205\/(-25025)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -839, -3444, -7799, -13910, -21783?\nAnswer: -31424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 866170919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9*3*2. Suppose -z*g - g = -12, 31558 = -2*k - 3*g. Let c = 28215 - k. Round c to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1521 - 1522. Let p be 19 + 1 + 1 + -1. Let k be (-5)\/6*(-6)\/p. Put a, k, -0.1 in descending order.\nAnswer: k, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31708.\nAnswer: 2, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68901103 is divided by 1911?\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -w - 1. Let x(z) = -7 - w*z + 1 - 2*z. Let t(h) = 20*h + 17. What is 6*t(b) + 17*x(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*p = -35, -2*p - 298 = -4*g - 326 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/21)*n\/n**3*n*(n\/n**(-2\/9))\/n**(-2) assuming n is positive.\nAnswer: n**(134\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfxfbz. Give prob of picking 1 b, 1 z, and 2 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10730210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4792 * 5406.\nAnswer: -25905552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 11 + 1820\/(-104).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 58 = -11*w + 5*w + 2*w for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 - 79. Let l = 2\/99 - 109\/495. Sort n, 2\/17, l in decreasing order.\nAnswer: 2\/17, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.869 + -13.164. What is c rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 25785011?\nAnswer: -5157002.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-176)\/(-242))\/((-4)\/(-22)). Solve -4 = -o*q - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 401530, 803074, 1204618?\n\"Answer: 401544*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -907, 2, 1\/6 in decreasing order.\nAnswer: 2, 1\/6, -907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81742706*k - 2*k**3 - 81742706*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -204*z - 216*z - 134 + 0 - 110 + 152*z. Does 38 divide l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9990882 and 3330294?\nAnswer: 9990882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/3 + 26*t**4\/3 + 20*t**3 - 244*t**2\/3 - 574*t\/3 - 98 = 0.\nAnswer: -7, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5542 or 5544?\nAnswer: 5544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 7, 0.2, -3, 165, 0.299?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38343 by -21.\nAnswer: 12781\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 29052?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -241 - 479. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.002 - 3.698. Let n = 3.69927 + b. What is n rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + -2*-1*sqrt(325) - 6*-1*sqrt(325).\nAnswer: 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10 + 2 + 13 - 3*d - 8. Let t be s(7). Let f = -1 + 0. Which is the nearest to f? (a) t (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007041 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**6\/3 - 2*p**5\/5 - 2*p**4 + 8*p**3\/3 + 31. Factor t(s).\nAnswer: 2*s**2*(s - 2)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31363680*a**4 - 44947590.\nAnswer: 125454720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 13*r**3 - 3*r**2 - 8*r + 1. Let w(l) = -13*l**3 + 3*l**2 + 8*l - 1. Let d(t) = -2*n(t) - 3*w(t). Is d(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*b + 225*b = -2705*b + 102696 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-24\/11)\/p)\/(p*p**(-2\/3))*p**35*p*p**(1\/4) assuming p is positive.\nAnswer: p**(4321\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/13851 + 1094213\/221616. Let p be (-16 - 4)\/(3 - 1). Calculate the common denominator of p + 2 + 5005\/754 and g.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - 100*j - 310814. What is c(420)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -618180, -618224, -618268, -618312, -618356?\n\"Answer: -44*s - 618136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 4:14 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 293 (b) -8 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6214, -12430, -18646, -24862, -31078?\nAnswer: -37294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97882*i*z**3 + 4*i*z**2 - 104*i*z + 3*i - z**2 wrt z.\nAnswer: -587292*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5*-2)\/((-66)\/(-330))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/342)\/((-23)\/276*2).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -134. Suppose -67 = -n + q + 4*q, -2*n = -2*q - s. Let p = n + 33. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8024*f = -3*j - 8092*f - 253, -3*j + 5*f + 112 = 0 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s + 4 - 12*s**2 + 8*s**2 - 2*s**3 + 7*s - 2*s**3 + 0*s**3 + 5*s**3 - 6*s**3 + 4*s**3 + 3*s**3 + (0*s**2 + 0*s**2 + 2*s**3)*(0 + 5 - 3).\nAnswer: 6*s**3 - 4*s**2 + s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-19 - (6 + (-22 - -6))) + 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-15) - -2*(-509)\/(-6). Suppose -3*z - 3*n = 2*z - 89, 5*z - 105 = 5*n. What is the highest common divisor of b and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 4 (c) -18858\/103 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 4 (b) 3 (c) 0.5 (d) -0.2 (e) -3 (f) 1\/7 (g) 2\/465\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 48*g**3 - 20*g**2 + 20*g + 20. Let q be 9 - 2\/(-6)*1*-9. Let v(i) = -7*i**3 + 3*i**2 - 3*i - 3. What is q*t(f) + 40*v(f)?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*z + 8 = 24*j + 152*z, 5*j = 4*z + 37 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-5 - -6)*(1 - 0). Let t = 11\/20 - 4\/5. Suppose -3*o = -2*r + 36, 3*r + 65 = 6*r + o. What is the second biggest value in -5, z, t, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7439 and -5.\nAnswer: 37195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 201\/1608 + (5\/8)\/(-1). Let l = 0.06 + -0.11. Which is the biggest value? (a) l (b) r (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 81. Let z = 2.619 - -47.781. Let q = z + f. What is the second biggest value in 0.7, 4, q, -1\/7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 5, -3342, 4, -1, 2.\nAnswer: -3342, -1, 2, 4, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/4)\/y)\/y)**(-3\/4))**(1\/19) assuming y is positive.\nAnswer: y**(21\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 - -142. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -4. Let w be -6*(1 + 3\/g). Suppose 0 = -0*i - w*i + 9. Solve 0 = -0*v - i*v + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*t + 197*t = 2*m + 22, 3*t - 5*m = -10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4945485*d**2*h**2 + 2*d**2*h + 55825*d**2 - 2*d*h - 12*d - 2*h wrt h?\nAnswer: -9890970*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.20793+-2\nAnswer: -0.79207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 32. Suppose 3*w = 2*w - 2*f + 7, -2*f = -3*w - 11. Let p(t) = t**2 + 2*t + 1. Let i be p(w). Which is the biggest value? (a) y (b) i (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 26*d**3 - 17*d**3)*(1 + 2 - 2).\nAnswer: 9*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vp when two letters picked without replacement from vmppppmpvvfmmmu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -5*m + 2*j, 8*m - 10*m - 20 = -3*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n - 1. What is z(6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79*f - 5*f**3 + 1760 - 3515 + 1758 - 12*f**2 wrt f?\nAnswer: -30*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from nuuquxxnxcxo.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*(sqrt(3600) + sqrt(3600)*2 + sqrt(3600) + sqrt(3600) - sqrt(25)))\/(((2*sqrt(80) - sqrt(80) - sqrt(80)) + sqrt(80))*1)*1.\nAnswer: -531*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 9:59 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Put q, 5, -1 in descending order.\nAnswer: 5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 3 (b) -5 (c) 11114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = -2*z + x, 5*x = -z + 16. Suppose z*l = 4*l. Suppose -b - 2*b + 84 = l. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 295 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 1)\/(2\/(-4)) + -444. Let q = d - -983. Find the third derivative of q*s**3 + 17*s**4 - 20*s**2 - 537*s**3 wrt s.\nAnswer: 408*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.007 - 0.193. Let k = 0.03 - 4.03. What is the fourth smallest value in w, k, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from {i: 7, m: 2, w: 7, t: 2}?\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4470 = -0*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329193 is divided by 946.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.89 + 0.39. Let s = 4.5 + w. What is the nearest to s in -4, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v\/(v*v*v**3)*v\/((v\/v**(1\/9))\/v)*v\/(v*v\/(v*v\/(((v\/(v*v**(-6)))\/v)\/v)*v)*v))**(2\/27) assuming v is positive.\nAnswer: v**(-178\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1326 from 52208569.04.\nAnswer: 52207243.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 31 = -z, 10*k + 283*z = 147*z + 134*z + 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2463.651 + -2473.8. Let m = -10.1 - w. Let q = 0.077 + m. What is q rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 161 and 736.\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.13 - 0.23. Let b = n + 4.1. Let t = 9 + -9.1. Sort b, -3, t in decreasing order.\nAnswer: b, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55613?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 3690 - 3690.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1742101*o**2. Let m(p) = 74*p**2. Give l(m(r)).\nAnswer: -9539745076*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1971 and 1752?\nAnswer: 15768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 193 + -192. Let j be (-38)\/(-9) - (-6)\/(-27). What is the nearest to i in j, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -933, 1849, 0 in decreasing order.\nAnswer: 1849, 0, -933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 35. Calculate the remainder when z(-10) is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m. Let l be h(4). Let n = 1918 - 2836. Let t be (-2)\/4 + n\/l. Round t to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 119*o + 276. Is k(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1. Let j(u) = 3*u + 69. Let l(q) = 2*c(q) + j(q). Let d be l(-20). Let y(z) = -z**3 + 6*z**2 + 6*z + 9. Let v be y(d). Solve -6*b = -v*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -493 + 500. Let i(p) be the third derivative of p**5\/15 - p**4\/6 - p**3\/2 + 2*p**2. Let r be i(5). Calculate the greatest common divisor of b and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(17) + (sqrt(17) - (-1 + sqrt(17))) - (sqrt(17) - ((sqrt(17) - sqrt(272)) + -3 - sqrt(17)))) + (-4*(2*sqrt(85) + sqrt(85)))\/sqrt(5).\nAnswer: -16*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -878 - -881. Solve c - 6*h + a = -2*h, 4*c = -2*h + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*x - 23*x - 2376 = 0 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836 a factor of 1060227576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -24.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2261335.\nAnswer: 5, 83, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 6250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1482 and 8474?\nAnswer: 330486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2177116746\/135995 - -80044\/5. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10*c**3 + 3*c**2 - 3*c + 2. Let n(i) = i**2 - i + 1. Let t(l) = -3*n(l) + o(l). Determine t(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24591 is divided by 60?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/4*(-2)\/3. Let l be -3 + 0 + u - -4. Suppose 0 = l*w - 12 - 4. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 8:47 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 207349.449962 - 207349. Let x = n - 0.45. What is x rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 1152.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3643*h*w**3 + 44408*h*w - 2353*w**3 + 220*w wrt w.\nAnswer: -21858*h*w - 14118*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 21. Suppose -75 - 31 = -k*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -16580*h**3 + 9*h + 7. What is the thousands digit of o(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1247*b**3 - 133*b**2?\nAnswer: -7482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from jjkkkjmtsmkk?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -199*h. Let p(x) = -x**2. Give p(t(m)).\nAnswer: -39601*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8292290 is divided by 490?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 12*i + 137. Let l be g(-11). What is the greatest common factor of l and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(132\/(-488)))\/(1\/(-6))*(-2)\/(-8)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4*n + 0*n + 2*n)*(n - 15*n + 8*n) + 1 - 11*n**2 - 1 + 2*n**2 - 2*n**2 + 2*n**2 + (-3 + 3 + n)*(-n + 0*n + 2*n).\nAnswer: 4*n**2 - 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 7*m + 2. Let k be i(7). Suppose -k*n = 2*n. Suppose -3*a + 24 = -n*a. Calculate the remainder when 29 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.7149 + 2.692562. Round c to 3 dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h - q + 29 = 0, h + q - 11 = 0. Suppose h*u - 3*u = 0. Suppose u = -5*i + 112 - 12. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2\/5 - 31063722*n\/5 = 0. Calculate n.\nAnswer: 0, 10354574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.1002 (b) -1\/4 (c) 1\/4 (d) 1702\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000187762 rounded to 6 dps?\nAnswer: 0.000188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*f = -a + 56*f + 9, -4*a - 2*f = 14 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 59*a**3 + 16*a**2 - 174*a**3 + 60*a**3 + 11*a + 13 + 4*a + 57*a**3. Calculate k(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 16*n - 15*n + a, 3*n - 9 = -a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-59 + 59 + 8*h)*(-5*h**3 + h**2 + 3*h**3 + h**3) as l + w*h**3 + i*h + k*h**4 + j*h**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -7*n + 0*n**3 - 3*n**2 + 69 - 17\/4*n**4. Find the second derivative of r(x) wrt x.\nAnswer: -102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1721*d + 9506*d + 235823 = -2478*d - 205486 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62022 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -376407, -1505510, -3387309, -6021804, -9408995?\n\"Answer: -376348*y**2 - 59*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 2*k**2 + 17*k - 49. Give t(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -43.599.\nAnswer: 87.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/45*((-4)\/(-6) - 88200\/(-378))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 17. Let s(b) = -6*b**2 + r*b**2 - 11*b**2. Let a(d) = -d**2. Determine a(s(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-51)\/(-12) + 9081\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 9:29 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15240 (base 6) in base 7?\nAnswer: -10131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 308 = -24*g + 2*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkhk when four letters picked without replacement from khkhhkkhhhkk.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 684\/1705475 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-36) - (-4 + 2296\/(-36)). Let g = 420 + 3124. What are the prime factors of g\/68 - 8\/l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11117, 44531, 100213, 178163?\nAnswer: 278381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 - 13870*g\/3.\nAnswer: -2*g*(g + 6935)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*d**5 + 80*d**5 - 2*d**2 + 53*d**5 - 104037*d + 103932*d wrt d.\nAnswer: 5880*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -35 (b) 46 (c) -1.5 (d) 0 (e) -0.4 (f) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*m**3 - 22*m**3 - 53*m**3 - 4*m**2 + m**3 + 4*m**2 + (-3*m - 2*m + 3*m)*(-4*m**2 + 3*m**2 + 3*m**2) + 0*m - m**3 + 0*m.\nAnswer: -64*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/6*(-7)\/(140\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j - 113 = -2*v, -5*v = j - 55. Suppose 6*l + j = l. What is the units digit of (-2)\/l - (-2168)\/56?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**2 + 6*s**2 - 3*s**2 + 2*s**2 to k*s + n + h*s**2 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 19*j + 435. Give t(-30).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1237616, -2475231, -3712846, -4950461, -6188076?\n\"Answer: -1237615*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1418, -1429, -1442, -1457, -1474?\n\"Answer: -f**2 - 8*f - 1409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 19. Let b(v) = 6*v. Give o(b(u)).\nAnswer: -6*u - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5140 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 213.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvh when three letters picked without replacement from {g: 2, l: 8, h: 2, v: 4, q: 3}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from ozwadede.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -168*s + 5. Let k(n) = 93*n - 49*n + 77*n - 6 + 46*n. Let l(i) = 4*g(i) + 3*k(i). Let z be l(2). Round z to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510 divided by -255.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -957\/4 less than -240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*j - 4*j. Let t be (2\/6)\/(j\/42). Let h be (-21)\/(-4)*32\/12. Calculate the greatest common factor of h and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**3 - 4*k**3 - 3*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 321*t - 6194. Calculate f(20).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2*2*((-16835)\/(-148))\/(-35)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 431\nAnswer: -3448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/7 - 26\/28)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7142 divide 277014567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5 = 25. Calculate the greatest common divisor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 - 50*q**2 - 6*q - 60. Calculate k(-25).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18*3\/66 - (-2)\/(-2). What is the nearest to 1\/5 in -2\/7, -1\/7, f?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38393511.\nAnswer: 3, 13, 953, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1766528*d**2 - 5023*d - 37 wrt d.\nAnswer: -3533056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 9*c + 1. Let y(n) = -36*n - 44. Let j be y(-1). Determine h(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 32716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v - v. Solve i + 3 - 2 = v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/9 + 1)\/((-5)\/(-8)). Is 1 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -b + 8. Let o = 12 - b. Let g(c) = c**2 - 4*c. What is the lowest common multiple of 8 and g(o)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -8, 2*r - 2*m + 12 = 3*r. Solve -4*s - 3 = 2*u + 1, r = -4*u - 2*s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -13)*(-12)\/(-9). Suppose -5*x + 2*f + 16 = 0, -3*f + 0 = -x - 2. Find the first derivative of -x*p**3 + 16*p - b*p + 3 wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25264 - 25265. What is the closest to a in 3\/2, -780, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**4\/28 - 5*l**3\/21 - 2*l**2\/7 + 1607. Factor r(n).\nAnswer: -n*(n + 1)*(n + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14745 or 73731\/5?\nAnswer: 73731\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**5\/60 + 7*s**4\/24 - 2*s**2 - 83*s. Determine u(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 greater than 0.029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 4*f**2 - 6*f + 1. Suppose -2*u - 2*j = 12, -4*u - 3*j + 0*j = 23. Let x be b(u). Let d be 15\/(-36) + (-2)\/x. Is -2 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 270787. Let k(b) = -9*b. Determine k(o(y)).\nAnswer: -9*y + 2437083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64891 - 64882 + 12*o + 194657 + 6*o - 64885.\nAnswer: 18*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3)\/x)\/(x*x**4))\/(x**(-6)*x**3*x) assuming x is positive.\nAnswer: x**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/150312?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1, 9395, 3.\nAnswer: -3, -2, -1, 3, 9395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-695*b - 127*b**2 + 695*b)*(-2*b + 4*b - b)*(0 - 2 + 0).\nAnswer: 254*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 0.1 (c) 2\/245 (d) 5 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 720.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p*p\/p**(1\/4))))\/p*p*(p\/(p\/(p**(1\/5)\/p)))\/p)**(-42) assuming p is positive.\nAnswer: p**(-399\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*(sqrt(2448) - sqrt(2448)*2) - (-2*(-1 + sqrt(2448)) - (4 + (sqrt(2448) - sqrt(2448)*1))))**2.\nAnswer: -360*sqrt(17) + 61209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, k: 2}. Give prob of picking 2 k and 1 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2282*o - 415217. Calculate m(182).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -4, -14106444, 1\/16 in increasing order.\nAnswer: -14106444, -4, 1\/16, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93409 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 15. Let c(n) = -n + 12. Let z be c(13). Let r(j) = -4*j**3 - j**2 - 2*j - 1. Let h be r(z). Solve -h = -v*o + 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -1 - -2) + (-10 - -10) - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -6 - -10*(-15)\/(-33)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (9 - 15)) + 7\/(-1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r**2. Let f(a) = a + 4 + 2*a**2 + 3 - 7. Let p(n) = f(n) + 2*s(n). Find the second derivative of p(g) wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*10*9\/540.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4384836*t**2 - 142392*t - 1156.\nAnswer: -4*(1047*t + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 3*c.\nAnswer: -3*c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1368) + sqrt(1368)*2)\/(sqrt(18)*-4).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1059\/5 (b) -2\/3 (c) -1 (d) -0.2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**4 + 4743*f + 2*f**2 + 0*f**3 + 6*f**2 - 10*f**3 - 4762*f - 2*f**2 to the form j*f**3 + v*f**2 + c*f**4 + x*f + w and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from bbczzvbvvcvzczcccb?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from wwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36751866.\nAnswer: 2, 3, 1559, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4636, 9090, 13566, 18076, 22632, 27246, 31930?\nAnswer: 36696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (5 + -8 + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355418944 to the power of 1\/2, to the nearest integer?\nAnswer: 18853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30019061 or 3?\nAnswer: -30019061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*sqrt(88))\/sqrt(8))**2 + sqrt(704) + (sqrt(704) + -1)**2 + 1.\nAnswer: -8*sqrt(11) + 714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/6)\/((-2)\/(-21)). Let o = 6 - y. Are 1\/4 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2849, 11421, 25707, 45707, 71421, 102849, 139991?\n\"Answer: 2857*k**2 + k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2736)*2 + sqrt(2736)) + -5 + (sqrt(19) + 0 + sqrt(19) - sqrt(19))**2 + -5.\nAnswer: -144*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18616)\/(-1872) + 1\/18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/33)*b\/(b*b**(-4\/3)))**(3\/11))**(-39) assuming b is positive.\nAnswer: b**(-3081\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*(-1)\/2*8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(0 + 0 - 3)*(2 - 2 + w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 408\/16 + (-13)\/(-26). Calculate the highest common divisor of 533 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -3731a73?\nAnswer: -3731a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19\/2? (a) 78 (b) -0.08 (c) 4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7838?\nAnswer: 2, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 1278*p - 12 - 6 + 19 to the form l + d*p and give d.\nAnswer: -1278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 15850 to the nearest 100.\nAnswer: 15900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5))**(-24)\/(x**1*x\/(x*x\/(x\/x**5)*x)) assuming x is positive.\nAnswer: x**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288839761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 18*r - 7. Let v be (0 + 1)*(-7)\/(42\/(-102)). Let o be u(v). Solve -5*n + o*n = -20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4671.055351 + -4643.0554. Let w = -28.033 + 0.033. Let y = p + w. Round y to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1506*j - 13550. Calculate w(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108713, 217437, 326171, 434921, 543693?\nAnswer: 652493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93 - -138. Let n(i) = -106 + 53 + r - i. Let q be n(-8). Solve -8*b + 5*b + 9 = q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71066 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0 (c) -6907\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20, 21, 70, 179, 360, 625, 986?\n\"Answer: 2*v**3 + 12*v**2 - 49*v + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 217*o - 11713. Let x be w(54). Sort -61, x, 43 in ascending order.\nAnswer: -61, x, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(385))\/sqrt(7))\/(sqrt(66)\/sqrt(24) - sqrt(11)))**2 - (-5 + 1 + sqrt(80) + 3)**2) + 4.\nAnswer: 3 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**5 + 68*a**4 - 17516*a**3 + 290220*a**2 + 2381400*a = 0.\nAnswer: -81, -6, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/63326466 and -31\/45233190?\nAnswer: 316632330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + (-1222)\/517.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 3\/4*h**4 - 3*h + 3\/2*h**2 - 6 - 4*h**3. Find the second derivative of l(a) wrt a.\nAnswer: 18*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:50 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17023 is divided by 7877.\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 8:20 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + -43. Which is smaller: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 12:09 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94 - -95.85. What is i rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 8) to base 6.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -593105 (base 11) to base 5.\nAnswer: -220104033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98831 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/122564 and -87\/32.\nAnswer: 980512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3280880905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2) - 187\/(-22). Let d = -7 + c. What is p in 1\/2*p**4 + 1\/2*p**2 + 0 + d*p - p**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6893 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 8*f - 60 = 3*f - 7*f, -5*w = f + 19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*j - 6 = 0, -2*i + 1 = 3*j - 6. Let f be ((-8)\/(-16))\/(i\/720). Suppose -2*o + o = -f. What is the highest common factor of o and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4186369, -4186366, -4186361, -4186354, -4186345?\nAnswer: -4186334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 55, 115, 175, 235, 295?\n\"Answer: 60*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2192.895um to nanometers.\nAnswer: 2192895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**3 - 2782*a + 2631*a + 3*a**3 to the form t + v*a + x*a**3 + z*a**2 and give v.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2623 and 1769.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(n\/(n\/n**(-2\/7))))**31 assuming n is positive.\nAnswer: n**(713\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -537 + 6 + -7 + 3. Let m = a + 584. What is the remainder when m is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 bigger than -9092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 - 3*m - 3. Let p(j) = -7*j + j**3 + j**2 + 1 + 4*j + 4*j. Let o be 40\/(-56) + 4\/(-14). What is o*g(q) - 3*p(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k + 18. Give g(11).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 21222101112120022?\nAnswer: -21222101112120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 464994097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 815, 817, 819, 821?\n\"Answer: 2*i + 813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38512, -5, 2, 3, -3, 5 in descending order.\nAnswer: 5, 3, 2, -3, -5, -38512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 13 = 2*t. Let i be (-5)\/1*(t - 1386). Suppose -21*x = -16*x - i. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*d - 16 = 0, 4*d - 14 = -2*j - 2. Let a be (j\/(-2)*6)\/((-9)\/4320). What is a rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14458282?\nAnswer: 2, 7229141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 4 - (1 - -1). Suppose 0 = 3*g + l*s - s - 1, g + 5*s + 7 = 0. Suppose -2*b = -g*v - 81, 0*b = -b - 2*v + 23. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, z: 6}. What is prob of picking 4 b?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -11. Solve 2*z = -w*z - 10, 2*z + 12 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43302 (base 7) to base 16.\nAnswer: 2a1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5407 is divided by 2265?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.255 - 0.52?\nAnswer: -0.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12672587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*a**3 + 165*a**3 + 319*a**3 + 324*a**3 - 1240*a**3.\nAnswer: -186*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 12*r - 5 - 1, -4*r = -3*h - 23. What is the biggest value in h, -69, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -30\/11 (b) 2\/5 (c) 24\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.7, 1, -4, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**5\/9 - 875*d**4\/9 - 78025*d**3\/9 - 430225*d**2\/9 + 169708*d\/3 = 0.\nAnswer: -76, -7, 0, 1, 957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 841950, 1683891, 2525832, 3367773, 4209714, 5051655?\n\"Answer: 841941*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 5*x + 66. Let m be h(-11). Solve 7*q + 21 + 7 = m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from oykkkoyykoykyyo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Expand (2*x**2 + 4*x**2 - 4*x**2 + 3)*((-x + x + 2*x)*(0 + 2 - 1) + (-x + 4*x + 4*x)*(0 + 2 - 1)).\nAnswer: 18*x**3 + 27*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 88827076 divided by -338\nAnswer: -262802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**3*q - 23310*g**3*w**3 + g**2*w + g**2 + g*q*w**3 - 39*g*w**2 + 3*g*w - 2370349*q**2*w**2 wrt q?\nAnswer: g**3 + g*w**3 - 4740698*q*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + -2a?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r. Let u(m) = m**3 + m + 9. Determine u(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 657, -2\/19, -0.4, 3, -0.09?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 268 = -43*u. Solve -3*k = -l + u*l + 27, -k + 5*l = -15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + x - 1. Let s be c(4). Let b be (-10)\/s - (-16)\/7. Let u(f) = -2*f**3 - f. Let m be u(-1). Solve -y + 2 = n, n + m*n = -y + b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = 2. Let t(n) = -11*n**3 + 3*n**2 + 9*n + 7. Let r(d) = -6*d**3 + 2*d**2 + 5*d + 4. Let w(o) = k*t(o) + 7*r(o). Give w(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 28 = -6*l + 4, -4*p - l - 81 = 0. Put 4, -25, p in increasing order.\nAnswer: -25, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -9, -6, -3, 0, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/11)*u*u\/(u**(5\/4)\/u))\/(u**(-1))**(-39) assuming u is positive.\nAnswer: u**(-1631\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -89*v**2. Let z(i) be the third derivative of 5*i**4\/8 - 9*i**2 + 4*i + 16. What is r(z(j))?\nAnswer: -20025*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -26*l**4 + 9*l**3 - 17*l - 6. Let n(c) = 53*c**4 - 20*c**3 + 34*c + 13. Let x(g) = -6*n(g) - 13*t(g). What is the second derivative of x(a) wrt a?\nAnswer: 240*a**2 + 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.6 - -10. Let r = o + 5.6. What is the closest to 1 in -0.2, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (1 - 3) - (1027\/91 + -15). Which is the closest to 0? (a) -19 (b) -3\/7 (c) m (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**4 + 14*c - 19. What is the derivative of h(v) wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 10*l + 6. Let c(s) = -s**2 + 8*s - 3. Suppose 0 = -6*z - 8*z + 28. Let r be c(z). Calculate u(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 84 = 81 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3197.74 - -3.\nAnswer: 3200.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -780 (base 10) to base 16\nAnswer: -30c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 - -313?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 + 49. Suppose 7*s + b - 23 = 0. What is the smallest common multiple of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*h + h + 12, -2*f + 2*h + 16 = 0. Suppose 164 = -d - 2*c - 0*c, f*c = 3*d + 482. Let j = -40 - d. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 8:52 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, a: 9}. What is prob of picking 2 k and 2 a?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*b + 136*b + 7743 = 0 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from ukkkpvuuwvpr?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -37. Let p = -8 + 8. Suppose p = -23*b + 26*b. Solve -4*w - 2*n = y, b + 5 = -w - 2*n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Collect the terms in -8*y**3 - 2*y**3 + 2*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*l + 5, -3*l + 36 = 4*j - l. Calculate the remainder when 1 + 20 - 0\/1 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -32 - 64. What is the least common multiple of b and 110?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-3\/16)\/v*v\/(v*v\/v**(1\/4)) assuming v is positive.\nAnswer: v**(-15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/5 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -31. Let r = 0.3 + -0.5. Let o = r + -0.2. What is the closest to 2\/3 in 1, o, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2 + 18*u - 9. What is t(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -5*n - 5*w + 7, 0 = -4*n - 4*w + 32. Solve 79*h = -a + 80*h + 1, -19 = n*a + 3*h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/6)\/((570\/(-30))\/(-57)))\/25\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -36*g - 607. Let o be q(-17). Solve -z - 3 = 0, o*j - 17 = 3*z + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99 - -100.62. Let d = -2.73 + n. What is d rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.169 times -6\nAnswer: -1.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 485*k**3\/3 - 945*k**2 + 11*k + 64. Find the first derivative of y(m) wrt m.\nAnswer: 970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 2*x**3\/3 - 536. Let j(m) = -475*m**2. Determine j(a(b)).\nAnswer: -1900*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 4*h + 3 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -478 - -474. Sort 6, 9, 0, w in ascending order.\nAnswer: w, 0, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u**2 - 4*u - 451. Let x(k) = 9*k**2 + 3*k + 446. Calculate -3*c(l) - 4*x(l).\nAnswer: -3*l**2 - 431","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 3 - 42*d + 161*d - 75*d.\nAnswer: 48*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12306 - 2719. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 19486507659.\nAnswer: 19486507659.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.052028, -7 in descending order.\nAnswer: 4, -0.052028, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/11))**(-5)*(k\/(k**28*k*k))\/((k*k**(11\/5))\/k) assuming k is positive.\nAnswer: k**(-1691\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 904034025?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 45 = 2*u, 4*u + 182*y - 191*y + 135 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 - 36717*z\/2 - 18359.\nAnswer: (z - 36718)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*g**3*p*y - 33*g**3*p + 1030*g**3*y + 3*g**2*p*y - g**2*p + 13*g**2*y + 2*g*p*y - 425*y wrt g.\nAnswer: 66*p*y - 198*p + 6180*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 258 and 874338.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owbrbcbocwbwwctbwwr. What is prob of sequence ctwb?\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by -5.\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 20 = -v. Suppose -v*r = 4*t - 11, -2*t + 5 = -7*t. Suppose r*q = -q + 1160. What is q rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 174*g - 3552.\nAnswer: 3*(g - 74)*(g + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4\/3 - 9*s**3 - 25*s**2\/3 + 9*s + 26\/3 = 0. Calculate s.\nAnswer: -26, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 1, v: 1, b: 1}. What is prob of picking 1 l and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/(-14)*(-1 - 0). Suppose -4*x - 485 = -r*w, 2*x = -4*w - w + 765. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 - 5 + 12*b)*(-2 + 29 + 13) + 2*b + 2*b - 5*b to i*b + j and give i.\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-6)*(-672)\/2240?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 + 7*v. Let x = 94 - 80. Suppose j + 29 = 5*y, 0 = 2*j - j - 2*y + x. Let f be i(j). Solve 0 = f*g + 5*r, 2*r - 7 = -3*g - 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 471 divide 1518418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcx when three letters picked without replacement from {q: 7, c: 3, x: 6, p: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3986 + 35878\/9. Sort -0.5, 10, w in ascending order.\nAnswer: -0.5, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -528 in descending order.\nAnswer: 4, -1, -528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -421449\/13 - -32417. What is the common denominator of (-2)\/(-8) + 94\/72 and c?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1026\/90)\/((-1)\/(-15)). Suppose 11*m - 3 = 10*m. Suppose -m*l + 501 = f. What is the highest common factor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, v: 5, e: 8}. What is prob of picking 2 i?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-34)))\/f*f)\/f)\/f**(-35)*f**(-3\/7)*f**24 assuming f is positive.\nAnswer: f**(641\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 606 - 27*i**2 - 14*i - 606 in the form v + s*i**2 + q*i and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4129, -4119, -4105, -4087?\n\"Answer: 2*r**2 + 4*r - 4135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g + 5*g - 2*g)*(5*g - 5*g - g)*(80 + 9*g**2 - 80).\nAnswer: -99*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3670 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 36884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 62, 99, 1 in decreasing order.\nAnswer: 99, 62, 5, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 13*y. Let j be q(8). Let a be (-1*2 - -1) + 4. Let u be a\/6 - (-31)\/2. What is the greatest common divisor of j and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/596 and -6 + 1044\/80 + -3?\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 20355*g**2 + 54*g - 96. Let u be y(4). What is u rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064937000 rounded to the nearest 1000000?\nAnswer: 2065000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/356174 and -115\/111202.\nAnswer: 217622314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from {k: 1, j: 2, r: 1, p: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 28. What is the common denominator of ((-6)\/(-18))\/(-4*n\/255) and 71\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 38 - 8 = -5*x, -d + 3*x + 8 = 0. What is the highest common factor of d and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 311*i**2 + 12405*i + 267. What is x(47)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -3*s + 10. Let k be s\/3 - 616\/(-24). Suppose k = b - 36. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55d60 (base 14) to base 10\nAnswer: -208432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 28*z - 24*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7) - 87\/6*(-1820)\/1274.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Let r be -5 + 6\/t + 1. Let z = r - -3. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 191*s + 3110. Determine t(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14)*-1 + 0. Let r = -2.9 - 1.1. What is the closest to x in 1\/5, r, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 15, b: 5}. What is prob of picking 2 d and 1 b?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20209\/(-2)*15\/630*24. Round s to the nearest 100.\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 2. What is the lowest common multiple of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -18 and -2793\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-28) + 9\/4. Let r(w) = -w**2 + 0*w**u - 1 + 2*w**2. Calculate r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395226 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.165 + 0.096. Is n > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016 a factor of 1562923976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 466623 and 7465971\/16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/5))\/((y*y\/y**(-11))\/y)*(y**(-2\/7)*y)\/((y*y**(2\/11))\/y))**(-40) assuming y is positive.\nAnswer: y**(31624\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 560 and -3.85845.\nAnswer: 556.14155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*((sqrt(76) - (-1 + sqrt(76))) + sqrt(76)) - sqrt(228)\/(sqrt(12) + sqrt(48)\/(sqrt(4) - (sqrt(36) + sqrt(4))) + sqrt(12))) + 1.\nAnswer: -13*sqrt(19)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/24*(-1)\/2*(-4)\/(-42)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2. Let a(j) = -466*j. Calculate s(a(r)).\nAnswer: -434312*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-158)\/(-3) + (-4)\/6. Let n = d - 11. Suppose m - 5*z - 67 = -2*m, -85 = -5*m + 3*z. Calculate the remainder when n is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*q + 29 = -219 - 304 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**4*w**(2\/17))**5*(w\/w**(-2\/13))\/w**(3\/4)*w**(5\/4)*w\/(w**(2\/5)*w) assuming w is positive.\nAnswer: w**(59321\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 24, 3, 0.1, -0.3 in ascending order.\nAnswer: -0.3, 0.1, 3, 24, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/56 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -12*w - 19. Determine q(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -24. Let w = 0.2387 - 0.3387. Which is the closest to f? (a) -0.4 (b) -0.03 (c) w (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**4 + 145*u**3 + 330*u**2 - 580*u - 1240 = 0.\nAnswer: -2, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**2 + 37*g - 312. Let t(s) = -3*s**2. Calculate n(t(f)).\nAnswer: -36*f**4 - 111*f**2 - 312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from {a: 1, c: 2, r: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 406623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18650900 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 1108\/37?\nAnswer: 1108\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/2497 (b) -0.6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19, 10457 in ascending order.\nAnswer: -5, 19, 10457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ec - -c9?\nAnswer: 1c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/3)\/((-2)\/12). Let n = -2 - v. What is the remainder when (3\/(-5))\/(8\/(-40)) is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -14*t. Suppose 26*x - 219 = -141. Let q(a) be the third derivative of 0 + 17*a**2 + 0*a + 1\/12*a**4 + 0*a**x. Give k(q(h)).\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 844222909 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/(1\/(-156)). Let k = v + -72. What is the highest common factor of 27 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13) + 0)*-5) + sqrt(13) - ((sqrt(130)*-5)\/sqrt(10) + sqrt(13)))**2.\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.9 - 0.9. What is the closest to b in -5, 0.2, 2, -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 + -230 + -15 + -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14297.119 and -138.787.\nAnswer: -14435.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*u = -4*u - 254, 2*k - 124 = -u. Suppose 0 = w - 103 + k. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2252*s = -3533*s - 90951 for s.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5205\/19 + -274. Let z = 1.9 + -2. Which is greater: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -3*s - 18. Let v = -11 - s. Suppose -4 = -v*t + 4. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/36369 and -97\/193968.\nAnswer: 581904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54? (a) -2\/25 (b) 1\/3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 1\/3*r**3 - 17*r + 0*r**4 + 0*r**5 + 5\/3*r**6 + 3 - 9\/2*r**2. What is the second derivative of n(h) wrt h?\nAnswer: 600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o**2. Suppose -3*b = -11 + 5. Let u(g) = 56*g - 56*g + g**b. Calculate u(h(v)).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + -6 - (0 - 0). Suppose -5*n + i + 24 = -5*o, 11 = 5*n + 2*o. Suppose -7 = -n*z + 2*w, 3 = -2*w + 5. Solve -z*j - 6 = 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2800 and 6784050?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/459356 and -37\/838824.\nAnswer: 19292952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 369 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 5:13 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 5) + (2 - -421). Suppose 2*b - o = -l, l = b + 260 + 150. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1\/3 (c) -1 (d) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -3\/208, 2\/11 in increasing order.\nAnswer: -6, -3\/208, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 + 0)*(4 - 2 + 0)*(-10 - 15 + 8)*(-2 + 2*t + 2).\nAnswer: -476*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5 = 5*x, 4*w - 38 - 42 = -5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 5) to base 2\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 317, 722, 1213, 1790, 2453, 3202?\n\"Answer: 43*o**2 + 276*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -78, -0.2, -1, -111, 20?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -5.2.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1213025525 to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2887180663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 5:21 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2483479*c**3*j + 2*c**2*j + 24*c*j + 21*c - 505 wrt c.\nAnswer: -14900874*c*j + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 3:13 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 160, 237, 314?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4afe (base 16) to base 3\nAnswer: 222100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 218506 * -2.7.\nAnswer: -589966.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by 27\nAnswer: 119\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1717406, 6869592, 15456568, 27478334, 42934890?\nAnswer: 61826236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 8:02 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3713 - -3847. Solve 9*s - 152 + z = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(192) + sqrt(3) + sqrt(3) + sqrt(12)\/sqrt(4) + 0 - (sqrt(243)*-1*4 - (sqrt(243) + (-2 + sqrt(243) + -2)**2)).\nAnswer: -48*sqrt(3) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169760 is divided by 3086.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 501*t**4\/4 + 248*t**3\/3 + 3*t - 395. What is the third derivative of b(i) wrt i?\nAnswer: 3006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 456208 and 752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/48 and -89\/564654.\nAnswer: 4517232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**3 + 3*m**3 + 5*m**3 - 21*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 20072.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 - 3*f**2\/2 - 49*f\/2 + 147\/2.\nAnswer: (f - 7)*(f - 3)*(f + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2428, 2436, 2450, 2470?\n\"Answer: 3*r**2 - r + 2426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 1. Let z be t(-3). Let g(f) = -21*f - 1. Calculate the remainder when g(-1) is divided by (z\/(-2))\/((-2)\/11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, g: 4, z: 2, j: 8}. What is prob of sequence gg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 - 607 = 4*h. Let d = h - -91. Which is smaller: d or -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 229619219 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 367058 divided by -310.\nAnswer: -183529\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 112\/18 + 8\/(-36). Suppose 9 = -3*t + u. Let y be (-4)\/(-1) + (9 - t). Let r(h) = 5*h**2 - 3. Let w(c) = -11*c**2 + 7. Give y*r(g) + 6*w(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*g + 2*c, g + 9 = 2*g - 4*c. Let b be (-3)\/(-10) + (g - (-176)\/55). What is the fourth biggest value in 0, -5, b, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4920896530370 take away -6?\nAnswer: -4920896530364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 219\/2 + 1\/2. Let f be -2 + 3 + 0 + g. Suppose l - 6*l + f = -a, 0 = l - 4*a - 26. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f + 161. Let g be q(-15). Suppose g*l - 66 = 8*l. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -144*b - 147*b + 421*b - 145*b. Let y(i) = -8*i. What is y(x(c))?\nAnswer: 120*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*k + 198 = -3646. Calculate the remainder when k is divided by 24\/(-9)*15\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 19095.42 millennia?\nAnswer: 190954.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(0 + 1 + (6 - 6)). Solve c + 3*l + 0 = 12, 2*c = -5*l + g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, 1, -23, -192 in ascending order.\nAnswer: -192, -23, -16, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 7*l**2 + 7*l - 1. Is s(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27203788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6) - (-4)\/12. Suppose -b + 2*b - 17 = a. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from {e: 8, w: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 12*x**2 + 28*x**2 - 17*x**2 - 53.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.06161?\nAnswer: -0.30805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -468 - -521. Suppose -o + 4*x = x - 13, 5*o - 3*x = q. What is the remainder when 237 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1926\/(-102) - ((-906)\/(-102) + -9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -328 + 280 - 12*f + 0*f**2 - 6*f + 3*f**2 = 0.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 13*q = 15*q + 9, g - 3 = 3*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*((sqrt(1216) - (sqrt(1216) + (sqrt(1216) + (sqrt(1216) + -5 - sqrt(1216)) + sqrt(1216))*-6)) + -3 + sqrt(1216) + -4*sqrt(1216)))**2*5 + 1.\nAnswer: -13685760*sqrt(19) + 286804801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 j when three letters picked without replacement from {j: 3, c: 1, m: 6, r: 2, u: 1}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -917560.535 rounded to the nearest 100?\nAnswer: -917600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -298, 1, 4.\nAnswer: -298, -3, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 344 and 74390.\nAnswer: 297560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) -5 (c) -1.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12681732300 rounded to the nearest one million?\nAnswer: -12682000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58, 131, 206, 283?\n\"Answer: k**2 + 70*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1495 divide 293737600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1467 + -1445. What is the remainder when 6\/(-9) + (-752)\/(-12) is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.986 + 13. Let p = 0.1345 + -0.1695. Let y = d - p. What is y rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)\/sqrt(7))**2 + sqrt(19))*-1 + -5.\nAnswer: -24 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*h**3 + 1048*h**2 - 4386*h - 760.\nAnswer: 2*(h - 4)*(2*h + 95)*(6*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -3. Let q be d\/(-2)*(-2 - 2). Put q, -0.4, 0 in descending order.\nAnswer: 0, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 5.9. Let n = 8 + -8. Let t = 1 + n. What is the nearest to t in h, -2, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, d: 4, k: 5}. What is prob of sequence kkkd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 412, 1142, 2180, 3526, 5180, 7142, 9412?\n\"Answer: 154*n**2 + 268*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/6)\/(q\/(q*q**(-1\/4))*q)*(q*q\/(q\/q**(1\/4)))\/q**(-6) assuming q is positive.\nAnswer: q**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -193.8, -0.1502 in decreasing order.\nAnswer: -0.1502, -5, -193.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -247\/49568 or 1?\nAnswer: -247\/49568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 + -6738?\nAnswer: -6713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2210 (base 3) to base 9\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/477, -95\/6, -0.177?\nAnswer: -1\/477","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 0.4, 8, -28.264?\nAnswer: -28.264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 146*b - 479. Give k(8).\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - (-5 + (-1651239)\/18))\/(3\/20). What is v rounded to the nearest 1000?\nAnswer: 612000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from qyeeyw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1617*r**2 - 6459*r**2 + 1613*r**2 + 1614*r**2 + 1618*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4466876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 290101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -368.639103 to one decimal place.\nAnswer: -368.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 19*r - 63. Give p(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-13))\/((-2)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 59 = -5*b, 3*b + r - 4*r = 27. What is the highest common divisor of 979 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -10.5638 (b) -4 (c) 3 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/20 and ((-2)\/20)\/((-6)\/(-365))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 201a1a1 + 1?\nAnswer: 201a1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = -10*d + 20*d + 328. Calculate the remainder when 94 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*q - 8. Let w be -1 + q - 105\/(-35). Let i(x) = -10 - 2*x**2 + 10 + x. Determine i(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**3\/3 + 3*p**2\/2 + 3*p - 12. Let l = -6 - -3. Let m(c) = c + 1. Calculate l*m(g) + a(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 4:19 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l = -116*l - 76*l - 4510 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9*i + 54. Let l be h(-7). Let j(n) = 11*n**2 + 61*n + 3. List the prime factors of j(l).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 3. Let x(y) = -124*y - 877. Let n be x(-7). Sort n, 5, 2, d in decreasing order.\nAnswer: 5, 2, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*5*160\/50. Let h be 2\/(-3)*(-19 + i). Suppose 4*x - h*x + l = 0, 3*x - 5 = l. Solve 3*z = -2*t - x, z - 5 = 5*t + 6*z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1122 from 0.13.\nAnswer: 1122.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-10) - ((-2433)\/15 + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 - 34*w - 15. Calculate a(-18).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 525 divide 111825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1974 and 2891252?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -26*s**2 - 2*s - 203 + 198 + 40*s**2 + 7*s. Let d = 3 + -1. Is 19 a factor of i(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2495587 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/3))**(-7)*(h*h**(-2\/3)*h)**(-1\/42))\/(((h\/(h*h**(5\/3)))\/h)\/h*h**9)**(-7\/2) assuming h is positive.\nAnswer: h**(586\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 - 5*l**2 + 15*l + 33. Let w be m(-2). Let t be (-2)\/1 - -2 - -1314. Suppose -w*u + u = -t. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107396057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -261.4 - -262. Sort -0.2, 4\/7, -0.1, j in descending order.\nAnswer: j, 4\/7, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20\/7 - 53\/21. Suppose 0 = -4*b + 2 + 6. What is the nearest to -1 in -0.2, b, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 4. Let f(d) = 122*d + 2 + 8 - 123*d. What is the remainder when 37 is divided by f(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 36 = 4*m - 444, 0 = 2*m - 6. Let v be (-31)\/l - (-5)\/(-45). Which is the nearest to -2\/3? (a) 0 (b) v (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 9*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + 22\/12. Let j = -1364027\/5 - -272805. Which is the closest to j? (a) o (b) -6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -0.5 (b) -1\/3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63.9 + -63.6. Which is the biggest value? (a) t (b) 1\/2 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-198)\/605)\/(-9))\/(3\/(-15))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -953, 512, 0 in decreasing order.\nAnswer: 512, 0, -953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -2*(-1*4*sqrt(98) - (-1*sqrt(98) + 3)))*4)**2.\nAnswer: 8064*sqrt(2) + 57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.045 smaller than -263\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 864 or -3\/5?\nAnswer: 864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22054478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 + 3*t**2. Let r = -7 - 15. Let u(c) be the second derivative of 7*c**5\/20 + 11*c**4\/12 - 3*c. Calculate r*z(h) + 6*u(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d - 5. What is the units digit of m(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n - 20. Let b be o(5). Put b, 2, 1 in descending order.\nAnswer: b, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392836721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.6 + -32. Let h = 4 + o. Which is greater: -6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1028*g + 380321. Give p(370).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/1*(5 + 2 + -6). Solve 0*r - u = -2*m - 3*r, 0 = 5*m + 4*r - 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t + 5*s = -15, -2*t + 6 = s. Suppose 5*v = 3*k + 37, v + 7 = 2*v - k. Suppose 0 = -z - t + v. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 + 2*a**2 + 3*a**2 + (-2*a**2 + 7*a**2 + 2*a**2)*(0 - 5 + 2) to the form w + y*a + r*a**2 and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 813*v**5 - 74790*v**4 + 688059*v**3 - 1809534*v**2 + 1186596*v + 8856 = 0 for v.\nAnswer: -2\/271, 1, 3, 6, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*f + l - 2447966, l + 1835971 = 3*f. Suppose -6400950 = 3*o - 17236923. Let w = o - f. Round w to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**3 - 3*a**2 - 3*a - 2. Let n(f) = 11*f**3 + 8*f**2 + 8*f + 6. Let r(k) = 8*i(k) + 3*n(k). What is r(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -577 - 33*p**2 - 4129 - 1290 + 198.\nAnswer: -33*p**2 - 5798","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 4. Let n be u(-6). Suppose -3*q + 4*i = -32, -n*q - i + 2*i + 18 = 0. Calculate the least common multiple of q and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 42*k. Let j(p) = -4*p**2. Determine l(j(g)).\nAnswer: -168*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/29593973 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386732181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/1*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 - 75*i**2 + 2*i**4 + 7*i**4 + 8*i**3 - 32*i + 59*i**2.\nAnswer: 4*i*(i - 2)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 67348 = 4*g - 5*y, 4*g - 5*y = 89809. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2 + 1. Let c be -1 - (-2 + 3\/k). Let z(r) = -c - r - r**2 + 0*r**2 - 4*r + 4*r. Calculate z(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 5*x - 13, -f - 13 - 1 = -4*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 221973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**6\/720 + 7*v**5\/60 - v**4\/12 + 55*v**3\/3 + 50*v**2. Let q(a) be the second derivative of k(a). Calculate q(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2011022 + 21032?\nAnswer: -1323330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = 4*x. Let z(v) = v**3 + 3*v**2 - 2*v + 3. What is the units digit of z(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -77*u**3 - 18*u**3 + 24*u**3 + 5*u**2. Let q(d) = -36*d**3 + 3*d**2. Give 3*j(b) - 5*q(b).\nAnswer: -33*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y**2 + 7*y + 7. Let g(n) = -28*n + 5*n**2 + 15*n + 8*n + 7*n + 6 + 5*n. Give 6*c(p) - 7*g(p).\nAnswer: p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/13014 and 113\/13014.\nAnswer: 13014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1683*h + 2 - 13 - 1602*h - 2*h + 0*h + h + (6 + 0 - 4)*(-2*h - h + 2*h).\nAnswer: 78*h - 11","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 3:43 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 103*m + 27. Calculate y(-2).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 92\/(-28) - (-3)\/1. Which is the nearest to 0.1? (a) -4 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntnatnnnnatt. Give prob of picking 1 a, 1 n, and 1 t.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 172801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 62, 65, 46, -1?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3211? (a) 1\/4 (b) 3 (c) -0.01 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 13 = -2*f, -4*f + k = -4*k + 9. Let q be 50\/15 + (-2)\/(-3). Suppose -f*v + 2 = -2, 46 = q*r + 2*v. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634399349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 242. Suppose 7*p - 2*a = 3*p + 158, -3*p = -2*a - f. Suppose 3*h - z = 45, -2*h + 7*z + p = 4*z. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*a - 15*a - 9. Suppose 11 = b + 5*c, 2*c + 0*c = b + a. Solve -9 + b = 4*q, -q = -5*d + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k - 31. Let v be z(6). Suppose -v*l = 5*l - 50. Suppose -4 = -5*r + p, -r - l*p + 8 - 2 = 0. Solve r + 4 = -5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6 = s + f, -2*s = -f - 6. What is the tens digit of 2*s\/4*42?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 11*w + 16. Let d(x) = -1. Let s(b) = 6*d(b) + g(b). What is the units digit of s(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4171 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 505845.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (217\/(-1085))\/((3\/(-492))\/(3\/((-72)\/30)))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(58 - 3*l**4 - l**5 - 58 + 2*l**3).\nAnswer: -l**5 - 3*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5*a + 185, a + 0*a = -3*s - 107. Let v be s\/(-24)*(-8)\/(-3). What is the third derivative of -106*l**4 - l**2 + 117*l**v + 7*l**2 wrt l?\nAnswer: 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -20908917?\nAnswer: -4181783.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tffffffffftftff. Give prob of picking 3 f.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*n - 265, 0 = 3*k + 4*n + 101 + 69. Let x = 249\/5 + k. Which is the nearest to 1\/3? (a) -2\/15 (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 152176\/14 + (-253)\/(-77) + -3. Suppose -17585 = -15*u + q. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1728) + (sqrt(1728) - (1 + (sqrt(1728) - ((sqrt(1728) - (-1 + sqrt(1728))) + sqrt(1728))))) + (sqrt(1728) - sqrt(1728)*-2*5))**2*-3*6*-5.\nAnswer: 52565760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 510.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37302*m**3*z - 29568*m**3 wrt z?\nAnswer: -37302*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 479*l**2 - 1. Is n(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -632, -628, -622, -614?\n\"Answer: g**2 + g - 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 954047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11307\/(-21) - (-8)\/(-14). Let j be i\/(-4) - (-2)\/8. Suppose 0 = 3*f - 843 + 573. What is the highest common factor of j and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**11\/27720 - m**7\/1260 + m**4\/4 + 3*m. Let i(t) be the third derivative of w(t). Find the third derivative of i(r) wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -556\/1897 + 2\/271. Let v = 9.7 + -10. Let k = 3.7 - v. What is the third smallest value in i, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 6*c**2 - 3*c**2 + (3 - c - 3)*(-3 + 3 + 2*c) - 2*c - 2*c - 2*c**2 + 3*c)*(-4 + 3 - 4).\nAnswer: 15*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 32 = -3*k + 2*r, -4*r = 2*k + 16. Let y be 0\/(k - (-16)\/4). Let x be -4*1 + y + 7. Solve -f + 0*o + 18 = -5*o, -x*o = -3*f + 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -912434397 + 912492949.10084. Let a = 58551 - f. Let c = -1.1 - a. What is c rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 69*i + 825. Calculate d(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 - 65 = -7*v. Let c = 77 - v. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6602013 (base 7) to base 6\nAnswer: -25150040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 16) in base 14?\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 + -130. Suppose -y = w + d*w - 75, -y - 2*w = -75. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -152 + 162. What is the remainder when ((-1420)\/l)\/(1*-1) is divided by 53?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*b - 137*b - 117 = 0. Sort -0.06, 0, b, -4 in decreasing order.\nAnswer: 0, -0.06, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164000 is divided by 954.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/48)\/(663\/(-109616))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3223*w**3 - 1514*w**2 wrt w.\nAnswer: -19338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -65)*(-8 + (-1722)\/(-189))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.4 - -6. Let j = -0.26 - 16.94. Let i = j + 17. Which is the closest to i? (a) -4 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**5\/6 + u**4\/24 - u**3\/6 - 5*u**2. Calculate the remainder when 18 is divided by f(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 0)*((-3714)\/(-108)*9 - -5). Calculate the greatest common divisor of 119 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/80*7\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 b when three letters picked without replacement from {t: 1, b: 4, c: 2, v: 4, f: 2, a: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11367366593.7 + 2.\nAnswer: -11367366591.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x - 5. Let r(p) = 6*p - 1. Let i be r(-1). Let v = -2 - i. Suppose -v*h = w + 23, -4*h + w + 3*w = 4. Give d(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjzj when four letters picked without replacement from {j: 4, z: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7593, -9700, -38523, -78876, -130759?\n\"Answer: -5765*l**2 + 2*l + 13356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -22, -40, -54, -58, -46?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/6 and -53\/2595.\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 41*f + 5. Let i(k) = -962*k. Give i(a(w)).\nAnswer: -39442*w - 4810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1608016?\nAnswer: 2, 100501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 13 - 7 = 0. Suppose 3*q - 16 = -2*q - 3*a, -g*a = -4*q - 2. Solve -q = 2*t - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -7977.18.\nAnswer: -7977.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*h = 50, 5*x + 2*h - 52 - 73 = 0. Let d = x - 11. What is the remainder when 53 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (218\/(-109))\/(22\/(-4))*(-2)\/(-4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1825934*x - 299 = -1825911*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**4\/12 - 171*q**3 - 1117*q**2 - 8*q - 470. Differentiate w(a) wrt a.\nAnswer: -2*a - 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**3 + 19901*n**2 + 3350181*n\/4 + 4846149\/4 = 0.\nAnswer: -81\/2, -3\/2, 19943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 20 - -12 - 15) + -7 + 20 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-48)\/(-3) - 1. Suppose 0*l + w = 5*l. Suppose -3*b - 9 = -l*k, 5*k - 4*b - 43 = -6*b. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34221 is divided by 3358?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3577*u**2 - 3572*u**2 + 83*u + 7155*u**2 in the form a*u**2 + i + m*u and give m.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, -0.06, -0.2, 1 in ascending order.\nAnswer: -0.4, -0.2, -0.06, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 30*x**2 + 78*x + 91. Give n(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188*m**2 - 419*m**2 + 79*m**2 to i*m + s + k*m**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.18378l to millilitres.\nAnswer: 8183.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 98*a**3 + 378*a**2 + 88*a - 192 = 0.\nAnswer: -24\/7, -1, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11021113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77020825?\nAnswer: 5, 7, 103, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/3 - -61 - (-12)\/(-3). What is the greatest common divisor of 56 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*x + 71, -x + 37 = -2*x - 3*a. Let t = x + 53. What is the remainder when t is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4095697 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1. Let p be 60\/2*c\/2. Does 21 divide 112\/20*p\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*x + 64706 - 126 = 622*x - 34273 for x.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927617213?\nAnswer: 83, 11176111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 40 - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1473.904 millimeters?\nAnswer: 1473904000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*57\/36 + (-5)\/(-4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 47409, 94268, 141125, 187980, 234833, 281684?\n\"Answer: -o**2 + 46862*o + 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + i - 4. Let x = -7 - 32. Let m = -27 - x. Suppose -35 = 5*b - 4*j, -3 = 2*b + 3*j - m. Determine y(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1*(-1)\/(-7). Let i = 3 + -1. Let o = i + -1. Which is the closest to o? (a) 0 (b) -1\/6 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (5 - 11 - -13)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455 = 5*c - 5*w, 1079 = -3*c - 5*w + 1296. What is the greatest common divisor of 8 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2552.009ng?\nAnswer: 2.552009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(8\/(-3)))\/((-12285)\/(-468))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13284?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -1)*(-1)\/3. Let s be (h - -3 - 13502)*24\/(-36). What is s rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 29 - 1157*j**3 + 1158*j**3 + 27.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2239*g**2 + 9692*g - 9692*g.\nAnswer: -2239*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*s = -89 - 262 - 249 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcclcfkccp. What is prob of sequence ff?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30.1 + -30. Let t be 0 + 1 + 22\/(-14). Let l = -5 - -8. Which is the closest to 1? (a) d (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.47 + -1.53. Which is the second smallest value? (a) 2\/5 (b) g (c) 0.2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**6\/120 + x**5\/15 - x**4\/4 - 5*x**3\/6 - 8*x**2. Let o be g(-5). Solve -2*c + 8 = -o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2236.8928 and 589.2.\nAnswer: 2826.0928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193165984 by -16.\nAnswer: 12072874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 7*m**4 - 29*m**3\/3 + 4*m**2\/3 + 4*m\/3 = 0.\nAnswer: -2\/7, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 190 - 91. Suppose x - 23 = 4*z. Suppose a - 4*y - 16 = -3*a, -4*y + z = 3*a. Solve -5*j = -2*q - q + 29, a*q + 2*j - 7 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 17 = -3*d, 0 = 351*d - 346*d + 2*p + 27 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 3:03 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 382080 and 52536.\nAnswer: 4202880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -131.25536 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18 + 0.58. Put g, -3, -5, -2 in increasing order.\nAnswer: -5, -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 75. Suppose 3*y = -y - 4, -3*b + c = -4*y. Calculate the greatest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 6*a - 4. Let h(u) = -u**2 - 5*u + 3. Give -4*h(b) - 3*j(b).\nAnswer: -2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2\/2 + 11539697*b\/2 + 17309550 = 0. Calculate b.\nAnswer: -3, 11539700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -7 (b) -18 (c) -2\/7 (d) -0.1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.4 and 2874471373.\nAnswer: 2874471377.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*i + 902 = 170 - 308. Suppose -364 = -5*l - 4*v, -4*v = -2*v + 8. Suppose 0 = -5*h + l + 9. What is the remainder when h is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v - 14*v - 108 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (221328\/(-30) + -1)*-5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -703, -1394, -2071, -2728, -3359, -3958, -4519, -5036?\nAnswer: -5503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 0 + 9\/2*p**2 - 1\/6*p**3 - 2*p. What is the units digit of y(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2\/3 + 140*f\/3 - 686 = 0.\nAnswer: 21, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10.29 in 1\/3, 10.01, -2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 - 3)\/((-13)\/1). Is a at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**13*i*i**(1\/9))\/((i\/(i\/(i*i*i**(-6)\/i)))\/i**(-12)) assuming i is positive.\nAnswer: i**(73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - t + 55 = 0, 5*c = 2*t + t + 55. Let p = c + -6. Solve -p*u + 1 = -w, -2*w = -5*u - 0*u - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -18*q - 15. What is w(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 75749009.\nAnswer: 2\/75749009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k. Let v(z) = 2*z**2 - z**2 - 3*z**2. Calculate v(t(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1067*b = 17401 - 102761 for b.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/14)\/(1\/6). Suppose -s + 2 = -j. Suppose -4*c + 5*t + 4 = -6, -10 = -s*c + 5*t. Solve c = -2*r - r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 525 or 524?\nAnswer: 525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -51*y - 695. What is r(24)?\nAnswer: -1919","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + (sqrt(130)*3 - sqrt(130))\/sqrt(10) + (sqrt(13) + 5 + 5 - sqrt(13)) + 0 + 0.\nAnswer: 2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9)*9*(-2)\/(-24)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3488 + -104617\/30. Suppose 4*z = 3*z + 3*f + 381, f = -2*z + 790. Calculate the common denominator of 2 + (-3)\/(216\/z) and g.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138 - 133. Find the third derivative of -22*n**2 - 2*n**2 - n**5 - 2*n**6 - 13*n**h + 21*n**5 wrt n.\nAnswer: -240*n**3 + 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 4*s + 4. Calculate k(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5, -6*h + 2*h = -3*x - 23. Suppose 0*a - h*d + 49 = a, 4*a - 187 = -5*d. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g - 135 = 0. Let h = g + -25. Solve -5*i + r + h = 0, 4*i - 5*r = 5*i - 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oponnnnnopp. What is prob of sequence pp?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 429 and 923802.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 60*o + 15*o + 25*o - 6*o. Let q(f) = -2*f. What is t(q(u))?\nAnswer: -188*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -44\/21 (b) 73\/6 (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/70 and -17\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -462? (a) 3 (b) 0 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 90 + -1615\nAnswer: -1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 + 123. Let c(i) = 10*i - 77. Let r be c(x). Solve -r*m = 2*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 5:58 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -366, -743, -1166, -1665, -2270?\n\"Answer: -5*v**3 + 7*v**2 - 363*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jaoaaajj. Give prob of sequence jjo.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(12)*4) + 5 + (-5*sqrt(4235))\/sqrt(7).\nAnswer: -219*sqrt(5)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 7.1. Let c = 2 + w. Let d be (-9)\/(-2) - 1*4. What is the second biggest value in -1\/3, c, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9961 and 16681?\nAnswer: 23737063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g. Let t(r) = -r - 33. Let f(d) be the third derivative of d**4\/24 + 16*d**3\/3 - d**2 - 21*d. Let j(i) = 5*f(i) + 6*t(i). Calculate j(w(q)).\nAnswer: -2*q - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 4*j**2 + 3 + (-4 + 1 + 4)*(3*j - 3*j - 2*j**2) - 3*j**2 + j**2 + 4*j**2 + (6*j + 63*j + 19*j)*(3*j - 2*j + 0*j).\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**48\/((p*p**(-4)\/p*p)\/(p\/((p\/(p\/(p\/(p\/(p\/(p*p**(-5))))*p)))\/p))) assuming p is positive.\nAnswer: p**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44315 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.38934 - 130.19838.\nAnswer: -131.58772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -w + 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) -2\/9 (c) 5 (d) 0.5 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzyyzmmyzzzyzyy. What is prob of picking 2 z and 2 m?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 15, -3*o - 4*s = -o + 14. Calculate the highest common divisor of 27 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d + 2. Let l(m) = -m + 12. Let q be l(11). Let s be y(q). Let k(o) = 2*o - 15. Let z be k(15). Calculate the highest common divisor of z and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-63 + 70 + (3 - 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -q + 9. Let x = -14 + q. What is the remainder when 32 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 434*n**4 + 5*n**3 + 179*n. Let y(m) = 651*m**4 + 8*m**3 + 268*m. Let w(q) = 8*u(q) - 5*y(q). Find the second derivative of w(j) wrt j.\nAnswer: 2604*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170255254 to the power of 1\/3, to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 1717360?\nAnswer: 5152080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.6 - 30.81. Let x = q - -2.21. Put 6, -5, x in ascending order.\nAnswer: -5, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*12\/32*-3*(-12)\/(-162).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 15*r**2 - r + 19. Let m be v(15). Suppose y = m*y - 45. Solve y = b + 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2. Suppose 40 = o + 36. Let m(z) = -4 + 2*z**2 - o*z**2 + 4 - 5*z**2 - 4. What is m(d(v))?\nAnswer: -28*v**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279154931?\nAnswer: 11, 1543, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/5 + 48*y\/5 - 51\/5.\nAnswer: 3*(y - 1)*(y + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 t, and 1 k when three letters picked without replacement from sssssvemtkvveeese.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 + 0.6. Let a = t - 0.4. Let x = 18722 - 18722. Sort x, -0.05, a, 0.2.\nAnswer: a, -0.05, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60179373\/340 - -176998. What is the common denominator of -39\/25 and i?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12162416, -12162417, -12162418?\n\"Answer: -w - 12162415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, -0.0226, 0.3, -59, 7\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220001120110210 + -20?\nAnswer: -220001120111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -682275*k**5 + 586000*k - 1.\nAnswer: -13645500*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 2:35 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2. Let j(c) = -200*c**2 + 1200*c. Let k(t) = -t**2 - 6*t. Let l(p) = -j(p) - 200*k(p). What is x(l(g))?\nAnswer: 320000*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -8\/769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-54) + (-16)\/(-9). Let r be 0 - x - (-7 + -1). List the prime factors of (62\/r)\/(10\/30).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 24 = 4*o + 8, 3*o + 5*y = 10. Let r = 0 + 0. Let a(q) = q**2 + q + 10. Let v be a(r). What is the highest common factor of o and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25414 and -5?\nAnswer: 127070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 24 = -3*j. Let z be (-6)\/2 + -2*j\/12. Let d be 128\/40 - (0 + z\/(-10)). Solve d - 18 = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + 4 + -3 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {l: 4, w: 3, m: 4}.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1795.27 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -101*l**3\/6 - l**2 - 2*l. Let g be y(-2). Let z = g + -130. What is the highest common factor of z and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r - 1 + 1)*(2*r**2 - r + r)*(41*r + 44 - 79*r + 36*r) in the form a*r + p*r**2 + o*r**4 + m*r**3 + b and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -43.4. Let z = s - 5. What is the nearest to 1 in 3, 4\/7, z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 5, 4\/7, -0.2, -0.09, -0.047, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.785 rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 55?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46501.\nAnswer: 7, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0896513 litres to millilitres.\nAnswer: 89.6513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512\/(-54)*2\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x**2. Let l(i) be the first derivative of -2*i**3\/3 + 11*i**2 - 623. Calculate g(l(h)).\nAnswer: 44*h**4 - 968*h**3 + 5324*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4 + 2222694*m**3 + 1235083263601*m**2 - 9880772798376*m + 19761616723216 = 0. Calculate m.\nAnswer: -1111351, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264490 and 167030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -92? (a) 0.4 (b) -32997 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + r - 1. Let w(m) = 4*m**2 - m - 1. Let x(d) = -d**2 + 1. Let f(o) = 2*w(o) + 6*x(o). Suppose -91 = -14*y - 47 - 2. Determine y*z(i) + f(i).\nAnswer: 5*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3874, -3872, -3870, -3868, -3866, -3864?\n\"Answer: 2*j - 3876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/7 (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/7 and 53\/12445406?\nAnswer: 87117842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.5 - -12.8?\nAnswer: 30.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36649.269 and -0.02.\nAnswer: -36649.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**5\/20 - d**4\/6 + d**3\/2 - d**2\/2 + 33*d - 7. Let v(k) = -k**3 - 4*k**2 + 5*k - 3. Let z be v(-5). Determine j(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2167 and 6.\nAnswer: 13002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1267\/9 - -4229\/45. Let q = r - -931\/20. Let k = -544\/2367 + 2\/263. Which is the closest to k? (a) q (b) 2\/3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*t - 170, 0 = 2*t + x + 26 - 110. Solve t*b = 39*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41.8 * 5.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 13*o**2 - 6*o + 56. What is q(13)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10584701*d**3*p + 14297*d**3 - 18 wrt p?\nAnswer: -10584701*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-7 + 16) - (-5 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 975498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.5, 3, -3, -2\/13?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24771 a multiple of 359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-20*33))\/(31\/(-465)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*u + 1. Let m = -312 + 312. Suppose -d + 11 = 4*d - 2*x, m = -5*d + 3*x + 9. Put -2, u, d in descending order.\nAnswer: d, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 230*u + 3*u**2 + 17 - 130*u - 191*u. List the prime factors of d(-8).\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 0*t + 11*t)*(-1 + 7 - 3)*(3 - 2 + 0).\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 85265253 to the power of 1\/2, to the nearest integer?\nAnswer: 9234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 + 2 + 104*f**2 - 4*f - 97*f**2 wrt f?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 3*c - 45. Let z = c - -19. Solve v - 4*v - 7 = -a, -8 = z*v - a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o. Let v be b(0). Let g = 2\/45 + 8\/45. Which is bigger: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyx when four letters picked without replacement from yxyyxyyyy.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 7785 + 3*f + 8218 - f**2.\nAnswer: -f**2 + 433","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -13 (b) 1\/4 (c) 0.2 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-373)\/464385)\/(2\/(-30))?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*m - 23 = 0, 32*m = -t + 36*m + 11. Find v, given that -51\/4*v**2 + 15\/2*v**t - 36*v + 9\/4*v**4 + 27 = 0.\nAnswer: -3, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1008*y + 13860 = 1134*y. Sort -21, -2, y in ascending order.\nAnswer: -21, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 290?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) 2553 (b) 0 (c) -2\/67 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9*1*(-3 - -2). Differentiate b*q**3 - 4*q**3 + 4 - 6 wrt q.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 5*a - 1. Let k be b(7). Suppose -17 = -3*m + k. Let c be -4*3\/((-12)\/25). Calculate the highest common divisor of c and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**7\/840 + m**6\/144 - m**5\/40 + m**4\/4 - 2*m. Let k(y) be the third derivative of d(y). Is k(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4844, -4244, 1792, 13264, 30172, 52516?\nAnswer: 80296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + t - 1511 + 5*t**2 + 1511 - 2*t. Let b(l) = 10*l. Calculate b(k(h)).\nAnswer: 50*h**2 - 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - 0.35. Let n(q) = -q**3 + q. Let r be n(-1). Let h = -4 + r. What is the second smallest value in -3, h, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 1 - 3 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 21*r - 38. What is the remainder when 48 is divided by i(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 822, 825, 830, 837?\n\"Answer: z**2 + 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i + m - 9, -2*i + 11 = 3*m. Is (i\/3)\/(4\/(-1578)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (111 + (0 + -7 - 26))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(55)\/sqrt(5) + sqrt(11))*-3 + -3.\nAnswer: -24*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 6 = -2*o - 12*c, -2*c = -2*o + 12. Solve 2*n = -4*l + o*l + 4, -3*n + 5 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714\/5 >= 144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20065 times -0.1865\nAnswer: -3742.1225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841295141?\nAnswer: 151, 5571491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 6255590*n**2 - 1956620312405*n.\nAnswer: -5*n*(n - 625559)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 1444222?\nAnswer: -1444221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15911827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k\/k**(-7\/6)))\/k)\/(k**41\/k)*(((k*((k\/k**7)\/k)\/k)\/k)\/k)\/(k\/(k*k**9)))**(-30\/7) assuming k is positive.\nAnswer: k**(1235\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4144 + 9026. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16050962 and 20314.\nAnswer: 2902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*((-m**3 + 0*m**3 + 0*m**3)*(-2*m + 3 - 3) + 2*m**2 - 2*m**2 + 3*m**4) - m**4 - 2*m**4 + m**4.\nAnswer: -7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6964)\/95755)\/(8\/(-5))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93832 and 11544?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.5, 0.4, 0.07298, 0.2 in decreasing order.\nAnswer: 2, 0.5, 0.4, 0.2, 0.07298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4712.61 - -4488.5. What is w rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/131931 and -25\/1495218.\nAnswer: 4485654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 889 divided by 4.\nAnswer: 889\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13852.\nAnswer: 2, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/2)\/40)\/((-4)\/8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/120 + s**5\/10 - 3*s**4\/8 - s**3 + 5*s**2. Let v be m(-6). Calculate the highest common divisor of v and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 174 - 556 = 0. Let w = u - 196. 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 next term in 11352751, 11352767, 11352783, 11352799?\nAnswer: 11352815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-10 + 17)*(0 + -1). Solve -2*c + 10*c - 32 = k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1145*a - 8944. Is 13 a factor of k(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/55 - 4\/10)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3 = -0*d + 1 - 14, 0 = -19*h + d + 110 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n. Suppose -3*f - 6 = -57. Suppose 0 = -15*u + 69 + 21. Let l(a) = 2 - 3*a - 2. Determine f*d(i) + u*l(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 158242*x**3 - x**2 + 969807 wrt x.\nAnswer: 949452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n - n)*(1 + 3 - 6)*(46*n**4 - 63*n**4 + 121*n**4) + 3*n**5 - 6*n**5 + 4*n**5.\nAnswer: 209*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*d + 96 = 2*i, 5*d - 96 = -4*i. Find the second derivative of i*o**2 - 19*o - 4*o + 7 - 7 wrt o.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*h**3*m**3 + 51*h**3*m**2 - 2*h**3 + 20*h**2 + 7573*m**4 + 29*m**3 + 2999*m**2 wrt m?\nAnswer: -90*h**3 + 181752*m + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7\/27 + 2\/27. What is the closest to t in -0.1, -0.04, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132164 and 6779732?\nAnswer: 2812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -226 + 224. Sort 36, 2, h in ascending order.\nAnswer: h, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - t**2 + 1. Let i be v(0). What is the first derivative of -4*w**2 - 2*w**2 + i - 5 + 2*w**2 wrt w?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 0.6. Let s = 3.9 + -4. Let n = s - 0.9. Which is the second biggest value? (a) j (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 30. Let s(a) be the third derivative of -1\/60*a**6 + 0*a**3 + 36*a**2 + 0*a - 1\/150*a**g + 0*a**4 + 0. Factor s(x).\nAnswer: -2*x**2*(5*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 843 and 12?\nAnswer: 3372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -11*b**2 - 672*b + 5242. Calculate h(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 210 = 5*n, 32 = n + 4*k + 9. Suppose -m + 40 = 3*l, -l + 4*l + 4*m = n. Suppose 4*z + 8*w - l = 3*w, 26 = 2*z - 4*w. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b9a59 - 94?\nAnswer: 2b9985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4. Let h = 317\/2 - 141. Let a = -18 + h. Which is greater: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 492 and 287.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29398 at most 29358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -227 - -227. Solve a = 4*i - 24 + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -257810956 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -23*k + 24. Let f(z) = -8*z + 8. Let g(a) = -17*f(a) + 6*o(a). Let v be g(4). Suppose -n - 4*n + 740 = -3*m, m + 5 = v. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 32*v - 4372. Determine k(52).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/8 (b) -0.2 (c) -5 (d) 1.653 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-410)\/246)\/((-3)\/3)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/45937969 and -25\/505317659?\nAnswer: 505317659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -0.5, 2\/25, 4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*l + 11 = -o, l - 2*o - 1 = 0. What is the second biggest value in l, -5, -184?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(136) + sqrt(136) + sqrt(136))*1 + (((-1*sqrt(136) - sqrt(136)) + sqrt(136))*-3 - sqrt(136)))\/(4*sqrt(16)\/sqrt(2) + sqrt(8) - 1*sqrt(8)*-4).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 6*w**2 - 2595*w - 6*w**2 - 543 - 6*w**2 - 6*w**2 + 420*w = 0?\nAnswer: -181, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 13*p - 72. Solve z = p - 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 9899100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(39\/(-156)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 + 425. Suppose 114 = 2*f - u. List the prime factors of f.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 6 = -4*c. Suppose c*j = -0*j + 32. Suppose 208 = 3*g - 2*l, 137 = 2*g + l - 11. What is the greatest common divisor of g and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 + 65. Suppose -17*s - 4 = -18*s, -2742 = -z*d - 5*s. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31423377 <= 219963648\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 7*h - 2*h)*(-7*h**2 - h + h) - 3*h**3 + 3*h**3 - h**3 + (0 + 0 + 2*h)*(-2*h**2 + 0*h**2 + 0*h**2) - h**3 + 0*h**2 + 0*h**2.\nAnswer: 57*h**3 - 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 223\/14070 and -101\/2010.\nAnswer: 14070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -11. Let y = -4 - r. Let t(x) = -2*x**y + x + 2*x**2 + 2 - x**2. Calculate t(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**5)\/u**(-1\/5))**10 assuming u is positive.\nAnswer: u**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**6 - 552*l**5 + 1030*l**2?\nAnswer: -240*l**3 - 33120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + 260\/(-18) + 12.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d, 4*d = 2*t - t - 32. What is the second derivative of -25*s + 64*s**5 + 61*s**5 - t*s - 42*s wrt s?\nAnswer: 2500*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217564*y = -3*l + 217562*y - 6, -3*y + 13 = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-277608)\/30)\/(-2) - 2\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199333, -797340, -1794011, -3189340, -4983321, -7175948, -9767215?\nAnswer: -12757116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*z - 28*z - 37*z - 35*z - 4*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0580047 rounded to 5 decimal places?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19 and 0.239.\nAnswer: -18.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - sqrt(208)*-5 - (1*sqrt(3328) + sqrt(3328)))\/(-3*-2*sqrt(400)).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1838480 by -262640.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2888919 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 117.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + -2 - (67 - 71)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 65\/28?\nAnswer: 65\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, s: 3, u: 7, i: 2}. Give prob of sequence gsi.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -811, -2459, -4953, -8293, -12479, -17511, -23389?\nAnswer: -30113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -55. Suppose 3*d + 5*d - l = 0. Let x(k) = 3*k + 4. What is x(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -351.94 rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 12*b**2 + 3. Let g be c(-12). Solve g + 1 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/12 and -13\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-2\/23)\/k*k*k)\/k**(-1) assuming k is positive.\nAnswer: k**(90\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x - 39*x = -3250000. Round x to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155131?\nAnswer: 89, 12979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2999 = b + 13023. Let h = b - -240641\/24. Let y = 15\/638 - 30121\/5742. What is the common denominator of y and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -27, 39, 147, 309, 537?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 62.48 and -0.29?\nAnswer: -18.1192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-70)\/8*8\/(-12)*426.\nAnswer: 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 21*n - 4 - 7 + 0 - 3. Let i be x(4). Let t = 181 - i. List the prime factors of t.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -419*f - 302. Let o be z(-6). What is the highest common factor of o and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 788586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 884147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 16 = -r. Let h(k) = 3*k**2 - 4*k - 4. Let x be h(r). Round x to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1125\/4*f + 0 - 3*f**2.\nAnswer: -3*f*(4*f + 375)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2. Let l(t) = -t**2 - t. Suppose y + 6 = 13. Suppose y*o - 3*o - 4 = 0. Let f(w) = -2*w. Let u(c) = o*f(c) - 2*l(c). Give u(z(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1215806 - s - 2*s + 1215806 + 0*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 13, n: 5}. Give prob of sequence nn.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4 - -35*(-78)\/1365?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*o - o - 10*o - 2*t, -4*o + 4*t = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 900, 940, 992, 1062, 1156?\n\"Answer: f**3 + 33*f + 866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(-27)\/(-324)*-3547436 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = -0*o. Suppose 5*g - 34 = o*g. What is the remainder when g is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -12 - -4) + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -47.716025 and -3668?\nAnswer: 3620.283975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4914\/(-325) + 15)*(-2 - 12\/(-9)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3169022 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1941 - 2525 + 1783)*(-4*m**4 + 0*m**4 + 2*m**4).\nAnswer: -2398*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 2 + -3)\/(-1) - (-318)\/106. Solve -4*h - 5 = -q - 1, -10 = q + a*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 4. Suppose -3*x + 2 = -5*q, 0 = 2*x + q - 11 + 1. Suppose -2*t - x = 2. Let w(d) = 2*d - 3. Determine t*w(c) - 2*f(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 529097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16)\/28*(-10 + 398670\/(-40))*2.\nAnswer: 2, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6, -9, -12?\n\"Answer: -3*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1680206660588 take away -4?\nAnswer: 1680206660592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -48678 divided by -183?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 12:36 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1233103411 (base 6) to base 2\nAnswer: 110111000001110010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*d + 59*d + 58. What is the remainder when ((-2)\/((-8)\/(-270)))\/((-51)\/68) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48735.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -19*t + 3. Let s(h) = -57*h + 8. Let o(x) = 17*c(x) - 6*s(x). Let g be o(4). Suppose -3*f + g = 19. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/8394288 and 181\/428280?\nAnswer: 41971440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -236871 to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**5 + 500507*n**4 - 1221706*n**2?\nAnswer: -120*n**2 + 12012168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1603 + 15?\nAnswer: -1588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1879699.\nAnswer: 347, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11441 + 15306 - 48326 = -2324*j + 45817 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 471631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 143 + 1?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 11 = -5*g. Suppose -g*l = 5*y + 26 - 5, 11 = 2*l - 5*y. Calculate the common denominator of l\/(-5) - (-191)\/10 and 79\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 - -25. Let b = j - 935\/8. Is b <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 1394, -1, 4?\nAnswer: 1394","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8682184 days to weeks.\nAnswer: 0.1240312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -16*n**3 + 3*n - 3. Let s(a) = -15*a**3 + 4*a - 4. Let c(h) = 4*i(h) - 3*s(h). Let b(p) = 13*p**3. Determine 7*b(m) + 5*c(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 42888553?\nAnswer: -42888552.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260 divided by 1370.\nAnswer: -26\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**6\/324 - m**5\/135 + m**4\/108 + m**3\/3 - 3*m. Let o(g) be the second derivative of j(g). Factor o(p).\nAnswer: -2*(p + 1)*(5*p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddwccddddcccciddycdc. Give prob of picking 1 w and 1 i.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14300366 (base 7) in base 10?\nAnswer: 1344755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00041824 rounded to 5 dps?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 12. Solve -2 = 3*t - w*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**4\/4 - 110*c**2 - 4*c. Let y(v) = -31*v**2 - 4. Determine f(y(n)).\nAnswer: 186*n**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25923, -51848, -77773, -103698?\nAnswer: -129623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, -4483, 0.0243?\nAnswer: 0.0243","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) + 33\/(-4). Let l be 28\/16 + (-2)\/q. Factor -2 + 4*p**2 + 2*p - 10*p - l*p**4 + 8*p.\nAnswer: -2*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-4)\/6*(-36)\/(-24)). Solve 3\/2*g + k*g**2 + 0 - 3\/2*g**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/6*(-2154)\/(-359)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25\/8 - -157\/40. Find the common denominator of r and (11\/33)\/((-2)\/(-7)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**3 + 35*i**2 - 75*i - 21. Determine u(9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 65362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (44\/110)\/((-3)\/(-1230)) and 12.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 5. Let j be f(-4). Let a(l) = -j + 7*l**2 - 3*l**3 + 10*l + l**3 + 36 + 3*l**3. What is a(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*s + 48*s - 780. Let k = s - 972\/5. Put k, -0.5, 2, 2\/13 in descending order.\nAnswer: 2, k, 2\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-7) + (-540)\/(-630).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 + 259244*a\/3 - 16801862884\/3.\nAnswer: -(a - 129622)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 9) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5 - 2\/5*i**2 + 4\/5*i.\nAnswer: -2*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -289 + 311. Let y = -11 + l. What is the greatest common factor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-two fifths of a week?\nAnswer: 64512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -1\/90*u**5 + 0 + 0*u**3 + 0*u - 1\/72*u**4 + 2*u**2. Find t such that o(t) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 24\/7, 51.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-9) - (-22)\/(-18). Let i = k + 4. Let a(m) = m - 2. What is a(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 - 2*c - c + c + (-14*c**2 - c**2 + 2*c**2)*(-1 - 3 - 3) - c**2 + 1 - 1 as o*c + s*c**2 + g and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*y**4 - 4*y**2 + 74167*y - 3562396.\nAnswer: -80*y**3 - 8*y + 74167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*j**2 - 9*j**2 + 2*j**2 + (-2*j + j + 0*j)*(252 + 65*j - 252).\nAnswer: -81*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -30, -95, -222, -435?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.021\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19390 + 146133 = 70*t - 42167. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j. Let y = -10 + 9. Let k be x(y). Let a(z) = 3*z**2 + 4*z + 2. Let f(o) = o**2 + o - 1. Let i(t) = k*f(t) + 2*a(t). What is d in i(d) = 0?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*w + 125*w - 217 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69464)\/(-14624))\/((-2)\/1*3\/(-24)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 6:28 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4739094 is divided by 789831?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-82648)\/(-14) - (-7 + (-270)\/(-42))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 87 - 8 = 0. Suppose 3*r - 23 = -0*r - 4*n, -3*n - j = -5*r. Solve 0 = 5*c + r*z + 7 + 33, 5*z + 8 = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39262, -78496, -117730, -156964?\nAnswer: -196198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -4)*(15 + 2). Let s = l - -6. Let c(p) = -2*p + 5. Does 9 divide c(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3 + 490*n**2 + 30256*n + 29768 = 0. Calculate n.\nAnswer: -122, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from dsdddddezdbdtddedtt?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:29 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16844.\nAnswer: 2, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35582778?\nAnswer: 2, 3, 7, 11, 25673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -275.99504 - -276. Round h to four dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22432*r**2 - 2624546*r + 234.\nAnswer: 2*(r - 117)*(11216*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 12*x + 24. Let d be s(10). Suppose -d*g + 46 = -10. Calculate the least common multiple of 18 and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.924786*27\nAnswer: -24.969222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k + 2. Let l be c(-3). Suppose -6 = -l*v + 8*v. Solve v*g = 4*g + 4*s, 4*g = -3*s + 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2 + 1. Let c be p*6\/(-1*3). Calculate the common denominator of ((-455)\/5)\/(-1*c) and 39\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/4508904?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-40)*91\/((-3003)\/198)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 63 = -5*n - 2*s, 5*n + 3*s + 343 = 0. Let j = 144 + n. Let o = j + -61. Solve 7*b - o = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 73*s - 77*s - 34, 4*s = -3*l + 1 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.42998962 - 0.43. What is v rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 38. Does 12 divide ((-81)\/k)\/((-1)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 5)*(-12 + 36 - 9) + (1 + 2 - 2)*(-6 + 3 + 5) + 1 + 3 - 5 + 2 + 0 - 1 + 6 - 1 - 3)*(-2*q - 4 + 4).\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21972 - -22319. Calculate the remainder when 497 is divided by v.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -14.22. Let o = l - 0.08. Let y be ((-18)\/(-24))\/(3\/2). Which is the second biggest value? (a) -1\/2 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/12*(-4)\/(-15). Let n = -3 + 4. Let i = 5 - n. Which is the third biggest value? (a) i (b) -2\/9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78\/7 - -305\/28. Let m = -2 + 3. Is j bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, -73 in increasing order.\nAnswer: -73, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2\/((a*a**(2\/9)*a)\/a*a*a))\/((((a*a**(3\/4))\/a*a)\/a)\/(a*a*(a\/(a\/(((a\/a**(3\/8))\/a)\/a)))\/a*a)))**(10\/7) assuming a is positive.\nAnswer: a**(-485\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20543711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1486*p**2 - p - 3. Is 14 a factor of f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 - 4*z**2 - 4*z**5)*(0 - 3 + 0) - 4*z**5 + 3*z**5 + 4*z**5.\nAnswer: 15*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 - 0.19. Let a = -1467 + 1466.8793. Let h = a - d. Round h to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 35245 and 0.06.\nAnswer: 35245.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 1632*w - 8130. Determine j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/2)*d\/(d*(d\/(d\/d**(-13\/2)))\/d))\/(d**(3\/29)\/(d*d*d**(-26))))**(11\/6) assuming d is positive.\nAnswer: d**(-1925\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -7385224 > -7385214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by -2\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3072, 24603, 83064, 196923, 384648?\n\"Answer: 3078*u**3 - 3*u**2 - 6*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/(-55))\/(3\/(-12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c**2. Let f(g) = -g**2 - 11*g - 22. Let l be f(-9). Let k(u) = -4*u**2. Let b(i) = 3*i**2. Let x(y) = l*k(y) - 6*b(y). What is q(x(s))?\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (-2*sqrt(228) + sqrt(228)))*1 + (sqrt(228)*2 - sqrt(228))*-5 + sqrt(228))\/(1*sqrt(1728) - sqrt(24)\/(2*sqrt(2))).\nAnswer: -4*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 30 = 5*i, 4*z - 3*i = -2 - 18. Suppose 3*l = -4*y - 2, -3*y + 0*l + 5*l - 16 = 0. Is 127\/((-2)\/(-16)*z*y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/6 + 5273*z**2\/6 + 2316165*z\/2 - 2317923\/2.\nAnswer: (z - 1)*(z + 2637)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*s - 145*s + 86*s.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 3*l + 8. Let i be u(-4). Let f = -12 + 21. Let c(n) = n**3 - 10*n**2 + 10*n - 4. Let h be c(f). Solve h*k + 8 = -i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from xcxbcxxxxggxgc.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1650 (base 7) to base 11.\nAnswer: -561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**5 + 105*w**4 + 480*w**3 + 500*w**2 = 0?\nAnswer: -2, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -7.9, 2\/5 in ascending order.\nAnswer: -7.9, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -13*m**2 - 489*m**2 + 503*m**2. Let l(i) = -3*i**2 - 5*i + 5. Let t(f) = f**2 + 2*f - 2. Let s(q) = -6*l(q) - 15*t(q). Determine s(x(b)).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 + 2. Let i(n) be the second derivative of -n**4\/12 + 11*n**3\/6 - n**2 - n. Let x be i(9). Calculate the greatest common factor of x and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -14) + -9 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k + 8. Let y be n(-7). Let s be y\/(-18) - 3\/(-2). What is w in w - 4*w**s + 5 - 1 - 4*w**2 + w + 2*w = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 689*x**3 + 682*x**3 + 681*x**3 - 2055*x**3 - 20*x**2.\nAnswer: -3*x**3 - 20*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 368*z + 4. Let g be r(4). Suppose -4*m - g = -4*u - 9*m, -3*m = -u + 386. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -12311*w**4\/12 - w**3\/3 - w**2 + 10*w. Let g be u(-1). Round g to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2423551941?\nAnswer: 3, 491, 182813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 2. Let x(q) be the first derivative of -q**3\/3 - q**2\/2 + q - 46. Let m(i) = i**3 - 2*i**2 + 11*i - 12. Let w(p) = -m(p) - 5*x(p). What is w(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and -1748.7.\nAnswer: -33225.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210010112201201221 - 12?\nAnswer: 1210010112201201202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -17. Let v be (p\/6)\/((-3)\/(-36)). Let d(u) = -4*u + u - 2*u + v*u. What is d(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(160))\/sqrt(8))\/(sqrt(1210) - (sqrt(1210) - sqrt(1210)*-1)) - ((sqrt(8) - sqrt(64)\/(sqrt(32) + sqrt(8)))\/(sqrt(28)\/sqrt(112)))**2.\nAnswer: -128\/9 + sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 316440 and 386760?\nAnswer: 3480840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 11*p**2 - 2 - 1 - 10*p - 3 + 9*p. Is l(4) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m - 22. Give r(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123 by 41.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 467910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 4. Let m be t(-6). Let h(k) = 3*k**2 + k**m - k**2. Let c(l) = 9005342 - 5*l**2 - 9005342. What is h(c(u))?\nAnswer: 75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.66? (a) -7 (b) -0.1 (c) 1 (d) 0 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -149*l**3\/6 + 7*l**2 - 4*l - 1. Let b(s) = -s. Let p(o) = 2*b(o) + x(o). What is the first derivative of p(a) wrt a?\nAnswer: -151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3142 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*h**2*x**2 - 1925*h**2*x - 255*h**2 - 13*h*x**2 + 16878 with respect to x.\nAnswer: 90*h**2*x - 1925*h**2 - 26*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 8.54?\nAnswer: 17.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53039486 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -977 and -938 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 + 92.167. What is v rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -53*n + 9*n. Solve 4*g = -3*m - 13, 0 = -n*g + 2*g - 2*m + 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1422733893.00035 + -1422869272. Let v = h + 135390. Let a = v + -11. Round a to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133092*b**2*u**5 - 672*b**2 - 2*u**6 + 193*u**2 wrt u?\nAnswer: -7985520*b**2*u**2 - 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 27*v - 52. Suppose 2*h - 4*x - 26 - 40 = 0, 4*x - 59 = -3*h. What is l(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515504404?\nAnswer: 2, 101, 1276001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 32 = 2*d, 4*f + 5*d - 16 + 4 = 0. Calculate the lowest common multiple of 16\/24 - (-2)\/6 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 12. Let i = 8 + 15. Suppose d*m + i = 78. Solve 4*b + 3 = -g, 3*g - m - 6 = b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/38 - 25\/((-8550)\/812214)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/10 + 259*z**2\/5 - 67129*z\/10 + 33306\/5 = 0. What is z?\nAnswer: 1, 244, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + -143?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -297092791718958 and 0.5?\nAnswer: 297092791718958.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 222049626 to the power of 1\/3, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290337343 = -6*t + 60537343. Round t to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 11:53 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 15 = 9*i. Suppose -b - i*c = 39, -3*b - 18 = -b - 4*c. Let z = b - -50. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1835130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3263, 3261, 3301, 3377, 3483, 3613, 3761, 3921?\n\"Answer: -q**3 + 27*q**2 - 76*q + 3313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -15 + (-3 - -1 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1122*c**6 - 22*c**2 - 56*c + 1?\nAnswer: 134640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25039 is divided by 309.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45 times 18?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -12?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 1942972?\nAnswer: -1942969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7652657869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 + 2367379*z**2 - 2 - 4*z**3 + 2 + z**3 - 2367379*z**2.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -111 or -699902?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x. Let s = -0.0004 + -0.4996. Let d = 0.06 - 0.01. Which is the nearest to x? (a) d (b) 2\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2 - 26*o - 10. Let t be z(-5). Let q(g) = g**3 + 2*g**2 - 4. Let v be q(0). Sort v, 0, 6, t in ascending order.\nAnswer: t, v, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 89*o**4\/4 + o**3\/3 - o**2\/2 - 5. Let g be m(1). Round g to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 1 - 5. Let o(q) = -44*q**2 - 42*q**n + 94*q**2. Let i(l) = -12*l**2. What is o(i(m))?\nAnswer: 1152*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 48193551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 2*f - 81. Suppose -u - 4*p = -4, -9*p + f*p + 2 = -2*u. Factor -1\/3*q**4 + u + 0*q**2 + 2\/3*q**3 + 0*q.\nAnswer: -q**3*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*c + 16, -9*c - 19 = -4*c - 4*j. What is the units digit of (c\/(-4) + (-1)\/(-4))*1847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1427 divide 38636025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1185169*s - 68880 = 1185989*s for s.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36945?\nAnswer: 3, 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -529609a (base 11) to base 16\nAnswer: -8e355b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/15 + 44*d\/3 + 304\/5.\nAnswer: -2*(d - 114)*(d + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c**3 + 14*c**3 + 18*c**3 + 10*c**2.\nAnswer: 22*c**3 + 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 70001, 70017, 70049, 70103, 70185, 70301, 70457?\n\"Answer: m**3 + 2*m**2 + 3*m + 69995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2799 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/2*(-4)\/(-6). Suppose 0 = -2*q + r - 5*r + 18, -m*q + 19 = 2*r. Sort 0.4, q, -0.3 in decreasing order.\nAnswer: q, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 85113?\nAnswer: -85110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*2 + -5 + sqrt(104)\/(sqrt(8)*-2) + -4 + 4 + 3 + sqrt(39)\/sqrt(3) + 5.\nAnswer: 3 + 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 699329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 699148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.7524188 and 52 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 578*n**2 - 42*n - 388. What is the tens digit of v(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123*f**3*l**2*v**3 + f**3*l**2*v + 20*f**3*v**2 - 2*f*l**2 + 3*v**2 wrt v?\nAnswer: 738*f**3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-5) + (-28314)\/195. Calculate the remainder when (8903\/x)\/(1\/(-5)) is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 828*r**3 + 621*r**2 + 621. Let n(z) = z**3 + z**2 + 1. Determine b(y) - 621*n(y).\nAnswer: 207*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -103*p + 81. Let a(o) = 28*o - 20. Give 22*a(i) + 6*c(i).\nAnswer: -2*i + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/159 and 4\/51993.\nAnswer: 51993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 + 1.35. Let h = -2.05 - n. Suppose 2*x = -8 - 0. Which is the closest to -2\/5? (a) x (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 + 13 = 26*y + 25. Let x(k) = -k**3 - 5*k**2 + 16*k + 18. What is x(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 6. Let m be x(-8). Let s(q) = -6 + 2*q + 5 - m*q - 4*q**3. Determine s(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93? (a) -4 (b) -45 (c) 3 (d) -4\/5 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*p = 29659 - 34218 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 16 + 14 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -263.3946014 to three dps.\nAnswer: -263.395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -633.0192 + 642.2. Let n = y + 0.1142. Let b = 0.095 - n. Round b to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 54*g**2 - 584*g - 3852. Give w(64).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 10*b + 11. Let j be t(11). Suppose -9 = -3*m - 3*i, j*m + m + 6 = 2*i. Solve -3*r + m = 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = r - 24. Let x(l) = 46*l + 12. Let s be x(r). Suppose -2*d + s = 2*d. What is the greatest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -1223*d**4\/24 - d**3\/2 + 44*d**2 + 2*d. Does 13 divide p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 31?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 0*c - 1 - 6 + 6*c - 1 + 8*c**2. What is m(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 3*w - 3240. Let a = w + 324. List the prime factors of a.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 6*n**2 - 8*n + 9. Let g be v(7). Suppose -g*j = 3*a - 7*a - 26, 15 = j - 4*a. Solve -4*q - j = 9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3 + 9840*z**2 - 108729*z - 414666 = 0. What is z?\nAnswer: -3291, -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1210400 and 1088?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 4:47 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**2 - 32*w + 32*w - 20*w**2.\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 - 10*b**2 - 2*b + 18. Determine w(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from {i: 2, n: 3, c: 4, u: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*u + 2*u. Let d = u + 12. Solve 2*l - 13 + 2 = -d*c, -l = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2. Let l(f) = 51 - 333 - 40 + 2*f - f. Determine l(h(t)).\nAnswer: 2*t**2 - 322","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*g = 155*g + 5*l - 1, 4 = 4*l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*1)\/((-4)\/(-726)*11). Suppose l*s = 8*s + 39600. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754514.\nAnswer: 2, 377257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5*(-3)\/(-2). Suppose 7*v - 935 = -235. Let q = v - 803\/8. What is the smallest value in o, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**4 - 12*p**3 + 24*p**2 + 2*p + 492 wrt p.\nAnswer: -36*p**2 - 72*p + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 35 = 5*g, -3*t = -4*t + 3*g - 11. Let s = 15 + t. Solve -2*u + s*u = 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**15*m**(-21)*m*m\/m**2*(m*m**(-19\/5))\/m*m assuming m is positive.\nAnswer: m**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001011 + 1100011?\nAnswer: -111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 6:42 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 4*a**2 - 5*a - 5. Give i(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 4 (b) -53 (c) -2.542\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42641*c**2 + 91958 wrt c.\nAnswer: 85282*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1928 + 1964 = 2*b + a, 3*a + 3900 = 2*b. Let i be b\/198 + 2\/12 + 0. Solve -15 = 3*v + 5*r, 3*r + i = -2*v + 5*r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 230 + -575. Let f = -216 - y. List the prime factors of f.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.59 - 0.11. Suppose 0*t + 12 = 4*t, 3*i + 51 = -3*t. Let x be -3*(-3)\/9*(-4)\/i. What is the nearest to x in -3\/8, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 - 10076*s - 30226\/3.\nAnswer: -2*(s + 1)*(s + 15113)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 242 = 30. Let i be 1430\/17 + (-16)\/n. Suppose 0 = 2*g - 28. Calculate the highest common divisor of i and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**3\/3 - f**2 - 5*f + 11. Let o(h) = -2*h + 3. Determine -2*o(b) - 3*s(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.27 - -1.075. Let i = z - -0.195305. What is i rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 + 99. What is the closest to r in 4, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*y + 2*y - 100 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z - 2. Is 5 a factor of j(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 7*h + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(-2*sqrt(11)))\/(-6*sqrt(8)).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005692782604 rounded to 7 dps?\nAnswer: 0.0056928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 726553 to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22575*r**3 - 11280*r**3 - 11294*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 811154 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000079447 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -1\/6 (c) 12 (d) 1 (e) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12848 is divided by 204.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -2*(sqrt(77)*-1 - sqrt(77)))\/(sqrt(7)*-1*-5).\nAnswer: -3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.7, -1, -0.06464, 11, 12, -4, -2\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from fnofjjoooooofjoooooo?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4208 rounded to 2 dps?\nAnswer: 1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*v - 10 = -v, 3*p + 4*v = -11. Let s = 63 - 66.9. Let b = 4 + s. What is the smallest value in 1, p, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23366 + 2219829\/95. Let l = m + -8\/19. Which is the nearest to l? (a) 1 (b) -1\/4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 209*j**2*n**3 + 106*j**2*n + 239*j**2 - 8*j - 191181*n**3 wrt j?\nAnswer: 418*n**3 + 212*n + 478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28)\/(-21)*-3 + (-10)\/(-1) + 234 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13*(-34)\/(-663))\/((-2)\/(-12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -5 (b) -2\/5 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (4 - (-2 - -1)) - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*p + 83 + 300*p + 94 - 176 as o + h*p and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 62*h**2 - 42. Give w(62).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 70. Give i(0).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t - 5. Let s(n) = 34*n + 28. Let d be 5\/(-5) + (0 + 0 - 1). Let q(b) = -17*b - 14. Let j(h) = d*s(h) - 5*q(h). Calculate -11*g(w) - 4*j(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 5:18 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 + 56. Let h = 52 + m. Let k be 24 - (-1 - (-1 + 0)). What is the highest common divisor of k and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*d**4*j**3 - 117*d**4 - 2*d**3*j + d**3 - 2*d**2*j**2 - 130*d*j**3 + 22 wrt d.\nAnswer: 552*d*j**3 - 2808*d - 12*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-70)\/(-8))\/(-5))\/((-8)\/108 + 35\/108).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-6 + (10 - -93))\/(-4))\/(4\/(-16)) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 + 14*z + 16*z + 5*z - 35*z.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/745 - -3731\/4470. Which is smaller: p or 15.6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 263.8, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56515147?\nAnswer: 13, 4347319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + (sqrt(85) - -6*(sqrt(85) + -3*sqrt(85) + sqrt(85))))\/((sqrt(80) + sqrt(5))*5))**2 - (-4*3*sqrt(102))\/(sqrt(600)*2).\nAnswer: 272\/625 + 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-192) + 455\/(-120)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168301 is divided by 55826?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4 + 20\/24. Let u = -8 - -7.3. Let j = -0.3 + u. What is the second smallest value in 1\/2, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 793 + 283*b - 794 - 10*b.\nAnswer: 273*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from egeeeeeeeeeeeeeeegee?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 7)*(-3)\/(-9). Suppose -s + 10 = 2*y. Suppose -y*j + 228 = -0*j. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 127 = -p + 12*u, 5*u - 15 = 0. Sort 5, -3, p in decreasing order.\nAnswer: p, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/17)*y\/(y\/(y*(y**(-1\/5)*y)\/y*y))*y**18*y*y**(-6\/11))**5 assuming y is positive.\nAnswer: y**(19268\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 76104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q + 9. Let w be h(4). Let j(s) = s**3 + 2*s**2 - 5*s - 4. Let d be j(w). Factor 2*n - n**3 - d*n**3 + n**3 + 0*n**3.\nAnswer: -2*n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 10*s - 3. Let t be (2 - (-42)\/(-15))*-10. What is the tens digit of u(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/3)\/k*k*k)**(5\/9)\/((k*k\/(k\/(k\/(k*(k\/k**(2\/7)*k*k)\/k*k))*k))\/(k\/k**(-4\/7))))\/(k**5\/k**(-5))**30 assuming k is positive.\nAnswer: k**(-55610\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 371? (a) -2\/9 (b) 28 (c) 4 (d) 5 (e) 0.3 (f) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z = 65 + 13 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 113 = -33. Let c be 84\/g + (-1)\/5. Let o(d) = -d - 3. Let z be o(-5). Solve -u = -z*u - c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 11*m = -79 + 13 + 465 for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2431629, -4863258, -7294887, -9726516?\n\"Answer: -2431629*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41936\/15 + 2797. Let g = y - 3\/5. Sort -5, g, 1\/6 in descending order.\nAnswer: g, 1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 11. Suppose x - f = -16. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 5:41 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266983917?\nAnswer: 3, 88994639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5, 116*q = 111*q + 2*w + 40. Let h be 5\/(-2)*(-12)\/15. Calculate the remainder when h*-1 + 0 - -24 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 3*p**2 - p. Let s(y) be the second derivative of y**5\/60 - y**2\/2 - 4*y. Let i(u) be the first derivative of s(u). What is -f(r) - 5*i(r)?\nAnswer: r**3 - 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 14 - 2 = 0. Let p = 42 - m. Let d = -10 + p. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -265 + -2b6570?\nAnswer: -2b6815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57045, 114195, 171345, 228495, 285645?\nAnswer: 342795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 10576.3?\nAnswer: -10578.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*c = 165, -3*b - c = c - 166. Let s be -6 + (-2)\/4*-8. Let i be (3 - -1) + s - -12. What is the highest common divisor of b and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/4 + 2\/2. Let f be (-9)\/(-2)*a\/(-21). What is the closest to 0 in 4, 2\/5, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*(1*sqrt(1584) + 3 + sqrt(1584) + (sqrt(1584) + -1)*6))**2.\nAnswer: -82944*sqrt(11) + 14599440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5197*r**3 - 8*r - 2593*r**3 + 8*r - 2587*r**3.\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26109, -26019, -25929, -25839, -25749?\n\"Answer: 90*c - 26199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 211 - 196. Sort -5, -2, -3, a.\nAnswer: -5, -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3719956*i**4 + 94*i**2 - 1797?\nAnswer: -89278944*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (240\/64)\/((-2)\/(-56)). Let x = 172 - n. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 5*k - 2*g, -12 = 3*g + 3. Let u be -10 - -17 - (0 - -5). What is the second derivative of 22*v + 24*v**u + 24*v**2 - k*v**5 - 48*v**2 wrt v?\nAnswer: -640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21003 is divided by 20941?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27551 or 27552?\nAnswer: 27551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 3*a + 28 = -11*j + a, 4*a = 8*j + 40 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/(-9) - (-1)\/3. Suppose 96 = 4*k + 4*g, 0 = -k + 5*k + 3*g - 92. Suppose 0 = 10*o - j*o - k. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most 103049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56625395.4 minutes to weeks.\nAnswer: 5617.59875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49260373.\nAnswer: 17, 53, 54673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(11))**2 - sqrt(11)) + sqrt(44)\/sqrt(36) - (-1*(sqrt(132) - -2*sqrt(132) - sqrt(132) - sqrt(132)))\/(sqrt(12) + sqrt(108)\/(sqrt(36)\/sqrt(4))).\nAnswer: -sqrt(11)\/6 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 6:52 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -3748, -13852, -33530, -65974, -114376?\nAnswer: -181928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529277 is divided by 264208?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpapaamaraa. Give prob of sequence rpam.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2494 plus 6877?\nAnswer: 4383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -2\/3 (c) 966\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + s = -2*z + 8, 8 = 4*z + 3*s. Let c = z - 2. Suppose 5*k = 2*f - 0 - 3, -2*k + 22 = 5*f. Sort 12, c, k in ascending order.\nAnswer: c, k, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12907.\nAnswer: 12907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**3 + 363*t**2 - 17*t + 2?\nAnswer: -12*t + 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 477 + 127. Suppose s = 4*r - 2*o, 2*r + 5*o = o + 40. Calculate the remainder when 65 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -5 (b) 0.2 (c) 16\/7 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -226.76188 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 7*q. Let a be s(7). Suppose -2*x - 9 + 1 = a, 0 = 3*u + x - 38. Suppose 29*d - 263 = -9*d - 187. Solve 5*w = d*g + g + u, -g = w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 11*x = -109014. Let f be x\/150 - (-28)\/(-21). Let j = 241 - f. Does 0 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14337?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**3 + 12*y**2 - 54*y - 173. Give b(-3).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*r - 4 = 0, 3 = -2*n - 2*n - 5*r. Let w(a) = -67*a**3 - 6*a**2 - 4*a - 3. Let t be w(n). What is the greatest common factor of 47 and t?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 3*h**2 - 1. Suppose 4*z = 5*u - 27, 2*u = u + 5*z + 18. Let j be 0 + u + -6 + 1. Determine p(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6638 - 24?\nAnswer: -24.6638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*w + 30 = 0. Let d(f) = f**2 - 4*f + 4. Let x be d(3). Suppose -9*n - x = -19. Sort w, 5, n in ascending order.\nAnswer: w, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3 + 54*w**2 + 148*w + 96 = 0.\nAnswer: -24, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 - 2)*(5908*k + 570*k + 1810*k - 1742*k).\nAnswer: 26184*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 52. Solve o = -4*x, 5*w + 3*x = 18 + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(22)\/sqrt(2))**2 + ((sqrt(99) - (sqrt(99) - (-2 + sqrt(99))))**2 - sqrt(99)).\nAnswer: -15*sqrt(11) + 202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m + 44*m**2 + 50186 - 50186)*(-2 + 0 + 4).\nAnswer: 88*m**2 + 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) -15\/2 (c) 13 (d) 0.2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*q - 5*q - 9*q)*((15 - 30 - 10)*(2 + 2 - 3) + 0 - 2 + 7 + 1 - 4 + 2).\nAnswer: 777*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -286*s**3*t**3 + 13395255*s**3*t**2 - 2561*t**3 wrt t?\nAnswer: -1716*s**3 - 15366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1151897 divided by 691?\nAnswer: -1667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 399, 809, 1241, 1707, 2219, 2789, 3429?\n\"Answer: 2*i**3 - i**2 + 399*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 611 + -615. Does 19 divide w\/1 + 3 - (-326 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 325 - 313. Suppose -83 = -d*k + 97. Is 16 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v. Let l(w) = -101000450*w. Give s(l(k)).\nAnswer: -101000450*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, 5, -186, -2, -1 in descending order.\nAnswer: 5, 0, -1, -2, -9, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Suppose -2*g + 12 = -5*c + 7*c, 3*c = 0. Calculate the lowest common multiple of a and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 482027 and 637?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(200)) - (-4 + 1 + sqrt(200)))**2 + ((-2 + sqrt(200))**2 + 4 - (2 + sqrt(200) + 5))*6.\nAnswer: -240*sqrt(2) + 1415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n - 40*n = 4*u - 40240, -n + 10066 = -5*u. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004672 to 5 decimal places.\nAnswer: 0.00467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 21*p - 16. Let k be s(1). Suppose k*o = -5*j + 2210, 5*o - 2*j = 2299 - 82. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88.49 + 88.55. Sort 5, j, -0.2, 3 in increasing order.\nAnswer: -0.2, j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 334051*x**2 - 9 - 10.\nAnswer: 334051*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0 + 1\/24*t**4 - 23*t**2 + 0*t - 2\/3*t**3. Determine d(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 7*o + 28. What is m(-7)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/6)\/j*j)\/j**4)\/((j\/(j*j**(-5))*j)\/(j\/(j**(-5)\/j)*j)) assuming j is positive.\nAnswer: j**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 246 = -c, 353*z + 96 = 354*z - 4*c. Let b(u) = -u**3 + u**2 - u + 30. Let t be b(0). What is the highest common factor of z and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 4. Let d(w) = 27*w - 2. Let i be d(0). Let m be i\/(-3 + 2) - (-9 - -7). What is l(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 12*y - 32 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + sqrt(2736) + 3 - (sqrt(2736) + -4*(-4*sqrt(2736) + sqrt(2736)) - sqrt(2736))))**2.\nAnswer: 4752*sqrt(19) + 2979540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*x - 2 - 4 + 4 + x + (1 - 3 + 3)*(1 - 1 - 2*x) + 99*x + 170*x - 470*x + 2*x - x - 3*x)*(-x - 2*x + 4*x).\nAnswer: -206*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*b + 47*b + 46*b + b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**3\/3 - 17*m**2 + 129*m + 2. What is k(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6200 >= -6236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by ((-44)\/55)\/(2\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2938*r**2 - 13*r - 1054*r**2 + 13*r to the form j*r**2 + n + g*r and give j.\nAnswer: 1884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxn when three letters picked without replacement from {n: 3, x: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 209*n**2 - 525*n**2 + n**3 + 40 - 40*n + 299*n**2. Calculate y(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*1\/3 - -1. Suppose 2*p - 6 = 0, -x + p = t*x + 138. What is the units digit of (-1)\/5 - 2619\/x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwzzfwzwwzzzwwzzzww. Give prob of picking 1 z and 1 f.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/18 - (-64)\/36. Suppose 8 = -r + i*x, 3*x - 7*x + 16 = 0. Suppose r*z - 5*z = -4*l + 35, -3*l - z = -12. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4546\/3 or 1515?\nAnswer: 1515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88702*f + 61801*f + 3833*f.\nAnswer: 154336*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8103.9102 rounded to the nearest ten?\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/10*(-15)\/3. Suppose 10 - n = m. What is the second derivative of -y**5 + 4*y - m*y + 3*y wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5196 + -5195.926. What is the smallest value in 1, 0.4, -0.1, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 770 and 1100.\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*q + 94*q + 3 = 362*d, 5*d - 5 = 5*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-4) + (-121)\/484. Factor -6\/5*i**d - 4\/5*i + 0.\nAnswer: -2*i*(3*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p. Let y(w) = 2 + 0 - 3. Let b(l) = 3*l - 5. Let a(c) = b(c) - 5*y(c). Let m(v) = 10*v. Let q(t) = -21*a(t) + 6*m(t). Determine f(q(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 569 = -4*t, -281 = 4*t - 2*u - 859. What is the remainder when 200 is divided by t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 644 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 - 102. Let p be ((-4)\/16)\/(-2*u\/(-192)). Solve -16 = -3*n - 4*h, h + 0*h - p = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 2*x**2 + x + 2. Let b be (5\/(-10))\/((-1)\/4). Determine j(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -33, -0.05 in increasing order.\nAnswer: -33, -18, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65341830 is divided by 661.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*z + 0*z = 69. Let v = -0.1 - 4.9. What is the closest to z in 2\/11, v, 3\/8, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 - 62. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 7410.\nAnswer: 37050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pij when three letters picked without replacement from {p: 3, k: 2, j: 1, x: 1, i: 1, h: 4}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.4 + 5.7. Is c smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2203 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -24*j - 66. Let g(q) = -2*q + 1. Let k(r) = -4*g(r) + m(r). Find the first derivative of k(x) wrt x.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*y**3 + 20*y**3 - 43*y**3)*(-y + y - 2*y)*(-1 - 5 + 5) in the form b*y**2 + p*y**3 + l*y**4 + r + g*y and give l.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26957 + -26951. Solve d*r - 6 = 11*r + t, -3*t - 2 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 77753879, 155507752, 233261625?\n\"Answer: 77753873*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 2*j + 0*j - 2*j + 25*j**2.\nAnswer: 25*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6702701, 6702689, 6702669, 6702641, 6702605?\nAnswer: 6702561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -855151, -1710302, -2565453?\n\"Answer: -855151*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 56. Suppose 39 = 3*q - 5*o, 5*q - 3*q - j*o - 28 = 0. Solve 0 = 3*m + q - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.53715 - -0.23715. Put g, 2.3, 2, 3 in increasing order.\nAnswer: g, 2, 2.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 5, -8?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.892, 0.0779, 5, 2\/7, 1 in descending order.\nAnswer: 5, 1, 2\/7, 0.0779, -0.892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvssvwsv. What is prob of picking 1 w and 1 v?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 298 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 4:28 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 + 0.73383149?\nAnswer: 0.75383149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.106 + -0.406. Let m = 0.105 + -0.005. Which is the closest to 1? (a) 1\/2 (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2450))\/sqrt(10) + ((sqrt(5)*2*5)**2 - (sqrt(5) - (-4*(2 + sqrt(5)) + sqrt(5)))**2).\nAnswer: -43*sqrt(5) + 356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 63 = 6*b. Suppose 5 = -q + b. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and -7.71.\nAnswer: 192.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n - 2. What is the smallest common multiple of 6 and k(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 71 and -4.3.\nAnswer: -305.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/140 and (-1)\/28*(-153 + -3 + -2).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**6\/10 + t**5\/20 + 101*t**3\/6 + 2742*t**2 - 264*t - 5. Differentiate s(v) wrt v.\nAnswer: 12*v**3 + 3*v**2 + 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 2*c**2 + 7 + (4 - 2*c - 4)*(-1 - 11*c + 1).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 8 + (-10 - -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 1. Let k = -21 - -13. Let b = 1 + k. Let l(m) = 2*m - 1. Give b*f(o) + 5*l(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 10. Suppose o + 6 = d*o. What is the closest to -0.2 in o, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*f + 31, -2*f + 3 = -5*f + 5*c. Suppose -5*j = -i + 1, f*i + 2*j = -j + 27. Calculate the common denominator of -32 and (4\/i)\/((-4)\/88).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*w + 439*w + 754 = 0 for w.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j. Suppose 8 = 13*z - 18. Let g(c) = -210*c**z - 219*c**2 + 412*c**2. Determine b(g(v)).\nAnswer: -85*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from {o: 1, p: 1, y: 1, s: 1, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = 19.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 7*x - 12 = -2*b, -3*b - 3*x + 9 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 + 74. Suppose -37 = -h*m + 53. What is the greatest common divisor of m and 150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**3 - 5*y**2 + 7*y - 4. Let i(w) = -w**2 + 0*w**3 - 4 + w**3 + 3 + w. Let r = -2526 - -2525. Determine r*n(l) + 5*i(l).\nAnswer: l**3 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 22 + 85 = -2*v, 5*r - v - 106 = 0. Calculate the remainder when 41 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 6) + 13 - (-11)\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/((-306)\/(-85)) + 2\/(-1) + 86\/(-6).\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90443 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-20\/3))**6)**25 assuming i is positive.\nAnswer: i**(-1000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = 4*r - 100, 2*l = -1843*r + 1847*r + 20 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01816522 rounded to 4 dps?\nAnswer: -0.0182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -3 (b) -6\/7 (c) -6.1 (d) 0 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3 (c) 5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + m**3 + 59 - 54 + 0*m**3 + (-1 + m**2 + 1)*(-5 + 2*m + 5).\nAnswer: 3*m**3 + 2*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -10. Let q**3 - 120*q**2 + q**l - 3 + 124*q**2 - 2*q - q**4 = 0. What is q?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 3*u - 2*v - 741, -3*v + 6 = 0. Let c = u - -225. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 d when three letters picked without replacement from {d: 4, e: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/4 - 18\/12. Suppose 0*w - 18 = 2*w. Let h = 21 - w. Solve 2*a + 5*d + h = 7*a, 15 = g*a - 3*d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-9) - 1121\/(-3). Suppose -61 = -11*f - 6. Suppose -107 = -4*m + m + x, 4*m - 161 = f*x. Calculate the greatest common divisor of m and p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 + -73. Let q be 3\/(-1 - 10\/o). Suppose -b + 55 = -c, b - q*c - 55 = 3*c. Calculate the remainder when b is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -721.017482 rounded to the nearest 10?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 16. Let x be c(-18). Solve 2*g = 8 - x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 466306 - 25?\nAnswer: 466251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -44\/3, 0.23, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m - 14. Let r be l(8). Calculate the highest common factor of 646 and r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47247596 is divided by 1045?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297952005?\nAnswer: 5, 7, 37084343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*4\/8 - (-51 - 165). Calculate the highest common factor of 27 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, i: 5, d: 7, o: 3, p: 1}. Give prob of picking 1 i and 2 o.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*o - 20, 5*o - 4 = 3*o - q. Suppose g + o*g = 3. Suppose 39 + 23 = 31*p. Solve -a + z + g = 2, -z = -p*a - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - g - 59 - 83, 0 = -3*z + g - 110. Let w be 4\/(-18) - 224\/z. Solve q - w*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + (3*((-2*(0 + sqrt(1152)) - 2*(sqrt(1152) + -1)) + 1))**2).\nAnswer: -663860 + 20736*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(2\/18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -98836.262 rounded to the nearest one thousand?\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, i: 6, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -71*k + 135*k - 2 - 70*k. Give n(-12).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 89*s**2 + 125*s + 2763. Determine t(-90).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g + 145 = 2*y, -5*g - 5*y = 740. Let z be g\/(-63)*(1 - (-158)\/(-154)). Sort -4, 0, 1\/4, z in descending order.\nAnswer: 1\/4, 0, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Suppose -3*x + 45 = -4*w, 5*w + 47 = v*x + 4*w. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -7) + (-164 - -150).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.27 - -5.27. Which is the second biggest value? (a) h (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12243800 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 55442.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20063567.\nAnswer: 23, 131, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1100) + sqrt(1100) + sqrt(1100) + (1 + sqrt(1100) - sqrt(1100)))**2.\nAnswer: 300*sqrt(11) + 49505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40 - -14?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -34.4. Let l = 0.6 + d. Which is the third biggest value? (a) 0.2 (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2349 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p**2 + 86*p - 44. Give v(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 5*b - 1. Let a be z(4). Suppose a*d = -0*d + 12. Suppose 4*g = 30 - 14. Calculate the highest common factor of g and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298014 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + p - 2 = 0, 1 = -3*y - 3*p - p. Let c be (-30)\/8 - y\/4. Let b be (-16 + 16)\/((7 + 12\/(-2))\/(-1)). Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 15071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.09 - -1.49. Which is the nearest to 0.1? (a) -0.4 (b) k (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 488236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 115387376 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -10. Suppose 3*c = -0*c - 2*n + 13, g*c = -4*n + 25. Suppose -u = -18 + c. 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 next in 177521, 177706, 177993, 178382?\nAnswer: 178873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -332\/222399?\nAnswer: -332\/222399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 148950731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25257 + 12817 + 14006)*(-5*b**3 + 2*b**3 + 4*b**3) to the form n*b**2 + w + r*b**3 + u*b and give r.\nAnswer: 1566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 611071 (base 11) in base 5?\nAnswer: 222413411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x - 28. Let k = 6 - x. Let c(b) = -2*b**2 - 3*b - b**2 + 2*b + 2*b**2. Let p(o) = -4*o**2 - 7*o - 1. Determine k*p(a) + 5*c(a).\nAnswer: -a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -431 - 16. Let d = -427 - f. Solve 17 = 4*g + s, -d = -g - 0*s + 5*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/9619 - -413923\/981138. Find the common denominator of a and -97\/238.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**4\/3 - 43201*s**3\/3 + 115187*s**2 - 734291*s\/3 + 431930\/3 = 0.\nAnswer: 1, 2, 5, 43193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38747 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -107 or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39*110\/6006*42\/(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 1330\/(-80) + (-6)\/16\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**5\/20 + 4*s**4\/3 - 7*s**3\/3 - 15*s**2\/2 + 19*s. Let c be n(15). Is 134 + c - (0 + 0)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72717 is divided by 360?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 687.5267 kilograms?\nAnswer: 687526700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -26, -36, -38, -26, 6, 64?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 2*h + 1267. Is m(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3289 - 685 = -84*w for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 591*w + 17173*w + 5.\nAnswer: 17764*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -9006 - 6321 - 2*x + 13177 in the form q + z*x and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 0.9362713837221\nAnswer: 5.0637286162779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-5)\/((-60)\/36)). What is the third biggest value in 3, -69, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15147306 divided by -59?\nAnswer: 256734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + 3*u - 5. Let l be k(2). Let i be (-3 - -1)\/(l\/(180\/8)). Which is greater: -7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -202 - 1?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eff when three letters picked without replacement from {f: 2, e: 2, r: 2, j: 3}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 92, 185, 322, 503, 728?\nAnswer: 997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 296 + q**2 - 296. Let g(u) = 22*u**2. Calculate l(g(h)).\nAnswer: 484*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/3 + 70*x**3\/3 + 128*x**2 + 632*x\/3 + 320\/3 = 0. Calculate x.\nAnswer: -2, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + (-6)\/4)*-3. Suppose -27*u + 6 = 5*j - 26*u, -3*j = -u - 2. Let v = 6 + -8. What is the closest to j in -4, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7102009 a multiple of 744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 10 - 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 1, -5*d + 15 = -0*v + 2*v. Suppose 5 = v*s - 0. Solve -5 = 2*x + s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1969*z = -2027*z + 174. Factor -51\/8*f - 15\/4*f**2 - 3\/8*f**z - 3.\nAnswer: -3*(f + 1)**2*(f + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 13) to base 15.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5\/6, 24, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13331.99999960867 + -13332. Round j to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -139753164\/3335 - -41905. Calculate the common denominator of i and 98\/1305.\nAnswer: 30015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-11\/4))\/v)\/(v*v\/(v*v*(v*(v**(-32)\/v)\/v)\/v*v)) assuming v is positive.\nAnswer: v**(-117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1760664 (base 8) to base 2\nAnswer: 1111110000110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 132*n. Let m(i) = 2*i**2. Determine v(m(z)).\nAnswer: 264*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*y = -41*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -237 + 258 + (12 - -1)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**6\/270 + p**5\/90 + 4*p**3\/3 + 15*p**2. Let t(g) be the first derivative of c(g). Let t(x) = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 97*r - 311. Let b(x) = 391*x - 1245. Let f(o) = -2*b(o) + 9*d(o). Differentiate f(l) wrt l.\nAnswer: 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-60)\/27 - 155241\/29727. Let f be 1\/1*5*1. Let w(y) = -3*y + y - y**3 + 0*y - 1 - f*y**2. Give w(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 11:06 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(132)\/(sqrt(12) + (sqrt(84)\/sqrt(7) - sqrt(12))) - sqrt(11)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1623 - -1823. What is o rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 225 = -5*a, -18 = 4*q + 2. Suppose 10 = -t + a. Suppose -4*g - 3*r + 24 = 0, 2*g + 4*r + 18 = t. What is the remainder when 5 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 623 - 33*u**4 + 1714*u**4 + 750*u**4 with respect to u.\nAnswer: 9724*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -64, -4, 1, 0, 13 in decreasing order.\nAnswer: 13, 1, 0, -3, -4, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyqd when four letters picked without replacement from {d: 3, g: 4, q: 2, y: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -206634.\nAnswer: -1\/68878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(20)\/sqrt(10)*-4 - (sqrt(84)\/sqrt(6))\/sqrt(7))*3.\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 - 3 - -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -20*u + 20. Suppose -15*y + 20 = -5*y. Let d(i) = 7*i - 6. Let z(f) = y*p(f) + 7*d(f). Determine z(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 329, 632, 933, 1232, 1529, 1824?\n\"Answer: -a**2 + 306*a + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-16))\/(g*(g*g**(-1))\/g))**(-21)*g**(5\/6)*g\/g**(-1\/5)*((g\/g**8)\/g*g)\/(g**(-1\/3)*g) assuming g is positive.\nAnswer: g**(-10879\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-2 - (-55)\/(-10))\/((-5)\/40) and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.95 and -1442709.\nAnswer: -1442711.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i = 3*i. Is i at least 5\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2359541245395 and -0.027.\nAnswer: -2359541245395.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-7) + 4080\/(-10080).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + 0 + (-3*sqrt(117)*1 + -2)*1)*-5)**2.\nAnswer: -900*sqrt(13) + 26425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 922 or 923?\nAnswer: 922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-133 + 1\/1)\/((-273)\/(-182)). Which is smaller: -606\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14503, 58015, 130543, 232093, 362671, 522283, 710935, 928633?\n\"Answer: m**3 + 14502*m**2 - m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f - 384. Let p be m(54). Is p less than -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(1144\/273)*3\/3*2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-12) + (-22163)\/(-148). Let a be (-28)\/6 - 2\/6. Let u be (-6)\/a*f\/60. Solve -k - n = k - 2, -n = u*k - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1873478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46734 and 280404.\nAnswer: 280404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3304185.\nAnswer: 3, 5, 220279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzzz when four letters picked without replacement from mzmmpmpzzpmpzppp?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(2))\/sqrt(9).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-8)*(-45)\/((-1170)\/208)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*c - 149 = -374. Solve 4*u + 10 = 7*d - 5*d, -c = -d + 3*u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4108617626?\nAnswer: 2, 41, 50105093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/15, -9, 4\/55, 3, -3, -2\/17, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70 + s + 41 - 17*s**2 - s + 4*s - s wrt s.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q**3 + 7*q**2 + 1. Suppose 4*n - 35 = -5*u, 3*u - 5*n = -2 - 14. Let j(o) = -24*o**3 + 29*o**3 + 1 + 2 - 2 + 4*o**2. Calculate u*l(m) - 5*j(m).\nAnswer: 2*m**3 + m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -i - 32. Let z be 10\/(-3)*i\/10. What is the units digit of (-8)\/2*(-2)\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**2*v**4*v assuming v is positive.\nAnswer: v**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((2*sqrt(4455) + sqrt(4455))*2)\/(3*2*sqrt(396)))**2.\nAnswer: -15*sqrt(5) + 145\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -13 - (6 - 9)) + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a6134a (base 12) in base 5?\nAnswer: 1132134304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 894.722528428 - 819.72252829. Let q = i + -75. What is q rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/424, 5628, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.36. Let z = -0.56 - t. Let c be 2\/(-3)*(2 - 5). What is the third biggest value in -0.3, z, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -0.2, 3.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 117\/18 + 1\/2. Let x(h) = 8*h - 1. Let w be x(1). What is the highest common divisor of j and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1240\/18972*102*24\/(-2).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 9*m + 864. Give i(-97).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 14553128.1 to the nearest one thousand.\nAnswer: 14553000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 187149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*o - 128*o + 3429 = 0. Suppose -56*q + 481 + o = 0. Solve -31*k = -q*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 898? (a) 0.5 (b) -7 (c) 0 (d) 9 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + 11 + -8 + 95.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 27*h = -30*h + 7347, -2*h = -2*n + 3656. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65.86 + 66. Let d = 4 - 4.4. Let m = 1.2 + -4.2. Which is the smallest value? (a) d (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 688 = 11*w - 3*w. Let m = w + 4. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -401 (base 5) to base 3\nAnswer: -10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2068\/91 - 288\/13. Put f, 2\/9, -20, -0.4, 3 in descending order.\nAnswer: 3, f, 2\/9, -0.4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 145589?\nAnswer: 145596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-368)\/(-14) + 0 + 16\/(-56)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1.09.\nAnswer: -3.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(6\/(-16) - (-297)\/(-264)). Let i be s - 2 - (-7 + (-3)\/3). Solve 0 = -n - i*y - 15, y = -3*n + n - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -3*u - 40, -2*u = -2*k - 15129 + 15129 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -966 + 1356. Let l = -153 + f. Let t = -236.9893 + l. Round t to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 533001?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, w: 7, z: 2, x: 8}. Give prob of sequence cc.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/5 + 4*b**3 - 24*b**2\/5 - 144*b\/5.\nAnswer: -2*b*(b - 6)**2*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184496?\nAnswer: 2, 13, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 735388829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.9 (c) -2\/3 (d) 217 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/2 + 60*d**2 - 114*d.\nAnswer: -3*d*(d - 38)*(d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 8:35 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 480943, 480955, 480961, 480955, 480931?\nAnswer: 480883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 - 97. Let v(g) = -g**2 - 2 - 137*g - 2*g**2 - g**3 + 3 - g**3 + 139*g. Determine v(r).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 27*g**2 + 72*g + 67. Is x(24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154*(-810)\/(-2673)*(-1)\/2*3\/1?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55862 and 1218.\nAnswer: 34019958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 3)*(2 - 3 - 3)*(-2*b - 2 + 2)*(7 - 4 + 15) in the form w*b + a and give w.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5681, -45423, -153287, -363335, -709629, -1226231, -1947203?\nAnswer: -2906607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2. Let c be (-2*(-2)\/3)\/((-16)\/(-2894256)). Let x be (-95)\/(-25) - 4 - c\/(-15). Let w(s) = x - 16079 - s**2 - s. Give k(j) - 2*w(j).\nAnswer: -j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29976, 29891, 29798, 29703, 29612?\n\"Answer: l**3 - 10*l**2 - 62*l + 30047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 135*g**4\/4 + 30*g**3 + 10*g**2 - 13*g. What is y in u(y) = 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((138\/(-22))\/3 - -1)*(-443)\/(-1772)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/330044085 and 97\/235830?\nAnswer: 660088170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -506*u - 2076. What are the prime factors of r(-33)?\nAnswer: 2, 3, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1633570 by 131.\nAnswer: -12470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 14 = -1, o - 13 = 3*z. Let s(n) be the second derivative of 0*n**o + 0*n**3 + 0 + 1\/20*n**5 - 2*n**2 + n. Find the first derivative of s(a) wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7813.4 and -2.7?\nAnswer: -21096.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/194 and -77\/12?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-9))\/(64\/816). Solve -b + 62 = 9*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/19 + 18*m**2\/19 + 36*m\/19.\nAnswer: 2*m*(m + 3)*(m + 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*c**5 - 33*c**4*z + 3*c**2*z + 3*c*z - 10*c wrt c.\nAnswer: -1320*c**2 - 792*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1027 - -1032. Sort 0, 1, 7, f, -4.\nAnswer: -4, 0, 1, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.2 + 0.015\nAnswer: 10.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356715 is divided by 1388?\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 3*h - h**3 + (-3 + 3 - 1)*(2*h**3 - h**3 - 2*h**3) + 5*h**3 + 0*h**3 + 7*h**3.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41255, -41251, -41239, -41213, -41167, -41095, -40991?\nAnswer: -40849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/7 - 131034*g\/7 + 1965960\/7 = 0. Calculate g.\nAnswer: -65532, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Let k = 6 + -1. Let i(t) = 8*t**2 - t + t - k*t**2. Determine b(i(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvo when three letters picked without replacement from ojvwo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10*y**2 - y + 1. Let x(t) = -t**3 + 17*t**2 + 17*t + 19. Let r be x(18). What is w(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*v = 19, n = 4*v - 6 - 3. Let a = n + -12. What is the nearest to a in -4, 3\/7, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from {b: 1, e: 5, a: 8, v: 4}.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oos when three letters picked without replacement from {o: 14, c: 2, s: 1}.\nAnswer: 91\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f**2 - 3*f + 1. Let k be r(2). Round k to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 368962733?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgwgeggbwwe. What is prob of picking 1 b and 1 e?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2. Suppose 3*c - 4*p + 13 - 184 = 0, -5*c + 2*p = -271. Let n(d) = -c + 2*d + 53. Give a(n(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 172, 166, 150, 118, 64, -18?\n\"Answer: -g**3 + g**2 - 2*g + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627*i - 535*i + 57970 = 10328 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -1, -2, 1\/249, -6, -1\/4?\nAnswer: 1\/249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -2, -0.2, -0.0821?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a**3 + 16*a**3 - 53*a**3.\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 11:42 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/5 + 1\/10. Let x be (4\/(-66))\/((-3)\/9). Which is the nearest to -1\/4? (a) -2\/5 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.656754 millilitres to litres.\nAnswer: 0.005656754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/81 and -23\/326574?\nAnswer: 2939166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -20\/9, 0.1, 2\/21, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -2*y**5\/45 - y**4\/9 + 2*y**3\/9 + 4*y**2\/9 - 8*y\/9 + 109. Factor m(v).\nAnswer: -2*(v - 1)**2*(v + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -24. What is the hundreds digit of (6*(-35 + m) - 0)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35 and -54?\nAnswer: -1890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10908 - 10900. Solve -5*v + z = 23 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84744)\/(-1760) - 36)\/((-15)\/20)\nAnswer: -81\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-574)\/(-3)*6\/4. Suppose 5*o - z = -v, o + 3*o + v = 229. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366827.\nAnswer: 23, 41, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.6174762kg?\nAnswer: 617.4762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 11:23 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3021.9 + -3021.90088284. What is z rounded to six decimal places?\nAnswer: -0.000883","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a + 2. Let i(v) = 2*v + 3. Let p = 4847 + -4842. Determine p*x(r) - 4*i(r).\nAnswer: 7*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 - 87.03. Let o = v + -0.04. Let j = o + 0.07. Which is the biggest value? (a) 3\/2 (b) j (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -0*x - 3*x. Is 18 a factor of 3\/(-9) + x\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 9 - 16 = 0. Is b\/((-2)\/4*1) + 198 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 - (43 + 4)) + -21?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 66513\nAnswer: 13302.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/37 in 1\/5, 0.5, -5, -15.065, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 87*x**4 + 73*x**4 + x**4 + (-x + x + 2*x + 4*x - x - 5*x + (5*x + 0*x - 6*x)*(3 - 3 + 2) - 5*x + 3*x + 0*x)*(4*x**3 - 2*x**3 - 4*x**3)*(0 - 1 + 2).\nAnswer: 169*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2150)\/(-18275)*1\/(-2)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1.8, 41\/10, -25 in ascending order.\nAnswer: -25, -11, -1.8, 41\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, l: 5, z: 3}. Give prob of sequence lalz.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*a**2 + 33*a**2 - 80*a**2)*(0*a**2 + 0*a**2 + 6*a**2) + 4*a**4 - 5*a**4 + 2*a**4 in the form n*a**2 + b + l*a**4 + q*a**3 + o*a and give l.\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6127742323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(9\/(-8))*(-6)\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 247*n**2 - 83212*n - 9103. What is r(337)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 29 = 39. Let d be 1\/f + 300\/(-408). Put d, 1, 2, 1\/4 in descending order.\nAnswer: 2, 1, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -260.6211 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 51\/(-170)*(-5)\/(-1)*-1. Let c = -0.2 - -0.3. Is g smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(18))\/(sqrt(48)\/(-2*sqrt(8))) - (-1*sqrt(77)*1)\/(sqrt(44)\/sqrt(4)*-4 - sqrt(11)).\nAnswer: -13*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: 111232 (base 4) to base 15\nAnswer: 62a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 - 23*n**2 - 67*n - 11. Give t(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-5))\/(11\/(-55)). Suppose 0 = 4*t + 4*o - 16, -u*t - 2*o + 7 = -5. Suppose 4*a + 2*c - 70 = 0, 2*c = 3*a + t - 60. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -781862 to the nearest 1000.\nAnswer: -782000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - (-3*(-8)\/(-12) + -1). Sort 0, x, -2, -1.\nAnswer: x, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74456 and 1935856?\nAnswer: 1935856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29\/17 - 3 - -1. Let u = z - 65\/68. Do u and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4 = -4*g, -7418*r + 7427*r + 2*g = 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*q + 336, 2*s - 66 = -q + 4. List the prime factors of q.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0*l**3 - 3\/50*l**5 + 0 - 1\/105*l**7 + 0*l**2 + 1\/25*l**6 + 1\/30*l**4 + 4*l. Suppose c(q) = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*p**3 - 45*p + 4*p**3 + 11*p**3 + 55*p**4 wrt p?\nAnswer: 660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.11, -5, 0.243, -17?\nAnswer: 0.243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42)\/(2*(-3)\/4). Suppose 3*i - 20 = -3*u + d, 2*i - 26 = u. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 39.397 decades?\nAnswer: 4727.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**5\/30 + 2*x**2 + 147*x - 3. Let t(a) = 1597*a. What is u(t(c))?\nAnswer: -5100818*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 2003541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - q - 45 - 78, 3*q = -r + 21. Solve 0 = -r*k + 41*k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -342 + 802. Let n be 2\/4 - 5*x\/(-8). Calculate the greatest common divisor of 36 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 10*s - 25. Let w be t(-11). Let k(u) = -6670*u**3 - 14*u**2 - 17*u + 26. Let d be k(w). What is d rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24643 + -22390.3. Let o = 2254 - z. Let q = -14\/11 - -45\/44. What is the second biggest value in q, -1\/7, -2\/7, o?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 5)*(93 - 35*y**3 + 33*y**3 - 860) as g*y**2 + d*y**3 + u*y + c and give c.\nAnswer: -3068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.9? (a) -0.07 (b) 0 (c) 0.4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1003269293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221736890 and 1228?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/16, -0.2, 1 in increasing order.\nAnswer: -2, -0.2, -1\/16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 14*c - 58 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 654354 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 3*d**2 + d - 88. Let o(v) = v**2 - v. Calculate 3*o(a) + t(a).\nAnswer: 2*a**3 - 2*a - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2155675 + 338?\nAnswer: 2156124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8213285?\nAnswer: 5, 1642657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 15231.\nAnswer: 106617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 4 + 5 + 19*r**2 - 15*r**2)*(14 - 14 + 4*r).\nAnswer: 16*r**3 + 4*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 5*j + 169, -1328 = -27*w - 356 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73032437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(19) - (sqrt(19) - (sqrt(19) - (2 + 1*sqrt(19) + sqrt(19)))) - -1*sqrt(1539)))**2.\nAnswer: -800*sqrt(19) + 30500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 493*j = 540*j. Let b(u) be the first derivative of 6*u**2 - 14\/3*u**3 + 16 + j*u. What is the second derivative of b(t) wrt t?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-13)\/(-78))\/((-5)\/(-30)). Is 11\/13 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -50*m**3 + 39*m**2 - 14*m - 95. What are the prime factors of n(-7)?\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 486\/11. Let l = 57 + -14. Let f = l - 171\/4. Which is the nearest to k? (a) -0.2 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 7:50 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-13))**(-9))**(-11\/4) assuming o is positive.\nAnswer: o**(-1287\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -53. Calculate the highest common factor of 12 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(22)\/sqrt(2)) - ((1*(sqrt(13) + -1))**2 + sqrt(13))) + 0 + ((sqrt(143)\/(-2*sqrt(275)))**2 - ((sqrt(468) + 0)*-3)**2).\nAnswer: -422587\/100 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60446114.\nAnswer: 2, 30223057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 10*o**2 + 3*o + 3. Let u(k) = k**3 + 10*k**2 + 4*k + 4. Let m(x) = -4*r(x) + 3*u(x). Find the third derivative of m(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.893 rounded to 1 dp?\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 439, 440, 443, 448?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-30)*(7 - (-3 + 0)). Suppose 0 = 19*r - 17*r + 4, 4*n - x*r - 46 = 0. Calculate the remainder when 683 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 4*h + 2. Let d(b) = b**3 - 7*b**2 + 7*b - 3. Let w be d(6). Let z be x(w). Is (-4 - z)*-1 + 15 + 2 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1232323054?\nAnswer: 2, 79, 7799513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 936 and 360.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951 is divided by 772?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 - 4*x - 1. Let j be 1*-3*1\/1. Calculate r(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -2*c + 0*c**2 - 1\/3*c**3 + 1\/42*c**7 + 0 + 0*c**4 + 0*c**5 + 0*c**6. Find the second derivative of k(t) wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 37*s + 50. What is the hundreds digit of b(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2331*r + 32340 = -4639*r + 2616*r for r.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 54.6, -27, -11, -76?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-3*m + 0*m + 2*m + (-4*m - 2*m + 5*m)*(-3 + 0 + 0) - 8*m + 3*m - 15*m).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-105)*874 - -25\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1770, -3727, -5684?\nAnswer: -7641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(280) + -1*sqrt(280)))\/(sqrt(7)*-1*-5 + sqrt(7)))\/(sqrt(24)\/(sqrt(6)\/sqrt(2)*6)*-6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1, 0, 2, -1\/12.\nAnswer: -1\/3, -1\/12, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12151 (base 14) to base 8.\nAnswer: 126213","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 2963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 17*y + 14. Let r(o) = 6*o + 5. Let t(w) = 11*r(w) - 4*u(w). Calculate the remainder when t(-6) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + sqrt(304) + sqrt(304)*4).\nAnswer: -20 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 97.\nAnswer: 39\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (0 - 2) - (1305 + -1246)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743 is divided by 188.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - (-19 - (-17 - 4)) - (-88 + 10)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w. Let n(p) be the first derivative of p**2 - 96*p - 637. Give i(n(m)).\nAnswer: 8*m - 384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -991 and -991 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 37920*d - 343. Is g(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -9*s**5\/10 + 5*s**4\/3 + 18*s. Find the third derivative of u(b) wrt b.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 495*w - 492*w - 75 = 0, -18*m - 2*w = -226 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k + 3. Let a be u(4). What is the highest common factor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/17760 and -43\/8880.\nAnswer: 17760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2876609345?\nAnswer: 5, 251, 2292119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:00 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -1\/315*s**7 + 0 + 1\/90*s**5 + s**2 - 1\/504*s**8 + 1\/180*s**6 + 0*s + 0*s**4 + 0*s**3. Find j, given that x(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25918323 to the power of 1\/2, to the nearest integer?\nAnswer: 5091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -898 (base 12) to base 16.\nAnswer: -4f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103 + 124. Suppose -45*q + 48*q = s. What is the greatest common divisor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.031 + -9.069. Let g = -9 - j. Suppose 24 + 11 = -5*a. Which is smaller: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -7) + 2 + -14 + (-7 - -5 - -9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 5)*(-716 + 4110 + 403 - l) - 2*l - l + l + 2.\nAnswer: 2*l - 15186","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4082628 divided by 1.\nAnswer: -4082628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvvqhq. What is prob of picking 2 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54497 * 32.\nAnswer: -1743904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 1699*n**6\/60 + 1082*n**4\/3 + 6480*n**2. What is the second derivative of q(w) wrt w?\nAnswer: 20388*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 16) to base 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*n**3*x**3 - n**3*x + 572*x**3 - 206096*x**2 wrt x?\nAnswer: -336*n**3 + 3432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2690 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 8 = -3*q, 2*l + 2*q = -8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 1. Let r(k) = -5*k + 58. Let t be r(16). Let b(w) = -w**2 + 11*w - 10. What is t*s(h) + 2*b(h)?\nAnswer: -2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1736447304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 15 (c) 5 (d) -160 (e) 0.5 (f) 0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*o - 54*o - 4 + 9 - 77*o in the form t*o + z and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*g = -112*g + 3660. What is the hundreds digit of (5 - g\/(-15))*6\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**1)**(-21)*i\/(i*i**(-3\/5))*i*i*i**(-2\/7)*i*(i**(-1)\/i)**46\/(i**3*i*i\/(i\/i**1)) assuming i is positive.\nAnswer: i**(-4749\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 + 12*o**2 - 3*o + 6. Let i be f(6). Let z be (3 - 704\/i) + (-2)\/(-6). Calculate the highest common factor of 93 and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4003 - 0.15?\nAnswer: -4003.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(19 + 40)\/59?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a microsecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**5\/5 + 226*b**4\/5 - 194*b**3\/5 - 3314*b**2\/5 - 5132*b\/5 - 448 = 0.\nAnswer: -2, -1, 5, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 56. Which is the second biggest value? (a) -7 (b) 2\/11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -333, -749, -1167, -1587, -2009, -2433, -2859?\n\"Answer: -d**2 - 413*d + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3\/7 - 816*q**2\/7 + 16500*q\/7 + 2875000\/7.\nAnswer: 4*(q - 125)**2*(q + 46)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/30)*x**2)\/((x*x**(-1\/28))\/(x*x**(-1\/20))) assuming x is positive.\nAnswer: x**(317\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 4 - 4)*(-3 + 6 - 4)*(0 - 3 + 0).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*i - 5. Suppose -2*p = -3*w - 25, -p + i = -4*w - 2. What is the highest common divisor of p and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 7*g + 2. Let a = -4 - 3. Let p be o(a). Suppose -4*c + 183 = -c + 3*d, -d + 127 = p*c. What is the remainder when c is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164492 and 1190148?\nAnswer: 20232516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5565851 to the power of 1\/2, to the nearest integer?\nAnswer: 2359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 148959*b**2*o - 2*b**2 + 475*b*o + 2*o + 2411394 wrt b.\nAnswer: 297918*b*o - 4*b + 475*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42048 by -6.\nAnswer: -7008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*a = -7*x + 53, -4*a + 12 = 0. Suppose 3*i - 8*i + 2*p + x = 0, p - 22 = -4*i. Calculate the remainder when i is divided by 4 - (-1 - (0 + -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/3 + 744376*v\/3 - 69261953672\/3 = 0. What is v?\nAnswer: 186094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -7.3. Let k = 0.5 - h. Is k <= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/2050 and -13\/1189.\nAnswer: 59450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-10) + 1222\/180 and -15 + (8 - -14) - 254\/36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 168393687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, -20067, 1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-73)\/(-110) + 0 + 0\/(-6) and -56\/33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 8 + 8)*(0*h + h + 0*h)*(3 - 12 - 9).\nAnswer: -162*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1098\/30 + (-13)\/5. Solve 3*h - 7 = -2*d, -t*h + 29*h = 3*d - 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 771400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 8. Suppose 0*i + 4*i + 16 = 4*m, 5*i = 3*m - 8. Let b = m - g. Solve 4*p + b = 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -10*d - 16. Let q be n(-5). Suppose -7*u = 6 - q. Let f(l) = -l**3 - 2*l**2 - 2*l + 1. Let o be f(-2). Solve j = o*j + u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 12*s + 6. Let d be (-4)\/42 - (7345\/273 - 15). Determine g(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -746 + 762. Solve 11*z - 25 = r*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -37. Suppose -37*j = -f*j + 12. Let d(c) = -c**2 - 5*c + 3. Calculate d(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a factor of 5492074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.0768 + -6625\nAnswer: -6624.9232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 14*k - 33*k + 15*k + 13*k. Let c(m) = 6*m. Let a(n) = -7*c(n) + 5*f(n). Let s(w) = 4*w. What is a(s(v))?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -21*v + 8. Let z(j) = -272*j + 102. Let w(k) = 51*y(k) - 4*z(k). Let p(h) = 26*h. Give -5*p(o) + 7*w(o).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i**3 + i**2 + i + 1. Let a be f(-1). Let x(o) = 9*o - 2*o**2 + 7*o - 3*o. What is the units digit of x(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33599?\nAnswer: 33599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*r + 44*r + 57 = 0. What is the hundreds digit of (12\/(-12))\/(r\/(-1119))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s**2 + 5*s - 3. Determine v(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 469.34 rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4229675 a multiple of 367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5512, 11140, 16770, 22402, 28036, 33672, 39310?\n\"Answer: u**2 + 5625*u - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20 times 0.11\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2124 - 6289789733.\nAnswer: -6289789732.7876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-37 - (-56 + 6) - (1 - 27)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 = -3*p - 272. Let m = p - -139. List the prime factors of ((-4)\/6)\/(6\/m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 28*f - 40. Let p be a(-36). Is 248 != p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57 - 159 - 19 + 1860*o + 13 - 1850*o to m*o + w and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487141810?\nAnswer: 2, 5, 48714181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*x + i, -2*i - 1 = -2*x + 13. Let o be 26\/91 - (-134)\/7*x. Calculate the greatest common factor of o and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3538627 - -825069.8.\nAnswer: 4363696.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/3 - 56*k**4 - 448*k**3\/3 + 1028*k**2 + 150*k - 972 = 0.\nAnswer: -81, -6, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microsecond in nanoseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*s**4 + 395532*s**3 + 45*s**2 - 7336*s?\nAnswer: 1680*s + 2373192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*700\/(-14))\/2.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38357278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-1 - 36\/(-8)). Suppose 5*x - z = 3*u - 28, 3*u + 2*x = 0. Solve -4*y = -u*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**4 + 12*k**3 - 38*k**2 + 12*k + 63 = 0.\nAnswer: -1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 223 + -217. What is the hundreds digit of 4\/h*(-7077)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -5*g - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-821 - 170 - 19*k + 21*k)*(-5*k**3 + 0*k**3 - 2*k**3).\nAnswer: -14*k**4 + 6937*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 13. Let d be n(15). Suppose 5*f + 4 = -2*o, d*o + 3*f = -0*o. Solve 2*q - 5*j - 18 = 0, 5*j = -3*q + o - 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 16 = 2*a - a, 8 = -5*a + h. Let c be ((-384)\/(-18))\/(a\/525000). Round c to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*u - 13, 0*u + 3 = -i + 3*u. Let d(q) = -q + 1. Let c be d(3). Calculate the remainder when (0 - c) + 8 + -3 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 6*t**2 + 4*t - 3. Let f be g(7). Suppose 5*n + 16 = -f. Let j = -11 - n. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7750 or -7751?\nAnswer: -7750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*c + 3*f + 90, c - 57 = -3*f. Calculate the highest common factor of c and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 69, 148, 225, 300?\n\"Answer: -q**2 + 82*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-108 - -6) + -13)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -299 + 19 - 33*n**2 + 701*n - 44 + 81*n + 121*n.\nAnswer: -3*(n - 27)*(11*n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42012 - -89430.\nAnswer: 131442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 346917372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.7625873 rounded to one decimal place?\nAnswer: 25.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 57*w - 392. Let x be d(47). Which is smaller: 76 or x?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2627, 2624, 2621?\n\"Answer: -3*c + 2630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (2 - 5) - -91 - (3 + -29 - -29).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3611116 (base 8) to base 2\nAnswer: 11110001001001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 2*t**2 - 3. Let k(f) = 5*f**2 - 33*f - 137. Let u(g) = g**2 + 1. Let x(n) = -k(n) + 6*u(n). Let z be x(-28). Calculate l(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-3)\/(3\/(-5)). Suppose -3*w + 2*t = -16, 0 = c*w - 4*t - 0 - 24. Find the third derivative of 9*x**w + 3*x**2 - 11*x**4 + 7*x**4 wrt x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -4 - (-7 + 4)) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 - 493 = -71*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 77 = -221 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215 and 685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + m = 1, m - 3 = -4*q - 2. Suppose q = -j + 2*j - 3. Suppose -140 = -2*u - j*u. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**3 - 14*c**3 + 9 + 13 + 0 wrt c?\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -180 + 909\/5. Suppose 3*m + m - 8 = 0. Put w, 2\/11, m in descending order.\nAnswer: m, w, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 2)\/((-3)\/(-39)). Let t = -8 - g. What is the highest common divisor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 570 = 15*b. Calculate the least common multiple of 7 and b.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 104 - 3*l + 1\/2*l**2. Let x be (-18)\/(-4)*4\/3. Determine c(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/6 - 1)\/((-5)\/60). Let a(u) = -u**2 - 22*u - 87. What is the remainder when 51 is divided by a(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3982485 divided by 6.\nAnswer: -1327495\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**2. Let f(k) = -k**3 - 7*k**2 + 2. Let v be f(-7). Let w(d) = -13*d**2 + 11*d**v + 5*d**2. What is c(w(s))?\nAnswer: -45*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.4, 4, 1\/9, -5, -6\/139?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 e when four letters picked without replacement from eeiieiieereeieeeee.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133*d + 132*d + 2*v + 2, -5*d - v = 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = r + 171, -2*r + 165 = 4*s - r. Suppose 3*w = 2*u - 11 - s, 2*u - 2*w - 50 = 0. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 828501, 828553, 828605, 828657, 828709?\n\"Answer: 52*v + 828449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 (base 7) in base 9?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 180481411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/7 (b) -3 (c) 33 (d) 42.4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 14 + -7 - (-2 + -4 - 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 563 in -1\/5, 5.41, 0?\nAnswer: 5.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1188292*f - 1188165*f - 10033 for f.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m - 1. Let l be v(3). Suppose -2*u - l = -s, 5*s = -u + 6*u + 30. Let i(k) = -k**3 - k**2 + 4 - 1 + 2 - 3. Calculate i(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1 - -3)*(22 + -23). Let o(d) = 6*d - 1. Give o(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 580\/6*(-1 - 854\/(-35))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 90, -2749, 0.99?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 11*b - 28. Calculate the remainder when 1618 is divided by s(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2188743.\nAnswer: 3, 19, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 6\/(-3))\/(-2). Suppose -l - 5*j + 37 = l, -3*l - 2*j + 28 = t. Calculate the least common multiple of l and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1185 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 645, 1100, 1555, 2010?\n\"Answer: 455*q + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2161.289kg?\nAnswer: 2161289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 9*d - 8. Let j(f) = -32 - 33 - 29 + 86 + 9. Calculate 6*j(z) + m(z).\nAnswer: 9*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2100 is divided by 58.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 5*j - 2*t - t + 3*t - 72, -5*j - 890 = 70*t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 4*f - 1. Let j be z(4). Let h(n) = -j*n - 17 + 16 + 4*n. Is h(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 302, 306, 312, 320, 330, 342?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-20) - (-64)\/10. Suppose 5 = 2*y + 1. Calculate the highest common divisor of c and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -301*n**5 + 331*n**4 - 3*n**2 - 3466*n wrt n.\nAnswer: -18060*n**2 + 7944*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -0.075\nAnswer: 0.00525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3289 from 401.\nAnswer: 400.6711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cb05 + -8?\nAnswer: cadb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-9)*3\/12.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -1. Let g be (-4)\/6*6\/i. Which is the nearest to -0.3? (a) g (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 270779 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 2. Let q be v(-7). Which is smaller: q or 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(228) + 5*sqrt(228))*-4)\/((-2*sqrt(9)*-3 + sqrt(9))\/(2*sqrt(3)*-1)).\nAnswer: 480*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 2:18 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7425)\/(-660))\/(((-325)\/416)\/(-5)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 9. Let q be z(2). Which is the second smallest value? (a) -3 (b) q (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2622 times -0.07?\nAnswer: -183.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 37*x**3 - 10*x**2 - 33*x + 1810. Let y(n) = -48*n**3 + 13*n**2 + 44*n - 2413. What is -13*b(t) - 10*y(t)?\nAnswer: -t**3 - 11*t + 600","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 227*g - 8184. Determine k(36).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 - -28) + 17 + 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59.93 - -62.93. Which is the nearest to -1? (a) 2 (b) 15 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*42\/392*4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 4*t + 1. Let o be v(3). Suppose 24*m = -o*m + 448. Solve -11 = -y - m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 - (89 - (44 + -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pasppiasp. Give prob of sequence sps.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r + 8*r - 932 + 8*r + 4*r.\nAnswer: 6*r - 932","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 10 + -12 + (3 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5954 times 1.354?\nAnswer: 8.9301716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a**3 + 20*a**2 + 22*a - 25. Let r(i) = -6*i**3 + 10*i**2 + 11*i - 13. Let s(y) = 5*q(y) - 9*r(y). Calculate s(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.0162 to 2 dps.\nAnswer: 3.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -30, -3\/5, -32\/15?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 12. Let s(p) = -3*p**2 - 6*p. Let v be s(-2). Suppose v = 2*j - 2*k + 18, -4*j + 5*k + 7 = 48. Calculate n(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4114187 rounded to two dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0030990983 to five dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29112 - 27065. Calculate the remainder when z is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f*f**(1\/13)\/f*f))\/f*f\/(f*f\/(f**(-7)*f)))\/((((f**(2\/25)*f)\/f)\/f)\/(f*f**(-2\/19))))\/(((f*f**5)\/f)\/(f\/(f*f**(2\/31))))**34 assuming f is positive.\nAnswer: f**(-33969464\/191425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 + 93.5. Let b = 0.56 + -7.96. Let t = b + 7. Sort -1, t, o in decreasing order.\nAnswer: t, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -a78?\nAnswer: a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 10:58 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 7:19 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = 99 - 499. Let l = z + -35. Suppose 9 = -3*u + l. Solve u*b = -b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000045342 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 24. Suppose -771 = -k*h + 6*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 4*l + 5. Let j(q) = q + 7. Let z be j(-5). Let r be -10*(3\/z - 2). Let i be m(r). Solve 3*g - 3*v = i, 3 = -4*g + 3*v - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49514274503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 5:06 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-8)\/(-36)*2. Which is the third biggest value? (a) y (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 111*a**2 + 31*a + 3463. Calculate g(-111).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 + 4*m - 623. Calculate a(-18).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34532 and 1246.\nAnswer: 241724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.052 - -0.052. Let n = 9 - w. Let m = 28 - n. Which is the closest to 0.1? (a) -0.5 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30558 or -336144\/11?\nAnswer: -30558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**3 + 10659*g - 10659*g.\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201173355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*q + 202*q = 186*q + 17999 for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*o - 7. Let q = o - 5. Suppose -t - 51 = -2*u, -2*u - q*u + 4*t = -100. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10633\/4 or 2658?\nAnswer: 10633\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 302*r**3 + 27*r + 458?\nAnswer: 906*r**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -403292, -403210, -403128, -403046, -402964, -402882?\n\"Answer: 82*p - 403374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/3468 and -107\/179826.\nAnswer: 6114084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*r = -26, -29 = -4*i - 6*r + 5*r. Suppose 5*a + i*a = 96. Calculate the least common multiple of 30 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*h**3*p**3 - 2*h**2*p**3 + h*p**3 + 82*h*p**2 wrt h?\nAnswer: -900*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 254*0.3\nAnswer: 76.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -639 + 5*o**2 - 2*o**2 + 78*o + 323 + 318 to a*o**2 + h + p*o and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59769427.\nAnswer: 67, 691, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.81 + -1.11. Which is the biggest value? (a) z (b) -0.5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -722940 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4830 and 660.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssrrrrrrrsssrr. What is prob of sequence rr?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2728706713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5521132 greater than -5521133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (1 + 0) - (-83 + 77) - -7.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 smaller than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -10 (c) -1108 (d) 1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*w + 1 = -93*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(132)*-2 - sqrt(132))*2*-4)\/(sqrt(1200) - sqrt(1200)*1*-2 - 2*sqrt(1200)*-2).\nAnswer: -12*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h = -5*h - 188 - 10 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -19\/3*m**3 + 0*m - 30 + m**2. Find x such that u(x) = 0.\nAnswer: 0, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112430 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21111025 - -2?\nAnswer: 21111031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 63\/12 + (-4)\/16. What is the third derivative of 2*k**c + 0*k**5 - 6*k**2 + 12*k**2 wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x + 12. Let a(g) = 3*g - 13. Let q = 1581 + -1576. Calculate q*s(b) + 4*a(b).\nAnswer: 2*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - ((1265\/(-138))\/55 - (-47)\/39))*-2?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17257061 < -17257051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + (sqrt(17) - 5*sqrt(17))**2.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4720 and 40?\nAnswer: 4720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*u - 4*b = -56*u - 4, 5*u + 10 = -5*b. Solve -8\/3 + 14\/9*v**u - 10\/3*v**3 + 10\/9*v**2 - 2\/9*v**5 + 32\/9*v = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 12 - 3 - 4*z - 7. Suppose f + 6 = 2. Let t be y(f). Calculate the highest common factor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84346862?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*d + 48, 0*d + 5*i = 4*d - 110. Suppose 3*n + d = 7*n + 3*r, -3*n - 2*r = -20. Let f(x) = 3*x - 9. Calculate f(n).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20699 is divided by 1201.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -0.3217966?\nAnswer: 0.0782034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7796201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h - 1. Let u be x(5). Suppose -4 = s - u. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d - 21. Let b = -13 + 15. Let f(y) = 0 + b*y - 3*y + 4. Let x(v) = 21*f(v) + 4*z(v). Let k(m) = -m**2. Calculate k(x(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 156653*r**2 + 26*r + 4293350?\nAnswer: 313306*r + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -413*t - 17738. What is z(-43)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (390\/(-331695)*-189)\/(3\/9*-10)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h - 11. Suppose -16*q + 22 = -74. Let g(p) = -p - 4. What is q*m(b) - 17*g(b)?\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3*r - 1 + 9 = 0, 5*i + 4*r = 29 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 749910 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 + 218\/3. Let p(y) = -y**3 + 5*y**2 - 6. Let z be p(5). Let d = -37.3 + 37.3. Which is the smallest value? (a) i (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1342*x**2. Let h(z) = -12*z**2. Calculate u(h(g)).\nAnswer: -193248*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -1\/6 (c) 5 (d) 527\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Suppose -4*z + 18 - d = 0. Let h = 10 - 6. Solve -h*k - 3 = 3*w, z*k + 12 = 5*w + 5*k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1069 divide 8166091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, z: 6}. What is prob of picking 4 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*t**3 + 105*t**3 + 91*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/1483 + -2975\/13347. Is n smaller than -3\/323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*g + 86*g = 2673. What is the least common multiple of g and 81?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 4*l**3 + 5*l**3)*(-2 + 2 + 1 - 2 - 2 + 5 + (2 - 1 + 0)*(1 + 5 - 4) + 5 + 0 - 4 + 4 - 6 + 0).\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 8 + 18*c - 10*c**2 + 9*c**2 to u + q*c + x*c**2 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 11 - 6 + 698*b.\nAnswer: 698*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 11 - 127. Let z = p + -56. Suppose -5*v + 0*w + 485 = z*w, 0 = -2*v + 5*w + 223. Calculate the remainder when v is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, 4.8, -2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-19))\/(54\/6*34\/(-918))\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 2. Let d be (-42)\/5 + (-4)\/(-10). Let i = -6 - d. Sort q, i, 3 in descending order.\nAnswer: 3, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3204087139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/5 - 494*g**2\/5 + 39808*g\/5 = 0. What is g?\nAnswer: -311, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4886 less than 4490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 47 = -2*a + 2*y - 0, 4*a + 2*y - 146 = 9*a for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 27103 * -1\nAnswer: -27103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*k - 4*t - 16, -4*t - 16 = -k. Suppose 3*j - 31 - 31 = s, k = -5*s - 10. Is 17 a factor of (-4)\/(-10) + ((-22688)\/j)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8426 + -11751?\nAnswer: -20177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24884, 49810, 74748, 99698, 124660, 149634, 174620?\n\"Answer: 6*c**2 + 24908*c - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 105345?\nAnswer: 105346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5078939.\nAnswer: 5078939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -4. Let a be ((-1)\/(-45)*-3)\/(x\/8). Let z = 2.2 - 2.1. What is the third biggest value in z, 4, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146159 is divided by 435.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.82 + 6.32. Which is the closest to 2\/3? (a) u (b) -2\/43 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9.4832044 and -155.21.\nAnswer: -145.7267956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 2696, 4, -37\/4, -4?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -577, -2306, -5197, -9256, -14489?\nAnswer: -20902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6300973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s + 1. Let j(i) = i. Give 9*j(n) - 2*m(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 8 = 0, 18*y - 20*y + 14 = -3*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/15*(-72)\/(-4))\/((-10)\/(-175)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-91)\/39 + 2\/(-3). Let r(g) = -3*g**2 + g - 3. Let p(l) = 1. Determine c*p(n) - r(n).\nAnswer: 3*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 512\/(-128)*9\/2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/6 (b) 4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*n + 27*n - 6996 = -12087 - 7174 for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 12 - 67 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 97983.5.\nAnswer: 97985.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*b - b = 22, 3*o + 3*b = -18. Let z = o + 22. Let s(y) = 2*y**2 + y - 3. What is the lowest common multiple of z and s(-3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2477*f**6 - 14314*f**4 - 4*f**3 + 712791508*f**2 wrt f?\nAnswer: -297240*f**3 - 343536*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-12))\/((-160)\/600).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6810747 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23 - -9?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.057 (b) 0 (c) -5 (d) -162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.059, 225.9?\nAnswer: 225.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15 - (-90)\/(-6))\/(-3 + 3 + -1). Solve a = -2*l - 5*d + 21, -5*l + 5*d = 7*d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/(-9))\/1*(-36)\/24. Let n(v) = 5*v - 3. Calculate the remainder when 46 is divided by n(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/8)\/((-1)\/4). Let b = -5 + o. Sort -5, b, -3, 1 in descending order.\nAnswer: 1, -3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -18.0000133. Round h to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*5*((-76)\/(-8))\/19)\/(8975\/(-4308))?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(-2*sqrt(12)) - sqrt(350)\/sqrt(160))\/((sqrt(28) - sqrt(28)*2)*-1).\nAnswer: -3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 13, 45, 111, 223?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one twentieth of a microsecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6\/13 - -56\/65. Let c be 1*(2 - -2)\/2. Find r such that 2\/5*r**3 - f - 6\/5*r**c + 6\/5*r = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + -2*sqrt(72)).\nAnswer: -36*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1277828 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 55?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.96584494 rounded to two dps?\nAnswer: -8.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - 2613 + 2895 - f to w + m*f and give w.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-204)\/(-432)*12 + 11 + (-2 - 6)\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -95326 (b) 9 (c) -0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/11 + 82*o**3\/11 = 0. Calculate o.\nAnswer: 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - 4 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**4 + 24*o - 24*o - 1 + ((0*o - 2*o + 0*o)*(0 - 1 + 0) + 2*o + 0*o + 0*o)*(0*o**3 + 2*o**3 - 4*o**3).\nAnswer: -3*o**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 624089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-7) + 0)\/(-1*2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.824071\nAnswer: -0.4120355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (0 - 1) - (18 + -21)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 8*a. Let g(o) = -o**2 + 11. List the prime factors of g(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3624484 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*s = -1146*s + 1039*s + 7518 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37810, 75575, 113300, 150985, 188630, 226235, 263800?\nAnswer: 301325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323899 divided by -1?\nAnswer: 1323899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13429?\nAnswer: 13, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + n + n + (2 - 3 + 3)*(n + 0*n - 2*n))*(-3*n + 6*n + 2*n).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1111 is divided by 370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0369267 rounded to 4 dps?\nAnswer: 0.0369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**4 + m**3 + m**2 + m - 1. Let n(d) = 8*d**4 - 5*d**3 - 5*d**2 - 5*d - 4. Let p(a) = -n(a) - 5*s(a). What is the derivative of p(z) wrt z?\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 386 + -355. Suppose 6*v + r = 2*v + 5*k, 4*k = v + 16. Let a be (-2)\/(-9) - (-70)\/(-72). What is the closest to 2\/5 in v, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6818603?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 1\/4 (c) 1443 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 - -36. Let y = -22 - t. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43367, -173670, -390839, -694874, -1085775?\nAnswer: -1563542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 17*h - 2. Let v(l) = 16*l - 2. What is -4*s(a) + 5*v(a)?\nAnswer: 12*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 + -100212?\nAnswer: -102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1067, -1070, -1075, -1082, -1091?\n\"Answer: -u**2 - 1066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 507 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3 + 1. Let f = 932 + -920. What is the least common multiple of f and 1*(k + 1)*-82?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 2034 - 2031. Let j(q) = q**2 + 5*q - 28. Give j(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 4 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, -18, 4, -1.\nAnswer: -18, -13, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 1:12 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**4 + 0*w**2 + 0*w**2 + (-3*w + 5*w - 3*w)*(-3 - 2 + 3)*(9*w**3 - 14*w**3 - 12*w**3).\nAnswer: -29*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*(sqrt(95) + (sqrt(95) + sqrt(95)*-2*-6 - sqrt(95)) - sqrt(95)))\/(-1*(sqrt(180) + (sqrt(180)*-1 - sqrt(180)))).\nAnswer: -4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5175739?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 32*z - z**3 + 4*z**3 - 48*z.\nAnswer: 2*z**3 - 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -25*h. Let y(o) = -o. Calculate n(y(x)).\nAnswer: 25*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllzllzszlllll. What is prob of sequence zs?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6)\/(4\/42). Suppose -2*s + 7*s = 0. Put s, x, 5 in increasing order.\nAnswer: x, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kookkoo. What is prob of picking 2 o and 2 k?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-11)*(-2)\/8*2. Suppose q = 5*f - 3*c - 3 - 21, 3*c = -9. Let j be -4 - (-3 + (-3 - -2)). Sort 2, f, j in descending order.\nAnswer: f, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17\/3 + 13\/3. Suppose -2*d = -2*l - 10, 3*d - 14 = -5. Is l > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13073*h + 3289195 - 3289195 to the form d + j*h and give j.\nAnswer: 13073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1456 and 107\/2730.\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/3)\/((-3)\/36). Suppose 3*y + w*y - 35 = 0. Let r(f) = 0*f + 6*f - f**2 - f - f**2 - y. Let j(h) = 3*h**2 - 7*h + 7. What is -5*j(k) - 7*r(k)?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, m: 2, c: 1, h: 4, q: 1}. What is prob of picking 1 o and 2 m?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 349\/5 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260459 is divided by 876.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152210, 304432, 456674, 608942, 761242, 913580?\nAnswer: 1065962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13131938 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-13)*d**(7\/3))\/((d*d\/(d\/d**10))\/d)**(10\/3))**(13\/7) assuming d is positive.\nAnswer: d**(-559\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 0*s**5 + 0*s**6 + 0*s**7 + 4*s - 1\/4*s**4 + 0*s**2 - 3\/28*s**8 + 0 + 0*s**3. Find the third derivative of y(c) wrt c.\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/13)*m)\/m*(m**5\/m)\/m*m**(-11)\/((m*m**(-7))\/m) assuming m is positive.\nAnswer: m**(-16\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/45)\/(-1))\/((42\/60)\/7).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 5:27 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004231 rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/7850 and 107\/152290?\nAnswer: 761450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51080401 is divided by 255402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (45\/18)\/(10\/8). Determine m so that 34*m**2 - 25*m**2 - 5*m**s = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*p - 19, 4*p - 42*d + 45*d = 32. Solve v = -p - 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137*-3.\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 = 8*o + 674. Let m = o + 256. What are the prime factors of m?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1215\/8*s + 33*s**4 + 867\/4*s**3 + 336*s**2 + 3\/8*s**5 = 0. Calculate s.\nAnswer: -81, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115990?\nAnswer: 2, 5, 7, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3451 - -7424. Suppose 0*d - 4*d - 1007 = -g, 4*g - k = 5*d. Let m = -568 + g. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4537971.\nAnswer: 3, 131, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -816 - 328 = 4*l. Let s = l + 603. Let y = -222 + s. Calculate the greatest common divisor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/15)\/(((-748)\/(-44))\/(-969))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1289 + -0.0289. Let s(f) = -4*f - 2. Let p be s(-1). Which is the second biggest value? (a) -5 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3603985?\nAnswer: 5, 7, 11, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2673576359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22800 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1621 (base 12) in base 8?\nAnswer: -5071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 4. Let w(g) = -2*g - 5. Let q be w(-16). Suppose o*v = v + q. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0303 + 1.9697. Which is the nearest to 0.1? (a) 7\/6 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -39. Find the second derivative of -14 + 6 + 12 + m + 98*m**k wrt m.\nAnswer: 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 2*b - 2*b)*((-3 + 6 - 2)*(3*b**2 + b**4 - 3*b**2) + 0*b**4 + b**4 - 3*b**4).\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 5*z**2 - 8. Does 12 divide q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 2*t = 2*u + 2662, 2*u = 2*t + 1334. Is 27 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1163093, 1162954, 1162723, 1162400, 1161985, 1161478?\n\"Answer: -46*z**2 - z + 1163140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.26 + 0.04. Let q = 0.624 + -0.524. What is the closest to 3\/5 in -3\/8, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 29. Suppose -y = -3*a - a, 5*a = -5*n + 180. Let w = n + 48. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 2. Suppose 5*l - 191 = -h, 0*l - o*h = -l + 47. What is the remainder when 115 is divided by l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5 = 3. Which is the closest to n? (a) -4 (b) -1\/2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -5 in descending order.\nAnswer: 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**5\/15 + a**4\/24 - 6*a**2. What is the second derivative of z(w) wrt w?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4) - 12\/(-48))*-8. Let s(a) be the first derivative of 5\/4*a**5 - 4 + 55\/16*a**4 - 7\/2*a**2 - 1\/2*a**3 + m*a. Determine l, given that s(l) = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -23*z + 32*z - 5 + 5. Let p(f) = 9*f. Calculate y(p(b)).\nAnswer: 81*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (0 + 2))*(-18)\/12. Let x be (8 + (-1072)\/12)*v\/(-2). What is x rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113156 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 216*q - 444.\nAnswer: 3*(q - 74)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30679, 122788, 276309, 491236, 767563, 1105284?\nAnswer: 1504393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 120850*m**2 - 120835*m - 15 = 0.\nAnswer: -3\/24170, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -737702227 + -2.9.\nAnswer: -737702229.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43487, 67433, 91379?\nAnswer: 115325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-164 + 151 - (-30 - 1)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/6 - (-2)\/(-4). Let g = -4063 + 20311\/5. Which is the smallest value? (a) g (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.012*83275.\nAnswer: 999.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 54*a**2 + 48*a - 350. Give w(-55).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:34 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27.1 from 96264.\nAnswer: 96236.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Let b(w) = -2*w + 8. Let j be b(3). What is the nearest to z in j, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2173, -8900, -20111, -35806, -55985, -80648, -109795?\nAnswer: -143426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 376 - 376.287. Let s = h - -0.087. What is the fourth biggest value in 0.1, 4, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, z: 2, q: 5}. What is prob of sequence rrr?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28\/277, -0.5, 0.5, 6, 3, -5\/2 in descending order.\nAnswer: 6, 3, 0.5, 28\/277, -0.5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, r: 2, s: 2, e: 1, n: 1}. What is prob of picking 1 x and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*54\/96*4\/6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2443522.2 months?\nAnswer: 20362.685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -807.6828978 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) -199.9502 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 50*c + 12. Let h(g) = 52*g + 16. What is 4*h(p) - 6*q(p)?\nAnswer: -92*p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5d5 (base 15) to base 8\nAnswer: 2455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 229 - 107. Calculate the remainder when l is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -212*n**4 - 50 wrt n.\nAnswer: -848*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13747*y + 25249*y**3 + 3*y**2 - 13747*y.\nAnswer: 25249*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410 = -9*t - 392. Let g(i) be the first derivative of 14\/3*i**3 + 0*i + 0*i**t - 8. Let w(z) = z**2. Calculate g(w(x)).\nAnswer: 14*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 7*k**2 + 7*k + 6. Let p be o(-6). Let i = 3 + 0. Solve 6 = -p*u - i*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -85*r**3 - 6*r**2 - 12*r - 23. Is 63 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -12, h - j + 21 = -6*j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + -4. Let c = -5 - k. Solve -2*x = -x + c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 264 - 82. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 5*d**4 - d + d**2)*(-3 - d + 3).\nAnswer: -5*d**5 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - r = -7*f - 16, -f = -4*r + 36 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**3 - b**2 + 12*b + 19. Let c(y) = 2*y**3 + y**2 + y. Let t(w) = -2*c(w) + l(w). Is t(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.490362 decades in millennia?\nAnswer: 0.09490362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/55424 and 63\/17320.\nAnswer: 277120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009264 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -16*p - 4. Let k(m) = 609*m - 300*m - 306*m. Calculate k(y(u)).\nAnswer: -48*u - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2508\/(-55)*(-12 - 25038\/(-2088)) - 36\/60.\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23551911 to the power of 1\/2, to the nearest integer?\nAnswer: 4853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 309*r + 7. Let f(q) = -4*q**2 - 928*q + 22. Let y(u) = -5*f(u) + 16*z(u). Let o(n) = 3*n. Determine o(y(x)).\nAnswer: 12*x**2 - 912*x + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/700134 and 53\/466756.\nAnswer: 1400268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 418994898 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + sqrt(42)\/sqrt(3)*2)\/sqrt(2) - (sqrt(63) - sqrt(693)\/(sqrt(33)\/sqrt(3)))\/sqrt(9))*-5*2.\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 672, -0.2 in decreasing order.\nAnswer: 672, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 24*v + 43. Let d be s(22). Let b be (-1310)\/(-20) - 2\/3. Let i = -65 + b. Is i greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 89756, 89715, 89666, 89615, 89568?\n\"Answer: t**3 - 10*t**2 - 18*t + 89783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -23201 and -23201 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 + 18?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/8 and -101\/130?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 - -19. Let j = -36 + l. Factor 117 - 5*v**2 + 5*v - j + 0*v**2.\nAnswer: -5*(v - 3)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111000111100010 (base 2) to base 4\nAnswer: 13013202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114315520 by 64768.\nAnswer: -1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*y = -292, -2*y - 174 = 4*s + 130. Let q = s + 116. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*q = 18, 4*q + 4 = h + q. Let i = -1 + h. What is the units digit of 21*5\/(45\/i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-30) + (180 - 198 - 97\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 38 - 8 - 17*q**2.\nAnswer: -17*q**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*5547.\nAnswer: -22188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - d**2 + 1359 + 0*d**2 - 10*d**2 + 1354 - 2706.\nAnswer: -10*d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - u - 1. Let p(g) = 5*g**3 + g**2 + 5*g + 6. Let t(x) = -6*c(x) - p(x). Give t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n + 130. Let r(m) = -m - 32. Let x(k) = 25*r(k) + 6*z(k). Let i(g) = -2*g + 7. What is -17*i(c) - 6*x(c)?\nAnswer: 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 7 = 5*z - 3*a, 5*z = 4*a + 6. What is the derivative of -87*k**3 - 12*k**2 - 17 + 12*k**z + 29*k**3 wrt k?\nAnswer: -174*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kisogonn. Give prob of sequence noo.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 - 4*a**3 - 6*a**3)*(-a + 4*a - 6*a)*(3 + 1 - 2).\nAnswer: 72*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3232, -8799, -14366, -19933, -25500, -31067?\nAnswer: -36634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 0.8. Let x = -293 - -292.7. Let d = x - b. Put 0.5, -9, d in decreasing order.\nAnswer: 0.5, d, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29191.\nAnswer: 29191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2168222578.\nAnswer: 2, 1084111289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 27*z + 858. What is y(-31)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1027728\/(-353808))\/((-4)\/(-21))\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2452977.1252 minus -0.2918?\nAnswer: -2452976.8334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k - 4 = 5*a, -29 = -2*k + 3*a. Calculate the remainder when k is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -38, -77, -136, -221, -338, -493?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -757.9 - -709. Let z = -5484.9395 - -5436.039723. Let t = z - x. Round t to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70433?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*o, 146*s - 143*s + 23 + 21 = -19*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 5*j + 14, 2*t = 3*t + 3*j + 10. Suppose 3*o + t*v + 13 - 98 = 0, 3*v - 6 = 0. What is the least common multiple of o and 45?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 2*c**2 + c. Let v be (-2)\/8 + (-5)\/(-4). Suppose -x = -3*j + v, -5*j + 5*x = -2*j + 7. Calculate p(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79.6181 + -2.1811. Let a = -78 + i. What is a rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x. Let m(u) = -u**3 - 6*u**2 - 2*u + 10. Let l be m(-8). Suppose -13*f + l = -2*f. Let z(r) = 45*r + 9*r + 10*r - f*r. Give t(z(o)).\nAnswer: 50*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l**2. Let p(g) be the second derivative of 24*g - 1\/6*g**4 - 1 + 0*g**3 + 0*g**2. Calculate r(p(b)).\nAnswer: -24*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h - 2. Let r(x) = x - 1. Let b be r(3). Let u be n(b). Solve -3*a = u - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11327547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(10\/4 - 0). Factor -2*y**2 - 3*y - 1 + 3*y**5 + 3 - 4*y**f + 4*y**3.\nAnswer: -(y - 1)**3*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5\/4 - 7925*x**4\/4 + 7864557*x**3\/2 - 54885589*x**2\/2 + 109596997*x\/4 + 235105215\/4 = 0.\nAnswer: -1, 3, 5, 3959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(2 + 0) + -3. Solve -3*b = -3*m - h, -b = 2*m - 6*b + 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 695*j - 6838. Let s be h(-10). Let q = -15 + 17. Solve -w - 4*b = s, 2*w - 3 = -q*b - 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 8728.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1062 - 257 = 35*k. Suppose 3*h + 2*h - 60 = 0. Calculate the remainder when k is divided by -1*(h\/(-3) + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, n: 1, s: 9}. What is prob of picking 1 o and 1 n?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d - 4. Let m(t) = t - 1. Let n(o) = -f(o) + 4*m(o). Let q = 7 + -3. Let s(b) = -3 + 5 - 2 - q*b. Calculate s(n(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.87747l in millilitres?\nAnswer: 37877.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 4*w**2 - 5483*w**3 + 5491*w**3 + w - 11*w + 2*w**5 - 8*w**4.\nAnswer: 2*(w - 2)*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.3 (b) -3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2267 + 2269. Solve -4*t - 16 = n*p - 0*p, -24 = -2*p + 4*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13274 is divided by 225.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 541.9 - 330.14. What is h rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, r: 3, m: 13}. What is prob of sequence mr?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, 5, 5\/4, 119?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**2 + 0*x**3 + 0 + 0*x + 5\/24*x**4 + 1\/60*x**5. What is the second derivative of n(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -9 + 13 + -23 + 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4202 and 1012.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/20)\/(4\/(-40)). Let f(z) = -z - 1. Determine f(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039871 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 668794199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 615?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**2 - 4*h**2 + 5*h**2 - 3*h**2 to the form t + i*h + z*h**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 10aa217?\nAnswer: -10aa21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 22 = -5*j, 4*r + 17*j = 19*j + 44. Suppose -7*s + 5*s + 7 = 3*o, 0 = -4*o - s + r. Solve -o*p + 5 = 4*i, -p + 7*i - 5*i - 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2. Let p(o) = 2 - 3*o**2 + 0*o**2 + 0. Let r = 67 + 50. Let k(t) = -57*t**2 + 39. Let n(h) = r*p(h) - 6*k(h). Calculate n(v(c)).\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -92*h. Let d(j) = -56 - 39*j**2 + 47*j**2 + 56. Determine d(l(o)).\nAnswer: 67712*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((0 - -12) + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 237*j + 11. Let d be o(-1). Let u = 236 + d. Let z(b) = b - 7. What is z(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2641*t + 8216 = 2325*t for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/20 + -1*((-99)\/55)\/3. Which is smaller: 2\/13465 or w?\nAnswer: 2\/13465","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/3 - 8*i**3\/3 - 10*i**2\/3 - 4*i\/3 = 0 for i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.971903 to two decimal places.\nAnswer: -115.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 768560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.0014 - -78.69.\nAnswer: 80.6914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/6754 and 69\/2?\nAnswer: 6754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 346*d + 21*d**2 - 19*d**2 + 1858*d - 2*d**2 - 4 + 4 + (d - 4*d + d)*(d + 1 - 1).\nAnswer: -2*d**2 + 2204*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 71*f + 377. What is q(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**2 + x - 1. Let p be u(-2). Let z be p\/28 - 1\/(-4). List the prime factors of (z + (-3)\/2)*-68.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 101, 101, 103, 107, 113, 121, 131?\n\"Answer: b**2 - 3*b + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 19*q + 4. Suppose 2034*z - 14 = 2048*z. Calculate s(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954 = 171*p - 576 + 333 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -13. Let f be z\/(-4) - 14\/8. Let k = 1 - 1. Which is the nearest to f? (a) -2\/3 (b) -2\/15 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 15*a**2. Let n(f) be the first derivative of 7*f**6\/360 - 17*f**3 - 1. Let w(g) be the third derivative of n(g). What is m(w(t))?\nAnswer: 735*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18131761841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, k: 8, v: 2}. What is prob of picking 2 v and 1 k?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/20)\/(-5 - -2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 28 + 30 - 3*t - 58 - 15*t**2. Let b(h) be the second derivative of h**6\/720 - 7*h**4\/6 - 7*h. Let k(x) be the third derivative of b(x). Give l(k(u)).\nAnswer: -15*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216*-0.45.\nAnswer: 97.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 162.439746 hours?\nAnswer: 0.96690325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/10 - (-3744)\/10. Suppose -15*y + u = -12*y. Is 25 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 1. Let p = 23 - h. Calculate the greatest common divisor of p and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114653 and 40203?\nAnswer: 3095631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -949366.9 from 6012.982.\nAnswer: 955379.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*-16*1492*(-3)\/(-24) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -38847c + -2?\nAnswer: -388480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 24. Let s(q) = 2*q - 7. What are the prime factors of s(f)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 51 = -5*v - 2*h, -20 = 4*h. Let d = v - 10. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4494 and 420?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69850 by 275.\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**31)**(1\/40)*(g**0)**15*(g\/(((g\/(g\/(g\/(g\/g**(-1\/3))))*g)\/g*g)\/g))**(2\/27) assuming g is positive.\nAnswer: g**(2831\/3240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 463067 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -463730 rounded to the nearest ten thousand?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -14, -3, -11.\nAnswer: -14, -11, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**8)\/(q*q\/(q*q*(q*(q*q\/q**8*q*q)\/q*q)\/q*q*q)*q))**24 assuming q is positive.\nAnswer: q**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-three quarters of a hour?\nAnswer: 47700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9774 - 6212. What is the remainder when d is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -348*j + 5. Let p(u) = -348*u + 6. Give -7*c(x) + 6*p(x).\nAnswer: 348*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, -19, -113 in descending order.\nAnswer: 13, -5, -19, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 495896, 495893, 495890, 495887, 495884, 495881?\n\"Answer: -3*n + 495899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*z = 553, -596 = -3*m - 3*z - 179. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/4*8\/3. Let j be 5 + (2 - 0) + y. Let g be ((-5)\/(-3))\/(145\/174). Solve g*u - u + j = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8 = -32. Does 14 divide (-5)\/((-15)\/(-14))*y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7808470, 7808467, 7808464, 7808461?\n\"Answer: -3*j + 7808473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13, -97, -231, -415, -649, -933?\n\"Answer: -25*a**2 - 9*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 155\/197232 (b) -4 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-217 - -218) + 8 + (-3 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -449 divided by -1.\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 30. What is the remainder when 13 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11926.\nAnswer: 2, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7153 = -4*k - 5*c + 33613, 5*c - 30 = 0. Does 67 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160645789 divided by -160645789?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 515669*u**3 - 938524 wrt u?\nAnswer: 1547007*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1006*34739\nAnswer: -34947434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45.04 + -42. Let g = -0.04 + r. What is the closest to 1\/3 in 4, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 814 divided by 413?\nAnswer: 814\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 4\/(-2))\/(-1). Let y be ((-2)\/2)\/(p\/3). Let k be y*(-4 - -3) + 503. What is k rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -3026375\nAnswer: 2\/3026375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1785307, 1785309, 1785309, 1785307, 1785303, 1785297, 1785289?\n\"Answer: -u**2 + 5*u + 1785303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 450619469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -5 (b) 1 (c) 0.043 (d) 6\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/565755 - -26590481\/1131510. Suppose n*o + 13\/2*o**2 - 9 - 47\/2*o**3 + 5\/2*o**4 = 0. What is o?\nAnswer: -1, 2\/5, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofefeofe. What is prob of picking 1 e and 1 f?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9168 divided by -12\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - j - 4*j - 370 = 0, -5*k = -5*j + 420. Let g = -54 - k. What is the remainder when 149 is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88492 is divided by 44214?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -52, 1, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - 211?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/74112 and 55\/1536.\nAnswer: 296448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-19)\/(m**(-10)\/m) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 10*p**2 - 34*p + 550. Is x(23) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -15. Let v be (-2)\/((q\/(-4))\/7). Let z = 7 - v. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1472.729 - 756.998. Let s = -713.530999 + z. Let y = 2.2 - s. What is y rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2906588788 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -576 + 609. Is 33 not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, g: 1, f: 1, h: 2}. Give prob of sequence hjf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a + 12 = 0. Suppose -538 - 38 = 2*w. What is the tens digit of (w\/4)\/a + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 609 or 3052\/5?\nAnswer: 609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - 4*x + 0*x)*(2 - 2 + 5).\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19010447.8 rounded to the nearest ten thousand?\nAnswer: -19010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3. Let r(p) = 4*p**3 - 5*p**2 - p. Let q(s) = r(s) + 2*w(s). What are the prime factors of q(4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(280)\/(5*3*sqrt(10)))\/((sqrt(44)*-2)\/sqrt(11) + (sqrt(4) - (sqrt(4) + (sqrt(100) - sqrt(4)))*2)).\nAnswer: -sqrt(7)\/165 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61\/4*2 - ((-11)\/(-4))\/((-5434)\/(-988)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.42 times -2960\nAnswer: 4203.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2025.\nAnswer: -1\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**3\/3 + d**2\/2 + 6*d - 2. What are the prime factors of k(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 253833117.8266 and 0.3.\nAnswer: 253833118.1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -1326?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y**2 - y**3 - 19*y**2 - 3*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2988.666 + 2985. Let m = g - -3.70983. Let z = -0.042 + m. Round z to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*j - 33 = 0, -5*j - 12 = 4*c - j. What is the smallest value in c, -0.1, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3651 - 4?\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wooowwooowoww. What is prob of picking 3 o?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176 (base 15) to base 4.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116748814 and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1155, -1157, -1159?\n\"Answer: -2*b - 1153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 4:33 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221615 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - -68. Suppose -69 = -n + o. Does 26 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2607, -9518, -20643, -35982?\n\"Answer: -2107*c**2 - 590*c + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 146 = 5*g, 3*h + 2*h - 3*g + 222 = 0. Let k = -9 + 16. What is the least common multiple of k and (-36)\/21*h\/12?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.08, -1, 101?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0, 0.5, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + -8.8. Let f = -9.2 - z. Let x = 31 + -63\/2. Which is the closest to x? (a) 2\/11 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*m - 130, 7 = -2*m - 3. Let b = x + 41. Is b bigger than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 3*s - 3*y + 10 = 0, 3*s = y + 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(50)\/(sqrt(250)*2))**2 + (sqrt(5) + -6*(sqrt(5) + -1)**2 - (sqrt(10)\/(sqrt(2) + sqrt(2)*1))**2).\nAnswer: -184\/5 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - 6*(sqrt(136) - ((-2*sqrt(136) - sqrt(136)) + sqrt(136)) - sqrt(136)))\/(sqrt(96)\/(sqrt(12) - 2*sqrt(12)))*-6)**2.\nAnswer: 74052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 13*p**3 + p**2 - 7*p + 7. Let m(t) = 6*t**3 + t**2 - 4*t + 4. Let y(b) = 4*k(b) - 7*m(b). Find the third derivative of y(n) wrt n.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - s. Let a(g) = -4*g**2 - 5*g. Let p(h) = a(h) - 5*d(h). Let b(f) be the second derivative of -f**3\/2 - 3*f. Calculate b(p(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m - 13. Let f be 12\/(-16) - 12\/(-16). Let b(z) be the third derivative of -1\/2*z**3 + 0*z + f + 1\/24*z**4 - z**2. What is -18*b(u) + 4*t(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 0.2. Let j = 136 + 85. Let r = -221.13 + j. Is r equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {n: 2, l: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8942877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 89415.28 hours?\nAnswer: 321895008000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5758202, -5758205, -5758208, -5758211, -5758214?\n\"Answer: -3*a - 5758199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -8. Suppose p = -j - 0*j. Suppose 5*n - 3*z = 18, 10 = 5*n + z - 6*z. Solve -n*v + 4*v - 4 = j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142*c**3 + 3*c - 136*c**3 - 143*c**3 + 413*c**3 - 561*c**2 - 39*c**6 + c**4 - 43*c**6 - 2 wrt c.\nAnswer: -9840*c**3 + 24*c - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43408\/(-6744518))\/(12\/11)?\nAnswer: -2\/339","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -136 < -35930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4 + 16)*(-10 - 37 - 10)*(1 - 1 - f) as t*f + p and give t.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*t + 0)*(69 - 43 + 17)*(-4 - 6 + 21).\nAnswer: -946*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2826875614 to the nearest integer?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f - 2*f**2 - 3*f + 53136*f**4 + 1 + 2 - 53375*f**4 - f as i*f + s + o*f**2 + q*f**4 + g*f**3 and give q.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161072458.\nAnswer: 2, 431, 186859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 1\/2*q**2 + 2*q + 1\/3*q**3 + 0. Is 8 a factor of x(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/2 and 31\/2249?\nAnswer: 4498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-4*sqrt(135))\/((sqrt(5) - sqrt(20))*-3))**2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(o**10*o))\/o)**(-27))**44 assuming o is positive.\nAnswer: o**11880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 209234193 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/340 and 101\/879090.\nAnswer: 29889060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + (6*(0 + sqrt(2)) - sqrt(2)).\nAnswer: -7 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*p**5 + 2 - 3*p**5 + 2*p**5 + 2*p**5 + (p**5 - 2*p**5 + 2*p**5)*(-1 - 2 + 1) + 16*p**2 - 10*p**2 - 7*p**2 - 4*p**5.\nAnswer: -7*p**5 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 27 - 4*j**2 - 9 - 7*j - 12 + 3*j**2. Determine t(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a - 2*a - 3*a)*(-3*a + 5*a - 3*a) + 509*a**2 + 467*a**2 + 266*a**2 + (-5*a + 2*a + 4*a)*(3*a - a - a) to the form r*a + p*a**2 + h and give p.\nAnswer: 1245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 697 + -673. What is the remainder when 643 is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38388400 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10067 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjtssix. What is prob of picking 1 s and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*v - 193*v = -41324 - 23477 + 27501 for v.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -3*n - 13. Suppose 0*w = -3*w + 456. What is the greatest common factor of n and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -541 + 550. What is the derivative of -32 - q - q**2 + 0*q + u*q**2 - 4*q + 264 wrt q?\nAnswer: 16*q - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90534790, -362139158, -814813104, -1448556628, -2263369730, -3259252410?\nAnswer: -4436204668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26102 + 17098. Let m = a + 62777\/7. Let b = m + 36. What is the biggest value in -0.8, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/(-111))\/((-486)\/(-27)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + (-19 - (-30 + 20 - 17))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -180, 18\/37, 2\/17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -889709 - 595*v**2 - 7*v + 889709.\nAnswer: -595*v**2 - 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 35\/(-7) + (-1 - -6). Let d(g) = -6*g + 14. Let h(y) = -5*y + 13. Let m(o) = 4*d(o) - 5*h(o). What is m(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-7))\/(39192\/(-483) - -78). Let c be (-45)\/(-148) + (-1)\/4. Put -5, c, l in ascending order.\nAnswer: -5, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170510057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/27)\/(4\/(-9))*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 274809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2330023 (base 4) in base 12?\nAnswer: 6b77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(63) - -2*sqrt(63)) - sqrt(63))\/sqrt(9).\nAnswer: 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 12) to base 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 496 - 501. Which is the third biggest value? (a) m (b) -2\/15 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/7, 186, -0.02, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 44, 69, 130, 245, 432, 709?\n\"Answer: 3*t**3 + 4*t + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a. Let o(c) = -1108*c**2. Give o(s(w)).\nAnswer: -70912*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i - 5. Let x be y(5). Let m = 9 - x. Suppose 0 = 5*j + 10, j + 54 = m*l + 2*j. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3*u*(u\/(u**(7\/2)\/u))\/u)\/(u*(u*u**2)\/u*u)**13)\/((u**(-1\/3))**(5\/9)\/(u*u**0*u)**(-43)) assuming u is positive.\nAnswer: u**(-7361\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q - 3*q - 3*q)*(-156*q - 13*q**3 + 156*q) to w + x*q**2 + d*q + f*q**4 + a*q**3 and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 4*r + 55, -4*t + 8*t - 5*r = 94. What is the highest common divisor of t and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 253588*f*j**5 + 2*f*j**2 + 4*f*j - f + 874*j + 147 wrt j?\nAnswer: 5071760*f*j**3 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -137, -243, -347, -449, -549?\n\"Answer: c**2 - 109*c - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110269268 and 235727.\nAnswer: 6371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005095122 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10a7c + a3d4?\nAnswer: -4688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 3)**2*5 + sqrt(125).\nAnswer: 155*sqrt(5) + 670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5589\/2 + 2797. Let q(h) be the third derivative of -v*h**3 + 0 + 0*h + 5\/8*h**4 - 11*h**2. Differentiate q(d) with respect to d.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*h + 12724 + 7338, -3*p = 2*h - 8057. Calculate the greatest common factor of h and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 13 (c) 1\/4 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(72)*-2*-6 - 2*(sqrt(72) - (sqrt(72) + -1)))*4 + 1)**2.\nAnswer: -4608*sqrt(2) + 165952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 470128 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312 = -132*j - 876 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 3*o = -19, 0*j + 22 = -4*j - o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 996493 divided by 5?\nAnswer: 996493\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 s, and 1 y when three letters picked without replacement from tptsottpttyssssst?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, x: 1, i: 6, d: 2, r: 4}. What is prob of sequence ixi?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/9)\/(2\/12). Suppose -y*x - 174 = -220. What is the greatest common factor of x and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 41, 59, 77, 95?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 22036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312, -1339, -3052, -5451, -8536?\nAnswer: -12307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*p + 7*p - 6*p - 7*p as m*p + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 39*d**2 + 2*d - 1. Suppose -s - 1 = -5*s + 5*i, 0 = 4*s - 4*i - 8. What is the remainder when m(1) is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 6 + 4*b**2 + 2 - 2*b**3 - 25*b**2 + 19*b**2 in the form c*b**3 + v*b**2 + g*b + f and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 54 and 0.14248.\nAnswer: 54.14248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) -1 (c) 1\/19 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-319)\/(-957) - (-177)\/9?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-4))\/(84\/224)*144\/48.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 0*n**2 + 0*n**2)*(-1 - 3 + 2) + n**2 + 3*n**2 - 5*n**2 + 32*n**2 + 19*n**2 + 21*n**2 - 2.\nAnswer: 73*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.4 - 20.4. Let p = 696 + -695.3. Let d = 0.2 + 0.1. Which is the closest to i? (a) d (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**3 + 1103944*j**2 + 6192975*j?\nAnswer: 12*j + 2207888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r - 6. Solve r*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2 = 9*t. Let m = 1.4 - 1.3. What is the nearest to t in 1\/6, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -13 (c) -1\/11 (d) 0 (e) -0.2 (f) -23\/2 (g) 38\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85 or 169\/2?\nAnswer: 169\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -3\/26236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818 is divided by 340.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 4:33 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*b + 4908 + 3822 = 0 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40424 (base 5) to base 9.\nAnswer: -3524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1955 or 0?\nAnswer: -1\/1955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/5791170 and 3\/419650.\nAnswer: 28955850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**3 + 7. Let n be 5 + (-2)\/(2\/(-1)). Suppose 3*s - 2*s + 3 = 0. Let i be (57\/(-6) - s)*2. Let y(v) = 2*v**3 + 3. Calculate i*y(u) + n*k(u).\nAnswer: -2*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38723040 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-24)*z))\/z**(-13))\/(z**(-13)\/(((z**(1\/33)\/z)\/z)\/z)) assuming z is positive.\nAnswer: z**(1552\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 6*p - 7. Let k be m(7). Suppose k = 4*c - 38 - 42. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 56 = -4*a, a + j + 5 = -4*j. Suppose 4*b + b - a = z, -3*b - 3*z = -27. Solve 4*w - r = -18, -3*w - r - b = 3*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270210 is divided by 2702?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 33 = -31*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0 + 0 - 3*m. Let p(d) = d. Suppose -9*v = 3*w - 6*v - 27, 0 = 5*v - 20. Calculate w*p(k) + 2*f(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from pxpppvfvpxffv?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.56925322 to one dp.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16470, 1510, 3 in descending order.\nAnswer: 1510, 3, -16470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j + 20 = 0. Suppose -j*b = -2*c - 45, 3*c + 36 = 4*b - 0*c. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 120130, 480484, 1081044, 1921786, 3002686, 4323720?\n\"Answer: -4*o**3 + 120127*o**2 + o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4.09. Let r = g - -0.09. Which is the smallest value? (a) -0.3 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*x - 8, 5*l + 0 = 2*x - 3. Let b be l\/((-24)\/(-84) + (-17)\/35). Solve 3*k = -5*v - 15, k + 2*v = 4*v - b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = 927*l - 984*l. Solve 14*p + 12 = 17*p, 3*k + l*p = 29 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25426803 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 + 24 = -21*t. Solve 0 = -0*r - t*r + 10, q - 4 = -3*r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*h - 17. Suppose 0 = -4*o + 11 + h. Solve o + 9 = -3*m + 2*k, 0 = -3*m - 4*k - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 20 + 32. Let b = -70 + 77. Let r = -8 + b. What is the second biggest value in l, 0.26, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1938*q - 16. Let u(s) = 649*s + 5. What is 3*g(m) + 10*u(m)?\nAnswer: 676*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(4\/3) - 56\/(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 8*f + 17. Calculate n(-12).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 - -3.03. Let z(l) = 3*l + 4. Let n be z(-3). Let y(g) = -g**2 - 5*g + 1. Let w be y(n). Which is the closest to w? (a) -0.5 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 70*k + 2039. Let t be o(-29). Solve -4*g + h = -t, h - 12 = 3*g - 6*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 5 - 2)*(2 - 6 + 2) + (1 + 2 - 2)*(11 - 11 + 12))*(80*z - 202*z - 202*z)*(-1 - 4 - 1) in the form g*z + h and give g.\nAnswer: 15552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 - -100. Find the common denominator of v\/12 + 0 + (-121)\/(-156) and 59\/20.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 23 - 3. Suppose -1235 = -w*r + 5313. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 259*s**2*w**2 - 132*s**2*w + 2*s**2 - 2*s*w - 2*s - 4729*w**2 + 160*w wrt w?\nAnswer: 518*s**2 - 9458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**3\/3 - 4*z**2 - 4*z + 2. What is the units digit of d(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h**2 - h + 1. Let s be t(1). Suppose d - s*d = -651. What are the prime factors of d?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(2\/(2 + 3 + -2)). What is the highest common divisor of b and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -32?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*h + 0*h - 8 = 0, -5*h - 10 = -4*f. Solve i + 1 = -0*i - 2*k, i + k = f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949987 is divided by 330.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = -5*o + 51, 0 = 3*o - 2*w - 28. Let x = 10 - o. Suppose x = 3*n - 46 + 7. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 16 = u, 0*f + 16 = 4*f + 4*u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -690, 1048 in increasing order.\nAnswer: -690, -4, 1048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*h**4\/8 - 345*h**3\/8 - 279*h**2\/4 - 48*h - 12 = 0.\nAnswer: -2, -1, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 4 (c) -5\/6 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (24 - 11) + 3 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3375 + -298. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12 = u, -2 + 14 = 4*t. Let y be 1\/(u\/(-1) + 1) + 5. Calculate the greatest common divisor of y and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*t**2 + 165*t**2 + 208*t**2 + 197*t**2 - 2.\nAnswer: 376*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.4 + -1. Let t = y - 1.40000002. What is t rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + b + 2*b + 11, 11 = 2*f + b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - w)*(-4*w + 6 - 6) + (-2*w**2 - w**2 + w**2)*(0 - 4 + 3).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*i + 6*i - 36 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + p)*(3 + 2*p**2 - 3) - 6543*p + 6543*p + 143*p**3.\nAnswer: 145*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/4? (a) 140 (b) -0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxhtxtttd. What is prob of sequence xxhd?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1423 (b) -5360 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176 (base 8) to base 13.\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 + 22*r + 52. Let y(l) = -2*l**2 + 15*l + 35. Let a(z) = 5*u(z) - 7*y(z). Let p be a(10). Let w = p + 32. Which is smaller: -3\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13759 (base 12) to base 10.\nAnswer: 26997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/2)*o\/o**5)\/((o\/o**4)\/o**1)*(((o**(2\/7)*o)\/o)**(12\/17))**(7\/12) assuming o is positive.\nAnswer: o**(-47\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 197, -937, -7 in ascending order.\nAnswer: -937, -7, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 10:23 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-1 + (-1 - -2)). Suppose 0 = -4*q + m - 5, x*q = -0*q - 3*m - 13. Let r = 31678 + -31674. Which is the closest to 0.3? (a) q (b) r (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*4.942.\nAnswer: 19.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1069309 and 10288?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 229488839072.2839 + -229375578298.1839111. Let u = d + -113260782. Let n = u + 7.9. What is n rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(18\/11)\/k*k)\/k*k**20 assuming k is positive.\nAnswer: k**(227\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/3304 and 51\/15764?\nAnswer: 1860152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7*v. Let q(k) = 203*k**2 - 2*k. What is q(s(t))?\nAnswer: 9947*t**2 + 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f**3 + 4*f**4 + 5*f + 466 - f**2 - 3*f - 466 - 3*f in the form r*f**2 + x + u*f**4 + p*f**3 + j*f and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.18, 114, 3, -1.7, -23, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d. Let z(y) = y**3 - 2*y**2 - 4. Let a be z(3). Suppose -6 + 0 = -4*f + l, a*f - 5*l = 0. Let w(r) = f + 2 - 4 - r**2. Give w(s(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -502 + ((-7)\/(-2))\/(-7)*14. Which is smaller: -512 or v?\nAnswer: -512","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - y - 26. Suppose -18*q = -y*q + 175. Let u = -31 - q. Solve -u = -2*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**5\/2 - 13893*q**4\/2 + 1560963*q**3\/2 - 13299255*q**2\/2 + 19574379*q - 19387188 = 0.\nAnswer: 3, 106, 4516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9911 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - i + 1. Let g be y(0). What is the tens digit of 6\/(3\/g) - -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*f**2 - 3\/4*f**3 - 1\/4*f + 0 + 1\/4*f**4.\nAnswer: f*(f - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764480721 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {t: 1, h: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.27374 to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -2*d - 41 - 47 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131 + 133. Suppose 4*k + v*r = -3*r + 41, -5*k - r = -46. What is the remainder when 22 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1443050 is divided by 3272.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5993941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 4*n - 4*n)*(-58*n - 16*n**2 + 58*n).\nAnswer: 48*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 19*b + 6. Calculate k(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21952006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 0*t**5 + 17\/210*t**7 + 0*t + 0 + 0*t**3 + 0*t**6 - 6*t**2 - 5\/12*t**4. What is the second derivative of c(d) wrt d?\nAnswer: 204*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -7. Suppose n = x - 21. Suppose -3*b = 3*f - 72, -4*b - x = -3*f + 5. Are f and 19 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6328.37 days to minutes.\nAnswer: 9112852.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 4*y + 6*y)*(3*y - 3*y - 2*y) + y**2 - 15*y + 15*y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 6 + 16 + -5. Solve -11*z + 6 = -v*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -127, -5 in decreasing order.\nAnswer: 2, -5, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence icvv when four letters picked without replacement from mvrvmdimvvcmv?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - -1*58\/14. Let l = -36 - -287\/8. Let q = 6 + -1. Which is the second biggest value? (a) x (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3294 divided by 27.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.015 * 0.143.\nAnswer: -0.002145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 231324804211158\nAnswer: -231324804211158.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 26*p = -21*p - 24, -3*s + 2*p = -89. Sort 3, s, 33, 1 in ascending order.\nAnswer: 1, 3, s, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 7. Suppose 3*z - 7 = 5. Let n be t(z). Let g = 9 - n. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*u + 848*u = 31390 + 31540 for u.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1, 214\/39?\nAnswer: 214\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 355\/6 - 59. Let n be 3\/9 - 8\/(-3). Let g(u) = u - 1. Let d be g(n). Which is the nearest to j? (a) 3 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 48 = d. Let c(x) = -4*x**3 + 4*x**2 + 9*x + 4. Let a be c(-2). Suppose -a*l = -12*l - 484. What is the smallest common multiple of l and d?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 387030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796332751?\nAnswer: 17, 89, 163, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, -277.\nAnswer: -277, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -182623151824566?\nAnswer: -182623151824565.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 22 - 10 - 5*v - 158*v**2 - 3*v + 5*v to i + w*v**2 + t*v and give w.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkkq when four letters picked without replacement from kqqqkkkqkkkqkkkqkk.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 3aab4?\nAnswer: 3aab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.5982057nm?\nAnswer: 0.0000000005982057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(567) + sqrt(567)*2 - sqrt(567)))**2 + sqrt(567) - sqrt(567) - (sqrt(343) - (-3*(1*sqrt(343) - sqrt(343)))**2).\nAnswer: -7*sqrt(7) + 81648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 divided by -679294?\nAnswer: 15\/97042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*r = -24, -16 = w - 4*w + r. Let v(c) = c**2 + 18*c + 61. Let g be v(-14). Suppose f - 2*f = -g*y - 121, -w*f = -3*y - 501. Does 26 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -276 divided by 74\nAnswer: -138\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.8 and -9225.158417.\nAnswer: -9215.358417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etvuf. Give prob of picking 1 f and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 8*i - 37. What is q(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/(p**(-3)\/p))\/p)\/p*(p**(-1\/9)*p)\/p*p*(p\/p**4*p)\/(p\/(p\/(p*p\/((p*(p**(13\/5)\/p*p)\/p*p)\/p))*p)))**(-14) assuming p is positive.\nAnswer: p**(-3458\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = -150 + 246 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42, 99, 254, 555, 1050, 1787?\n\"Answer: 8*a**3 + a**2 - 2*a + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1378.0583 - 124.7827. Let t = -1504 - j. Round t to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*w - 11200 = 5*z, 0 = -z + 4*w - 3739. Is z\/(-25) - 4\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22517970 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v. Let r be n(-3). Find the third derivative of -3*o**2 + 4*o**2 + 0*o**3 - 8*o**2 + 5*o**r wrt o.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23033*y**5 - 14*y**2 - 218*y - 1?\nAnswer: -1381980*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/7 + 98299144*m + 688094006\/7 = 0. What is m?\nAnswer: -344047003, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -233 (base 14) to base 13\nAnswer: -278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x + 16. Let v(f) = 8*f + 17. Let y(o) = -4*c(o) + 5*v(o). Suppose 5*t - 5*m + 19 = 2*t, 12 = t + 2*m. Let p(l) = -l - 5. What is t*y(b) + 9*p(b)?\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*y = 8*y - 34397. Calculate the remainder when y is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 223630 to the nearest one thousand.\nAnswer: 224000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u = -68 + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 3797910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhzhzzhhhzhhu. What is prob of sequence zuz?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -327904, -327943, -327982, -328021?\n\"Answer: -39*k - 327865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 3\/5, 2\/5, 3, 0.28, -3076 in increasing order.\nAnswer: -3076, 2\/13, 0.28, 2\/5, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176233*v - 2184 = -176415*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2775 (base 8) in base 9?\nAnswer: -2083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 142965943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42896633 rounded to the nearest 1000000?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**5\/20 + 5*j**4\/6 - 3*j**3\/2 + 2*j + 166. Determine o(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -50*i**2 + 0*i**3 + 0 - 1\/90*i**5 - 1\/108*i**6 + 0*i + 1\/54*i**4. Let a(k) = 0. What is k?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 17*t**2 + 24*t - 38. Suppose -5*p + 46 + 44 = 0. What is the tens digit of m(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*20\/(-320)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 9*d**2 + 2*d - 1. Suppose 2*k - 96 = 3*q, -q + 192 = 5*k - k. What is the remainder when k is divided by v(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.5 - -38.09. Let o = j + -1.5. Let l = o + 4.91. Which is the third smallest value? (a) l (b) 2\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10931 - -513805\/47. What is the common denominator of d and -24\/17?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15653 + 9415 - 37922 = 54249*s - 53865*s for s.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a**2 - 4*a + 5. Determine g(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**2 + 10*m. Let a be w(2). Solve a = -q - 3*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103025\/7650 + (-91)\/7 and 69\/1156.\nAnswer: 10404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4471\/2 or -2237?\nAnswer: -4471\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -3.1015694724.\nAnswer: -4.1015694724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*q - 265*q + 495 = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -114005516.865089826 - 0.134910174. Let n = 114005488.0000005 + j. Let x = -29 - n. Round x to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t - 64 = -0*t. Let v(z) = -3*z**2 - 10*z + 5. Determine v(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 306545344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -0.366632.\nAnswer: -2.199792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/3)\/((-124)\/93). Sort -3, h, 3, 4 in decreasing order.\nAnswer: 4, 3, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11134, 5, -7, -133, 0 in decreasing order.\nAnswer: 5, 0, -5, -7, -133, -11134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxcxxxxcxxcxxxxccx. What is prob of picking 4 c?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/4 + 897\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76661.3 * 240\nAnswer: -18398712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -12 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*1*(-2)\/5. Let c(k) = 2*k**2 + 2*k. Let z be c(-1). Is 12 a factor of z - ((2 - 16) + p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3 - 14*f**2 - 20*f = 0. What is f?\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25322.54 kilograms?\nAnswer: 25322540000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 18*f + 12. Let d be q(-8). Find the common denominator of 139\/(-90) + 4\/(-10) and (12\/2)\/(d\/(-87)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-312)\/27)\/(1300\/(-13650) - (0 - (-88)\/(-42))).\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nppneffapappapn. What is prob of picking 1 f, 2 a, and 1 p?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22, -2, -1\/2, 4, -3?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*((-680)\/50 + 16)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24827.\nAnswer: 11, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 2:51 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - -29. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111320204 - -10?\nAnswer: -111320144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/22 and 83\/480.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/870 and 133\/41225472.\nAnswer: 206127360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 664646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392387 minus -12.5?\nAnswer: 1392399.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-5)*4\/8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*x**2 - 28*x**2 - 28*x**2 - 35*x**2 - 719*x**3.\nAnswer: -719*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1447440 and -143\/352080?\nAnswer: 13026960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*h - 216, -3*h - h - 5*s = -270. Suppose 0 = -x + h + 545. What is the hundreds digit of (x\/(-20) + 4)*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 2:02 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 207000.\nAnswer: 206999.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8254468?\nAnswer: 2, 2063617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 12*z - 36 = 0. Suppose z*g - 67 + 43 = 0. What is the least common multiple of g and 34?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04952 less than 3919371446?\nAnswer: 3919371446.04952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(2 - (0 - -1)). Let t(l) = -l**2 - 28*l - 136. Let m be t(-21). Suppose k*o + 2*o = 10, -4*o = c - m. Solve 2*a = -5*b, b + c*a = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 14.98. Let u = 41.38 - 41. Let p = r + u. Which is the smallest value? (a) 0.2 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 845838 and 1476.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -6*x**3\/11 - 22845642*x**2\/11 + 22845660*x\/11 + 45691296\/11 = 0.\nAnswer: -3807608, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4620600 a multiple of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -747 - -782. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2037*v + 1447*v + 12980 = 0 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*j**2 - 94*j**2 + 761 - 3*j**3 + 2*j**3 as f + s*j + c*j**2 + w*j**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 12*t - 1604. Let m = 147 - t. Let q(w) = -w**3 + 20*w**2 + 22*w - 17. What is the lowest common multiple of 11 and q(m)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38.45 - 38.4. Let y(c) = -3*c**2 + 24*c - 32. Let q be y(6). Sort x, -4, q in descending order.\nAnswer: q, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-148)\/(-555))\/((-12)\/10). Let j = -3.2 + 3.36. Let y = 0.26 - j. What is the nearest to 2 in 1\/7, y, q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275268471 divided by -24837.\nAnswer: 11083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 62766 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 t(j) = -21*j**2. Let n(g) be the second derivative of 91*g**3\/6 + 963*g. Determine t(n(l)).\nAnswer: -173901*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 11 = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 4 - 5*o + o**2 + 4 + 5. Let t(b) = b + 5. Let q be t(-5). Suppose q = s - 4. What is m(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 6*h - 11. Let y(v) = 1. Let r(d) = -y(d) - z(d). Let q be r(-7). Factor 4\/5*l**2 - 4\/5*l**q - 2\/5*l**4 + 2\/5*l - 2\/5 + 2\/5*l**5.\nAnswer: 2*(l - 1)**3*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 4:56 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 + t**2 + t**2)*(-11*t + 115*t + 379*t - 173*t + 467*t) to the form q + n*t + x*t**2 + i*t**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152260322 to the power of 1\/4, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 30*y + 1 - 364*y - y**3 - 4*y**3.\nAnswer: -2*y**3 - 394*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 = 8*z + 4*z. Let v be z\/165*(-20)\/8. Let x = 0.3 - -1.7. What is the nearest to -1\/2 in v, -1\/3, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u. Let p(s) = s**2 + 43*s + 138. Let z(w) = 4*c(w) - p(w). What is the units digit of z(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4*2)\/(-6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((198\/(-330))\/((-14)\/5))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 11 - 2. Let i = 61 - 257. What is the remainder when i\/(-8) - 1\/(-2) is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 396245 divided by -43\nAnswer: -9215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -5 (c) 129931\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-84 - (36 + -65 - -15)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(242) + sqrt(242)*-4)*1)**2 - -4*(-4 + (sqrt(4)\/sqrt(2) - sqrt(2)) + sqrt(2) - (sqrt(128) + -1)).\nAnswer: -358*sqrt(2) + 2191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**4\/12 + 5*v**3\/6 + v**2\/2 - 35*v. Give x(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 2\/(3 - 1). Let m = -7069.4 + 7118.4. Which is the second smallest value? (a) m (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 281 + -281. Suppose w - 2*c = 2*w - 9, n = w + 3*c - 11. Solve -w = 3*a - r, -5*r + 13 = -a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pspispvssssvssspsss. What is prob of picking 2 v?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -231 + 233. Let n(g) = -34*g**f - g - 20 + 20 - 21*g**2. Let d(b) = b. What is n(d(t))?\nAnswer: -55*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3979583 nanoseconds to microseconds.\nAnswer: 0.0003979583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + 6*w - 5*w**2)*(166 + 75 - 84).\nAnswer: -785*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1076057*x**2 + 3*x**3 + 2790*x - 2790*x - 1076076*x**2.\nAnswer: 3*x**3 - 19*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -918*h + 20371 + 8087 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*f, 4*l + f + f - 10 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51.7 - -47. Let z = -5 - c. Let l = z + 0.29999991. What is l rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10170 and 21890134.\nAnswer: 985056030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(3\/189*-3). What is the derivative of 10*u + n - 148 + 20*u + 52 wrt u?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315 and 4005?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-6)\/9)*(-24)\/(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4 - 7995*s**3 - 6096816*s**2 - 1011369084*s - 31203857760 = 0. Calculate s.\nAnswer: -1226, -173, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -352 + 12677\/36. Let t(v) be the second derivative of 0 - 7\/18*v**3 + 1\/3*v**2 - 3*v + k*v**4. Factor t(s).\nAnswer: (s - 1)*(5*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -31.874?\nAnswer: 31.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 63*z - 102. Let n be v(45). What is the lowest common multiple of (80\/6)\/((-2)\/(-6)) and 174\/(-957) + (n\/(-11))\/(-2)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70415?\nAnswer: 5, 14083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131 - -1154?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40446488 divided by 5.\nAnswer: -40446488\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 + 15*k**4 - 37*k - 6 + 37*k wrt k?\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h. Let s be p(-3). Solve s*i + 2*i - 20 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -9*i + 1. Let n = 24 + -23. Give m(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**2 + 59*b - 32. What is the remainder when 95 is divided by w(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.545 or 0.02?\nAnswer: 2.545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48062 is divided by 46?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 7*k**2 + 6*k - 2. Let l be y(-5). Calculate the greatest common divisor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*s - 2*s - 36. Let p be ((-407)\/44)\/((-1)\/4). Suppose 0 = -5*g - 25, -g = 6*q - 4*q - p. Solve -z = -3*o - 4*z + q, s = 3*o - 3*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485041189 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 28.00000155. What is q rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103300.9 + 225.\nAnswer: -103075.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*w + 13441 + 98*w**2 + 83*w**2 + 81*w**2 - 243*w**2 wrt w?\nAnswer: 38*w - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12748 - -12748. Let q be 2\/12*-2*-9. Let j(w) = w + 3. Let f be j(q). Which is the closest to y? (a) -0.1 (b) f (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17108373.\nAnswer: 3, 31, 71, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyk when four letters picked without replacement from lkylkyykkyy?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*33*(-12)\/270.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q + j - 7 = 0, -5*j + 21 = q. Let l be q - (-1 + (-10)\/(-4)). What is the nearest to -2 in 4, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/5*2*(-5)\/70?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 8, 16, 7\/3, -5 in decreasing order.\nAnswer: 16, 8, 7\/3, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1190906?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4818, -9740, -14662?\n\"Answer: -4922*g + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 276 = -2*m - m, m + 2*z = 104. Let q(a) = 3*a - 3*a + m*a**2 - 95*a**2. Does 20 divide q(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(2\/7)*l)\/l)\/l)**(-20\/9)*((l\/(l\/(l\/(l\/(l*l**(2\/9))*l))))\/l)\/l**3 assuming l is positive.\nAnswer: l**(-46\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-7 - -6)) + 0 - (-1 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1333*g**6 + 1787*g**2 wrt g?\nAnswer: -159960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000100101 (base 2) to base 11.\nAnswer: 45a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 3. Suppose -c - 2*h = -5 - 8, -4*h = -3*c - 1. Solve 14 = 3*s - b*s + c*d, 5*d = -5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 104, 0.4, -34 in decreasing order.\nAnswer: 104, 0.4, 0, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*m + 11, 71*a = 66*a - 25. Let p(x) = -x**3 - 3*x**2 + 5*x + 6. Let i be p(-4). Let s be 46\/(-8) + i\/(-8). Is s at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698196 to the power of 1\/2, to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*a - 1674 - 20738 - 5712 = 0 for a.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8670284?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*j, -7*j = -2*s - 2*j - 12. Calculate the greatest common factor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -14*(4 + (-90)\/21). Suppose 4*j + i = 11, -5*i + 2 + 5 = 4*j. Solve -17 = -j*k - 5*a, o*k - a = -4*a + 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -763*f**4 + 1570*f**4 - 3*f**2 - 808*f**4 - 4*f - f**3 + 3 as i*f + p*f**2 + u*f**4 + w + x*f**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + y - 3*x = 3*y - 60, 0 = -2*y - x + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 not equal to 206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-3)\/18*-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64*c**3*r*z**5 - 2*c**3*r*z**2 - 7*c**3*z**4 + 21*c**3*z**2 - 6*r*z wrt z?\nAnswer: 3840*c**3*r*z**2 - 168*c**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141 + 3. Let b = x + 1008. Suppose 0 = 2*q - b + 3270. Round q to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -223 + 220. Sort s, 16, -4 in descending order.\nAnswer: 16, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120591 + 121933.597. Let j = l - 1344. What is j rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -349 + 523. Let y(h) = h**2 + 48*h - 1102. Let n be y(-65). Calculate the greatest common factor of n and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -5, -7\/5, -21, -0.4, -12 in ascending order.\nAnswer: -21, -12, -5, -3\/2, -7\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -1706 and -83 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190039118, -190039133, -190039174, -190039253, -190039382, -190039573, -190039838?\nAnswer: -190040189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 19 - 1 = 52 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -179587.\nAnswer: -2\/179587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 25 = 0, 0 = j + 5*f - 6 + 33. Sort 5, j, 3\/4.\nAnswer: j, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 834 and 1231818?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-141 + 134 + 3*2)*0. Solve 4*y + 5*q - 7 = s, y + 2*q - 3*q - 4 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -134, 980, 4010, 9916, 19658?\n\"Answer: 160*z**3 - 2*z**2 - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 1994.92444.\nAnswer: 1995.22444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.2 + 6. Let j = -5.4 + 6.9. Let r = j + i. Which is the third biggest value? (a) 2\/3 (b) 1\/10 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/182)\/(147\/343).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-384)\/(-120)*(-30)\/(-12)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -158b97 - -22?\nAnswer: -158b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 871620*l - 1 - 871606*l - 53*l**2 + 0 to w + u*l + v*l**2 and give v.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -67, 227, 749, 1541, 2645, 4103, 5957?\n\"Answer: 7*y**3 + 72*y**2 + 29*y - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o*o**(1\/2)\/o*o*o)\/o)\/o**8)\/(o**(-1))**(-17\/2))**(4\/11) assuming o is positive.\nAnswer: o**(-56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 18107348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/4*(-24)\/9. Let t(m) = -3*m - 3. Let l(k) = k + 1. Calculate q*t(g) + 17*l(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w. Suppose 2*i - 5*i = 4*j + 41, -3*i = j + 8. Let a = -7 - j. Suppose -a*x = -2*l - 6, -5*l = -3*l + 2*x - 6. What is z(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + 0 + (15 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 12*x = 0. Sort 1, 4, x, -5 in ascending order.\nAnswer: -5, x, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 388295*v**3 - 2*v - 19320 wrt v.\nAnswer: 2329770*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j - 45. Let n = -5402 - -5400. Let a(i) = -2*i - 11. Determine n*w(u) + 9*a(u).\nAnswer: -2*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4 - 6 - 4*w**2 + w**3 - 6 - 7*w. Let j be y(6). Let k = j - 12. Calculate the remainder when 18 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 8420 - 2*i - 4210 - 4210.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8995, 9857, 10719, 11581?\n\"Answer: 862*r + 8133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2226867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15784.\nAnswer: 2, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 19. Let p = 1 + b. Let n be (8 + p)\/(6\/4). Solve 0 = -3*d + 8*f - 3*f + 10, n*d = -3*f - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18464, -37134, -55822, -74528, -93252?\nAnswer: -111994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 423514163, 423514161, 423514159, 423514157, 423514155, 423514153?\n\"Answer: -2*u + 423514165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o**2 + 685*o - 1859. What is w(-100)?\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*s + 9. Suppose h = s*h. Let m = 4.38 - 0.38. Which is the nearest to -1\/2? (a) -0.4 (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 5:01 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-14 - -3 - (-1 + -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 0*n + n)*(3*n**2 - n**2 - n**2) + 7*n**3 - 7*n**3 - 2*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - 13ceb?\nAnswer: -13cde","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-8) - (-1 + 2*2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 417*h**2 - h - 4033 wrt h.\nAnswer: 834*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 217524 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -120, -190, -272, -366?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + (-210)\/(-90).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.45 - -0.0627.\nAnswer: -0.3873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/(-4) + -3)\/(6\/(-36)). Let k = y - -66. What is the remainder when k is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-1239))\/(50\/(-35))*5.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 23*z - 45. Let k be l(2). Suppose 4*j + 4*p = k*p + 3699, -3 = -3*p. What are the prime factors of j?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -51*d + 45. Is 23 a factor of a(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/79370 and -27\/995.\nAnswer: 15794630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 + 62 = 3*a + 4*i, 0 = 3*a - 2*i - 157. Suppose y - 335 = -a. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 5)\/(3\/16). Suppose 2*o + 94 = 5*j, -j - 5*o = -h - 19. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -35*d**3 - d**2 - 6*d. Let b(x) = -71*x**3 - 2*x**2 - 13*x. Let g(r) = 6*b(r) - 13*z(r). What is the third derivative of g(m) wrt m?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*k + 56*k + 658 = 0. Let w = -27 + -30. Let h = k + w. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -240\/7 in -10, 3\/7, -0.5, -3\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {e: 2, z: 7, q: 3}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80*m**3*z**2 + 10*m**3*z - m**2*z**2 - 38*m**2*z - 11*m*z wrt m.\nAnswer: 480*z**2 + 60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -504237, -1008468, -1512691, -2016906, -2521113, -3025312, -3529503?\n\"Answer: 4*w**2 - 504243*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3097 - 3092. Which is the second smallest value? (a) -6 (b) j (c) 0.1 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2692 + -3258\nAnswer: -3258.2692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/429 and 29\/53.\nAnswer: 22737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -0.0179.\nAnswer: 0.00358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 27. Do d and -1 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17068216.4 less than -4611?\nAnswer: 17063605.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*m - 7 = 30, 4*q - 5*m = -35. Sort q, -4, 3 in decreasing order.\nAnswer: 3, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(1900) + 0 + (sqrt(76) - (-1*sqrt(76)*1 - sqrt(76)))\/sqrt(4))**2*-2.\nAnswer: -12860 + 208*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f - 2. Let c be -69*(-3)\/27 + 4\/12. Let u(a) = 12*a - 3. Calculate c*s(z) - 5*u(z).\nAnswer: 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -17, 4, 45, 112?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 65655384, 131310763, 196966136, 262621503, 328276864?\n\"Answer: -3*t**2 + 65655388*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -586498, -1173145, -1759792, -2346439, -2933086?\n\"Answer: -586647*s + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*3*-4)\/(sqrt(66)\/(4*sqrt(11)*-3)).\nAnswer: 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3530 or 3531?\nAnswer: 3531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 25*g**2 + 9*g + 2. What is the tens digit of s(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + x = 1, -71*n + 73*n = 5*x - 68 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/21 + (-1 - (-1112)\/28). Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 4.2. Let x be 3 + 3\/2*492\/(-234). Which is the second biggest value? (a) v (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5360000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8141440 divided by -2035360.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 1. Let d = 54 - 32. Let s(b) = 5 + 0 + 5 + 12*b. Let r(h) = h + 2. Let g be r(-4). Determine d*l(p) + g*s(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14999, -60005, -135029, -240083, -375179, -540329, -735545, -960839?\nAnswer: -1216223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -419466064.9767.\nAnswer: -419466065.0767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 27. What is the units digit of (-3)\/(f\/16)*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3511467 + -6405767. Round k to the nearest 10000.\nAnswer: -2890000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 93877*s**2 - 6*s - 15. Let d be w(-7). Round d to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 0*v**2 + 0*v**4 + 0*v**3 + v - 1\/42*v**7 + 0*v**6 + 1\/20*v**5 + 0. Find j such that z(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 7*p - 5. What is b(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -5, -1\/3, 1\/25 in descending order.\nAnswer: 1\/25, -1\/3, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 943 - 428. Let t = z - 317. Suppose -5*f - 25 = 0, 2*j + 4*f = -f + 19. Calculate the highest common factor of j and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/10176 and -53\/10272.\nAnswer: 1088832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 22. Let k = 14 + -19. Let x = s - k. Which is the third biggest value? (a) -0.5 (b) x (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-16)\/14)*-4. Let v(o) = -o**2 + 9*o - 12. Let l be v(n). Let s = 11 + l. Is 10 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 9. Let v be (g - 1) + -2 + 0. Suppose v*p + 35 = 6*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (525\/315)\/(40\/104)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -14. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*o**3 - 31*o**2 + 4*o - 73 wrt o.\nAnswer: -42*o - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 5. Let o(k) = k + 4. Let h(t) = 5*i(t) - 6*o(t). Let n be h(2). What is the units digit of n\/((-6)\/(-3))*-14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 8:08 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**6\/10 - 17*c**5\/8 - 25*c**4\/8 - 2*c + 5072. Let x(j) = 0. What is j?\nAnswer: -5\/6, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g*s**2*t + 4*g*s*t - 2*g - 13*s**3*t - s*t wrt s.\nAnswer: -8*g*t - 78*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 17277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1185 - 784*s + 187 - s**4 - s**3 - 79*s**3 - 3*s**4 - 504*s**2 = 0. Calculate s.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**3\/2 + 16*p**2 - 266*p + 1. Determine z(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 10 - 1 = 0. Suppose -m - 2*m = -n. Suppose 0 = -4*w + 4*j + 32, 2*w - 20 = -m*w - 5*j. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -27. Solve h + s = -3*l, -3*l + 10 = -2*h - 4*l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 4828745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -4, 3\/2545, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 737 - 719 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rru when three letters picked without replacement from rru?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2 - 8*i + 11. Let m be (-1 + -1 - -6)*1. Suppose -5*j - m + 19 = 0. Let w(q) = 2*q**2 - 3*q + 4. What is j*r(c) - 8*w(c)?\nAnswer: 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 2 + 4 + -18.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 29*p**2 - 2*p + 77. Determine g(29).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 7. Let x = 7 - 2. Give c(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.002 - 0.098. What is the closest to h in -1\/2, 3, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 7*a**2 - 7*a + 5. Let w be l(-6). Let t(k) = k**2 + k. Let j(r) = r**3 - 6*r**2 + 17*r + 1. Let v(o) = -j(o) + 6*t(o). Give v(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2233*m**2 + 38*m**3 - 4609*m**2 + 2376*m**2.\nAnswer: 38*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 7920.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/496 and 83\/686278.\nAnswer: 5490224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*x**2 + 3*x**4 + 16*x**3 + 5*x**2 + x**4 + 2 + 5*x - 10*x**2 - 5*x**5.\nAnswer: -(x - 1)**3*(x + 2)*(5*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468 divided by 3.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 29. Let q = 0 + 0. Suppose 3*z = -q*z + 96. Calculate the remainder when z is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 11:49 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + ((sqrt(98) - (sqrt(98) + (sqrt(98) + sqrt(98)*1)**2))*3 - (sqrt(98) + (-6*(-1 + sqrt(98)))**2))).\nAnswer: -497*sqrt(2) + 4740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106 and 194.\nAnswer: 10282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6*v - 2*o + 654 = 0, 0 = 4*v - 4*o - 892. Calculate the highest common divisor of 3190 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 57757274 - -4?\nAnswer: 57757278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16583138 a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12211 less than -5.1?\nAnswer: -12216.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Let l = 1616\/4947 + 11\/1649. What is the nearest to 2 in -5, l, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 17135 + 14575. Calculate the highest common factor of h and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 46. Let x = i - -12. What is the smallest value in x, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**2 + 353680425*u - 353680420 = 0.\nAnswer: 1, 70736084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 2\/5 (c) 1 (d) 0 (e) 1123 (f) -6 (g) 17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306739223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 7:13 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/225 and 58\/11575.\nAnswer: 104175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -5. Let g(m) = 2*m**2 + 4*m - 5. Let n be g(t). Let j = n - 9. Solve -b + 2 = -f, 4*f + j*b + 4 = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 4. Let t be v\/3 - 2\/(-3). Suppose 3*d - 2*w - t*w = 119, 3*d - 5*w - 124 = 0. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 0.04 (c) 1\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - -2*sqrt(228))\/sqrt(12) - (sqrt(1216)*-1)**2.\nAnswer: -1216 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 5*f + 3645, 2*q + 0*f = f - 1455. Let r = -4445\/6 - q. Find the common denominator of r and -79\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/10256 and -85\/56.\nAnswer: 71792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (6 + -2 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -350, -362, -390, -440, -518?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/8 - -7\/8. Let n = -4\/289 - -305\/1156. Suppose -3\/4*w**3 - n*w**4 - 1\/4*w**2 + 3\/4*w + u = 0. What is w?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 27. Let v be p\/6 + (-4)\/((-216)\/171). Solve 5 = 3*c - 2*z + 1, -4*c + z = v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/848 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(26\/(-39))\/((-2)\/(-9)). Solve 8 = -z*k + k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 6*x**5 + 20*x**2 + 42. Find the second derivative of y(l) wrt l.\nAnswer: 360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.65 and 400094?\nAnswer: -260061.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2774574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8\/2 - 2 - 6\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 40, -2, 71, 0 in decreasing order.\nAnswer: 71, 40, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02053839113 to six decimal places.\nAnswer: -0.020538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 49*y - 10. Let l(f) = -f**3 - 4*f**2 - 2*f - 4. Let m(h) = -1. Let x(b) = -l(b) + 2*m(b). Let w be x(-3). Is t(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 - x + 5*x + 5*x**3)*(-6*x + 16*x - 8*x).\nAnswer: 2*x**4 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662378733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n**2 + 4 + 14*n**3 + 22*n**3 + 5*n + 20*n**3 + 12*n**3 - 67*n**3. Let i(v) = -v**3 + 5*v**2 + 7*v - 1. Let z be i(6). Determine h(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 4. Let h(z) = -2*z - 3. What is -6*h(a) - 5*l(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -x - 7, -4 + 0 = 2*x - 4*o. Let i(l) = 5*l + 3*l**2 + 2*l**2 - 2*l**3 + 1 + 3*l**3. Give i(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = n + 12, -4*n + 4 = -g. Calculate the highest common factor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 295728 - 56779631\/192. What is the common denominator of q and -77\/36?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g - 2*g + a, 10 = 3*g + a. Let v be (23\/g)\/((-2)\/(-4)). Let l = v - 12. Solve 5*c - l = 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - n + 2*n - n**2 + 110.\nAnswer: -n**2 + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -22155?\nAnswer: 29\/22155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1231, -2915, -4599, -6283?\nAnswer: -7967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k = -5. Suppose k = 2*g + 19. Is (-2)\/(-2*(-3)\/g) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 7\/2 (b) -5\/6 (c) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 133.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -10, 4*w + t = 6*w + 12. Let o = -8 - -13. Let s = o - w. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534990624 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*k**6 + 37*k**2 - 11*k**6 - 4*k**6 wrt k?\nAnswer: -4440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**4 + 4*v**3 + 746 with respect to v.\nAnswer: 8*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.2 at most -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1498*m + 1510*m = 0. Solve m = -18*y - 25 + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 9*q - 21. Let v(j) = -j + 2. Let n(m) = 2*u(m) + 21*v(m). Let w(z) = -z**2. Let o(r) = 3*r**2. Let t(l) = 3*o(l) + 7*w(l). Calculate t(n(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 6*u + 0*u)*(2 + 3 - 6) + 27 + 6*u - 27.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -0.06, -56, 0.2, -1\/4954 in increasing order.\nAnswer: -56, -0.06, -1\/4954, 0.2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8089934 * -4\nAnswer: 32359736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -228 - -179. Let y(m) = m**3 - 2*m**2 - 8*m - 5. Let r be y(6). Let a = r + o. Is a a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6129 and 11?\nAnswer: 67419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, -1, 2, 1, 0, 11, 9 in descending order.\nAnswer: 64, 11, 9, 2, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/357884 and 9\/608.\nAnswer: 2863072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*h = 3*h - 1320, -266 = -i + h. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 m, and 1 n when four letters picked without replacement from {d: 1, w: 2, m: 2, f: 3, n: 1, r: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (5 - 13 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.15, -2, -4?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 - 8*k + 3. Is b(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1184 and 351872.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/6)*v*v**(-1\/8)*v)**(4\/7) assuming v is positive.\nAnswer: v**(25\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50370231 - -71893231. Round p to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/2 + -1*1. Let z(r) = r**2 + 8*r + 6. Let o be z(-6). Let h = o + d. Let s(j) = -j**3 - 3*j**2 + 5*j + 3. Give s(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 1, -2, 0, 25, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3\/13, -3, 1372, -31 in ascending order.\nAnswer: -31, -3, 0.1, 3\/13, 1372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ygygygyygy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (92 - 47) + 0 + -1. Solve 38*v - 24 = g*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -7 (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 1 - (-112)\/7. Let z = -24 + m. Let p = z - -13. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = -7*h + 38 + 28. Solve 0 = h*w - 12, 5*w - 10 = 56*t - 54*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 3*v - v - 1 + 1 - 5 - v + 5 + (-2 + v + 2)*(-2 + 0 + 1) + (-v - 3*v + 3*v)*(1 - 2 + 2) in the form n + x*v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 1. Let w(f) be the third derivative of 3*f**5\/20 - 5*f**4\/24 + 5*f**3\/6 + 2108*f**2. Let j(q) = -8*q**2 + 4*q - 4. Give l*j(h) - 4*w(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqlh when four letters picked without replacement from yqqldeh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 8. Let y be i(-3). Solve y*c + v + 4 = 3, c + 3*v + 8 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 1\/20*o**5 + 0*o**2 - 94*o + 0*o**3 + 0 - 1\/6*o**4. Let u(d) = -2*d**3 + 7*d**2 + d. What is 7*l(z) + 2*u(z)?\nAnswer: 3*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 3*q**7\/14 + 7*q**4\/6 + 23*q. What is the third derivative of g(r) wrt r?\nAnswer: 540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 5. Let o = g + -1. Which is the nearest to 1? (a) 0.5 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 8:57 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 146\/511 - (2 + 248\/(-14)). Suppose -c = 103*g - 105*g. What is the remainder when 71 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/8*0 + 26. Solve 22*u + 4 = v*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -107970.7892 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 5*q + 55. Let v = q + -30. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 63\/(-105) - (-43)\/5. Suppose 17 + 15 = 4*j. Let v = j - 4. Solve v*s + y = -8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 34*x - 5. Does 9 divide a(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -4, -3, 14, -383 in descending order.\nAnswer: 14, -3, -4, -33, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5135 (base 6) in base 9?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -14.3707\nAnswer: 28.7414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -17*z - 77, -4*z + 358614*w = 358617*w + 44 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3446 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5623803 is divided by 4528.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 - 48. Let m = 92 - p. Suppose 0 = 2*b - 13 - m. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -19 + -8 - (13 + -2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-26)\/182)\/((-14)\/1526*1).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11248, -11253, -11262, -11275?\nAnswer: -11292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 0.094292, 18?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r - 27. Let d be f(8). Suppose 9*y - d*y = 1192. Suppose -32 = -15*q + y. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90981 (base 12) to base 6.\nAnswer: 4010241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**6\/200 + 3*a**5\/25 + 11*a**4\/40 - 39*a**2 - 4*a. What is x in o(x) = 0?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/25 and -36\/175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 30\/7, -46, 21\/2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.38, 55, -1\/3, 2770, -3\/5, -2\/9?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylgkyyuykiky. What is prob of picking 1 u and 1 y?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(2 - 3) + 3. What are the prime factors of (-34 + -4)*(-1)\/z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 3 + 20 - 9 + 5*h as z*h + v and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -178650 divided by 7146\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -717, -928, -109, 2250, 6659, 13628, 23667, 37286?\nAnswer: 54995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 7:46 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m. Let t = 22 + -20. Let x(p) be the third derivative of 0*p**3 + 0*p + 0 - t*p**2 + 1\/12*p**4. Calculate x(r(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 15*b**2 - b + 12. Let a be o(15). Let d = -1446 + 974. Let u be a\/(-15) + d\/(-40). Solve 4*f - x - 3 = -u, 4*x = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 104\/127?\nAnswer: 104\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-6)\/(-2))\/(150\/50)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -201380\/13 - -15506. Which is the biggest value? (a) 0.4 (b) u (c) -3\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000368 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 22. Suppose 79 + a = 5*b. Suppose -3*v + v + b = 0. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y - 81 + 81)*((5 + 5 - 4)*(5 - 1 - 5) + 0 + 1 + 1).\nAnswer: 32*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**3 - 3*h**2 - 4. Calculate v(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 224121\nAnswer: -22412.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*v = -3*v - 30, 0 = 2*s + 5*v - 33. Let x(z) = -2*z - 13. Let u be x(-11). Are s and u nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 45.54116 days?\nAnswer: 3934756224000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, -2, 5, 2, 12, -1 in increasing order.\nAnswer: -2, -1, 2, 5, 12, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18029.661 - 3\nAnswer: 18026.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Suppose 0 = -3*k - f*k - 12. Is (-138)\/(-9)*(-42)\/k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/495*1*66)\/(4\/(-10))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*j**2 - 2738\/3 - 148\/3*j.\nAnswer: -2*(j + 37)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -697 (base 16) to base 5\nAnswer: -23222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4*r - 34 = 0, -4*p + 47*r = -11*p + 2*p + p - 224 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -c - r, -r - 17 + 28 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/2843?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -5, -49374, -43 in ascending order.\nAnswer: -49374, -43, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118304 = -26*c - 6*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2490 is divided by 609.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p + 21*p + 628 = 0. Let i = p + -141. Calculate the greatest common divisor of 32 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36.92 + -0.08. Let n = 421.7 + -385. Let l = n + v. What is the biggest value in l, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**3*g)\/(g\/(g\/g**(-6)))*g**(-5)*g**(-3\/4)\/g*((g*g**(-2\/13))\/(g\/g**(-3\/2)*g))**(21\/8) assuming g is positive.\nAnswer: g**(-565\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1744, 3493, 5242, 6991?\n\"Answer: 1749*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 51 - 57. Let t = u + -19. Suppose a = -4*a. Solve -2*i + a*i - t = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3486.392 to the nearest ten.\nAnswer: -3490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93\/42 + 30*16\/(-672))\/(3\/(-26))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*j**3 + 44607*j**2 + 54116755*j - 2877171171.\nAnswer: (j - 51)*(3*j + 7511)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 6*m**2 - 9*m + 14. Let r be z(7). Let c = 3 + 1. Suppose r = -i - c*u + 17, -3*u + 0*u - 154 = -5*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641159 is divided by 106851.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -17\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*i + 6*i. Let w = 26 - 25.8. Which is the closest to -1? (a) w (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 2*l - 2. Let q be (77\/(-21) + 4)*-3. Let f(g) = g**2 - g + 1. Let w(n) = q*z(n) - 2*f(n). Let c(b) = -2*b**2. What is c(w(d))?\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1637 + -1535. Calculate the greatest common divisor of o and 390.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 1. Let z(d) = d + 6. Let l be z(n). Solve -l*x + 15 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1600732.070171 - -1600731. Let w = n + 1.07. What is w rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one quarters of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -74, -64, -26, 52, 182?\n\"Answer: 2*u**3 + 2*u**2 - 10*u - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747*b + 1913*b + 2779*b + 88136 = 113*b for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -155 + 1212?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, y: 2, m: 2, k: 1, s: 1}. What is prob of sequence smbk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12417?\nAnswer: 3, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**12)\/q**(-2\/35)*q\/(q*q**(-2\/31))*q**(-3\/8))**(-17) assuming q is positive.\nAnswer: q**(-1880897\/8680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l = 0. Suppose l = -2*q + 4 + 8. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760053.\nAnswer: 3, 7, 17, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5556.4999974007 - 5556.5. What is q rounded to seven dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3636, 3627, 3606, 3567, 3504, 3411, 3282?\n\"Answer: -v**3 - 2*v + 3639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*t + 4*b + b, 4*t - 88 = -b. Solve -2*l = -2*x - 3*x + t, l = -1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02444464 rounded to four dps?\nAnswer: -0.0244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(720))**2*-3.\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 5*j**2 - 2*j - 10. Let d be v(-5). Suppose d = 4*a - 8, 0 = -4*r + 3*a - 8*a + 386. Let z = -57 + r. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -3, 3.36, -0.3.\nAnswer: -5, -3, -0.3, 1, 3.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*s**3*z**4 + 539*s**3*z**3 + 46261*s**3*z wrt z?\nAnswer: -360*s**3*z**2 + 3234*s**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**15*k*k*k)\/(k**(-1\/9)\/k))\/(k**(-5)\/k)**(1\/3))**(-33) assuming k is positive.\nAnswer: k**(-2090\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -9 - 3, -3 = 3*n - 2*z. Let y be 2*2 - (3 - n). Let p = 20 - y. What is the lowest common multiple of 8 and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79245 is divided by 127.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 915 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + 23?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4944 and 614910.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125 + 56 - 4)*(3*y**2 - 2*y**2 - 3*y**2).\nAnswer: -354*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**8\/336 - 13*l**7\/840 - l**6\/32 - 7*l**5\/240 - l**4\/96 + 20*l**2. Factor g(y).\nAnswer: -y*(y + 1)**3*(4*y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*d - 22 + 9 + 13 as u + b*d and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2065, 8292, 18677, 33226, 51945, 74840, 101917?\n\"Answer: w**3 + 2073*w**2 + w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -13*j - 490. Let n be d(-38). Solve -45 + 33 = -n*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4 - 14*b**4 + 4*b**3 + 7*b**4 + b**4 + 6*b**3 = 0. What is b?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2943*k. Let b(z) = 2*z**2 - 7. Give s(b(n)).\nAnswer: 5886*n**2 - 20601","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461024?\nAnswer: 2, 14407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 4:32 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78372 and 27.\nAnswer: 235116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39120095, -78240191, -117360287, -156480383?\nAnswer: -195600479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62230 and 76685?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 3*i + 4*a + 213, -5*a - 63 = -2*i + 201 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 154434242 - 2?\nAnswer: 154434240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508735?\nAnswer: 5, 101747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 951\/271 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -90 + 2 + 0 + -349 + 365.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 31, 72, 141, 244, 387, 576?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 12, l: 1}. Give prob of picking 2 q.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -88302 (b) -0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -4. Suppose -90 = 7*a + 29. Let f = v - a. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -426466?\nAnswer: -426462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktgmh. What is prob of sequence mtgk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j + 2. Let i(x) = -12*x + 5. Let w(q) = 3*i(q) - 8*p(q). Let t be w(-1). Let o(g) = -g**t - 7 + 0*g**2 + g + 0*g**2. Determine o(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -320367*h + 617898 wrt h?\nAnswer: -320367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1164154?\nAnswer: 2, 41, 14197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**7\/42 + q**3\/3 + 7*q. What is the second derivative of x(d) wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 3*a**2 + 30*a - 10. Give j(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from {s: 3, i: 1, k: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5454852.\nAnswer: 2, 3, 13, 73, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 4)\/(3 - 2). Suppose 0 = 3*y - 3*i + 90, -3*y - i - 90 = z*i. What is y rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -10110?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 7 - p + 5 + 4.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1438 - -2073. Suppose 60*q - 59*q = j. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4739970273 to the nearest integer?\nAnswer: 68847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4074270 = 4*j, -7*v + 2*v + 20371434 = j. Suppose -5*k - h - 5999998 = 0, 4*h - v = 3*k - 474278. What is k rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32835 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 4193154.\nAnswer: 4193154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-67*(-3)\/(420\/7))\/(300\/1500)\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -55*a + 889. Let m(v) = -8*v - 5. Give 2*k(t) - 14*m(t).\nAnswer: 2*t + 1848","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3901, -9, -16 in increasing order.\nAnswer: -3901, -16, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93 + 49245\/(-1072) - ((-3)\/18)\/(8\/(-3))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 19 = 5*q, 0*q - 148 = -4*m + 4*q. Let f = 48 - m. Solve 3*d - u - 4 + f = 0, -4*u = -4*d - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -580 = -5*r - 2*p, -5*r + 610 = -0*r - 4*p. Let x be (165\/44)\/(1\/4). What is the remainder when r is divided by (40\/x)\/((-2)\/(-2*9))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 664439928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/144*-1*12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*c, c + 15*b - 11 = 13*b. Let f(z) be the second derivative of -1\/2*z**4 - 1\/15*z**6 - 3\/10*z**c - 1\/3*z**3 + 13*z + 0 + 0*z**2. Factor f(s).\nAnswer: -2*s*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 3*f - 75, -55803*m + 55805*m + 5*f + 49 = 0 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 - 38040638*j + 228243836\/3.\nAnswer: -2*(j - 2)*(j + 57060959)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 3421221020*p - 585237663384492020.\nAnswer: -5*(p - 342122102)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 0.3. Let g = 6122\/17 - 360. What is the second smallest value in -4, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 + 369. What is the lowest common multiple of g and 25?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1126*q**3 + 2248*q**3 - 1103*q**3.\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067268 a multiple of 453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/12 - (-870864)\/(-36). Round d to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -46, -1, -4 in decreasing order.\nAnswer: 2, -1, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -789 = -18*o + 795. What is the remainder when o is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 362150727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20454 + 20454. Put i, 19, -2, 3, -31 in ascending order.\nAnswer: -31, -2, i, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, o: 4, h: 2, p: 4, l: 4}. What is prob of sequence koho?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**2 + 317*v**3 + v - 316*v**3 + 4*v. Suppose -7*a = -g - 11*a + 24, -3*g - 8 = -4*a. What is s(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 898928183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 26*u**2 + 3*u + 2. Let w be k(-3). Suppose 3*d + 330 = -o + 5*o, 0 = -2*d + 5*o - w. Find the common denominator of (d\/10)\/((-3)\/(-3)) and -31.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 37*h**4\/12 + h**3\/3 - 2*h**2 - 14*h. Let d(z) = 75*z**2 + 5*z - 8. Let y(c) = 2*d(c) - 5*p(c). Differentiate y(i) wrt i.\nAnswer: -70*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11, 56, 113, 188, 287, 416, 581, 788?\n\"Answer: f**3 + 38*f - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100 + 50. Let n be -1 + -3 + -47 + 0. Which is smaller: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -9, 0.1, -8 in descending order.\nAnswer: 2\/3, 0.1, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*a - 149, 0 = -5*d + 5*a - 10 + 150. Suppose -d*m = 4*m + 7854. Is -238 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**3 - 19*f**2\/2 - 16*f. Let o be h(-4). Solve -3*q - 17 = -o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 28. Let m be (-34)\/(-3) + 0 - 8\/(-12). Let i be u(m). Suppose 17 = -i*a + 25. Put -4, -1, -5, a in ascending order.\nAnswer: -5, -4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*u - 532*u = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50782989.\nAnswer: 3, 181, 93523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 697 divided by -6.\nAnswer: -697\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*j - 481 + 481)*(1 - 1 + 2*j) + (-j + 0 + 0)*(-2*j + 4*j - 4*j) + 260*j**2 - 19*j**2 + 34*j**2 in the form l + r*j**2 + z*j and give r.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + -1*sqrt(187))\/sqrt(11) - sqrt(17)*-1*4.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 (base 9) in base 5?\nAnswer: 3342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35238012 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 744600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(13) - sqrt(351)\/sqrt(3)).\nAnswer: -2*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19464592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 133*p + 2*p**3 - p**2 + 3*p**3 - 133*p in the form x*p + o*p**3 + n + j*p**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12*(5 - (-19)\/(-3)). Calculate the highest common factor of g and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -57\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9 + 19)\/(0 + 2). Suppose 2 = 6*p - t*p. What is the smallest common multiple of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -224613 or -224603?\nAnswer: -224613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 238322 a multiple of 587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2244, -2246, -2256, -2280, -2324, -2394, -2496?\nAnswer: -2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4552953121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -230132 and 0.234.\nAnswer: -53850.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5410 or 5411?\nAnswer: 5411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 10 + 11 + -16\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 3, 43, 34 in increasing order.\nAnswer: 0, 3, 5, 34, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -90\/7? (a) 0.4 (b) 5 (c) -0.2 (d) 1.6 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 67*m**2 + 1675*m + 670. Let z(x) = x**2 + 20*x + 8. Let r(h) = 4*b(h) - 335*z(h). Let q(l) = 8*l + 3. Determine r(q(y)).\nAnswer: -4288*y**2 - 3216*y - 603","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69950 divided by -25.\nAnswer: 2798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7730 by -2.\nAnswer: -3865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3056362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i - 71*i**4 + 209*i**4 - 2*i**2 + 2 + 5*i**3 - 69*i**4 - 71*i**4 in the form t*i**4 + q*i**2 + m + k*i**3 + h*i and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25633489 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5 - 9*k**4 + 282*k**3 - 576*k**2 - 864*k = 0. Calculate k.\nAnswer: -12, -1, 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 311448119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 + 83*x**2 - 83*x**2 - 58*x**3 - 74*x**3.\nAnswer: -139*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229248576?\nAnswer: 2, 3, 132667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 9*i**2 + 138*i + 42. Let c be d(-17). Let o(p) be the first derivative of -c + 98\/39*p**3 + 8\/13*p - 28\/13*p**2. Factor o(a).\nAnswer: 2*(7*a - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/9 + 3364*b\/9 + 3358\/3.\nAnswer: 2*(b + 3)*(b + 1679)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, -149, -146, -141, -134, -125, -114?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**3 + 27*z + 37. Let s(t) be the first derivative of r(t). Let g(o) = 8*o**2. What is s(g(b))?\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 8*d + 10. Let i be (-72)\/(-154) + 2\/(-7). Let p be 4\/(-3) + (-16 - -16). Sort p, d, i in descending order.\nAnswer: d, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nddd when four letters picked without replacement from {s: 6, d: 3, n: 1, z: 7}.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 14. Let t = h + 3. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (19 - -2)\/((-6)\/4). Let k = z - -14. Find the second derivative of -6*n - 2*n**3 + 4*n + k*n**3 wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*s + 8 = 0, 0 = -4*y - s + 201 - 198 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3419 and 93365.\nAnswer: 1213745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201221011211212 + 12?\nAnswer: 1201221011212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-1))\/((-6)\/(-8)). Suppose -24 = -i*p + 6*d - 2*d, -3*p + 16 = -4*d. Does 17 divide (-135)\/(-4) + 2\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/982 and -83\/4.\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 56*d**2 + d. Let s(p) = 25*p**2 - 6. Determine y(s(u)).\nAnswer: 35000*u**4 - 16775*u**2 + 2010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*c = -51*c - 334 + 1610 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g = 5*g + 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -20. Suppose 0 = s*m - 5*f + 37, -2*f = -2*m - 0*m - 18. Let u(g) = 5*g**2 - 4. Let k(o) = -6*o**2 + 5. What is m*k(n) - 5*u(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 70289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 6 (b) 1\/14 (c) 25 (d) -2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 110 + 715*f - 4*f**2 - 716*f - f**2 + 0*f**2 wrt f?\nAnswer: -10*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0*p**5 + 0 + 0*p - 2*p**2 + 1\/6*p**3 + 0*p**6 - 1\/210*p**7 + 0*p**4. Differentiate f(i) wrt i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 2)*(94 - 293 + 18)*(-c - c + c).\nAnswer: -543*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 15 = -7*u - 37, 4*u + 28*p + 12 = 29*p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*q = -198*q - 14. Which is the closest to 0.1? (a) -1\/3 (b) -15 (c) q (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31814926 and 43780.\nAnswer: 318149260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19593*j*k**2 + j*k + 3520*k wrt k.\nAnswer: 39186*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 17245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - 51\/(-9)) + 3783\/9?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 4 + m - 42 + 7 + 14 + 13.\nAnswer: m + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - q - 7. Let z be l(-2). Solve -79 + 82 = -z*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 3*c**2 + 9*c + 3*c**2 + 2*c**2 + 0*c - 7*c**2 to the form k*c + n*c**2 + m and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1149 - -2279. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, k: 3}. Give prob of picking 4 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 413 - 410. Solve g + 4*g = x*c + 11, 5*c + 13 = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.16 in 575, -14, 28?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11031 by -3.\nAnswer: -3677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-2)\/((-6)\/(-3)). Let h be (-2)\/5 - (-2)\/5. Let c(r) = -r**2 + 2. Let s be c(h). Sort -5, v, s in decreasing order.\nAnswer: s, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -0.2, 23, -2\/13 in ascending order.\nAnswer: -15, -0.2, -2\/13, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 203*k**5 - 4*k + 50 wrt k?\nAnswer: 4060*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 506 divided by -68.\nAnswer: -253\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 98811?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1377)*2 + (3*(sqrt(1377) + 0) - sqrt(1377)) + 3 + (sqrt(1377) + -2 + 3 - ((-3 + sqrt(1377))*1 - sqrt(1377))))**2.\nAnswer: 900*sqrt(17) + 34525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 - 335590*c - 5631032405 = 0. What is c?\nAnswer: -33559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 13. Suppose 4*o - 3*o + 3*n = 12, -2*n = 3*o - 8. Suppose o = -29*i + 26*i + 21. Calculate the remainder when i is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22*(-20)\/(-95)*-19?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**3\/7 - 25348*y**2\/7 + 36645292*y\/7 + 11362270644\/7 = 0 for y.\nAnswer: -261, 3299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(198)*2)\/sqrt(11) + sqrt(18))\/sqrt(9))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4124 divided by -5\nAnswer: 4124\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Which is smaller: z or 14?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, -4, -2, -14, -46, -104, -194?\n\"Answer: -v**3 + 2*v**2 + 11*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 200 = -5*q, 0 = 2*r + 52*q - 47*q - 340. Which is the nearest to r? (a) 0 (b) 3 (c) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(637) + 2 + sqrt(637))*-5 - (sqrt(637) + -3*sqrt(637) + 5)*-4.\nAnswer: -56*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -155\/2 - -69. Let t = x + 13. Factor 0 + 3\/2*u**2 - t*u.\nAnswer: 3*u*(u - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/21 (b) 0.1 (c) 0 (d) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**4\/12 - i**2. Let a(h) = h + 2. Let d(j) = -1. Let p(t) = -a(t) - 2*d(t). Calculate -8*p(x) + 3*y(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11010110111001101 (base 2) to base 5\nAnswer: 12010104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 391853 + -186742. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*g**2 - 2*g + g + 46*g**2 + 41*g**2 + 4*g - 20 in the form f*g + x*g**2 + o and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4728878 rounded to 2 dps?\nAnswer: -7.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189259167 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*c - 9909 = 104*c - 2829 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56298543 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(6\/11)*o**(-5\/6)\/o)**19 assuming o is positive.\nAnswer: o**(-1615\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 45753933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**9\/63 - s**5\/5 - 8*s**2. Find the third derivative of o(f) wrt f.\nAnswer: 960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.7 - -3. Let p be 6\/((-3)\/(-3))*239\/7170. Which is the second smallest value? (a) p (b) 2 (c) x (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/44*(636 - -2). Calculate the highest common factor of 3074 and x.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 26075?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 2)*(-x + 6 - 6)*((-1 + 2 + 0)*(4 - 2 - 3) - 5 + 4 + 0).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -5. What is the tens digit of (-6)\/n*(-7 + -81)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.01 - -4.7. Let t = r - 0.99. Let w = t - 3.7. Sort 1, w, 1\/4 in descending order.\nAnswer: 1, 1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163 - 159. Suppose 12 = 8*o - 6*o + n*g, 0 = g - 1. Solve 2*r = -2*s + o, -5*r - 3 - 1 = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609107347?\nAnswer: 503, 1210949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*q**2 + q + 112 wrt q.\nAnswer: 36*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) -2 (c) -2\/3 (d) 4 (e) 5 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 13) to base 5\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -1\/4, 88617, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u + 30. Let c be h(0). Factor c*s**2 + 3*s**3 - 39*s - 96 + 1 + 29.\nAnswer: 3*(s - 2)*(s + 1)*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(2\/15)*z**(2\/15))\/((z**(-2\/13)\/z)\/(z\/z**(-2))))**16)**33 assuming z is positive.\nAnswer: z**(35376\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 7*k - 2*k**2 - k**3 - 2 + 18*k + 13*k to y + o*k**3 + c*k + j*k**2 and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 - -385\/4. Which is the nearest to 0.5? (a) 1\/7 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 2*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/2))**(-21))**(-2\/9) assuming d is positive.\nAnswer: d**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**3 + 2*c**3 + 8*c**3 - c - 2*c wrt c?\nAnswer: 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.23? (a) 5 (b) 0.3 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 22 + 5)*(-d**3 - d**3 + 3*d**3) - 3*d**3 + 5*d**3 + 0*d**3.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = x - 2*p, 4*p = -3 - 17. Calculate the lowest common multiple of x and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1987638828 to the power of 1\/2, to the nearest integer?\nAnswer: 44583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-2064)*(-3816)\/318?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 15, -2, -10 in ascending order.\nAnswer: -10, -2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1026 - -259576\/253. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*c - 30*c - 2*j - 2490748, 4*j = -3*c + 1868083. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + 20*a + 3. Let n be g(10). Suppose n*u - u = 6. Sort u, 0.3, 0.2 in descending order.\nAnswer: u, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 10*y + 4*q + 276, 3*y - 3*q + 27 + 36 = 0 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -13*c - 35. Let z(o) = 3*o + 9. Let a(l) = 2*y(l) + 9*z(l). Let m be a(-9). Find the second derivative of 12*d**5 - d - m*d - 9*d**5 wrt d.\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 5 - (5 + -13 + 5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 1 + 1)*(-18 + 10 + 14)*(-2 + 0 + 0).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o. Suppose 6*s - 30 = s + 3*g, 4*s = -2*g + 24. Let y(x) be the third derivative of x**4\/8 - 37*x**2. Let h(m) = s*a(m) - 7*y(m). What is h(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*q + 3*q - 455973. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 2359413.\nAnswer: 2359413.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s**2 + 7*s**2 + 9*s**2)*(-4 + 4 - 1)*(s + 0 + 0) in the form m*s + v*s**2 + r + u*s**3 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2066 - 241465?\nAnswer: -243542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by 27.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 7*z = 1256. What are the prime factors of z?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2\/3 - 75447344*t\/3 + 1423075429163584\/3 = 0. Calculate t.\nAnswer: 37723672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*u + 17049 = 1194*u - 18923 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*m + 20519*m**2 - 74*m + 199*m - 71*m.\nAnswer: 20519*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1038 and 214520.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/5)*z*z\/((z\/(z*z**2\/z))\/z))\/(((z\/(z\/z**(1\/10)))\/z)\/(z*z**5*z))*(z**(-9\/4)*z*z**(-1\/5)\/z)**(-36\/7) assuming z is positive.\nAnswer: z**(253\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - l + 9 + 0*l)*(0 - 4 + 2).\nAnswer: 2*l - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 32, 0.12 in descending order.\nAnswer: 32, 0.12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**3 + 5*d**2 - 2*d. Let q(x) = 6*x**3 - 6*x**2 + 2*x. Let u be 5\/(-3)*(11 - 14). Let t be 4*-2*u\/10. What is t*l(r) - 3*q(r)?\nAnswer: 2*r**3 - 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8350 divided by -1670?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1771a7 (base 12) to base 5.\nAnswer: -101000401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 9. Let a(y) = y - 9. Let v(p) = p**2 + 6*p + 2. Let q be v(-6). Let u(d) = q*t(d) - 3*a(d). Let f be u(-12). Which is smaller: -6 or f?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 327*k**2 - 665*k**2 + 331*k**2. Let w(r) = -3*r. Determine v(w(h)).\nAnswer: -63*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.3832*4\nAnswer: -5.5328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -101 times 0.0229\nAnswer: -2.3129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0*c + 0*c**3 + 0 + 5\/12*c**4 + 0*c**5 - 1\/210*c**7 + 0*c**6 - 7*c**2. Find the second derivative of r(v) wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**4\/4 + 3*s**2 - 6*s + 7. Let r(q) = -q**3 - 7*q + 7. Calculate -7*b(n) - 6*r(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 332934647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -401 and -408.8004.\nAnswer: -809.8004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.7735 centuries to years.\nAnswer: 3977.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/801288 and -23\/18?\nAnswer: 801288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 92781.82 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692400?\nAnswer: 2, 3, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r - 14. Let y be o(-4). Suppose -118 = -j - j + 2*i, 121 = y*j + i. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -3 + 1 - 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5253 divide 1447748054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 128*z + 2495. Give r(-20).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/832*13)\/1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 11:17 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j. Let k be m(-1). Let q(b) be the second derivative of -b**4\/12 + 5*b**3\/3 - 2*b**2 - b + 4. List the prime factors of q(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 691*l**2 - 7*l**4 + 7*l**4 - 1040*l**5 - 172*l**5 - 7*l**2 wrt l?\nAnswer: -72720*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 5 - 10) + (11 - (3 + 2)) - 13\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, 22, 124, 318, 634, 1102, 1752?\nAnswer: 2614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + ((-36)\/(-90))\/((-2)\/20). Let y(g) = 2*g + 5. Let m(b) = 5*b + 2. Let o(t) = 4*t + 2. Let q(i) = -3*m(i) + 4*o(i). Give f*y(h) - 8*q(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 9:24 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 329, 371, 441, 539, 665, 819?\n\"Answer: 14*j**2 + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 - 7*j**4 - 5*j**4 + (-4*j**2 + 3*j**2 + 3*j**2)*(j**2 + 3*j**2 - 3*j**2) + 28*j**2 - 7*j**2 - 14*j**2 - 4*j**4.\nAnswer: -15*j**4 + 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1496*q - 14944 = 35920 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/(-87))\/(6\/117)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25553.\nAnswer: 11, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 23 - 70 + 17*h**3 + 125*h + 47.\nAnswer: 17*h**3 + h**2 + 125*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/3287592 and -57\/68.\nAnswer: 55889064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*z**5 + 2*z**4 + 5*z**3 - 371*z - 1.\nAnswer: -120*z**3 + 24*z**2 + 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z + 2. What is d(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**5\/270 + o**4\/27 - 5*o**3\/27 + 4*o**2 - 17*o. Let x(j) be the first derivative of q(j). Factor x(m).\nAnswer: 2*(m - 1)*(m + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28\/2389 (b) 2\/7 (c) -6 (d) -1\/4 (e) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118 + 160. Calculate the greatest common factor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 127, 110, 75, 16, -73?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 49 + 4*x - 5*x)*(-12*x**2 + 0*x**2 + 31*x**2).\nAnswer: -19*x**3 + 228*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 3, b: 4, j: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3291\/7 + 471. Let c = 23.2 - 21.4. Put c, 0.5, y in ascending order.\nAnswer: 0.5, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521*q - 70 = -575*q + 92. Factor 0*z + 0 - 4\/3*z**q + 1\/3*z**4 + z**2.\nAnswer: z**2*(z - 3)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.922 + -2.522. What is the nearest to 0.1 in 76\/9, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 2 - 2)*(-3 + w + 2 + 2)*(-w - 2*w - w) - 18*w**2 - 4*w**2 + 2*w**2 in the form l*w + z + h*w**2 and give h.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2, -1 in increasing order.\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 11:26 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 17 + (25 - (31 - (4 - 2))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 9*p = 36. Is p + 3 - (-650)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + 29\/(-9))\/(26\/(-234)). Which is the biggest value? (a) -5 (b) -1\/4428 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let j(x) = -2*x**2 + 5*x. Let b(o) = -o**3 + 9*o**2 - 21*o. Let s(q) = 4*b(q) + 18*j(q). Suppose -205 + 457 = 21*t. Determine t*d(z) + 2*s(z).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*q + 443*q = -1754*q - 374*q + 26020 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -332630.9559 plus -1449?\nAnswer: -334079.9559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 453777 and -556.99.\nAnswer: 453220.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 639 and 66984453?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(2 + 52\/(-6)). Let b = -2 + 4. Suppose 2*o = -b*o + 5*s + 125, 4*o + 4*s = 116. Calculate the greatest common factor of o and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r**3 - 74*r**2 + 15*r + 143. Determine z(-6).\nAnswer: -1315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 86?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3600 and 2025?\nAnswer: 32400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*104\/(-36)*3. Let q be v\/3*15\/10. Let k = q + 79. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 13 (c) -0.532 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 447*r**2 + 453*r**2 + 0.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - (5 - 17)) + (0 - (-19 + -17)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188135674 to the nearest integer?\nAnswer: 13716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0*1\/6 + 112 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-74)\/(-177156)*126.\nAnswer: -9\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p + 1. Let l(y) = -6*y + 3. Let s(g) = 5*i(g) - 3*l(g). Give s(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.7385539558 + 81.35\nAnswer: 79.6114460442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 + 9*u**2 - u + 2. Let g(k) = -k**3 - k**2. Let m(o) = -o**3 + 45*o**2 + 824*o + 113. Let n be m(59). What is n*g(z) + d(z)?\nAnswer: 3*z**3 + 14*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*o = -132*o - v - 2, -4*o + 16 = 4*v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3235.\nAnswer: 5, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52107?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 228156090 by 3.\nAnswer: 76052030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196048 + 68952. Suppose -9*x = -14*x + g. Round x to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6008 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a2 - -5?\nAnswer: 2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -123, -4 in increasing order.\nAnswer: -123, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18141.32 and 3.\nAnswer: 54423.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**2 - 44*s - 52. Determine n(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9589 divided by -11\nAnswer: -9589\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 - 0.3. Let z = 29 + -15. Let n be 0 - ((-38)\/z + 3). Which is the nearest to n? (a) h (b) 0.2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -4. Calculate the common denominator of -61\/2 and u\/(-2) + (-39)\/24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 8*r + 12. Let q be (-16 - -22)\/(r*4\/(-6)). Find the second derivative of 2505*l**3 - 2475*l**3 + l**2 - q*l - l**2 wrt l.\nAnswer: 180*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36805 is divided by 172.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 20 = -5*v - 25, 2*v + 2 = 3*f. Suppose 2*a - 5*m - 3048 = -3*m, 4*a - 2*m - 6086 = f. What are the prime factors of a?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 2*x**2 + 6*x + 2. Let g be b(-5). Let w = 48 - g. Solve w = p - 0*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**3\/3 - p**2\/2 + 4*p + 109. Give b(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 37\/(-5))*2*-1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3193, 3309, 3511, 3805, 4197, 4693?\n\"Answer: l**3 + 37*l**2 - 2*l + 3157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/539 and 57\/833?\nAnswer: 9163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.7 - -0.7. Which is the nearest to -4? (a) -0.3 (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + 2*n**2 - 7*n**2)*(-3 + 5 + 1).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9*a**2 - 90*a + 105. Let v(o) = 4*o**2 - 36*o + 42. Let l(g) = 5*b(g) - 12*v(g). Let l(d) = 0. Calculate d.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one halves of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-585)\/(-234)*1\/(15\/102).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjqqeqkkkqeeeek. What is prob of picking 3 k and 1 e?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000011000 (base 2) to base 3.\nAnswer: -1102211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 12*n**2 + 16*n - 1. Determine t(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 15. Let q(h) = 39*h**2 - 1. Calculate y(q(l)).\nAnswer: 1521*l**4 - 78*l**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 0.3. Let h = -0.9 - 1.7. Let w = 1.6 + h. Which is the nearest to w? (a) 3 (b) n (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 4*x**3 + 2*x**3)*(3*x + 0*x - 4*x) + (0*x**2 - x**2 + 0*x**2)*(5*x**2 + 21 - 21) + (-x**3 + 0*x**3 + 2*x**3)*(-x + 3 - 3).\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 685 - 669. Solve 4*g + 5 = 5*t, 0 = 15*t - z*t + g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*9\/2*2. Suppose 34 = -7*l - 43. Let s = u + l. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**2 - 363*a**6 + 358*a**6 + 9*a**2 wrt a.\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3989 + 3991. Sort c, -0.5, -448, 0.1, -5 in decreasing order.\nAnswer: c, 0.1, -0.5, -5, -448","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1\/f*f**(-5))\/(f**2\/f)**(34\/3))**(9\/2) assuming f is positive.\nAnswer: f**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 76163 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.38*1\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - w + 4 - 2 + 2 - 2*w + (w + w + 5*w)*(1 - 1 - 3) + 2 - 2 + w.\nAnswer: -23*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27496374397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 at most as big as -4986\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.9784 - 0.0216. Put 9, -1, n, 0.4 in increasing order.\nAnswer: n, -1, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcc when three letters picked without replacement from {c: 2, n: 2, f: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 1\/11 (c) -0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*f + a - 9, -2*f - 4*a = -24. What is the smallest common multiple of ((-36)\/8 - -4) + 45\/10 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6743 + 6748. Which is the closest to -0.1? (a) -31 (b) -2\/11 (c) z (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -4. Suppose -5*m - 32 = -142. Let k be m\/14 + 0 + -2. Put u, 4, k in increasing order.\nAnswer: u, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-66)*45\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 17. Give j(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2. Let c(w) = w**3 - 5*w**2 + 2*w - 8. Let j be c(5). Let q(s) = 2 - 2*s - j + 0. What is q(n(u))?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3478 + 2068. Let x be l\/(-270) - 4\/18. Solve -13*j + 14*j = x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 2*t**2 + 6*t**3 + 0 + 4. Let w(u) = u**3 - u**2 + 1. Let m = -140 - -139. Determine m*s(p) + 4*w(p).\nAnswer: -p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 139 = -a - 0*s, -3*a - 2*s + 431 = 0. Calculate the greatest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -1, -831*u = -w - 835*u - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x = 4. Is (2 - (-2 - x)) + 4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3\/3 + 4*s + 16\/3 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 139\/2 + (-2)\/4. Let l = -132 + 155. What is the greatest common factor of j and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229, -185, -253, -553, -1205?\nAnswer: -2329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3630) - (sqrt(3630) - ((-3*sqrt(3630) - sqrt(3630)) + sqrt(3630))))*6)\/(sqrt(50)\/(sqrt(5) + sqrt(20)*4 + sqrt(5))).\nAnswer: -1980*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 1672739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -93336.93 rounded to the nearest one hundred?\nAnswer: -93300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d2 + 3?\nAnswer: 3d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -863 + 865. Suppose -s + 4*b = -22, -14 = -4*s + s - b. Solve 0 = s*k - k + 4*h + o, k - 2*h = -6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -10.62, -2, 0, -3, 948, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((1 + -4)\/(-42))\/((-1)\/8)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-8))\/((-51)\/136))\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 2*k**5\/45 + 7*k**4\/36 - 2*k**3\/9 - k**2. Factor b(g).\nAnswer: 2*(g + 2)*(4*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 4272*i - 257024.\nAnswer: -4*(i - 1004)*(i - 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g - 4. Let q be (0 + 1)\/(2\/(-6)). What is the remainder when 40 is divided by r(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 1. Let j be g(5). Suppose 41 - 11 = j*b. What is the remainder when 12 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 728*r - 166*r + 87*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*s + 123*s - 272*s.\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*j = -213*j + 19376 - 60398 for j.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1760 - -1487.9. What is r rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4739, -4738, -4731, -4712, -4675, -4614, -4523, -4396?\nAnswer: -4227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 22*z**3 - 4043*z**2 - 1370941*z - 154457927. Let y(o) = -5*o**3 + 1011*o**2 + 342735*o + 38614481. Let b(r) = -6*g(r) - 26*y(r). Factor b(q).\nAnswer: -2*(q + 338)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33629 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 293082 divided by -856.\nAnswer: -146541\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 10:17 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 3. Let r be w(-4). Calculate the greatest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 7*c**5 - 560*c + 1230. What is the derivative of x(f) wrt f?\nAnswer: 140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 8*o**2 + 13*o - 10. Let p be s(6). Suppose -a + 56 = a. What is the remainder when 4 is divided by (p\/(-7))\/(a\/98)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -79*u**2 + 9*u + 1. Let q(m) = 63*m**2 - 8*m - 1. Let a(z) = 6*p(z) + 7*q(z). Determine a(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1714*o**2 - 626*o.\nAnswer: -3428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/66516309 and 83\/135?\nAnswer: 332581545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, n: 3, r: 2, y: 2}. Give prob of sequence nr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = 63*w - 22*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 8*f**2 - 8*f - 1. Let n = -17 - -10. Let v be h(n). Let m = v + -3. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*g**5 - 68*g**4 - 15*g**3 - 9*g**2 - 3521*g wrt g.\nAnswer: 360*g**2 - 1632*g - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48\/5*i**2 + 128\/5 - 4\/5*i**3 - 144\/5*i.\nAnswer: -4*(i - 8)*(i - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 583275 and 202?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -273*m + 124*m + 130*m + 324 + 13*m to the form r + q*m and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + g)*(g - 6*g + 3*g) - 2*g**2 + 0*g**2 + g**2 + 1248*g**2 - 4183*g**2 - 3459*g**2 in the form q*g + p*g**2 + o and give p.\nAnswer: -6397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -11*c**6\/120 + c**4\/3 - 19*c**3\/3 + 16*c**2 - 2. Let g(o) = 4*o**3 - 3*o + 13. Calculate -8*g(v) - 3*l(v).\nAnswer: v**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -103664*u**2 + 62. Let t(y) = -8293*y**2 + 5. What is 5*c(o) - 62*t(o)?\nAnswer: -4154*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -313*z**3 - 221 wrt z.\nAnswer: -939*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186369 by -8103.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 + 26. Let m = a - -43. Are m and 2 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/924 and -115\/1078.\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6029657?\nAnswer: 23, 317, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -20, 1.6, -14.7?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -16. Let v be ((-4)\/y)\/(5\/175). Suppose 0 = 4*x - 8 - v. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2. Let z(n) be the second derivative of -29*n**3\/6 + 44*n. Give z(r(s)).\nAnswer: 58*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t\/(t**(-2\/7)*t)*t)*t**(1\/3)*t)\/((t\/(t*t\/(t**(2\/13)*t)))\/(t*t**(-2)\/t)))**(-1\/8) assuming t is positive.\nAnswer: t**(151\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/13? (a) -3\/7 (b) 0.7 (c) 2\/15 (d) 12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -430 divided by 344.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*x = 0, -4*x = -6*x. Sort f, -5, 4, -4 in descending order.\nAnswer: 4, f, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/((9\/(-3))\/(-96)))\/2. Does 19 divide ((-6)\/(-3))\/(-4) - (-1832)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*w)*(370 - 370 - 359*w**2) + 3*w**3 + 2*w**3 - 4*w**3.\nAnswer: -717*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 106863629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7494*0.5.\nAnswer: -3747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*u**2 - 10*b**3 - 15*b**2*u + b*u - 10*b + 7*u**2 wrt b?\nAnswer: 18*b*u**2 - 60*b - 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.267351802 rounded to one dp?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160516942 to the power of 1\/2, to the nearest integer?\nAnswer: 34066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01 or -9202?\nAnswer: -9202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 316 and 1395851.\nAnswer: 5583404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*q**4 - 5*q*z - 736*z with respect to q.\nAnswer: -96*q**3 - 5*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2978*k + 3009*k - 14917*k + 2975*k + 2978*k + 2976*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**3*v**3 + 40748209*d**2*v**3 + 2*v**3 + 3*v**2 + 16*v - 216167 wrt d?\nAnswer: 6*d**2*v**3 + 81496418*d*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 261 + -180. Suppose 3*o - w = -d, 4*o - w + 94 = -15. Let r be 1\/(-4) + (-63)\/o. Solve r = -g + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 0 - (-13 + (-10 - (-12 + -28)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71831980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*l = 820 + 1280. Let c(g) = -g**3 - g**2 - g + 20. What is the least common multiple of l and c(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, 0.05, 1\/9, -7.\nAnswer: -7, -5, -0.4, 0.05, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.46555625 to 3 dps.\nAnswer: 10.466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 82 + -735aa?\nAnswer: -73528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17664*g - 143685 = 29064 + 21555 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/((6\/(-2))\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, x: 3, n: 2, z: 4}. What is prob of sequence dzxn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -429*q**2 - 27*q + 27. Let r(f) = 33*f**2 + 2*f - 2. Let s(i) = 2*a(i) + 27*r(i). Let c(o) = 5 - 4692*o**2 - 5 + 4693*o**2. Determine s(c(b)).\nAnswer: 33*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -97.5, 6, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8953922161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -19. Solve -4*k = -3*q + 17, b*q + 0*k + 3*k + 20 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 17, 14, 11, 8, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6279337067 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 - 83 = -l + 4*q, -l - q = -247. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2 - 2)*(3*y**2 + 2*y**2 + 4*y**2) - y**3 + 4*y**3 - 2*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30302165045 - -4?\nAnswer: -30302165041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 7:03 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7525 and 51246755.\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -23\/2, -0.1, -2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 140483087 to the power of 1\/3, to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + 130\/(180\/(-18)). What is the nearest to -4 in -2\/9, -190, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2 + 7 + 4*q - 1. Let i = -6296 + 6343. What is the remainder when i is divided by t(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*n = -2*n + 4, -3*u + 20 = -5*n. Suppose u = 3*s - 9 - 9. What is the units digit of 24\/5*45\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34176 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-4 + -36 - ((12 - 13 - 7) + 8)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or 15069.594?\nAnswer: 15069.594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**3 + 468*o**2 + 18060*o + 229276 = 0. Calculate o.\nAnswer: -43, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2332 (base 4) to base 15\nAnswer: -ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, h: 1, i: 7, y: 4, v: 2}. What is prob of picking 2 y and 1 i?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 2030?\nAnswer: -2040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29193707 != -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-204 - 271 + 81)*(0 + 0 - n) to the form t*n + j and give t.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14532 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = -2. Suppose c - 21 = x. Suppose -d + c = p + 3*p, 48 = 5*d - 4*p. Solve -d = 5*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**4 + 16928148*r**3 - 17910145633441*r**2 + 17910132937332*r - 4477532176324 = 0.\nAnswer: 1\/2, 2116018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(3)*2 + (sqrt(3) + sqrt(30)\/(sqrt(1000) + sqrt(10)))**2 + 5 + 1 + sqrt(243)*-1.\nAnswer: -7*sqrt(3) + 1642\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1276*z + 1343*z - 2633*z + 3.\nAnswer: -14*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 14 - 11)*(5 - 5 - 12*a) - a + 7*a - 2*a.\nAnswer: -236*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 6:28 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -21003?\nAnswer: 21006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -132513 + 3?\nAnswer: -132510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 135*z + 47*z - 178*z**2 + 59*z - 176*z**2 in the form a + d*z**2 + y*z and give y.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*-7)\/1 + 0. Let t = -0.0617 + -50.3383. Let j = 49.4 + t. Which is the closest to j? (a) -4 (b) -2\/11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)*b**(-2\/17))**(3\/22) assuming b is positive.\nAnswer: b**(-261\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -709, -713, -717, -721, -725, -729?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/27)\/(10\/(-25)))\/((-20)\/(-432)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1113993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 2:57 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.7 rounded to 1 decimal place?\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 - 66*i**3 + 112.\nAnswer: -66*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyy when three letters picked without replacement from {w: 6, y: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 6*t + 11. Let s be i(-4). Suppose -4*p + 64 = -2*c - s*c, 2*c + 8 = 0. Suppose 4*n = -q - p, 2 = -5*q - 4*n - 5. Does q = -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.043*2.65\nAnswer: -0.11395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**6\/360 - t**5\/30 - t**4\/6 + 2*t**3\/3 + 47. Let v(j) be the third derivative of p(j). Determine h, given that v(h) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24644*d = 24636*d - 80 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 4523*z**4\/12 + 4927*z**3\/6 + 64*z. Find the second derivative of w(a) wrt a.\nAnswer: 9046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 8*s + 11. Let n be u(10). What is the greatest common divisor of n and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*z = -790, -3*q + 0*z + 2382 = -3*z. Let f be 4\/(-6) - (-2 + q\/(-9)). Let o = f + 3. List the prime factors of o.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143\/5 - (1298\/118 + 8)\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + 47 + -51 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67\/15 - -24\/5. Let b = -68.4 - -16.4. Which is bigger: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 1)\/(14\/2). Let b = 8.87 - -0.13. Let p = b + -9.1. Is p < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-4))\/(4\/6). Let h = 6 - 10. Which is the smallest value? (a) h (b) v (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 405.5 + -405.2. Let u = 109\/5 + -22. What is the nearest to 2 in -0.4, 1, q, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 968492.\nAnswer: 9684920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 29.98329 years?\nAnswer: 0.02998329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -5 + 11. Let c(p) = 2*p**2 + 14*p + 15. Let y be c(0). Solve z = -4*w - y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t**2 + 5*t**2 - 9*t**2 + t**2.\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 496 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1*114\/(-1216)*32\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*f**3\/5 + 4328*f**2\/5 + 86172*f\/5 - 37728\/5 = 0. What is f?\nAnswer: -131, -24, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51774705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129504.\nAnswer: 2, 3, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21175 divided by 275.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-3))\/l**(-25))\/((((l*l**(3\/26)\/l)\/l)\/l)\/(l**(-14\/3)*l)) assuming l is positive.\nAnswer: l**(2123\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*s + 97 = -4*s, 3*f - 284 = 4*s. Calculate the remainder when f is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*k**3 - 2666162*k**2 + 2666162*k**2.\nAnswer: -4*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 8 - 3. Suppose -43 + 4 = -x*l - y, -4*l - y + 31 = 0. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896 = -30*h + 1884 - 4640 for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 28. Let q be j(16). Suppose 91250 = 25*g + 92750. Is g bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:05 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15003153 to the power of 1\/2, to the nearest integer?\nAnswer: 3873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61598 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 3*d**2 - 4. Suppose 3*c = y + 9, -c = -2*c + 2. Let o(f) = 4*f**3 + 7*f**2 + 9. Suppose -6*w - 295 = -253. Determine w*k(n) + y*o(n).\nAnswer: 2*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**5\/60 + 13*b**4\/24 - 7*b**3\/3 + 18*b**2. Calculate the lowest common multiple of w(-15) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - (sqrt(1331) - (sqrt(1331) - (-5*3*sqrt(1331) - sqrt(1331))))) + 4*sqrt(1331)*3)**2 + 4.\nAnswer: 1119375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*g - 3*v - 85 = 0, 0 = -5*g + 410*v - 406*v + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 823, -2\/3, -3558.3, 0.2.\nAnswer: -3558.3, -2\/3, 0.2, 823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - -5 - 35) + 19 + (0 - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28891.9 + -28892. Which is the nearest to -5? (a) 3 (b) 14\/5 (c) 0.2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 328580940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63533134751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083 divided by -361?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 5*t + 13, -l - 4*t + 14 = -6*t. Let f be ((-2)\/l)\/(4\/(-152)). What is the greatest common factor of f and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -g + 17, 12*s - 7*s - 27 = -g. Let m = 16 + -11. Suppose -z + 17 = 7*y - 2*y, -m*y + 3 = -z. Calculate the least common multiple of g and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 3*h**2 + h + 4. Calculate the remainder when 46 is divided by q(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/5, -0.5, 0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 4*x**2 + 5*x - 4. Let c(t) = t**3 + 27*t**2 - t - 22. Let j be c(-27). Determine l(j).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -1\/4*q**4 - 5\/3*q**3 + 5*q + 1 + 0*q**2. Suppose 1279*y = 1272*y - 35. Give d(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, p: 1, v: 2, k: 3, t: 1, f: 3}. What is prob of sequence kp?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -12062.01798 to the nearest 100.\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 302*f + 35. Is d(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 50*q. Let m(d) be the third derivative of d**4\/8 - 22*d**2. Let g(p) = -4*p. Let o(x) = -5*g(x) - 6*m(x). Give l(o(j)).\nAnswer: 100*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 362 = -2*s, -3*g + 357 = 3*s - 186. Let r = -176 + s. Let p(c) = -c**3 + 4*c**2 + 6*c + 6. Calculate p(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005 is divided by 999.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*s - 104 = 0, 0*s - s - 199 = 4*k. Let j = 102 + k. What is the least common multiple of 4 and j?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484084371.\nAnswer: 3, 107, 1508051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*k**3*x*y**2 + 121225*k**3*x*y + 3*k**2*x - 14749*k*y**2 + 31*x*y**2 wrt k.\nAnswer: 54*x*y**2 + 727350*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13524069967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27797.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 9*o**2 + o + 13. Let j be y(-9). Suppose -3*m + 2*h + 3 = -j*m, h = 3*m + 9. Let w = 2 + -4. Do m and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/267982 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-100)*16\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f = -36*f - 5*f + 11*f + 2242 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence esn when three letters picked without replacement from {g: 1, n: 3, s: 2, e: 4, f: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 5*a - 1. Let f be j(5). Let o be ((-3)\/9)\/((1\/(-7))\/((-1185)\/553)). What is the closest to 0.2 in 2\/23, o, f?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1201*i = -1204*i - 306. Is 2 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*y = 2 - 5, 0 = -2*h - 3*y + 18. Find the third derivative of -37*k**2 - 3*k**6 + 3874*k**4 - 2*k**h - 3874*k**4 wrt k.\nAnswer: -360*k**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14082317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 353444 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2 + 8. Let j be 27\/(-12)*16\/(-6). Solve -o*t - j = -0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/6 - 185*y\/3 - 123\/2 = 0.\nAnswer: -369, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.464.\nAnswer: -0.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -5.6295\nAnswer: -11.259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*y - 41*y = 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (794 + 2636 + 1112 - 282)*(3*g**5 + g**4 - 2*g**5 - 5*g**5).\nAnswer: -17040*g**5 + 4260*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -178 + -3. Let c = -173 - g. Solve 2*q - 4*q = -c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2, 4*u - 2*s + 6 = 2. Suppose -n + 3 = h - u*n, -24 = -4*h + 2*n. Suppose -h*f + 162 = 22. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1174, 1122, 1068, 1012, 954, 894?\n\"Answer: -c**2 - 49*c + 1224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -163564339 and 8.8.\nAnswer: -163564330.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - ((26 - -2) + 5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/112*1*(-4)\/2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 7*a**4\/12 + 12*a**2. Let z(j) = -2*j**2. Determine y(z(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1, 0, -4, 23 in decreasing order.\nAnswer: 23, 0, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-350)\/140)\/((-2)\/244). Let v = -303 + g. Solve -1 = -v*w + 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -8 (c) -0.1 (d) 0.006208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - 2 + 0*z + 4)*(-16*z**2 - 18*z**2 + 3*z**2) in the form g*z**3 + l*z + b + s*z**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/2 - 9*g**3 + 33*g + 45\/2.\nAnswer: 3*(g - 5)*(g - 3)*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*b + 33188 - 7024 = -1023*b for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -12*p. Let o(x) = -56*x**2 - 68*x. Let j(i) = -5*i**2 - 6*i. Let u(d) = 68*j(d) - 6*o(d). Give v(u(w)).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -857818*o**3 - 4262371.\nAnswer: -2573454*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-24))\/((-112)\/(-256))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(187)*-1 - (sqrt(187) + (4*sqrt(187)*-2 - sqrt(187))))\/(-1*sqrt(396)*1 + -4*sqrt(396)*1).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2906436 rounded to the nearest ten thousand?\nAnswer: -2910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 170268726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 2788453.\nAnswer: 7\/2788453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**4\/24 - n**3\/3 + n**2. Let t(z) = 3*z + 1. Let b be t(-2). Let l be i(b). Solve -4*w - 11 = -l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193 = -59*z + 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 10*y**2 + 11*y + 5. Let l be h(-11). Suppose -t = 3*r - 10 - 1, 0 = -2*r - l*t + 3. Which is the nearest to 1? (a) 2\/7 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 - 7*u + 6. Let r(h) = -2*h**2 - 6*h - 1. Let t(v) = -2*v**2 - 6*v. Let w(l) = -5*r(l) + 6*t(l). Give 5*b(d) - 6*w(d).\nAnswer: -3*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1298 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -28607328 + 0.04\nAnswer: -28607327.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48.3 - 48.2. What is the second smallest value in s, 8, -8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**2 + 122*i + 230. What is the remainder when z(32) is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 less than -906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.05258 + -36\nAnswer: -36.05258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*x**4 - 86*x**4 - 50*x**4 - 982*x**2 + 19*x**2 + x**5 wrt x.\nAnswer: 60*x**2 - 3552*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f - 1444 + 1444.\nAnswer: 19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(11) + sqrt(22)\/(sqrt(6)\/sqrt(3)) - sqrt(11)) - -2*(sqrt(1100) + -2 + sqrt(1100)))*6)**2.\nAnswer: -17712*sqrt(11) + 666972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2*a - 310*a**3 - 162*a**3 + 3 + 377*a**3.\nAnswer: -95*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*j - 13, -3*j + 7 = z - 2*j. Solve -l + 0 = -z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 37. Let x be z(6). Suppose q - 13 = -m, 3*q + q - 3*m - x = 0. Suppose -j = -4*j + 6. Solve j*y + q = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**4\/8 + y**2 - 1. Let b(q) be the second derivative of p(q). Let k(w) = 3 - 3 - w**2. Give b(k(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 7:31 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 33*l**2 + 3*l - 73. Let i be h(33). Let g = 50 - i. Calculate the remainder when 94 is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -1. Suppose m*i - 10 = 4*i. Suppose a + 4 = -i*j + 3, 121 = 4*a - 5*j. Calculate the greatest common divisor of a and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**2\/f**(-1\/4)*f**(-4)*f**0\/f*(f\/f**3)\/f**(-2)*f*f\/(f**(2\/7)*f)*f*f*f*(f*f\/(f\/(f**4*f)))\/f assuming f is positive.\nAnswer: f**(167\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.703904 decades in millennia?\nAnswer: 0.08703904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 2*o - 2*r, -4*o + 4*r - 5*r - 270 = 0. Let m = o - -77. Suppose -m*x + 1971 = -0*x. Does 66 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339288688?\nAnswer: 2, 21205543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 - 52*v**2 - 55*v - 56. Let p(k) = k**3 - 14*k**2 + 22*k - 1. Let i be p(12). Let g be h(i). What is the highest common factor of 161 and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 10*d - 7. Let x be g(-9). Suppose 0 = -w + 5. Find the third derivative of x*j**2 - 2*j**w - 5*j + 5*j wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4174 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: Simplify (t**(-4\/5)*(t*(((t\/(t*t\/t**(1\/21)))\/t)\/t)\/t*t*t)\/t*t)\/((t**1\/t)\/t)**35 assuming t is positive.\nAnswer: t**(3491\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 9*x**2 + 14*x - 18. Let u be m(10). Let a be 2\/1 + 0 + 1. Solve -7 = a*r - u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44.84 - 46.84. Which is the second biggest value? (a) 0.505 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j - 3 + 3 - 2. Let m(g) = g**2 + 7*g + 8. Let d be m(-4). What is the remainder when 48 is divided by b(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 721*s - 201231. Give d(-215).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37161665.\nAnswer: 5, 619, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 8, f: 2, v: 1, y: 2}. Give prob of picking 1 v and 1 y.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 206\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 3*v - 2. Suppose -2*o = 5*w - 19, 0 = -4*w - 5*o + 33 - 11. Calculate u(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 305 + -5 - (2 + 6 + -2 + -15). Solve -3*z = -307*x + w*x + 1, 3*z + 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (-7)\/(-2)*(-51)\/(9282\/(-832))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/78708782 and 83\/14.\nAnswer: 550961474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 9. Let p be v(7). Suppose p*o = 10, 4*r + 2*o = -26 + 132. Is r\/(-16)*((-920)\/3 + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321341 (base 7) in base 13?\nAnswer: -1c4ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 6*b - 2. Let x be r(-6). Suppose 3*m - 55 = 5*a, 4*m - 2*a - 68 = 2*a. Calculate the remainder when 52 - x - (2 - 6) is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8927, -17883, -26855, -35843, -44847, -53867?\n\"Answer: -8*v**2 - 8932*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 980*l + 60930. Calculate f(-62).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 558654 and 4182.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -402*i**2 - 519*i?\nAnswer: -804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5665429, -11330831, -16996219, -22661587, -28326929, -33992239, -39657511?\n\"Answer: o**3 + o**2 - 5665412*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2087506 and 2?\nAnswer: 2087506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 336, -3 in descending order.\nAnswer: 336, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 148 = 16*i. Let u = 82 - i. Let j = -199 - -217. Calculate the remainder when j is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*(q*q**1*q)\/q*q*q)*q*q)\/q*q**(5\/6)*q\/q**(1\/2)*q*q*q\/((q\/((q**(-1\/4)*q)\/q))\/q) assuming q is positive.\nAnswer: q**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32\/3 + 229\/24. Calculate the common denominator of v and 33\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -78247*x + 9. Calculate j(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1792)\/(-1344)*(54 + 0). Solve -3*v = 3*k, -z*k = -v - 76*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(4\/(-18))\/((-42)\/(-315))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 3*g + 3. Suppose -h - 3*h = -8. Let l be y(h). Solve -l - 1 = 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -0.2, -2, 7, 0.097 in descending order.\nAnswer: 7, 0.097, -0.2, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**4 - 208864*n**3 + 626564*n**2 - 417704*n = 0. Calculate n.\nAnswer: 0, 1, 2, 52213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -7.944. Let q = -0.11 + t. Let l = q + 0.05. What is l rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -131333*b**4 - 12*b*i**3 - 8138556*i**3 with respect to b.\nAnswer: -525332*b**3 - 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69894*i**4 + 155915 wrt i?\nAnswer: -279576*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6701651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.408945 and 1608.\nAnswer: 1607.591055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -24*u**3 - u**2 - u - 1. Let k = -18 - -22. Suppose -c + 2 = -4*y, -6*c = -4*c + k. What is the tens digit of d(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91 - 1 - (-10 + 10) - (807 + -815)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15a (base 11) in base 8?\nAnswer: -272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 17*x - 13. Let w be j(-14). Let u be (240\/(-3))\/((-2)\/w). Let t = 1719 - u. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2\/2 - 7257*b - 14515\/2 = 0?\nAnswer: -1, 14515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 10 = -0*i. Let f = i - -1. Suppose -41 = f*g - 125. What is the remainder when g is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l - 1449 + 622 + 827.\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f*k - 93*f + 11*k wrt k?\nAnswer: 4*f + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 201 + -92. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002151 to seven dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(3\/11))\/k**9)**(-1\/7) assuming k is positive.\nAnswer: k**(74\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 7:52 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**3 - 5*j**2 - 15*j - 14. Let l be v(15). Let i = 41264 + l. What is i rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 n, 1 e, and 1 d when four letters picked without replacement from zzzzjeezzeqnezzznzzd.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11184255 times 5\nAnswer: -55921275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*c*q**2 + 10*c + 57*q**3 - 156*q wrt q.\nAnswer: -64*c + 342*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1374 divided by -2356\nAnswer: 687\/1178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2068 - -1787.8. Let i = 280 + v. What is the nearest to i in 0.05, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*z**3 - 40*z**3 + 94*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.52 plus -178152?\nAnswer: -178150.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97237 (base 11) to base 12.\nAnswer: -69988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -40*f**4 + 6575*f**3 + 256150*f**2 - 1599725*f - 1849260 = 0.\nAnswer: -37, -1, 51\/8, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 33 = -6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*g**2*n**3 + g**2*n + 141*g*n**3 - n wrt g.\nAnswer: 46*n**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9)*((-225)\/4)\/((-423)\/282).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 1, 4 in decreasing order.\nAnswer: 4, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 578616.2 litres to millilitres.\nAnswer: 578616200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1122)\/(9 - 1419\/154)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 divided by 51?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 8*j = -16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (0 + -4 - -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*o = 4844*o - 603*o - 88958 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1118961 to the nearest integer?\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9942690 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4017, 2, -1\/3, -16\/13, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 6*p**2 - 12*p - 21. Give y(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*sqrt(539))**2 + -3).\nAnswer: -12918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 124570 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 430 and 5375?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 12*n = 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 6*r - 8. Let v be y(-8). Calculate the greatest common divisor of v and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) 1\/4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 37*h**2. Let a(b) be the first derivative of -b**5\/30 - 15*b**2\/2 - 18. Let u(c) be the second derivative of a(c). Calculate n(u(x)).\nAnswer: 148*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59 in 18.2, 4, 1?\nAnswer: 18.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 29*t**2 + 33*t + 56. Let z be j(30). What is the greatest common divisor of z and 730?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -120, -119?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -322, -530, -832, -1234, -1742?\nAnswer: -2362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 276 and 644?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -1774?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 10 = -6*f + f, 3*c = 5*f + 30. Solve -4*r - 3*n + 6 = -0, 0 = -4*r + 5*n - c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*y - 36 + 114 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-12\/17) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/2734 and 9\/5?\nAnswer: 13670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*s - 9*s - 1159*s - 2341*s.\nAnswer: -3876*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11\/4 + 37\/12. Suppose -439*d = -447*d - 24. Which is the closest to 2? (a) u (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57796.\nAnswer: 2, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**(-1)\/k))*k**1)\/(k*k\/(k\/((k*((k**2*k)\/k)\/k)\/k*k)*k)*k*k**5))**40 assuming k is positive.\nAnswer: k**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2713*y + 3184 wrt y.\nAnswer: 2713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 0 + 0 + 0 - n**2. Let m(u) = 4*u**2 + 0*u**2 - 5 + 5. What is m(p(c))?\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + p + p + 52, 3*p = 4*z - 108. Suppose -3*v = v - 8. Let w(o) = 2*o**3 - 1. Let u be w(v). Calculate the greatest common divisor of u and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 5:52 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 l, and 1 s when four letters picked without replacement from rlrvs?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**4 - 1821505*l**3 + 16617327*l**2.\nAnswer: -72*l - 10929030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72548021 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = h - 3*g, 5*g - 22 = h - 6. Suppose 3*u - 68 = -3*o - o, 0 = 2*u - h*o - 32. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**6*k**(1\/4)*k**(-6)\/k*k\/k**(2\/5))\/((k**(-3\/5)*k)\/(k\/(k**(-5)*k))*(k*k**(1\/3)\/k)**(-39)) assuming k is positive.\nAnswer: k**(129\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 6. Let v be j(2). Find the first derivative of -v + 32*l**4 - 4 + 29 + 8*l**4 wrt l.\nAnswer: 160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/5 + 23336*h**3\/5 - 68047772*h**2\/5 - 27233112*h - 13618890.\nAnswer: -2*(h - 5835)**2*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 178 and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 7, 2\/17, 2\/35, 0.2, 6 in decreasing order.\nAnswer: 7, 6, 2\/5, 0.2, 2\/17, 2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -455336 divided by -8\nAnswer: 56917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -871.7 - -872. Put v, -1, 6\/13 in decreasing order.\nAnswer: 6\/13, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, -17, -86, -201, -368, -593?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**3 + 0 - 1 - s**3. Let c = 21078 - 21079. Let g be i(c). Put -2\/9, g, 2, -0.1 in increasing order.\nAnswer: g, -2\/9, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*m = d + 20, -48 = -4*m - 4*d. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13888 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from xrrrrpp.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = -0*g - 2*g - 5*o - 125, 647*g - 2*o = 651*g + 226 for g.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 12) to base 5\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1 (b) 39 (c) -3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 6, j: 7}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.2, 16, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {v: 1, h: 2, f: 2, k: 5, s: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**6\/6 + 12*v**5\/35 - v**4\/7 - 2*v**3\/3 - 3*v**2\/14 + 2*v\/7 + 16. Factor j(h).\nAnswer: (h - 1)*(h + 1)**3*(7*h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.9 + 2.21. Which is the biggest value? (a) -2\/13 (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 231908*a**2*x**2 - 585*a*x - 5*x**2 + 6*x + 4 wrt a.\nAnswer: 463816*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11194 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -28.69?\nAnswer: -28.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1447 is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -41040 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-69*c - 1500*c - 1345*c)*(-3 - 3 - 3) to the form f*c + x and give f.\nAnswer: 26226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 10 = -18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-14 + -1)) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -298883*q**4*y + q**2*y - 3*q*y + 1101*y + 27 wrt q?\nAnswer: -3586596*q**2*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = -5*u + 2*c, u - c + 4*c = 72. Let d(h) = h**2 - 10*h + 4. Let f be d(10). Let o be 30\/f*432\/u. What is o rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ory when three letters picked without replacement from wfyfroffwrrrrrrw.\nAnswer: 1\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 3412442200?\nAnswer: -3412442200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1494780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1118)\/(-112) - ((-2035)\/1628 + (-45)\/(-4))?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/26000 and -109\/7000.\nAnswer: 182000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46 and 26?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + -3 + (1*sqrt(20))\/sqrt(10) + sqrt(2) + (2*(0 + (sqrt(200) - sqrt(200)*4)))**2.\nAnswer: 14*sqrt(2) + 7197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92659?\nAnswer: 7, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 40*u**2 - 72*u - 68. Let g be i(38). Calculate the highest common divisor of 1092 and g.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -17*h + 14*h. Let g(b) = b**2 - 6*b + 4. Calculate the smallest common multiple of g(6) and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2947651 is divided by 491271?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from eetazvevzz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 213\/10 + -9\/5. Let n = -10\/47 - 1249\/94. What is the common denominator of w and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5 - 391*h**4 - 11715*h**3 + 58165*h**2 - 86563*h + 40506 = 0. Calculate h.\nAnswer: -157, -43, 1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 504 and 5256.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 - 7*z**3 - 2*z**3 - 4*z**3.\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6837 and -0.0161?\nAnswer: 6836.9839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 595828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -25*q**2 - 2. Let a(c) = 2001*c**2 + 161. Give -2*a(b) - 161*v(b).\nAnswer: 23*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 107, 141, 189, 251, 327?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - r. Let d(g) = g**3 + g**2 - g + 5. Let t be d(r). Solve 2*z + 2*w = 10, 0 = -z - z + t*w - 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.586 - -1.85. Let q = -1.2372 - u. Round q to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26, 142, 338, 614, 970, 1406, 1922?\n\"Answer: 40*b**2 - 4*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 165.\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s - 5*s)*(-1 - 1 + 4)*(3*s**4 + 3*s**4 - 5*s**4).\nAnswer: -10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(412\/136 + -3). Suppose -3*u + 3*i - q = -2*u, 0 = 3*i - 9. Let w = u - -48. Calculate the greatest common divisor of w and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-629)\/(-119) + 78\/168?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109177021 divided by 2.\nAnswer: -109177021\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.986, 3\/2, 25\/6?\nAnswer: 0.986","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167174, 333552, 499930, 666308, 832686?\nAnswer: 999064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 8. Let k(o) = o**3 + 16*o**2 - 19*o - 28. Suppose -2*a + 3*p = 34, 5*a - 2*a + 4*p = -51. Let v be k(a). What is b(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -437*s**2 - 8*s + 18. Let n(x) = 73*x**2 - 2. Let u(h) = 6*n(h) + o(h). Let q(y) = -2*y + 2. Let d be q(-2). Give u(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 y when four letters picked without replacement from {y: 2, a: 5, l: 3, j: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -807, -805, -803, -801, -799?\nAnswer: -797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 448 - 781. Let k = f + 332.9999783. What is k rounded to 6 decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3126 = -8*w + 1106. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*d**2 + 3*d - 4*d - 46*d**2 as z + y*d + l*d**2 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9942 is divided by 117.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*y + 41, -5*y + 75 = -3*n - 16. Suppose -5*j = -3*l - 30, -2*j - 2*j = -l - y. Suppose -2*w + 10 = -4. Solve -j*g = -w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 45\/4 (b) 0.5 (c) 125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/75 of a century?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 2, -12, 5, 3 in decreasing order.\nAnswer: 5, 3, 2, -12, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:47 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -26724.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4 + 144030*g**3 + 1675201359*g**2 - 1284716777580*g + 238687746857388 = 0 for g.\nAnswer: -24371, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14796)\/135 - -110 - 52\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 17. Let s = 895 - 628. Suppose 3*u - s = 3*l, 3*u - l + 81 = 4*u. What is the highest common factor of f and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*m**2 + 177*m\/2 + 15 = 0. Calculate m.\nAnswer: -1\/6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60916 (base 10) to base 9.\nAnswer: -102504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1640*p**4 + 4345 - 8688 + 4343 - 2299*p**2 wrt p?\nAnswer: 39360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + -35 + 2 + 7 + 2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aasaazaznssnnsaaasaa. Give prob of picking 1 a and 1 z.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1216620, -2433241, -3649862?\nAnswer: -4866483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*g + i + 23, 5*i = -2*g - 30. Let q = 7 - -10. Let u = q + g. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 138170531?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3289 + 3294. Solve 0 = -4*c - 5*b - 4 + 19, u*b - 15 = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*7650066\nAnswer: -153001.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 461 = 482 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 84 = 4*c + 7*z, 0 = -3*z. Let h be 202 - (c\/3 - 3). Calculate the highest common factor of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f. Calculate the smallest common multiple of 12 and g(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65633?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 422.35673 - -621.09834. Let c = v - 1043.4. Let b = c - 0.0522. What is b rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + s**2 - 3*s - s + 3*s)*(-s**2 - 3 + 3) to m*s**2 + u*s**3 + n + o*s + j*s**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r**3 + r**2 - r. Suppose -4*n = -3*h - 2 + 1, 2 = 2*n. Let i be g(h). Solve 0 = -i*k + 3*k + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, n: 5, m: 1, w: 1}. What is prob of picking 1 d and 1 w?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33\/22 + 3\/(-2). Let j be 4 + -4 + (2 - n). Solve 2\/7*v**4 + 0 + 4\/7*v**3 + 0*v + 2\/7*v**j = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11876.\nAnswer: 2, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*h + 4*g + 5, -10*g + 3248 = 14*h + 3270 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 918*r*x + 6207*r - 4005*x - 87 wrt r?\nAnswer: 918*x + 6207","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 2282 - 2270. Let a(h) = 13*h + 9. Let m(y) = -32*y - 22. Suppose -8 = -v + 3*u, 0*u = -5*v + 5*u + 30. Determine b*a(x) + v*m(x).\nAnswer: -4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105655*r**2 + 35222*r**2 + 35235*r**2 + 35233*r**2.\nAnswer: 35*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3350*x + 54 = -389*x + 29 + 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*l = -1498 - 39 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134627 (base 8) to base 5.\nAnswer: -3010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g = -27*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 6*a**2 + 2*a + 6. Let j be x(-5). Suppose 4*g = -1 + 17, -j = -3*b + 3*g. Suppose -b = -2*z + 21. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-7\/5)\/(a*a\/(a\/a**(-2\/43)))*a*a**(-3\/4)*a*a\/(a\/(a*a\/(a*a**(-17\/5)*a))) assuming a is positive.\nAnswer: a**(395\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.95426 + 0.04574. Let l = 598 - 7768\/13. Which is the third smallest value? (a) x (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((21 - 64) + 16)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 18 = 18*w - 0, -w + 23*b + 1 = 25*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370849 is divided by 2802?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -453 + 448. Which is the fourth smallest value? (a) 1 (b) j (c) 3\/8 (d) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 11 - 110. Let w(s) = 264*s - 13446. Let z be w(51). What is the highest common divisor of z and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103089495 to the nearest integer?\nAnswer: 10153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/2))**(-8\/11)\/((f*f**(-10)*f)\/(f**(-1)\/f)) assuming f is positive.\nAnswer: f**(54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32310\/29, -8\/7, -3, -1\/4?\nAnswer: -32310\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 1186, 4, 3\/5, 0.1, 57?\nAnswer: 1186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 - 108 = -6*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 j when three letters picked without replacement from {r: 4, j: 15}.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q**(-2\/7)*q*q)*q)\/q*q*q*q*q)\/(q**(-2\/11)\/q)*(q*q**(-2)*q)\/q*q*(q\/(q*q**1\/q)*q)\/q)**(-2\/75) assuming q is positive.\nAnswer: q**(-178\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 801500 and 9625?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16506753 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**2)\/g*g\/((g**1\/g)\/g*g)*g*g*(g**(-2\/3)\/g)\/(g\/g**(-7)*g)*(g**(-1)*g*g*g**(-8))\/(g\/(g\/(g\/g**(-9)))*g\/g**(-3)) assuming g is positive.\nAnswer: g**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -50514490 rounded to the nearest ten thousand?\nAnswer: -50510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3770626 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(125)*-1 + sqrt(125))*-5)**2 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -26*q + 21. Let l be d(4). Let c = -66 - l. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -3 + sqrt(931))**2 + (sqrt(931) + 0 + (sqrt(931) - sqrt(931)*4))**2)*-6.\nAnswer: -27954 + 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 20\/3 (b) 4\/7 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/2*(2 - 4). Suppose -2*v + w = -11. Let d = -35 + 39. Calculate the greatest common divisor of v and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 4:03 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -253*b + 8. Let z = -224 - -217. Is h(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*y**4 + 5*y**4 + 7*y**4 - 16*y wrt y?\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 6*k - 2. Let c be u(5). Suppose -4*l - 4*b + 36 = 4, -30 = -5*b. Calculate the highest common factor of l and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 25*w + 102. Let u(f) = -8*f - 32. Let n(o) = -2*m(o) - 7*u(o). Let l(g) = -2*g - 7. Suppose -6*t - 98 = t. Determine t*l(c) - 5*n(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3349\/11 - -305. Let v = -1.1 - -0.7. Let z = -2.8 + 3. Which is the biggest value? (a) z (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2)**(-5\/9)\/(h**(-1\/6)*h\/h**(1\/7)) assuming h is positive.\nAnswer: h**(-227\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-44 - -24) - -22\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 24068*u + 72408578.\nAnswer: 2*(u + 6017)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000472815786 to 7 dps.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12615\/8 - 1584. Find the common denominator of ((350\/(-231))\/5)\/((-2)\/21) and j.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47695771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-3 - (-10 + 5)) - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252 by 36.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s. Let c(k) = -9*k**2 + 3. Calculate c(h(f)).\nAnswer: -324*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 792, 822, 720, 420, -144, -1038, -2328?\n\"Answer: -11*a**3 + 107*a + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -154 + -2441?\nAnswer: -3035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 6 - 4*c + 0*c + (-2*c + 2 - 2)*(5 - 5 + 5).\nAnswer: -14*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -223*g**2 + 4*g - 3. Let s be l(1). Is 21 a factor of -5*(-2 - s\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 2:32 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 134 and -25827.\nAnswer: -3460818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0182640218 to 3 dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*((((b**(3\/7)\/b)\/b)\/b)\/b)\/b)\/b)\/(b**(-4\/9)\/b*b))\/(b**(2\/17)\/(b**4*b))*(b*b*b\/(b\/(b*b**4)*b)*b*b*b**6)**(1\/16) assuming b is positive.\nAnswer: b**(22537\/8568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16639)\/(-2))\/((-38)\/(-228)). Calculate the greatest common factor of 21 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 13 + (-3 - 35).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.446? (a) -7 (b) 2383 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7 = 5*c, 2*o - o = -4*c + 5. Let r be ((-2)\/((-6)\/3))\/o. Let p be ((6 - 0) + -1)\/1. What is the nearest to 1\/3 in -3\/2, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4142578*x**3 + 88*x + 567 wrt x?\nAnswer: 24855468*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -914 + 908. What is the tens digit of ((-4410)\/25)\/(r\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222329012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t + 63. Let b be p(6). Calculate the highest common factor of b and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/(w*w**(-1)*w))**11*(w**(2\/13)*w\/w**(-1\/9))\/(w*w**(-1\/2)*w*w*w\/(w*w**(-2\/15))) assuming w is positive.\nAnswer: w**(-14471\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 11. Let p be z(-7). Solve 0 = 2*k - 3*l - 3, k - p = 2*l - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357275 is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1711.3797 and -0.5.\nAnswer: -855.68985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 2459 + 2458 + 3863 - 8782.\nAnswer: 4*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3427230?\nAnswer: 2, 3, 5, 23, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 2:23 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Suppose 0*j - 6 = -l*d + j, 2*d = 5*j + 14. Let r(q) = 40*q**2 - 4*q + 2. Let a be r(d). What is the highest common divisor of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 0 + -1 + 0. Let k be -2*(-9)\/(-78) - 142200\/(-2054). Sort t, -3, 4, k in descending order.\nAnswer: k, 4, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/6 - 2444801*l**2\/6 + 249049738564*l - 7222099742814 = 0. Calculate l.\nAnswer: 29, 1222386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 808424580 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 47080000 to the nearest 1000000.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28230343 to the nearest integer?\nAnswer: 5313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 12*j + 41. What is v(13)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-9)*((-8)\/68 - (-23)\/(-238)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474103 is divided by 59.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 1 - (-46 - -53).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 830*w**2 + 2467*w - 57. Determine a(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24818 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 + 37 = -10*h. Suppose -4*r + h = 12. Solve -1 = -3*q + r*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4055374.4 rounded to the nearest 1000?\nAnswer: -4055000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18211565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 230.8345mm?\nAnswer: 23.08345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35285187\/6*(0 - 40\/(-140)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -22*a + 25*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1781\/4 - 14179\/32. What is the common denominator of u and -77\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*3*25\/75?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(32)\/sqrt(4)*1) - (sqrt(1300)*-3)**2*-5.\nAnswer: sqrt(13) + 58500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*h + 5. Suppose -2*j + 0 = -4*z - 6, -2 = 3*z + j. Put z, h, 4 in decreasing order.\nAnswer: 4, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**2 - 6245*q - 158990 = 0.\nAnswer: -1223, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -5*t + 73, 5732*t = 18*g + 5734*t - 382 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3424 and 4066.\nAnswer: 65056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 19)*(31 - 11 + 108 - y).\nAnswer: -19*y + 2432","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5431166.357 to the nearest 1000.\nAnswer: 5431000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2))**39*k*k\/(k*k*k**(-7)\/k)*k\/(k**(-2\/23)\/k))\/((k**(-8)\/k)\/(k*k**(1\/2)))**(10\/17) assuming k is positive.\nAnswer: k**(-24139\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 9 = 0, 5*h - 20 = o + 3. Suppose 2*f + 6 = -2*r, 5*f - 3 = -h*r - 10. Let i = r + 13. Solve -6 = -i*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 9 + 6 + 2*m + 7*m**2. Let i(x) = 7*x**2 + 2*x - 2. Let h(g) = 4*i(g) - 3*v(g). Let d be 3\/(-5) - 4\/10. Calculate h(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 5, -3, 1 in decreasing order.\nAnswer: 5, 1, -0.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 5*o**2 + 2*o + 7. Determine v(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, h: 2, a: 2, c: 3, x: 9}. Give prob of picking 2 x, 1 a, and 1 c.\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/(x*x**(3\/8)))\/(x*x**(4\/5)*x*x**4\/x*x*x) assuming x is positive.\nAnswer: x**(-327\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8*p**2 - 12*p - 7. Let x(k) = k**2 + k - 1. Let v(u) = -o(u) + 2*x(u). Let m(t) = 2*t**2 - 5*t - 2. Calculate -8*m(n) - 3*v(n).\nAnswer: 2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96 + (1\/(-6) - 529\/138)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = w + 6, -4*w + 0*d = -2*d - 16. Suppose -w*f + 297 = f. What is the highest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/13)*d)**44 assuming d is positive.\nAnswer: d**(440\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 12*n + 20. Let x be o(10). Let f be -4*((-3 - 2) + 2). Suppose -y - y + f = x. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 4*x**2 - 27*x + 90. Calculate j(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.61424992 rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*s + 14 = 0, 5*n + 33*s - 29*s = 28. Solve n = -3*m + 19*a - 14*a - 39, -2*m - 18 = -2*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1413015*y**2 + 46632*y + 20 wrt y.\nAnswer: 2826030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 39 + (-2 - 2). What is the third derivative of v*i**2 + i**4 - 43*i**2 + 3*i**4 wrt i?\nAnswer: 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**3\/9 + 89295916*g**2\/9 - 55373342560044*g + 55373332638276 = 0 for g.\nAnswer: 1, 11161989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 5*k**2 + 2. Let o(n) = 2*n**2. Let u be o(1). Let z(y) = -4*y**u - y**3 - 3*y - 2 + y**2 - 2. Let v be z(-3). What is m(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276755267?\nAnswer: 43, 1361, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1518 and 486.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 - 2. Let f be a(-3). Let d = f - 33. Calculate the remainder when 47 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1.44, -2, -11, 22 in descending order.\nAnswer: 22, 2\/5, -1.44, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1613 times 0.3397?\nAnswer: -547.9361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 6:37 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 65 - 1. Let p(o) = -o - 11. What is the units digit of p(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/3 - (2 + -7). Suppose 2*x - 18 = f*d, -d = -4*x + 2*x + 27. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/49 in -0.5, 2.24, 3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, 3\/5, 3604\/113 in descending order.\nAnswer: 3604\/113, 3\/5, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - -2 - 2)*-1. Let z be 3228\/(-9) - k\/6. Let t be z\/(-6) - 5\/(-15). Calculate the highest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12558179 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 290 by 1.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 839513411, 839513409, 839513407?\n\"Answer: -2*g + 839513413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388484*g - 1337045*g - 2150455*g.\nAnswer: -3875984*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.230751 take away -184.3?\nAnswer: 184.530751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*p + 182*p + 168*p.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 2748896 and 49480117\/18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1047 - 631. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -4*u + 2*d - 20, -4*u = 4*d - 8. Solve -3*b = -u*b - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/14? (a) -3 (b) -22 (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**3 - 10*m**2 - 4*m - 47. Let v be x(4). Which is the second smallest value? (a) v (b) -0.6 (c) -4 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (6 + -9 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 24. Let b be m(26). Sort -13, 3, b.\nAnswer: -13, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + 57 + -34 + (31 - -2)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, l: 4, x: 2, o: 2}. Give prob of picking 2 n.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -228 + 371. Let s = l + -571\/4. Factor 1\/4*p + 1\/2 - s*p**2.\nAnswer: -(p - 2)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -734030, -1468140, -2202212, -2936228, -3670170, -4404020, -5137760?\nAnswer: -5871372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-2)*132\/231.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 - -0.2. What is the third biggest value in 2, x, 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92 - (27 + -123)) + 65.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r - 4*g - 5253, 0 = -5*r - 2*g + 26309. Suppose -5*v + 981 - r = 5*k, 2*k - 2*v + 1704 = 0. Let h = k - -1707. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-2)*-1*4. Let v(m) = -m**2 - 4*m**2 + 7*m - m**3 - 2*m**2 - 7. Let r be v(w). What is the greatest common divisor of r and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148437615?\nAnswer: 3, 5, 83, 119227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74914, -149831, -224780, -299773, -374822?\nAnswer: -449939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-34\/3))**(3\/5) assuming n is positive.\nAnswer: n**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 16 - (-124 + 137)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 1973885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2.14, -5\/7413?\nAnswer: -2.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s. Let w be a(5). Let p = -496 - -501. Solve -z + r - 2*r - p = 0, -4*z - w*r - 23 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, w: 6}. Give prob of picking 1 r and 2 w.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.069, -1\/5, -1, -4, -306?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 20, 25, 5, 29, -5 in decreasing order.\nAnswer: 29, 25, 20, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5150 by -2575.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.7 + 1.73. Let c(b) = b**2 - 22*b + 82. Let a be c(5). What is the second biggest value in 0, a, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at least as big as -2068941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 21*i**2 + 4*i - 3. Give b(-5).\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yymiq. What is prob of sequence yq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 55*f. Let g be j(1). Suppose 64*b = 59*b + g. What is the first derivative of b - 34*x - 7 + 22 wrt x?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 3*n**2 - 9*n + 5.\nAnswer: (n - 1)**2*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v - 10*v - 8*v.\nAnswer: -33*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**5 + 48968*a**4 - 300417702*a**3 + 8378185536*a**2 - 29609270496*a + 21531453696 = 0.\nAnswer: 1, 3, 24, 12228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 537*j*z**3 - 461*z**3 wrt j?\nAnswer: 537*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, 49, 13\/4 in ascending order.\nAnswer: -3, -0.4, 13\/4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 4186045*v**2 + 876138171895*v - 4380795511225.\nAnswer: 5*(v - 5)*(v + 418607)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 2, 335*p - 5*k = 330*p + 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28774.8 (b) 17\/6 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-22)\/(-3))\/(4\/6). Suppose -2*z + s = 5. Let m(q) = 2*q**3 - 2*q**2 - 9*q + 6. What is the lowest common multiple of m(3) and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - y - 8 = -0*s, 4*s - 8 = 4*y. Let a be ((-1)\/s)\/(5\/40). Factor -3*d**3 + 0*d**3 - 7*d**3 - 5*d - d**5 + 5*d**4 + 1 + 0*d**a + 10*d**2.\nAnswer: -(d - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1378596 is divided by 333.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l**4 + 0*l)*(15*l - 6*l - 12 + 11).\nAnswer: 18*l**5 - 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49300549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -6136?\nAnswer: 6146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 - 447*j**2 + 2829*j - 1731. Calculate p(217).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/756144 and 19\/126024.\nAnswer: 756144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101101110101111001011 (base 2) to base 9.\nAnswer: 11642058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 225685545.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**4\/12 + u**3\/2 - 6*u**2 - u + 73. Determine s(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 10*d**2 + 11*d - 4. Let j(n) = -n**3 - 6*n**2 - 2*n. Let i(o) = 2*j(o) + l(o). Suppose i(k) = 0. What is k?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - y**2 - 3*y + 3. Let k be s(0). Suppose 3*v + 14*z - 13*z - 788 = 0, k*z = -3*v + 792. Does 41 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -20 - 2. Let a = 53 + v. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 18*s + 64. Is 41 a factor of w(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3 + 14*f**2 + f - 15*f**2 - 1 - 3*f. Let l be h(-5). Round l to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11130 and 12561.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 34. Let r = 19809 - 19537. Calculate the greatest common divisor of j and r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4805 or 2\/671?\nAnswer: 4805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1567508116 to the nearest one hundred thousand.\nAnswer: -1567500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from bbbff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**4\/12 + h**2\/2 - 3. Let o(w) be the second derivative of v(w). Let l(y) = -2*y**2. What is l(o(i))?\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.019 * -0.07\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/3268?\nAnswer: 1\/3268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1405209 and 54663?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 11. Suppose 4*k = -g*v - 4, 0 = -v - 0*v + 4*k + 14. Suppose -3*m = -3*z - 261, v*z + 7 - 3 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - -1120?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-1*sqrt(165) + sqrt(165) + sqrt(165))\/sqrt(5))\/((sqrt(108) + sqrt(12))\/sqrt(4) + sqrt(3)) - ((-1*sqrt(704))**2 + 3 + sqrt(22)\/sqrt(2))).\nAnswer: -2121 - 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 10:44 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -107071\nAnswer: -32121.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7569)\/(-216) - 35)\/(62\/21 + -3).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 304990 + 477*y - 304990 + y**3 to k + s*y**2 + z*y + j*y**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 - 384300*o**3 - 384304*o**2.\nAnswer: 4*o**2*(o - 96076)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n. Let a(x) = 2043*x. What is j(a(f))?\nAnswer: 14301*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*n + 78, 17 = r - 0*r - n. Let h = 23 - r. What is the first derivative of -2 - h + 15 + 6*z**4 wrt z?\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/3))**(-27)*(a\/a**1)**(-37) assuming a is positive.\nAnswer: a**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w - 3*q = -28*w - 704, -3*w = -4*q - 1090. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*b - 4. Suppose -b + 4 = j. Solve -5 - 1 = j*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**6 + 3*m**3*v**3 + 13*m**2*v + 11*v**3 wrt m?\nAnswer: 360*m**3 + 18*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48\/64)\/((-2)\/(-8)). Let x = 2 - 0. Solve -5*u + j*o + x*o = 15, o - 7 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932669126.\nAnswer: 2, 466334563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(513)\/(sqrt(9)*-2))\/((sqrt(15) - -2*sqrt(15))\/sqrt(5)) + 2*(sqrt(19) + 0 + -1 - -4*(1 + sqrt(19))))**2.\nAnswer: 118*sqrt(19) + 67435\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 2. What is the remainder when f(6) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/258232 and -3\/520.\nAnswer: 1291160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*x + 104 + 652 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 0*g = -2*g + 4, -4505*w - 4487*w + 34*g + 132 = -8989*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 266879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgmmjwvi. Give prob of sequence wj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**9*f*f)\/f**11)\/(f**(-7))**(-1\/49) assuming f is positive.\nAnswer: f**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26.7 - -35. Let g = a - 8. What is the second smallest value in -0.5, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (10 + 0 + -19)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5+-5854\nAnswer: -5859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 m, and 1 n when four letters picked without replacement from {n: 6, m: 2, s: 5}?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = l - 19*l. Let s be (6 - 2)\/(0 - -1). Suppose 5*p - s = -5*w + 16, 2*w - 11 = p. Is l != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(16\/12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*u = 33, -8*n + 4*n + 49 = -5*u. Suppose 3*i = i + n. Let a = i + 11. What is the remainder when a is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4. Suppose y = -h - h + 578. Let k = 483 - h. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-28)\/6*34. Let q = 1159 - 1163. Is (12\/q - i)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2 - 7*x + 3. Let b be v(2). Let l be (-12)\/(5 + -2) + b. Is 5 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -49, -94, -163, -262, -397, -574?\n\"Answer: -t**3 - 3*t**2 - 11*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904 != -239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(2\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41.5 - 87.1. Let l = -39 - z. Let f = 7 - l. Which is the nearest to 1\/4? (a) -0.2 (b) -6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -42.44. Let i = w - 0.56. Let v be (-1 - -2)*(-2)\/4. What is the biggest value in i, v, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -9*y - 25. Let t be q(-3). Solve -4 = -6*k + t*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073124133 rounded to 4 dps?\nAnswer: -0.0731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2069906249.\nAnswer: 2069906249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28034.592 months to decades.\nAnswer: 233.6216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47774722 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1997 - 1549 - 1666 + 4670 - 2*t**3.\nAnswer: -2*t**3 - 542","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316657320.\nAnswer: 2, 3, 5, 7, 479, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z**2 - 82*z + 38. Let w be g(-14). What is the greatest common divisor of 26 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4*g - 46, g = 4*v - 0*g - 259. Suppose -40 = -q + 5*f, -3*q + 2*f + 57 = 2. What is the remainder when (-16)\/(-6)*v\/4 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tlllflltttlltlltl. Give prob of picking 2 l and 2 t.\nAnswer: 135\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2966158 is divided by 2905?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8464, 8424, 8356, 8260?\nAnswer: 8136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 82 + 260 = 0. Let t = 166 + g. Calculate the highest common divisor of t and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.29 - -2.2. Let n = v + 0.19. Let d = 38 + -32. Which is smaller: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.5 + -16.49588. Round u to 4 dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z = -3*b - 150, 4*z - 3*b = 198. What is the highest common factor of z and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*a + 116. Let u(y) = 5*y**2 - 18*y + 43. Let s be u(6). Suppose -s = -29*t + 28*t. Calculate the remainder when t is divided by a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 17 = o, -3*o = -l + o - 8. Let p be (-276)\/(-8)*l\/6. Let a = -12 + p. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5*b + 50 = 20, -5*a - 2*b - 509 = -590 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.88068 + -0.11932. Sort l, 4, -0.56, 4\/7 in decreasing order.\nAnswer: 4, 4\/7, -0.56, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.94551 tonnes to grams.\nAnswer: 64945510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 2\/17, 437, -1.\nAnswer: -2, -1, 2\/17, 5, 437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 41, 74, 105, 134, 161, 186?\n\"Answer: -n**2 + 36*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10876721 a multiple of 878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -691*g**3 - 694*g**3 + 12*g**3 - 691*g**3 + 2756*g**3 - 691*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2 - 15*w - 16 = 0. Calculate w.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 261557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - h**2)*(1 - 4 + 1 + (0 + 1 + 1)*(4 - 2 - 1) + 2 + 2 - 2 - 1 + 3 - 3 - 55 + 40 - 59).\nAnswer: 73*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 3*r - 3*r + (2 + 3 - 2)*(-1 + 2*r + 1) + 12*r - 9*r + 9*r + (1 + 4 - 3)*(-4*r + 0*r + 2*r) + 32*r + 49*r + 6*r as y + s*r and give s.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 34 - 15 + 14 = -17*r, 5*b + 34*r = 16*r + 15*r + 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7039448l?\nAnswer: 703.9448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -10*f**3 + 2*f**2 + f - 10. Let x(t) = -3*t**3 + t + 1. Determine -o(y) + 2*x(y).\nAnswer: 4*y**3 - 2*y**2 + y + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.407 - 3.407. Which is smaller: l or -372\/7?\nAnswer: -372\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**5 + 9536*t**4 - 19069*t**3 + 9534*t**2 = 0.\nAnswer: 0, 1, 9534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/2568228 and -17\/25428?\nAnswer: 2568228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + u = 60, -4*m + u = -3*m - 20. Let n be (0 - 0)\/((-4)\/m*4). Suppose n*t = -3*t + 6. Solve 0 = 5*g - t*h - 12, -5 = g + 5*h - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 32179 + 119007 + 42524 = 0. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 878\/(-439))\/(15\/(-17) - -1).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 4 (c) 28 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*n - 2*n + 6*n - 31*n - 20*n)*(-3 + 24 - 3).\nAnswer: -1638*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/37714881?\nAnswer: 4\/37714881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. What is the derivative of 1 - 2*r**q - 6 + 3 + 3 wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + (127 - 126)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 13*i**2 + 5*i - 3. List the prime factors of k(-6).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**4 + 4*p**4 - 3*p**4)*(-2 - 5 + 3)*(1 - 1 - 2*p).\nAnswer: -16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 206746097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 18 = 7*m. Suppose 3*z - z - 647 = -3*q, -665 = -2*z + m*q. Let h = z + -69. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 10\/11*q**3 + 26\/11*q**2 - 8\/11*q**4 - 18\/11 - 10\/11*q = 0.\nAnswer: -1, 1, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {v: 6, m: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2074, 2077, 2094, 2131, 2194?\n\"Answer: o**3 + o**2 - 7*o + 2079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.36448m to kilometers.\nAnswer: 0.04336448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - 4) + 1 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*r + 28*r + 1 + 2 with respect to r.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - w + 1. Let l be s(1). What is the closest to l in -5, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 12. Suppose -3*b + 3 = -3*o, b - l = 4*o - 14. What is the smallest common multiple of o and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, d: 2, l: 2, r: 1, w: 5}. What is prob of picking 2 l, 1 r, and 1 w?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/3240 and 161\/360.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34\/13, 8, 2, -476.\nAnswer: -476, 2, 34\/13, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**7\/56 + t**6\/60 - t**3 + 3. Let i(z) be the third derivative of x(z). Factor i(o).\nAnswer: -3*o**2*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1575, -3109, -4643?\nAnswer: -6177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -30. Let x(r) = 2 + 3 - 5 + 2 + 9*r. What is the remainder when x(3) is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -1, 4 in descending order.\nAnswer: 4, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*x + 57*x + 167*x = -352*x + 58428 for x.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 at most 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/33 and 4\/274167.\nAnswer: 3015837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -501 - -1504\/3. What is w in 0*w**2 + 0 - 1\/3*w + x*w**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - y = 10, 56*o = 51*o + 2*y - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*h = -78*h - 4*x + 8*x - 34, -5 = h - 2*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/70365 or -2\/5?\nAnswer: 2\/70365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 6. Suppose -9*s + 17 = -10. Does 3 divide y(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16018 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2. Let h(w) = 5*w + w - 4*w. Give h(t(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1787568554?\nAnswer: 2, 893784277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 624 and 11232.\nAnswer: 11232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35151352 to the nearest integer?\nAnswer: 5929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16471*5\nAnswer: 82355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 2343?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - d**2 + d - 2. Let h(f) = 55*f**3 + 33*f**2 - 44*f + 66. What is 33*b(w) + h(w)?\nAnswer: -11*w**3 - 11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3156269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**5\/2 + 375*f**4\/2 + 177*f**3 - 1122*f**2 - 732*f + 1488 = 0.\nAnswer: -124, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/(-14))\/(2\/356). Suppose -4*s + 5*y = -2*s - g, 3*s = -4*y + 76. What is the lowest common multiple of s and (24 - -1)*(2688\/(-240))\/(-14)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-5) + (-33)\/(-15). Suppose d = 2*m + 2577, d + 0*m - 2581 = -w*m. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**6\/72 - m**3 - m**2\/2 - 4*m. Let g(d) be the second derivative of p(d). Let i(x) = 3*x**2. Give g(i(s)).\nAnswer: -45*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 c, and 2 o when four letters picked without replacement from {u: 3, c: 2, o: 2, w: 2, q: 1, a: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - -110. Let x = v + -98. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27, -30, -95, -174, -273, -398, -555?\n\"Answer: -x**3 + 2*x**2 - 56*x + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 1 + 6)*(1 - 6 + 3) + (8 + 6 - 5)*(7 - 2 - 1))*(7*o - 5*o + 3*o) as l*o + q and give l.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1716)\/264 - (2 - 7\/2). Sort 13, m, -80.\nAnswer: -80, m, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 747 - 754. Put 0, 3, -1, p in decreasing order.\nAnswer: 3, 0, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*y + 105*y = 5*k - 10, 2*y + 2 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*j**3 + 81*c**2*j + 309*c*j**3 - 6*j + 1 wrt j.\nAnswer: -6*c**2*j + 1854*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-12))\/(10\/(-1594571)). Let u = t + 26577. Let c = 3\/20 - u. What is the third smallest value in -2\/7, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**8\/1848 + 2*k**7\/385 + k**6\/44 + 4*k**5\/165 + 7*k**2 - 23*k. Factor j(f).\nAnswer: -2*f**2*(f - 8)*(f + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/8965 and 32\/489?\nAnswer: 26895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-215)\/(-5) + 1 - -1. Suppose 2*p - 1 = n. Suppose 0 = -18*a + 17*a - p. Are -23 and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = -4*c, 0 = -2*w - 2*c + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/36 + 5*y**3\/2 + 22*y**2\/3 + 492*y. Let s(m) = 0. What is m?\nAnswer: -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, 2, 5 in ascending order.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -126, -64, 3 in ascending order.\nAnswer: -126, -64, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, y: 2, z: 3, m: 5}. Give prob of sequence ll.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.1 + 17.9. Which is the closest to -0.06? (a) l (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 4*v - 28, 341*c = 346*c + 3*v - 25 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54300 by -4.\nAnswer: 13575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*d - 76*d + 390447 = -19*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -78*t**2 - 140*t + 8. Give y(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 + 33424*b - 233836. Calculate c(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31526 + 31526 = -130*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 68*j - 3453. Determine q(62).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 3*r**2 + 4*r - 2. What is s(-4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -21 + 8 - -47) + -1 + 0?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 5 - 25 - -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/6 and -61\/110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208.5578 months in millennia?\nAnswer: 0.10071315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -162, -214, -290, -390, -514?\n\"Answer: -12*i**2 - 16*i - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.01 and 98286515416.\nAnswer: 98286515416.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7452889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13263399 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4\/11 - 90*f**3\/11 + 24*f**2\/11 + 4640*f\/11 - 1152 = 0.\nAnswer: -44, -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44425516 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 670 - 78 = 0. Let c = 152 - a. Suppose -c*u - 4*t + 8 = 0, -u - 2*t + 17 = -6*t. Solve -1 = u*j - 2*i + 34, i = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*u = 306 + 654. Let m = -16 + 26. Let d = m + u. Put 0, d, -5 in decreasing order.\nAnswer: 0, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -250, -526, -710, -754, -610, -230, 434?\n\"Answer: 8*l**3 - 2*l**2 - 326*l + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 725.83 rounded to the nearest 10?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/((-14)\/(-15)*12\/(-14))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5.0995 - -0.04\nAnswer: 5.1395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 1, r: 1, l: 2, c: 2, i: 1}. Give prob of picking 1 r, 1 g, and 1 p.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 - 5*d + 7. Let a be f(-5). Let q = a + 21. Solve -5*b + 9 = -2*y, 3*b + q*y - 6*y = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76810 is divided by 2842?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/5 + (-4 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15225 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*w**2 - 9 + 2*w**3 - w**3 + 7 - 1 - 2*w**3 + 6*w in the form b*w + u + x*w**3 + t*w**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 13*l + 2*x - 4, 16 = -5*l + 2*x. Which is the closest to 1\/3? (a) -4\/3 (b) 1\/11 (c) 0.5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643 (base 8) to base 11.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*u - 32*u - 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2 - 3*b - 15. Let s(m) = -4 - m**2 + 6*m + 0*m**2 - 7*m. Let l(o) = 22*s(o) - 6*z(o). Solve l(t) = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 229 - -80. Let o = a + -310. Let c = 190 + -1332\/7. What is the nearest to o in 0.4, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen halves of a week?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*c = 66, n + 8 = -2*c - 0*c. Let f be 2\/8 - 33\/n. Solve -2*v = -i - 10, 3 = 8*v - 3*v + f*i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 628376 + -628118.153. Let u = b - 258. Let o = u - 26.247. What is o rounded to zero decimal places?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5415 divided by -5?\nAnswer: -1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1073 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 31 + ((-484)\/(-2178))\/(16\/(-1368))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6083.965 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 w, and 1 g when four letters picked without replacement from qlccwwwwyyyyycg?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1350657285?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18015 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26598, 26603, 26608, 26613, 26618, 26623?\nAnswer: 26628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1.98. Let s = u + -1.98. Which is the nearest to -2\/5? (a) -3 (b) -2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l - 4. Let y = -3071 - -3074. Let o(c) = -7*c - 3. Let k(x) = -22*x - 8. Let v(j) = -2*k(j) + 7*o(j). Determine y*v(a) - 4*r(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -13, -401, -5, -194, 2 in descending order.\nAnswer: 5, 2, -3, -5, -13, -194, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 13*g + 5. Let b be 4 + 4\/((-8)\/34). Let w be (-13)\/(-2)*26\/b. Let t be r(w). Solve -y - 20 = -t*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42, 71, 62, -3, -142, -373, -714?\n\"Answer: -3*c**3 - c**2 + 53*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171125 - 175445 = 80*z for z.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2. Let x(l) be the second derivative of -l**6\/360 + l**3\/6 - l. Let m(r) be the second derivative of x(r). Give m(b(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-23)\/30 - (-9)\/(-81)*9 and (-20)\/30 - -83*2\/(-24)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v**2 - 239*v - 598. Determine w(-31).\nAnswer: 1045","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 121484 and 0.37.\nAnswer: 44949.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 8. Let f = -46 + 56. Let c = f - a. Calculate the greatest common divisor of 44 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 + 2117*z**2\/3 - 4956*z.\nAnswer: z*(z - 7)*(z + 2124)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*d + 29, 5*d = k + 9*d + 1. Put -2\/5, k, 2, -1\/3, 3\/7 in ascending order.\nAnswer: -2\/5, -1\/3, 3\/7, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938586.\nAnswer: 2, 3, 11, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2709 and -157\/8694.\nAnswer: 373842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -t - 3*t + 279, t - 264 = -r. Solve -21 = -266*h + r*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -782 + 297281*k - 88610*k + 780.\nAnswer: 208671*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -3 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c*h - 69*c - 2*h**2 wrt h.\nAnswer: 4*c - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnnnwwnwnnn. Give prob of sequence wwwn.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 51*m + 488. What is the tens digit of q(32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18774 by -63.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**4\/4 - 7*u**3\/6 + 5*u**2\/2 + 29*u + 1. What are the prime factors of f(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*z - z + 14 = 0, b - 11 = -z. Let m(k) = 4*k - 7. Let x(h) = 7 + 4 + 5*h - 26 + 7. Calculate b*m(l) - 5*x(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1543 + -1363. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 5*i + 9. Let v be r(6). Suppose 0 = -v*l - 2*n + 416, -4*l - 4*n + 7*n + 549 = 0. List the prime factors of l.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1065716 + -106125105.\nAnswer: -105059389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-460)\/(-184))\/((-1)\/2). Sort -4, 184, b in decreasing order.\nAnswer: 184, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, -13375222.\nAnswer: -13375222, -8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16876264*t**3 + 4*t**2 + 93597*t + 4.\nAnswer: 101257584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 807547471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48792, 97566, 146326, 195066, 243780, 292462, 341106?\n\"Answer: -w**3 - w**2 + 48784*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(1\/6)))\/v**(-6)*v**(-1\/2)*v**(-2\/15)*(v**4*v**4)**(4\/3) assuming v is positive.\nAnswer: v**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 0*t**4 - 1\/3*t**3 + 0 + 0*t + 27*t**2 - 23\/60*t**6 + 0*t**5. Find the first derivative of w(s) wrt s.\nAnswer: -138*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-16 - -6) + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3574 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 387?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 10*z - 5*z. Calculate the highest common divisor of 4 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 - -2.12. Let a = 1 - -2. Let t = a - k. What is the third biggest value in t, -3, -2\/25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.306196622 + -52\nAnswer: -49.693803378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s + 9620. Let z(i) = -23*i**2. Determine g(z(x)).\nAnswer: 92*x**2 + 9620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -149*o - 14. Let w be f(-4). Suppose -w = -0*x + 3*x. Let p = 315 + x. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5565?\nAnswer: 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -775 equal to -572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + u)*(2 + 3 - 4) + 4*u + 4*u - 7*u + (u - 3*u + 0*u)*(8 - 2 - 4) + 0 - u + 0)*(15 - 4 - 1).\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) -25 (c) 3\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41754.37l?\nAnswer: 41754370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1244132 (base 5) to base 7\nAnswer: -132434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2\/11 (c) -8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s + 4 + s + 16*s**2 + 3 - 3*s**2.\nAnswer: 13*s**2 - 9*s + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 0*g**2 + 2*g**2 + 178228 + 0*g**2 + 274013.\nAnswer: g**2 + 452241","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*z - 0. Let o be 6 - z*1\/4. Suppose 2*q - 10 = 7*q, -2*m + o*q + 18 = 0. Solve 0 = -2*g - j - 0*j + 8, -2*j - m = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-470)\/(-3807)*-99.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3784*u + 1319. Is 11 a factor of j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6979553 <= 6979562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 3:54 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 285384217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sttjtjtjjtjs. What is prob of sequence js?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 + -79. Let p(k) = k**3 + 6*k**2 + 6*k + 1. Let r be p(-5). What is the second smallest value in r, s, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15866*n - 26228 + 26228 to f*n + i and give f.\nAnswer: 15866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 804*y - 944*y = -1400 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 21 = 19*k - 23*k, 2*a + 2 = k. Let 0*j + 0 - 1\/2*j**2 - j**3 - 1\/2*j**k = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in centuries?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47609?\nAnswer: 47609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 39)*(-13)\/(-13). Let f = p - -122. What is the remainder when f is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.1 + -2.8. Let v = a - 1.283. Let x = v + -0.477. Round x to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.813453788 rounded to 4 dps?\nAnswer: -22.8135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45388, 46941, 48494, 50047, 51600, 53153?\nAnswer: 54706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 29.8. Let d = -3.8066 - o. What is d rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 12) to base 9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 462377941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 56*i**2 + 11*i + 11. Let p(a) = 5*a**2 + a + 1. Let m(t) = -22*p(t) + 2*u(t). Let z(f) = 3*f + 6. Give m(z(s)).\nAnswer: 18*s**2 + 72*s + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4.4017, -4, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Let i be 0\/q - 32\/2. Let p be 1*4\/i*-8. Solve -p*g - 4*l = -2, 4 = 4*g - 2*l - 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -11*j**4\/4 + 12*j**2 - 30*j. What is the derivative of g(u) wrt u?\nAnswer: -66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 68154*z**2 - 15*z + 58. Is d(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llollmhllfmhpl. What is prob of picking 1 h and 1 m?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from yyddxgxyxo?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -685 + 740. What is the remainder when 494 is divided by u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21\/(-9))\/(114\/18). Let w = y - -39\/209. What is the closest to 1 in -0.3, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(144)*-1)\/((sqrt(132)*1 + sqrt(132))\/sqrt(11)))\/(-6*-1*sqrt(196) - sqrt(196)*-1*6))**2.\nAnswer: 1\/2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l + 22 - 11 + 10 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1926, 2, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + c = 1859. Suppose c*f + 260 = 174*f. Calculate the remainder when 172 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 291 - 7\/3*f**3 + 1\/4*f**4 + 11\/2*f**2 - 5*f. Suppose l(z) = 0. What is z?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4220 in -3, -7, -2.096?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 - 24*h - 11. Let d(b) = 2*b**2 - 23*b - 15. Let s(q) = 2*d(q) - 3*o(q). Let i be s(5). Solve 14*z - i = 10*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from {u: 1, q: 2, m: 1, l: 2, k: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 1098.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 7*r - 11. Let z = 31 + -41. Let p be j(z). Find the first derivative of -12*g**3 + p - 1 + 14 + 7 wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 724 and 722 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, h: 3}. Give prob of picking 2 h and 1 s.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 203 = -3*m + 218, 2*d = -2*m + 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1567601700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1081\/7 - -154. Let j = -2\/697 + -1368\/9061. Do p and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.99 and -2.\nAnswer: 5.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 81 = 2*l, -5*l + l = 2*f - 26. Suppose 0 = -10*o - 10*o + 1180. Calculate the remainder when o is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {i: 8, d: 1, q: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 19*x + 36. Let b be k(-5). Let j = b + 61. Calculate the least common multiple of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9922222 + -12.4077208. Let k = -14.4 - q. What is k rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 + 4*i - 22. Let u(h) = -4*h**2 - 3*h + 21. Give -4*u(y) - 3*x(y).\nAnswer: y**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -1571276?\nAnswer: 1571280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 19. Let s be t(15). Calculate the greatest common factor of s and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 93*k + 1. Let p be (2\/(-4))\/((-8)\/32). Is c(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r - 556864 = -119*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -906?\nAnswer: -902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -157*m + 2201. Let n be o(14). Let l be 2\/(-5) - (-115)\/(-25). Let g = 0 + l. Sort 4, n, g, 2 in ascending order.\nAnswer: g, 2, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7101 - 7063. Solve -94 + u = 8*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - -1) - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r - 4. Let p be l(1). Suppose -6*m + p*m + 62 = 0. What are the prime factors of m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/((-912)\/19)*0. Let s = 0.6 - 0.2. What is the second biggest value in s, w, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4238 and 18.00916.\nAnswer: 4256.00916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 66\/21) + 13\/(-7). Sort 4, k, 0, -38 in descending order.\nAnswer: 4, 0, k, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.036 - -0.035999899. What is j rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8258114\/729 + -11328. Let i = j + -164\/729. Which is the third smallest value? (a) 5 (b) -0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**4\/8 - n**3\/6 + 4*n**2. Let r be a(1). Factor -4\/5 + 14\/5*g**3 - 14\/5*g + 4\/5*g**r.\nAnswer: 2*(g - 1)*(g + 1)*(7*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine sixths of a week in hours?\nAnswer: 1372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 0. Suppose 4*r - 41 = -x*d, -4*d + 33 = 2*r + d. Solve -r*a = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 5*r**2 - 4*r - 12. What is u(5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219514 divided by -19.\nAnswer: -219514\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 574072 a multiple of 1291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 25*f + 32*f**3 + 2*f**2 - 14*f**3 - 16*f**3 in the form l*f + u*f**2 + j + b*f**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 314 and 467.1.\nAnswer: 781.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (7 + -21 + 7 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 361421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4. Let q be k\/3 - (-24)\/9. Suppose -30 = -q*t + t. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1233548*l**3 + 2610933*l**2.\nAnswer: -7401288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 12 = 0, -2*b = 7*y - 12*y + 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (16 + -14)) + 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/13*r**2 - 2\/13*r**5 + 4\/13*r**3 - 8\/13*r**4 - 8\/13 - 2\/13*r = 0. What is r?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 20*p + 3*o + 13405 = 0, 5*p + 5*o = -67075. What is p rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2) + sqrt(72))**2.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*w - 1)*(2*w - 4 + 4) + w**2 + 2*w**2 - 4*w**2 + 2 - w**2 - 2 + 0 + 0 + 2*w**2 + (w + 3*w - 2*w)*(w - 3*w - w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -2. Let p = 34810 - 34809.8. Which is the closest to u? (a) p (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 385 = 11*w. Let m = w - 38. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 268968?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12074*q + 9 + 2*q**2 - 40*q**3 - 12070*q + 24142*q in the form s + c*q + i*q**2 + t*q**3 and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 18*s = -429, -5*r = 12*s + 1187 - 1470 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4066 and 7887128?\nAnswer: 843922696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 12*g + 3. Let t be m(12). Solve -18 = -t*q - 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49535*c**2 - 2130065*c + 2580.\nAnswer: 5*(c - 43)*(9907*c - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -44078, -90272, -136466, -182660, -228854?\n\"Answer: -46194*r + 2116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n - 4 + 4)*(-3*n + 3*n - 6*n)*(9*n + 3*n + 109 - 109)*(3*n - 3*n + n) in the form b*n + k*n**3 + u*n**4 + z + i*n**2 and give u.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1236?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167662 divided by 1126?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**2 - 3*l + 7. Let c(g) = 5*g**2 - 4*g + 6. Let d(q) = 7*c(q) - 6*o(q). What is the second derivative of d(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -13*p + 8*p. Suppose 4*m = 4*q + m - 1105, 2*q - 533 = -p*m. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6*-1 - 3)*(2 + -3). Factor -7*p**2 + 5*p**4 + 2*p**4 + 2*p + c*p**5 + 0*p**4 - 11*p**3.\nAnswer: p*(p - 1)*(p + 1)**2*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92165317*y**3 - 3*y**2 + 9190726*y?\nAnswer: -552991902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 + -0.7. Do 0.2 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2802 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5111 - 3121 = -14*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 20*f**2. Let h(t) = -173*t - 2. Determine h(l(r)).\nAnswer: -3460*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/2544 and 23\/3570928.\nAnswer: 10712784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14560)\/(-624))\/(28*6\/288)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 125, -2\/13, -49714?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 10:05 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -21424\/6057?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 2 - 22 = 0. Suppose 0 = -g + 2*y + 3*y + 217, 5*g - 997 = n*y. What are the prime factors of g?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6670 = 3*i + 4*f, -4*i + 8324 = -4*f - 504. What is the highest common divisor of i and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593429 is divided by 1872?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 984 = -106*q. Let k(c) = c**3 + 13*c**2 + 2*c + 11. What is k(q)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 401*v + 356*v - 46 + 58. Is y(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**4 + 33*t**3 - 39*t**2 - 33*t + 36 = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -16*j - 4 - j**3 + 6*j - 109037*j**2 - 8*j + 109029*j**2 + 13. Determine f(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-3)\/q*q)\/q)\/((q*q*q**(-4)*q*q)\/q)*(q\/(q**(1\/5)*q))\/q**(-5))\/((q**(2\/5))**(-35))**10 assuming q is positive.\nAnswer: q**(709\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*l - 544 = -13*l - 18*l. Suppose 0 = 3*w - 8*w + 45. Suppose 3*o + w = 2*b + l*o, 3*b + o = 13. Solve 6 = -b*q - 5*i - 1, 0 = 5*i + 15 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, i: 13}. Give prob of sequence iwww.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4 - 6. Let k(l) = -l + 8. Suppose 2*w + 5 = 4*w - 5*p, -5*w + 22 = -3*p. Let a be k(w). Solve s + 19 = -a*t, t - b = 3*s + 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 1093173783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*c + 110 = -82 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1915 and -29\/45.\nAnswer: 17235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4 - 3*v - 1 - 4. Suppose 7*n + a = 2*n + 92, 0 = -2*n + 3*a + 30. Suppose -2*x - n + 6 = 0. Determine z(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*d = 5, -3*a + 0*a + 5*d + 19 = 0. Suppose -4206 = -3*v + a*l, 2*v - 4473 = 4*l - 1659. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/153241 and 45\/5823158.\nAnswer: 5823158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l. Let c = -4 - 3. Let g be h(c). Let m be ((-2880)\/g)\/(18\/367500). What is m rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24, 130, 314, 582, 940, 1394, 1950?\n\"Answer: x**3 + 33*x**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -8*b**3 - 3*b**2 - 18*b + 8. Let u be o(-6). Is 9 a factor of ((u\/(-35))\/1)\/(2\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/4)*a**7)\/(a**(-1\/7)\/(a*a\/(a*a**(-1\/4))))*(a\/a**(2\/7)*a*a*a*a)**13*a**(1\/4)*a*a**(-3\/7) assuming a is positive.\nAnswer: a**(285\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44*t**4 + 10*t - 1781?\nAnswer: -176*t**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 53*t - 9. Let i(l) = 11*l - 2. Let h(u) = 9*i(u) - 2*y(u). Let f(j) be the first derivative of -8*j**3\/3 - 31. Determine f(h(a)).\nAnswer: -392*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 1\/5 (b) -2 (c) -3 (d) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3123 - 302123?\nAnswer: -233000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67.992 - -68. Let a = w + -0.0080428. Round a to six decimal places.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46199 + 6\nAnswer: -46193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 3. Suppose 3*a + r = 5*a. Let m(d) = 18 - a - d - 2*d. Determine m(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4651 - -481124924?\nAnswer: 481129575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3089*h**2 - 11*h + 5*h**3 + 3089*h**2 as b*h**2 + a*h + j*h**3 + z and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -511 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from {j: 3, u: 3, h: 2, n: 5, l: 7}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1994*a**3*b - 2*a**3*y + a**2*b + 7*a**2*y - 14*a*y - 4*b wrt a?\nAnswer: -11964*b - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2449760 and 120?\nAnswer: 7349280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 39228 divided by -6\nAnswer: -6538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 15*k**5 + 1225*k**4 + 3175*k**3 + 1175*k**2 - 790*k = 0.\nAnswer: -79, -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/2*84\/(-147). Let q(f) = -22*f**2 - 17*f**2 + 56*f**w. Let d(i) = -i**2. What is d(q(r))?\nAnswer: -289*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r + 13. Suppose 4*i - 2*x + 7*x = 30, 11 = i + 3*x. Let j be i\/2 - 2\/(-4). Let l(q) = 0*q + 0*q + 2*q - j. Give -2*a(n) - 9*l(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 310772780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4583738 and 2747.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 73\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26*1 - (-1584329)\/(-61957).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2448)\/(-11832)*348\/2544?\nAnswer: 3\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28585 + 1155414\nAnswer: 1183999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47668\/5 + -9534. Which is the second biggest value? (a) 0.2 (b) -47 (c) -2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 3221014?\nAnswer: 3221031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9622 + 9621.7. Put -2\/9, -23, 2, c in descending order.\nAnswer: 2, -2\/9, c, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 611774, 611771, 611766, 611759?\nAnswer: 611750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 4*p + (3 + 6*p - 3)*(2 + 3 + 4).\nAnswer: 50*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 + 1034603\/(-102) + 2\/12. Round c to the nearest one hundred.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + 2*sqrt(684))**2*1 - sqrt(684)) + -5 + (sqrt(684) - (sqrt(684) - sqrt(684)*-1))**2 - (-1*sqrt(684)*1 + (1*2*sqrt(684))**2).\nAnswer: 4099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:45 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 2. Suppose 4*f - 3*q = 17, 2*f = 7*f - 5*q - 20. Let h(b) = -2*b + 5. Determine f*n(u) + 2*h(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.20301 - 0.11301. What is the biggest value in 1, -14, v, -1\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 782, 783, 784, 785, 786, 787?\n\"Answer: s + 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 311 + -154. Let s = 265 - n. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6004 and 1473508.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3606112 (base 8) in base 6?\nAnswer: -33045402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 154391.94 to the nearest 100.\nAnswer: 154400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61394 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**5 + 4*k**5 - 2*k**5)*(-4 - 1 + 12).\nAnswer: -7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 10286 = -0*z - 3*z, -5*z = -3*f - 17125. List the prime factors of z.\nAnswer: 2, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -312\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 14*a + 25. What is q(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -4, -651, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + x = -13, -14*x = -17*x + 9. Let m be ((-8)\/4)\/(-1 - -5). Let q(r) = -r + 1. Let s be q(3). Which is the nearest to s? (a) -1 (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 - -1.97. Let x = -5 + n. Let z = -3 - x. Is 0 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.89223 nanometers in kilometers?\nAnswer: 0.00000000003889223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1467822 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8268\/424)\/(3\/(-4)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17735730, 35471466, 53207202, 70942938, 88678674, 106414410?\nAnswer: 124150146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -138, -165, -214, -291, -402, -553, -750, -999?\n\"Answer: -h**3 - 5*h**2 - 5*h - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1739673, -1739671, -1739669, -1739667?\n\"Answer: 2*p - 1739675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 - 6*a**2 - 15*a - 66. List the prime factors of f(11).\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i - 12. Let x be p(2). Suppose 3*f - 391 = -4*q, -2*q = f + x*f - 389. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + (32 + -73 - -46).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.727 and -0.4?\nAnswer: 5.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(84\/24 - 3)\/(3\/(-102))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.1 - 1.1. Let z = f + -4.06. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5367, 10788, 16207, 21624, 27039, 32452?\n\"Answer: -v**2 + 5424*v - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 2*u - 1. Let p be (4 - 6)*1*-2. Let m be q(p). Let b be (4 - -1)*(-2)\/m. Is 0 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - 2*i**3 + 47596 - 47596.\nAnswer: -2*i**3 - 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14807 + -6698. Is (p\/(-6) - 0)*24\/(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 - 2*s**2 - 9*s + 15. Let x = 9501 + -9499. Determine h(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-520)\/(-195)*(-3)\/14\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 530682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 4*t - 2*t)*(5*t + 2*t - 4*t) + 0*t**2 + 0*t**2 - 3*t**2 + 2.\nAnswer: -6*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2944344 take away -68?\nAnswer: 2944412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(98) + 3 + (sqrt(98) - sqrt(98)*2) + 3 + sqrt(98) + 0 + sqrt(98))*2)**2.\nAnswer: 6048*sqrt(2) + 15408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -31283*b - 939. List the prime factors of s(-1).\nAnswer: 2, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(152)\/sqrt(72) + sqrt(228)\/(-1*sqrt(12))).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 445 - 255. Calculate the highest common factor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2669341, -2669333, -2669319, -2669299, -2669273, -2669241, -2669203?\n\"Answer: 3*i**2 - i - 2669343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*b - 72*b**2 - 2 + 5*b**3 + 63*b**2 + 15*b**2 in the form x + t*b**3 + y*b**2 + i*b and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3138*m + 345174. Give i(110).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, t: 3, v: 7}. What is prob of sequence ttvt?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90984218.29 - -98215749.29031. Let y = n + -7231565. Let d = y - -34. What is d rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g. Suppose 5*d + 3*a - 5 = 0, 2*d - 2 = 3*a + 2*a. Calculate the smallest common multiple of c(d) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4 + 2845*h**3 + 8485*h**2 - 2845*h - 8490 = 0. Calculate h.\nAnswer: -566, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g - 15. Calculate the remainder when d(8) is divided by 54.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 0*l + l)*(2*l**4 + 0*l**4 + l**4) + 9*l**5 + 9*l**2 - 9*l**2.\nAnswer: 3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**2\/3 - 2144690*p\/3 + 1149923799025\/3 = 0.\nAnswer: 1072345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**3 - 66*a**2 - 6*a - 24. Let v be b(-22). Suppose c = 3*o + 410 + v, -5*o = -5*c + 2640. What are the prime factors of c?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -123\/55 - -18\/11. Is q smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016606321 rounded to five dps?\nAnswer: 0.01661","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + (sqrt(130)\/(-3*sqrt(10)) - (sqrt(1053) + 1)))**2*-2.\nAnswer: -20384\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007125 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g\/g**3*g*(g\/(g*g*g**(2\/9)))**(-21))**42 assuming g is positive.\nAnswer: g**1246","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + 6*b - 5*b)*(388 + 488 - 224) to the form r*b + o and give r.\nAnswer: -1956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y**4 + y**3 - y**3)*(0 + 2 + 1) + 0 + 4*y**4 + 0)*(1 - 2 + 3 + 2*y).\nAnswer: 2*y**5 + 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 9*l - 8. Suppose 7*i + 953 = 85. Let h be -4 + i\/(-12) + (-4)\/(-6). What is the remainder when 35 is divided by f(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1714 + 1373. Is -4 + z + 4*(-2)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/3)*b**(-2\/13)\/b*b\/((b\/(b*b\/(b*b\/(b\/(b**(-1)\/b)))))\/b)*b*b**(-1) assuming b is positive.\nAnswer: b**(98\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 45*k + 48*k - 36 = 0, -2*x - 22*k = -4*x - 23*k - 39 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1564*i - 50926 = -2197*i + 148407 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 2:40 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -14*j**2 - 7\/24*j**4 + 0*j - 1\/60*j**5 + 2 + 0*j**3 - 8\/21*j**7 + 0*j**6. Find the third derivative of m(g) wrt g.\nAnswer: -1920*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a**2. Let w(o) = -199*o + 1. What is w(d(k))?\nAnswer: -1194*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/136 and 79\/6120?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3060515700 rounded to the nearest 1000000?\nAnswer: -3061000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32997379 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00149411856 to 7 dps.\nAnswer: -0.0014941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -109, -32, 103, 302, 571, 916?\n\"Answer: y**3 + 23*y**2 + y - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31833\/(-1134))\/(-393) + 354\/140 + -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1034?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4294 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 + (-66)\/(-4) + -3. Solve -3*m = 2*a - 6*a - b, 0 = -3*a + 3*m - 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 66, 88, 118, 150, 178, 196?\n\"Answer: -q**3 + 10*q**2 - q + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 1, a: 4, c: 3, k: 1, z: 2}. What is prob of picking 1 p and 1 a?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 969, -5, 155 in decreasing order.\nAnswer: 969, 155, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 658 (b) 0 (c) 189\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -926 - -1109. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 593.6331 grams?\nAnswer: 593633.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(15\/8)*v*v**(-5\/6))\/(v**(-29)\/((v*v\/((v**29\/v)\/v)*v*v)\/v*v*v)) assuming v is positive.\nAnswer: v**(241\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3385916201 to 3 decimal places.\nAnswer: 0.339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5889955 and 230.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**2 + 42*k - 16. Let x be h(10). Suppose -3*u = 2*a - 12, x*a - 4 = 2*u - 3*u. Solve z + 3*d = 12, -3*z = u*d - 3 - 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1924 and 2106.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4290\/156*(-1)\/11)\/((-10)\/(-148))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**2*s**2*x + p**2*s**2 + 635*p**2*x + 193*p*s**2*x - 2*p*x wrt p?\nAnswer: -2*s**2*x + 2*s**2 + 1270*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1\/5)\/r)\/r**(-1\/15))**42)**(-46) assuming r is positive.\nAnswer: r**(10948\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/4 of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*g - 52 - 167 = 0, 3*k = -2*g + 133. Let s = k - 28. Solve -4*u + s = 4*r + 3, u = -2*r + 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1035279?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {t: 1, n: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 4161*m + 16666. Give f(-4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -4212 and -3998 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46106 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n. Let u(b) = 44*b - 12. Let q(l) = 46*l - 14. Let o(g) = 5*q(g) - 6*u(g). Determine r(o(c)).\nAnswer: -170*c + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.717 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4194 + 3380 = -177*q - 7825 for q.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -167706168 to the nearest one million.\nAnswer: -168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-96)*2*3*(-414)\/9?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**5\/21 - 57944*t**4\/7 + 3776847848*t**3\/21 + 5036492480*t**2\/7 + 15110172800*t\/21 = 0.\nAnswer: -2, 0, 43460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*o - 13*o + 40*o**6 + 19*o**5 + 47*o**2 - 38*o**6 wrt o?\nAnswer: 240*o**3 + 1140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a11c3 - -75?\nAnswer: a1248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18 * -0.13\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*b - 3. Let s be -67*(-1)\/16*-4*2. Let d = -191\/6 - s. Which is bigger: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44848 (base 16) to base 4\nAnswer: 1010201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + 3*f - 2*f. Let n(l) be the third derivative of 3*l**5\/20 + 32*l**2. Calculate n(c(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 82. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 15 = 53. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 69\/6 - (-9)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*r - 2*r. Let a be (-1 - -7)*(1\/2 + r). Solve -s + 3 = -5*i, a*s - 4*i = -5*i + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, n: 17}. Give prob of picking 4 n.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40555 - -34?\nAnswer: -40521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -7, -80, 2\/15, -0.1 in descending order.\nAnswer: 2\/13, 2\/15, -0.1, -7, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36899963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5092 and 62833?\nAnswer: 16839244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 4*w - 2*w + (0 + 5 - 4)*(-w + 0*w - w) + w - 1 + 1 - 2*w + 2*w - w + 7*w + 0*w - 4*w)*(4*w - 20 + 20)*(w + 2*w + w).\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**3 + 3*u**3 + 4*u**3)*(3 - 2*u**2 - 3) + 3*u**5 - 3*u**5 + 2*u**5 + (20*u**2 + 10 - 10)*(0*u**3 + 3*u**3 + u**3).\nAnswer: 80*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 14*v - 49. Let g be l(-5). Which is greater: g or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4 + -2. Let y = l + -0.3. Let a be 2\/(-8) + (-6)\/(-88). Which is smaller: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47484 = 51*s - 43*s - 12916. Does 25 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.249? (a) -1\/3 (b) -0.3 (c) -76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -13*l - 11. Let c(y) be the first derivative of -7*y**2\/2 - 6*y + 2. Let o(s) = -s**2 - 2*s + 24. Let j be o(-7). Give j*c(m) + 6*k(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 12*s - 104. Calculate x(-12).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*b**2 - 7084*b + 2362 = 0. Calculate b.\nAnswer: -1181, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 263.7 + -264. Which is the closest to 2\/5? (a) -2 (b) -15 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g - 16 = 0. Let m = 2305 - 1640. Suppose 11*b = 919 + m. Calculate the greatest common divisor of b and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 15*j**4 - 22*j**3 - 8*j**2 + 16*j - 5. Let z(p) = p**3 - p**2 + 2*p. Let b(c) = o(c) + 2*z(c). Let b(s) = 0. What is s?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5948609.3 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001687 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2954655 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 39 = -5*g, 0 = 4*g - 5*f + 20 - 12 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 14. Suppose -4*f - 5 = -41. What is the remainder when 1\/((-3)\/p)*-7 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/(-12)*(-27)\/3. Let l = -27 - c. Is l greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, -3, 5, 0.04 in decreasing order.\nAnswer: 5, 0.04, -1\/12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78882.88 milligrams to tonnes.\nAnswer: 0.00007888288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 3 (c) -236389\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -21. Let l(h) = h**2 + 8*h. Let x be l(-6). Let p = f - x. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 2. Let y be v(-8). Let k be (-1524)\/30 + 2\/y. Let d = -33 - k. What is the greatest common factor of d and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4 - 9. Sort -8, -1, n in descending order.\nAnswer: -1, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -23.6. Sort b, 15, 0.5 in descending order.\nAnswer: 15, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 331020210?\nAnswer: 331020133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 11625*f - 1250420.\nAnswer: 5*(f - 2428)*(f + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 3\/4, 7\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 8. Calculate l(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3 + 18*k**2 - 68*k + 48 = 0. Calculate k.\nAnswer: -12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 49\nAnswer: -10\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.54 in -16323\/2, -0.1, -5\/2, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 516\/66 + 2\/11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -374, -565, -876, -1301, -1834?\n\"Answer: o**3 - 66*o**2 - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.042\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68639 is divided by 75?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 + 8 = -13*d. Let q = 19 + d. What are the prime factors of (-639)\/q - 2\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/14)\/n*(n*n*n*n*n**(1\/8))\/n)**(3\/8) assuming n is positive.\nAnswer: n**(321\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -690, -670, -644, -618, -598, -590, -600?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3130 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p + 44. Let b be k(-20). Calculate the highest common factor of 46 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16299 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 4 = 9*t. Suppose -4*a - 4*y = -12, y = -t*a + 19 - 4. Suppose a*h - 6 = h. Calculate the highest common divisor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -32. Suppose -7*q + 25 = -3*s - 2*q, 5*q - 25 = 0. Solve g*x - 2 - 14 = s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -386*c + 390*c + 6 - 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -416\/1309 - -6\/187. Sort 2\/13, b, 0 in ascending order.\nAnswer: b, 0, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bobbkkjkbjbkkkkko. What is prob of sequence jj?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnngdxxg. What is prob of picking 2 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 6*a + 4*a. Let j be 3*3 + a + -4. Suppose -n + 2 = -0*n. Sort j, n, 0 in decreasing order.\nAnswer: j, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 11:27 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 63\/(-12)) + (-5)\/(-20) - 7. Let z = 0.8 - 0.5. Which is the nearest to 4\/3? (a) z (b) r (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(66\/4)*18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*c**4 + 21*c**4 + 4 + 36*c**4 - c in the form j*c + f + i*c**3 + v*c**2 + x*c**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - 0.1. Let p = 783 + -784. What is the nearest to 0.2 in p, -5\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 21*f. Let j(h) = -13*h + 9. Let w(v) be the first derivative of -3*v**2\/2 + 2*v + 115. Let i(b) = -2*j(b) + 9*w(b). Determine n(i(x)).\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 364?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 772 - 4354. Let r = v + 190. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, -15, -1\/18, 4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 8*f + 14. Let b be l(6). Suppose 504 = b*u - 778. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3*r + 1458, -4*r = -2*j + 1256 - 282. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/14 + (-21)\/(-14). What is the second smallest value in -8, -0.3, 1\/3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(1 + (-4 - 0)). Let l be v*1\/(-2)*-2. Is 78\/9 + (-2)\/l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4730250?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 207*p*r**3 + 2*p - r + 34 wrt r?\nAnswer: 1242*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 + -43. Solve 0 = -5*b + s - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*1*6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216281751 to the power of 1\/3, to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjjjjjwjwjjjj?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-832)\/(-416))\/(52\/6))\/((-3)\/5)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 24.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-227)\/9534)\/(-2*(-1)\/8)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**6\/120 + 2*d**5\/15 - 7*d**4\/24 - d**3\/6 - 44*d**2. Determine h(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**3 + 3*q**2 + 5*q - 3. Let a(r) = r**4 + 8*r**3 + 8*r**2 + 16*r - 8. Let b(k) = -3*a(k) + 8*p(k). Find the second derivative of b(g) wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1751\/77 + -163\/7. Which is the nearest to 7? (a) 42 (b) s (c) -3\/4 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -1431150?\nAnswer: 4293450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 21*w**2 + 535*w - 35. Is 21 a factor of f(37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 10:27 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -50864, -203418, -457674, -813632, -1271292?\n\"Answer: -50851*v**2 - v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 12) to base 10.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65470776 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: Let z(q) = -3*q**2 - 13. Let j(c) be the first derivative of -3*c**2\/2 + 68. Give j(z(k)).\nAnswer: 9*k**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + t = -10 + 31, 0 = -4*m - 4*t - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((((-12)\/4)\/1)\/((-642)\/(-7597))).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**2 - 65*m - 110 = 0 for m.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*p - p. Let z = -18 - p. List the prime factors of (-57)\/(76\/z + 4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 44*c**3 + 6*c - 4. List the prime factors of q(2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 550*i**2 + 48435*i - 47880.\nAnswer: -5*(i - 57)*(i - 1)*(i + 168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 + g**2 - g**2 + (2*g**4 - 7*g**4 + 3*g**4)*(2*g + 3*g - 7*g + (-5 + 5 + 2*g)*(-1 + 0 - 1) + g + 0*g - 2*g + 0 + 0 + 4*g - 2 - 2*g + 2).\nAnswer: 9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 5:46 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, u: 1, o: 1, f: 2}. What is prob of sequence kf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -38.86. Let k = -1.14 + x. Which is the second smallest value? (a) -1\/5 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 546 + -582.9. What is l rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 37. Suppose 0 = 3*w + 4*n - 1553, 46*n = 2*w + 44*n - 1026. Let f = -515 + w. Calculate c(f).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-9)*-6)\/(-1). Let n(r) = 5*r - r**2 + 3 + 1 - 2*r. Let h be n(v). Let m(z) = z**2 + z - 2. Give m(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25800.85ml in litres?\nAnswer: 25.80085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (1 + 1)) + 1 - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -475 - 540 + 1015 + 13464*r**2 in the form d*r + f*r**2 + t and give f.\nAnswer: 13464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -2\/3 (c) 1.592 (d) -17 (e) 0.5 (f) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 1 - 4. Let y be (j - ((-812)\/(-60))\/(-7)) + -3. Which is bigger: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + 58. Suppose -w = -3*p + 11. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -23. What is the remainder when b is divided by (12\/(-20))\/((-1)\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5206460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 1939?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (-3)\/4*-4. Let k = 7 - z. Let u = -2\/49 + -72\/637. Is k at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -23. Let f = q - -58. Let h(j) = -12*j. Let k be h(-2). What is the highest common divisor of f and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**9)**(-11) assuming h is positive.\nAnswer: h**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3742638 - 6?\nAnswer: 3742632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1155 (b) 1 (c) -3962 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 - (-15 + 10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000014623 rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 5458096.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 8. Suppose 2*v + 2*s = 1 + 1, 4*v - 3 = -n*s. Let r = 3 + -1. Solve r*a + v*a = -20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*((-950)\/(-76))\/25.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + k - 3*k)*(276*k + 31*k - 144*k)*((k - 4*k + k)*(-5 + 3 + 0) + 0*k + 0*k - 2*k).\nAnswer: 326*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 1 + 52 + -3. Let r = 8 - 5. Let h be 88\/12 + (-1)\/r. What is the greatest common factor of h and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396260902 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1244*w**5 + 1246*w**4 - 1242*w**3 - 1246*w**2 - 2*w = 0. What is w?\nAnswer: -1, -1\/622, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, -3\/8, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38, 152, 340, 602, 938?\n\"Answer: 37*h**2 + 3*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*u - 32*u + 30. Suppose -k - 3 = -3*i, 5*k - 3*i - 12 = -u. Solve q + 9 = n + k, -5*q - 26 = -n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 8*c - 5000. Factor -3*j**3 - 15*j**3 - 300*j - 30*j**2 - c + 17*j**3.\nAnswer: -(j + 10)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16121?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/(-6)*(0 + 2). Suppose 3*d - u - u = x, d - 5*u - 21 = 0. Suppose 19 = 4*j + 2*i - 3, -d = -j + i. 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 w(j) be the second derivative of 113*j + 0*j**2 + 1\/6*j**3 + 0. Let g(f) = 2*f - 1. Determine g(w(y)).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/16458 and -1\/71318.\nAnswer: 213954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*t - 62 + 40 - 304 = 654 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -540, -1081, -1622?\n\"Answer: -541*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 20806173*d**2 - 20806164*d**2 + 14 + 46 in the form u*d + p + s*d**2 and give p.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/76 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5698 is divided by 297.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29446 rounded to 2 dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -6\/3056987?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5 + 1 = 2*f, f = -5*u - 8. Solve 10 = f*n - 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.43172354 to two dps.\nAnswer: -1.43","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10472)\/34*236\/(-826).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ampm when four letters picked without replacement from {n: 9, a: 1, p: 1, m: 5, v: 1, b: 1}.\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12202 (base 4) to base 8.\nAnswer: -642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwwwwywww. Give prob of sequence wy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:55 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, -270, 1 in decreasing order.\nAnswer: 9, 1, -2, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**6\/80 + 43*u**5\/120 - 5*u**4\/3 - 7*u**2 + 286. Suppose z(d) = 0. What is d?\nAnswer: -16, 0, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 v when three letters picked without replacement from beeveeveerveeeheeeh.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -138 - 22. Let w = i - -41. Let y(t) = t**2 + 4*t + 3. What is the least common multiple of w and y(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 5, 1 in increasing order.\nAnswer: -90, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12837199 and 2575.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/6)\/((15\/75)\/(18\/(-25))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 9 - 27 = 0. Let f = d + 7. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*q + 8745 = 108*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 8. Let y = s - -6. Suppose 2*o - 4*z - 70 = 0, 6*o - y*o - 3*z = 96. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from {h: 14, m: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5 - 223 = -z, -2*n = z - 116. Let m = n + -33. Let o = m - 4. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2904\/1584*24\/1232\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 2*l + 24. Put -5, l, 5, -4 in descending order.\nAnswer: 5, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngael. What is prob of sequence le?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((-18 - 4) + 22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -16 + -7 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 13, j: 2, g: 3}. What is prob of picking 1 g, 1 j, and 2 v?\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w. What is the units digit of s(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.6 - -0.4. Let a = v + -28. Let h = 16 + a. What is the biggest value in 2, h, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146062007 is divided by 3017.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4ab0004 (base 12) to base 13.\nAnswer: -3063b89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -6.7. Let g = 2.93 - -0.07. What is the nearest to 0 in -1\/3, u, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 5*l**2 + 5*l + 3. Let h = 19 + -21. Let q be a(h). Suppose -3*i - 8 = -g + q, -6 = 2*g + 2*i. Solve -19 - g = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/18 and 83\/9198.\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8 - (-7)\/252*19\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1255258638?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/520 and -21\/46280.\nAnswer: 46280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fof when three letters picked without replacement from vvfvfoovvoff.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1327 + 3177*g**3 + 2121*g**2 + 1327 + 1200*g**3 wrt g?\nAnswer: 26262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 103, 122?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 186\/11? (a) 5.8 (b) 3 (c) -431\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*i + i - 165780, 0 = -3*i - 3*p + 165768. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 10*q + 27. What is a(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6134, 13430, 20808, 28310, 35978, 43854, 51980?\n\"Answer: 7*b**3 - b**2 + 7250*b - 1122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 374 or -1.1?\nAnswer: 374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*m**2 + 39*m**2 - 69*m**2 + 32*m**3 to the form s + q*m**3 + p*m**2 + l*m and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 7*m**2 + m + 8. Let f be u(7). Suppose 0 = -5*j - 0*j + f. Find the second derivative of -q**j - 16*q + 20*q - 2*q**3 wrt q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 24 = 22 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:40 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 35. Let c(s) = o - 10 + 2*s + 4*s. What is the tens digit of c(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**2 - 534*i + 11880 = 0?\nAnswer: -198, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.1 - 9.4. Let x be (0 - (1 + 9))\/(-2). Let w = 0.9 + -0.6. What is the biggest value in b, x, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + (-25)\/(-5))*10. Let b = g - 8. Let d(x) = 30*x**b + 0 + 0 - 8*x**2. Let w(j) = j. Determine w(d(i)).\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1751778 rounded to four decimal places?\nAnswer: 0.1752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*w**3 + 48*w**2 - 6090 with respect to w.\nAnswer: 84*w**2 + 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n + 20 = -31*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*n - 5 - 19*n + 28*n)*(-6*n**2 + 4*n**2 + n**2).\nAnswer: -88*n**3 + 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + a. Let k be (-1 - 3) + 15*1. Let m = k + -9. What are the prime factors of z(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x + 2. Let a(d) = -6*d**3 - d**2 + 1. Let b be a(1). Let g = b - -8. Calculate the smallest common multiple of x and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -4*f**5\/5 - 6*f**4 + 4*f**3 + 40*f**2 + 48*f - 996. Factor r(z).\nAnswer: -4*(z - 2)*(z + 1)**2*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**2 - 62*g - 133. Let p(o) = 4*o**2 + 62*o + 132. Let z(y) = 3*p(y) + 2*w(y). Let b be z(-30). Calculate the greatest common factor of 80 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 6*v - 4. Let j be q(-5). Let n be (-20*2)\/(j + -2). Let y be (-48)\/n*5\/(-4). What is the third smallest value in y, -4, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -213*p*u**5 + 2*p*u**3 + 4*p*u**2 - 122*p*u - 16*p - 45*u**4 wrt u?\nAnswer: -12780*p*u**2 + 12*p - 1080*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22.7 - -11.3. What is the fourth biggest value in 0.2, -4, a, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 2*z**2 - 3*z + 2. Let a be w(0). Solve 0*r - 5*y = -2*r + 19, -5*r - a*y = -4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 5*f = -10, 6*j + 3*f = 2*j - 26 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007785 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i. Let p be w(1). Let b(t) = 7*t**3 + 6*t**2 - 2*t**3 - p*t**3 + 7 - 7*t. Is b(-7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcctxhllxllhhcch. What is prob of picking 1 t and 1 l?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 248, 496, 760, 1046, 1360?\n\"Answer: m**3 + 2*m**2 + 235*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29805 + 19394057.361.\nAnswer: 19423862.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7 + 0*x + 0*x + 7*x. Suppose 3*v = 3, 32 = k + v + 13. Suppose 56*z + k = 50*z. Let w(u) = 4*u - 4. Give z*g(p) + 5*w(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33404 (base 5) to base 7.\nAnswer: -6602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54349 and 2224?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*j - 7882 + 8119 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -693, -0.5, 6, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 150, 508, 1206, 2358?\n\"Answer: 19*c**3 - c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1244, 4989, 11216, 19931, 31140, 44849?\nAnswer: 61064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one thirds of a day in minutes?\nAnswer: 29280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 2*y + 2. Calculate d(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 + -130950.\nAnswer: -130949.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d + 419. Let u be z(-52). Solve -u*l + 5*l + 4 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 175568*v - 175570*v + 8 = 0, 3*w - 16 - 8 = 17*v for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + (-9 - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2597723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2473 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by -4134\nAnswer: 49\/4134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 21\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 824\/2587 + -94\/199. What is the second biggest value in -1, -14.9, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10)*9125\/50. Put -6, s, -3 in decreasing order.\nAnswer: s, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38865*o**2 - o + 32*o**4 - 38863*o**2 + 1 - 3 - o**3 + 2*o**3 in the form k*o**4 + r + c*o + u*o**3 + f*o**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(15\/4)*(-42)\/(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**5\/20 - 2*i**4\/3 + 2*i**3\/3 - 9*i**2\/2 - 7*i - 4. Let x be k(8). Solve -5 = 7*v + x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 4*r - 2*k, -4*r + 4*k = 29 - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14224 by 2.\nAnswer: 7112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) - (-46)\/10. Suppose -k*z + 4*z = -7. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -1. Solve 2*f + 6 = 2*h, f + 4*h - w = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 238284383 by 4.\nAnswer: 238284383\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 10 = 0, -4*q + 24 - 46 = 5*p. Let l(j) = -3*j**3 - 4*j**2 - 6*j - 5. Calculate l(q).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 25494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (45\/60)\/(13\/8). What is the closest to 9 in -2\/3, k, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1453 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -198 - 90. Let f = -1147\/8 + r. Find the common denominator of f and -65\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x + 13. Let z(b) be the third derivative of -b**6\/120 - 3*b**5\/20 - 13*b**4\/24 + b**3\/2 + 9*b**2. Let c be z(-7). Calculate u(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s + 10. What is r(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 8*o - 5. Let n = 3 + -14. Let y(p) = -p**2 - 9*p + 13. Let z be y(n). Let q be f(z). What is the third biggest value in 1\/5, q, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 14714364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, j: 1, n: 1, k: 1, u: 5}. Give prob of picking 1 k, 1 r, and 1 u.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1789*i**6 + 56*i**4 + 6*i**3 - 21*i**2 + 154340 wrt i?\nAnswer: -214680*i**3 + 1344*i + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/18)\/((-11675)\/14010)*6\/(-604)?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -115 + 1a?\nAnswer: -d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1310 = -8*c - 222. Let m(f) = -139*f + 276*f - c*f. Let v(u) be the first derivative of -u**2\/2 + 2. Calculate m(v(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -333*j + 2618. Calculate d(8).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/5)\/((-97924)\/(-24480) + -4) - -1.\nAnswer: 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + -59. Suppose -4*m + 20 = -s, -3*s - u*s - 5 = -m. Solve 3*f = 5*w + 3 + 6, -4*f - 4*w - 20 = s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -754763*j**4 + 180705 wrt j.\nAnswer: -3019052*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 18*a - 93. What is h(-12)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363 is divided by 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**3 - 51769080*d**2 - 155307212*d - 103538136 = 0.\nAnswer: -12942267, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1324\/123 + -4\/41. Let x be 0\/(-2)*(-12)\/24. Which is the third smallest value? (a) x (b) 1\/6 (c) 3\/4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -2*y**3\/3 - 5*y**2\/2 + 5*y - 351. What is h(4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7331, 7240, 7149, 7058, 6967?\n\"Answer: -91*m + 7422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*(u**(10\/19)*u)\/u*u**(2\/71) assuming u is positive.\nAnswer: u**(3446\/1349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 13*y - 29. Determine i(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -475 or -3322\/7?\nAnswer: -475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 5. Let v be b(-9). Suppose 80*t - 17 = 83*t - 4*j, 0 = -4*t + j - 14. Sort v, t, 1.\nAnswer: v, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 60 = 8*h, 0 = -15*q + 1209*h - 1206*h - 225 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0437137 from 0.46.\nAnswer: 0.4162863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -606.4, 1 in ascending order.\nAnswer: -606.4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4\/9 (b) -0.3 (c) 0.2 (d) -2 (e) 0.5 (f) -3 (g) -258\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 3. Let n(j) = -j. Let z(p) = -3*p + 4. Let m(h) = -4*n(h) + z(h). Let g be m(-6). Let v(d) = -d + 2. Let q(o) = g*i(o) - 3*v(o). Calculate q(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33773, 38737, 43691, 48629, 53545, 58433?\nAnswer: 63287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 448694917 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 852250004 a multiple of 1030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7663 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 + 2226818.97344?\nAnswer: 2226818.92344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 37. Solve 3*j - 1 = -i + o*i, 0 = -2*i - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*g**3 + 3\/2*g**4 - 33*g - 63\/2 + 30*g**2 = 0.\nAnswer: -21, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1*sqrt(605)*4 - (6*(sqrt(605) + 4) + 4))*-6)**2.\nAnswer: 182160*sqrt(5) + 2197044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-50))\/(2\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1529 and 2085?\nAnswer: 22935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((57\/95)\/((-18)\/20))\/((-38)\/171). Factor -3\/2*k**o - 8215\/2*k - 158*k**2 + 2809.\nAnswer: -(k + 53)**2*(3*k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1854 + 2*h + 7584 + 2344.\nAnswer: 2*h + 8074","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8451619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4)*4 - (sqrt(19) - (sqrt(19) + 0 + -5)))*3.\nAnswer: -15 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(931)*1.\nAnswer: -28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 10*o - 43. Let v = -3 + o. Solve 3*w - 2*p + 10 = -w, 0 = -3*w + v*p - 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2038 + 1135 = 79*w + 203 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2704 - 1182 = 126*t - 1376 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.028 to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (576\/27 + -10)\/((-4)\/(-6) - 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -13*x**7\/42 - x**4\/6 - 10*x. What is the third derivative of a(v) wrt v?\nAnswer: -780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 8*k**2 + 17*k + 21. Calculate v(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - q = 2*q - 21, 2*q - 2 = 0. Let i = c + 50. Is i a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113060 divided by -2489.\nAnswer: -113060\/2489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 9:00 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*a - 4*a + 2*a)*(-7 + 7 - 2*a) + (1 - 2 + 2)*(0 + 0 + a)*(-4*a - a + a))*(10*a - 10*a - 24*a**3).\nAnswer: 144*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3 - 15. Is 14 a factor of (-1 - -127)*(-1 - b - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.1, -0.05, 2\/69, 0.24, -0.3?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000003863583 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4157*d*g**2*k + 2*g**2 - 4*k + 122 wrt d.\nAnswer: 4157*g**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12178*j**2 + 8733*j wrt j.\nAnswer: -24356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/116 and 17\/1334.\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8881*j - 1176*j**3 + 17767*j - 8886*j.\nAnswer: -1176*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 236830 rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 2*o**2 + 2*o - 1. Determine s(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*(3 + 4*sqrt(833) + 5) + 4)**2.\nAnswer: 1568*sqrt(17) + 53508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - 5) + -9 + 29 + -37?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/13)*i)\/i)\/(i*i*i*i**(-3))*(i**(-1))**(-2\/23))\/((i\/i**(1\/7))\/(i*i*i**7))**(-13) assuming i is positive.\nAnswer: i**(-221055\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -0.14 (b) -4 (c) 0.5 (d) 0.183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 m when three letters picked without replacement from {c: 2, m: 4}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**3\/4 - 3*d**2\/4 - 6*d - 7 = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + p = 2*p - 3, 6*f - p = 15. Let f + 2*x**2 + 2 - 17 - 11 - 4*x - 6 = 0. What is x?\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(8\/9)))**36\/((m*m\/m**0)\/m*m*m)**(-17) assuming m is positive.\nAnswer: m**83","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 864144425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.027 and -1.109.\nAnswer: -1.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(7\/4)*x*x**(-36))\/(((x\/(x**(10\/11)\/x)*x)\/x)\/(x*x**10)) assuming x is positive.\nAnswer: x**(-1027\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -25. Let d = b - 9. What is the smallest common multiple of 2 and 2\/d - (-22 - -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6) - 1908380\/288648*-1. Let c = a + -4\/12027. Find the common denominator of c and 33\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191 divided by 556?\nAnswer: -191\/556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 2. Let o be d(-9). Suppose -n - q = -18, 3*n + 4*q + 40 = o*n. Calculate the smallest common multiple of 4 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/34 - ((-50)\/(-15) + -4 - 342\/(-108))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17414170 is divided by 92?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4488 - 3127. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36 - -108?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Suppose -2 = z*k, x + 4*k = -2*x + 2. Factor 3 + 2*s**x - s**2 - 4*s**2 + 3*s**3 - 3*s.\nAnswer: 3*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 66*g**4 + 80*g**3 - 6*g**2 - 20*g = 0. What is g?\nAnswer: -1, -2\/3, 0, 5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.2 from 0.39190762.\nAnswer: -2.80809238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 6\/1391, 0, -2, 1?\nAnswer: 6\/1391","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52332 + 52331.9975351. What is v rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 97 = 4*w - 9, -4*w - l = -105. Let j = w - 22. Let o(c) = -j*c + 10 - 10. Let m(b) = -b**2. What is o(m(k))?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a. Let t(l) = -56*l. What is m(t(d))?\nAnswer: 280*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = b. Let p be 8\/(-3)*3\/(-6). Is b smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*d**2 - 5*d**2 + 8*d**2.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2)\/(((a\/(a*(a**(-1\/3)*a)\/a))\/a)\/a*a) assuming a is positive.\nAnswer: a**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/136*(6 + (-38)\/5))\/(2\/15).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + h)*(-5*h - 2*h + 5*h) - 4*h**2 + 6*h**2 - h + 3*h.\nAnswer: 4*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1579 + 1579 - 215*k**2.\nAnswer: -215*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -34. Suppose -s + 14 = -3*a. Sort 1, -1, a in descending order.\nAnswer: a, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 24 = 8*a. Suppose -1 = -q + a*c, 2*q = 5*q + 3*c - 3. What is the tens digit of ((-16)\/(-18) - q)*-6*168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 4*h + 12, -5*w - 3*h + 13060 = 13076 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 (base 8) in base 11?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27994.\nAnswer: 2, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 6, a: 9, k: 2}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -225 + 118 + 2938*h**2 + 107 - 298*h wrt h.\nAnswer: 5876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 40. Let u be 2\/((-1)\/(-2) + 0). Is w at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 y when three letters picked without replacement from {b: 2, y: 1, s: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cxxccxxcxcxxxccxcc.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29 - -26ac8?\nAnswer: 26b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 7*d - 5, c - d = 23. Solve 2 = -q + 3*u, -4*q = -9*q + u + c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 12 = -c, 0*c + h = 2*c - 25. Let t = -11 + c. Is ((-1172)\/8)\/((-1)\/t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46 + -275?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*k - 8 = 7, -5*k = 3*t + 15. Suppose t = u - 2*u - 6. Calculate the remainder when 10 is divided by (u\/(-5))\/(24\/60).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -18. Let d(n) = 5*n**2 + 13*n + 12. Let t be d(-4). What is the highest common divisor of t and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -136*z + 12820. Determine q(105).\nAnswer: -1460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 take away 0.24?\nAnswer: -312.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 125\/10*8\/(-10). Let k(a) = -3*a - 2. Let j be k(-6). Let z be (r*j)\/(-2) - 0. What is the highest common factor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 8*x**2 + 3*x - 11. Let h(f) = f**3 - 5*f**2. Let r be h(5). Let v be -9*(3 + r + -2). List the prime factors of g(v).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - -2 - (0 - -2). Suppose -9*a + 6*a + 57 = s. Let o = -6 + a. What is the greatest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 500 + -268. What is b rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - ((-11)\/(-4) - 0\/25). What is t in 3\/2*t**2 + 2 - 3*t - r*t**3 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20*14\/105)\/((-55)\/45 - -1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-2*t - t + 2*t) + 2*t + 2*t - 5*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2753, 10927, 24469, 43313, 67393, 96643, 130997?\nAnswer: 170389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-6)*(334 + (-3 - -2))?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2769 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**2 - z + 1. Let s(l) = l - 5. Let c(u) = u**2 - 2*u + 3. Let g = -34 - -37. Let a be c(g). Let p be s(a). Give o(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4083, 4079, 4075, 4071, 4067?\n\"Answer: -4*z + 4087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 12171.\nAnswer: 73026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43198 is divided by 2273?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x**2 - 5*x + 7. Let m be j(7). Let o = m - 307. Solve -4*q = 4*n - 2*n + o, 23 = 4*n - 5*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 + -15.25.\nAnswer: 68.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*o + 4. What is the remainder when (-110)\/15*(1 - (2 - -5)) is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 2*d + 8. Let g = d - -8. Solve s = 5*s - g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**3 + z**2 + 9*z - 10. Let m be c(-6). Suppose 3*b = -2*o + m, -5*b - 3*o = -1087 + 52. Does 26 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -426636560 by 7352.\nAnswer: -58030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)\/(1*sqrt(2)*-3) - (sqrt(242) + -1 + 4*(sqrt(2) + 0)))*-4)**2.\nAnswer: -1472*sqrt(2)\/3 + 67856\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 = 5*y - 6, -y = -5*u + 30. Let v(h) = -5*h + 10. What is v(u)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11005 - -15?\nAnswer: 11024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 - 53. Suppose 3*q + 3*b + 56 = 8*q, 3*b = 2*q - c. Let j be 1\/2 - 55\/q. Is -5 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -3959?\nAnswer: -3955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*j**3*s**3 - 10*j**3*s - 101*j*s**3 - 3*j*s - 251*s**3 - 124*s - 1403 wrt s?\nAnswer: 90*j**3*s - 606*j*s - 1506*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 13*c = 24. Let v = c - -17. Solve -4*b + 3 = 2*s - 1, v*b + 4*s - 2 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-6)\/((-450)\/(-85)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5\/4 + 313*d**4\/4 - 3633*d**3\/4 + 6331*d**2\/4 - 1505*d\/2 = 0.\nAnswer: 0, 1, 10, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - 285*f + 10*f + 113 - 238*f - 18*f.\nAnswer: -531*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (111 + 83 - 56 + 113)*(j + 2*j - 5*j) + (1 + 1 + 0)*(3*j - 2*j + 0*j) as m*j + z and give m.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2554, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -56924*t + 35975958. Calculate q(632).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 142 + 58. Let w = j + 60. Suppose 0*b - w = -b. What is the smallest common multiple of 14 and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b - 1. Let u be c(1). Let v be -1 - 27\/6*(-12)\/18. Suppose v*d + r - 2*r - 12 = 0, -16 = 4*r. Solve d*t = 12, 0*q - 3*q + u*t = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -508, -789, -1264, -1939, -2820, -3913, -5224?\nAnswer: -6759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/747, -0.057, 28, 1\/2?\nAnswer: 2\/747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/23773164 and 97\/12438.\nAnswer: 71319492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by (18\/(-24)*1)\/((15\/(-260))\/3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 1. Let d be ((-18)\/s)\/(2\/(-10)). Suppose 111*j + 76 = 92*j. What is the nearest to 1 in j, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10855 - 10852. Let w = -2 - -2.06. Let d be 0\/(-1)*1 - 0. What is the second biggest value in w, m, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1862 is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.33. Let a = -0.03 + t. Let j = 1 + 2. Put a, j, -1 in ascending order.\nAnswer: -1, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-10) + (-51)\/15. What is the third smallest value in y, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9375? (a) 3\/23 (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24156 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63096*n + 31588*n - 2*n**2 - 12 + 31508*n + 2.\nAnswer: -2*n**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/(9\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -3 + 6*l - 1\/4*l**4 - 3*l**2 - 7\/3*l**3. Suppose 0 = -7*s - 34 - 8. Give z(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.7 + 3.8. Let g = -9.4 - b. Let y = g + 5.5. Which is smaller: -3.7 or y?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 1262. Let t(a) = -3*a. Determine p(t(b)).\nAnswer: 3*b - 1262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by 5371.\nAnswer: -44\/5371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 13*j**2 - 22*j + 44. Let f(y) = 11*y**2 - 26*y + 45. Let d(n) = -7*f(n) + 6*t(n). Factor d(q).\nAnswer: (q - 1)*(q + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 6. Let r(y) = -2*y - 11. Let n(g) = -4*r(g) + 7*u(g). Suppose -3*h + 2*h = -2. Let i be n(h). Solve i*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/9)*l**(-1\/2)*l**(-3\/7)*l**2 assuming l is positive.\nAnswer: l**(191\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 6*n + 1. Let z(g) = g**2 + 5*g - 1. Give -4*q(v) - 3*z(v).\nAnswer: v**2 + 9*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15 + -16 - 6\/(-2). Solve w*m - 1 = 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2051*u**3*z**4 + u**3*z**2 - u**3 + 920*u*z**2 wrt z?\nAnswer: -49224*u**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*k + 8 = 26, 0 = -5*v + 2*k + 16. Let l be (-2)\/v - 7\/(-2). Suppose l*i - 27 = 39. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 147584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -2*l + 22, 4*b + 5*l = -177 + 208 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15116081 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -335*b + 659. Calculate h(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000650108 rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44437*w**3 - 95414*w**3 + 50974*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 9*x**2 + 9*x - 5. Let l = 27 + -19. Let a be u(l). Solve 2 = -r - a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**6\/15 + 431*b**5\/10 - b**4\/12 - 85*b**2\/2 - 1770*b. Find the third derivative of g(z) wrt z.\nAnswer: 48*z + 5172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**4\/6 + 59*z**2. Suppose -2*b + 48 = 6*b. Let s(x) = 3*x. What is b*a(o) - 7*s(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 n when three letters picked without replacement from cjxjfcflccncnxljc.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -24 - (-8 - (-20 - (-4 - (16 - 4)))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7 - 27*j**2 - 7 + 323*j**3 - 74*j**2 - 367*j**3 wrt j?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 3:45 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 4484*a + 1398*a + 5460*a + 3*a**2.\nAnswer: -a**2 + 11342*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 46170000 to the nearest one million.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 1, 58, 2, 3, -167 in descending order.\nAnswer: 58, 35, 3, 2, 1, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 14, -3, 6 in ascending order.\nAnswer: -9, -3, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.376 + -1.176. Let b = 5 + -9. Let q = 0 + -0.2. Sort q, b, h in increasing order.\nAnswer: b, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Let p = -60 - -64. Solve s*o - p*o = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from {d: 4, a: 7, o: 1, u: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from {t: 2, j: 9, c: 1, o: 3, h: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -17?\nAnswer: 20\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.075 - 0.375. Let y = -0.2 - v. What is the nearest to -1\/7 in -4, -0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 6*w + 3. Let m be g(2). Let s be 5 + m + 0 + -2. Solve 133 + 8*i**s + 4*i**3 - 133 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2\/3 + 368*r\/3 + 370\/3 = 0.\nAnswer: -1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = -4. Let y = 5 - h. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -7714\nAnswer: -771.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -2190407?\nAnswer: -2190407.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 0 - 3*5. Suppose 2*q - 5*u = 26, -u + 35 = -5*q + 123. Let v = q + l. Let g(j) = j - 7. Calculate g(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12338921*h**2 + 123547290*h?\nAnswer: -24677842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i + 183. Let q be x(-27). Sort 0, q, -13 in increasing order.\nAnswer: -13, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.795 + -3.29. Let v = g - 9.505. Which is the nearest to v? (a) -1 (b) -0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)\/(m**6\/m))**(-2\/103) assuming m is positive.\nAnswer: m**(16\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**1\/j))\/(j*j**(-2\/13)*j) assuming j is positive.\nAnswer: j**(2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/20 - -1\/4. Suppose 16*g + 528 = 2816. Let w = 1575\/11 - g. Sort -3, 4, k, w in decreasing order.\nAnswer: 4, k, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*s - 20 + 6 - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-10)\/f*f**5*(f*f**(-11))\/(f*f*f**(3\/4)))**9)**(-25) assuming f is positive.\nAnswer: f**(15975\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9966 + -5399. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 367118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 22 = -n. Let c = n + 11. Let s = 12 - 8. Solve c*a + s*d = -a - 1, 0 = -4*a - 2*d - 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4\/4 - 15*l**3\/2 - 157*l**2\/4 + 408*l + 2240 = 0. Calculate l.\nAnswer: -16, -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 297543*q. Let t(w) = 2*w. Give b(t(o)).\nAnswer: 595086*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 2. Let n(r) = -r + 3. Suppose 2*p + p = -2*a + 20, 3*p - 5 = -5*a. Suppose y = 5*j - p, 0*y - 3*y + 6 = -3*j. Give y*n(z) + 8*o(z).\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 10*w - 4 + 50*w as m + h*w and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2\/3, 2\/11, 16?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 18 = -0*u + 2*d, -3*u - 5*d = 39. Let o = u - -11. Suppose -40 = -t - 5*f, 2*t + 2*f = 69 + o. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 2*m + 7. Calculate d(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * 576\nAnswer: -63.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.4 - 2. Let c = 3 + -3.1. Let t = 0 + c. What is the third biggest value in 4, m, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 9) to base 16.\nAnswer: -6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 39694116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 387225 + -387221.000004. Let s = 1.2 + -5.2. Let x = s + a. Round x to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 + k - 8. Suppose 0 = m - 0*m - 5. Let p(f) = -4*f**2 + 2*f - 12. Let o(i) = m*p(i) - 7*l(i). What is o(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 12:14 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*(x*x**9)\/x*x*x)\/(x**10\/x))\/(x\/x**(-1\/4))**(-2\/27))**(-3\/4) assuming x is positive.\nAnswer: x**(-221\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 13, 0 in increasing order.\nAnswer: 0, 13, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 2:08 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4799\/5136 + -1\/321. Find the common denominator of 5 - (21\/(-18) + 8) and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, 3, -14, 144 in ascending order.\nAnswer: -14, -10, 2, 3, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g. Let h(m) = 38*m**2. Let j(t) = -a(t) + h(t). Let k be j(-2). Suppose 5*b - k = -0*b. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 87 = -v, -7*v = -5*p - 2*v + 125. Solve -20 = -33*l + p*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -17 - -9) + -4 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-791 + 393 + 398 + 16523*y)*(3*y**2 - 3*y**2 - 2*y**2).\nAnswer: -33046*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000605256084 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 16. Let h be k(-12). Suppose h*v - 3*z + 14 = -z, 2*z = 10. Sort 4, v, 3 in increasing order.\nAnswer: v, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -698 + 703. Solve -d - 5 = -0*d - 3*s, -m*d - 4*s = -32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17405673431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5060133 is divided by 337335?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*u - 177, -2*l + 4*l = -3*u + 93. Let t be 9\/l - (-72)\/(-10). Let s(o) be the first derivative of -o**3\/3 - 7*o**2\/2 + 2*o + 1. Give s(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.21*-127836.\nAnswer: 1305205.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**3 - 1099*u**2 - 267*u - 2121. What is g(275)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 (base 15) in base 10?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4*6\/72*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 l, and 1 d when four letters picked without replacement from {l: 4, p: 2, d: 1, n: 2, g: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 - 2*r**2 + 0*r**2 + ((2*r - 2*r + r)*(3 - 5 + 3) + 41*r - 29*r + 18*r)*(-2*r - r + r + (-3 - 2 + 6)*(65 - 65 - 10*r)).\nAnswer: -374*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1721 - 1749.998. Let z = 29.013 + -0.013. Let r = m + z. Round r to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 1, b: 1, o: 2, r: 2, i: 1}. Give prob of picking 1 r and 1 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22570 divided by -61.\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 313727.20012 + -313651.2. Let y = 76 - p. Round y to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33830 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-173 - -62) + (52 - -4)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103*n*v*x**3 - 1850*n*v*x**2 + 4*n*x**2 + 2*v*x - 2342*x**3 wrt x.\nAnswer: 618*n*v - 14052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 716 and 83414?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3243749 is divided by 129748.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t + 4. Let v be (1 + -152 + -1)*t. What is the tens digit of -5*(-2 + v\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4863 = 27*b - 48414. List the prime factors of b.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2 - 8 + 4 + a + 4 + 1. Determine b(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttgtgttgtttgt. Give prob of picking 4 t.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 397 divided by -51064\nAnswer: -397\/51064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-10) - (-1155)\/(-300)) + 4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210 - -3162. List the prime factors of a.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -34*i**3 - i**2 + 4*i - 16. Determine x(5).\nAnswer: -4271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i**3 + 285*i**2 + 184*i + 2025. Give w(72).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6170164 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 169.87327?\nAnswer: 169.57327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 14 = 5*s, 5*l + 5*s = -0*s + 40. Is l > 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 3 + 5)*(-2 + 3 + 1) - 1 + 0 - 7)*(0 + 1 - 3)*(-3 - 1 + 10)*(0*l - 4*l + 0*l).\nAnswer: -192*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - -1*(-27)\/(-12). Let k be 4\/14 - (33796\/6468 - 22\/(-363)). What is the nearest to -2\/7 in f, -1\/3, k, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/33 and -13\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1824 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/1757 - -128271\/17570. Calculate the common denominator of 69\/16 and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92046 is divided by 92013?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77520427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 2*c**2 - 9*c - 1. Let f be x(-4). What is the third derivative of 37*s**4 + 16 + s**2 + 10*s**4 + 2*s**f - 65*s**4 wrt s?\nAnswer: -432*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2 + 252\/(-8). Let a be (-5)\/25 - 858\/10. Let j = i - a. Calculate the remainder when j is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -17. Let p be (h - (-49)\/(-5)) + (-1)\/5. Let x(y) = -y + 2. Let b(k) = -6*k + 2*k + 6 + k. What is p*x(s) + 2*b(s)?\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301432 is divided by 75352.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 694, 693, 692, 691?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 199 = -j - 2*i, 5*j + 5*i + 915 = 0. Let b = -49 - j. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496 = -80*l + 336 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 342\/266 + 2\/8 + (-330)\/616.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-226)\/452)\/((-30)\/316) and 34\/12 - (-6)\/27.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11647 divide 2208759657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 a when four letters picked without replacement from wawwwwabwawbwwwww.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-13)\/(-65) + (-2 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*h = 104402, 5*g - 59033 = -h + 462929. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -176890.319906 - -176890. Let p = q - -0.32. Round p to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/((-70)\/56)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.121 - 0.12099769. What is c rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 916800 to the nearest ten thousand.\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -129*p**4\/2 - p**3 - 6*p**2 - 346*p - 2. Find the second derivative of j(a) wrt a.\nAnswer: -1548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2 + sqrt(320) + sqrt(5))*-1 + -4 - (-3 + sqrt(320) - sqrt(60)\/sqrt(108))).\nAnswer: -50*sqrt(5)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v - 15 = 0. Is 27 a factor of 3620\/50 - 3\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12006 and 9.\nAnswer: 12015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1978 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 493519, -9 in decreasing order.\nAnswer: 493519, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((1 - 158)*1)\/(36 + (-2309315)\/64147) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 74. Suppose 2*x = -3*l - 2*l + u, 4*x - 3*l = 89. Is (30\/8)\/(x\/184) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 648 and -127591130.\nAnswer: -127590482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j + 5*j + 4*j + 7*j - 18*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 566113 - 424?\nAnswer: 565356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/5 of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15154416 (base 7) to base 16.\nAnswer: -160185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 142 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 535*m + 33687. Calculate i(-63).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 - 15412*q\/3 + 59382436\/3.\nAnswer: (q - 7706)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -9*p + 5. Let x(l) = 8*l - 5. Let o = -3 - -10. Let a(m) = o*x(m) + 6*t(m). Let j be a(5). Solve -f = -0 + j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147\/(-105) - (-4)\/10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 47?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-756)\/(-36)*(-1 + -1 - -1). Let f = -19 - r. Which is smaller: -5\/2 or f?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n - 14. Let t be o(6). Let y = t + -20. What is the highest common divisor of 98 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*k - 5*k = 125, 0 = 2*g - 2*k - 64. Let v = 10 - 17. Let m = v + g. Calculate the highest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 2*l + 3*l)*(7 - 13 + 7)*(213 + 7 + 14 + 243) to the form k + w*l and give w.\nAnswer: 954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, p: 1, d: 9, a: 7, w: 1, m: 1}. Give prob of picking 2 a.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 215 = -i - 119, 0 = 6*i + 5*s + 91 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -60\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*2)\/((-14)\/(21\/3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.2 + 2.2. What is the closest to 2\/7 in -0.06, -3\/2, u?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 970464251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1635 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.049482 - -0.049482. Let p = -71.927 - -72. Which is greater: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42867 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36238*d**2 - 60205*d?\nAnswer: -72476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153209 by -509.\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*m + 51739 = 0, -2*m = -146*w + 151*w - 86219. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 447, 1\/5?\nAnswer: 447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/(-1)*(-3)\/(-9). Let v = p + 11. Which is bigger: v or -2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -201. Calculate the highest common divisor of o and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 - -47. Let d = 546 - 506. Calculate the remainder when u is divided by d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2755 (base 10) in base 7?\nAnswer: -11014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l**2*n**3 - 2*l**2*n - 94*l + 16*n**5 + n wrt n?\nAnswer: 24*l**2*n + 320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -69718*-32\nAnswer: 2230976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 2:46 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24, 6, 1, 34 in ascending order.\nAnswer: -24, -1, 1, 6, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/6 - 14558*z + 87350\/3.\nAnswer: -(z - 2)*(z + 87350)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210) + -3*(sqrt(210) + sqrt(210)*-2))\/(1*sqrt(726)))\/(sqrt(700) + sqrt(700)*4 + sqrt(28)\/(sqrt(20)\/sqrt(5))).\nAnswer: 4*sqrt(5)\/561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -25. Let v be (-2)\/(y - 436\/216). Suppose 3*g - v = -3*u, 198 = u + 4*u - g. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 2 - 11*g**2 - 3*g**2.\nAnswer: -13*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/410 and -7\/1066?\nAnswer: 5330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*m + 4*i - 29, 10 = 2*i. Let b be 7\/(8\/2 + 7\/(-2)). Let r(y) = -3*y + m*y - b*y. Let v(l) = -2*l. Calculate r(v(g)).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + (-73 - -23 - -20).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q - 5. Let h = 3619 + -3606. Calculate the smallest common multiple of q and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -170, -1843, -6528, -15731, -30958, -53715, -85508?\n\"Answer: -251*z**3 + 84*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((48\/(-210))\/(-4))\/((-5)\/100).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19920120 by -55.\nAnswer: 362184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20221 (base 3) to base 9\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*j + 467 - 512 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78671\/25 - 3148. Calculate the common denominator of y and -31\/55.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*f**3 - 27*f**3 + 106*f**3 - 28*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, i: 1, q: 5, p: 5}. Give prob of sequence iqkk.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97028, 97136, 97234, 97322, 97400?\nAnswer: 97468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 257*h**2 - 38*h**2 + 151*h**2 + 2 to the form r*h**2 + y*h + a and give r.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, -0.4, -88.1, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1979058199.\nAnswer: 22567, 87697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*b - 105800, 5*b - 124*m = -122*m + 132259. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528) - (-5*sqrt(528)*-2 + sqrt(528)))\/sqrt(12))**2 - (-3*(sqrt(891) + -1 + sqrt(891) + ((sqrt(99) + 3 - sqrt(11)) + sqrt(11) - sqrt(11))))**2.\nAnswer: -35236 - 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 6 - (25 - (-5 + 9) - 1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqqq when four letters picked without replacement from pupppqqqqq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 17049942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 18 + (-6 - 6) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 41 (b) -59.82 (c) -0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.3727 rounded to 1 decimal place?\nAnswer: 135.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/22090 and 67\/94.\nAnswer: 22090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 12*n + 4*d - 36, -3*n = -2*d - 32. Suppose -25 = 5*j - n*j. Which is the biggest value? (a) 2 (b) 8.6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -559 - 1216?\nAnswer: -1775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1508970501.001619 + -1508974368. Let l = -3867 - f. Round l to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(-20479 - 18467 + 45023)*(z**3 + 3*z**3 - 5*z**3) in the form v*z + a + j*z**2 + r*z**3 and give r.\nAnswer: -12154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 7 = -2*i. Let b(j) = 5*j**i - 10*j**2 + j**2. Let a(t) = 6*t**2. What is b(a(w))?\nAnswer: -144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/19 + 658*f**2\/19 + 39894*f\/19 - 2478186\/19.\nAnswer: 2*(f - 37)*(f + 183)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 0 - 1\/6*b**3 - 1\/12*b**5 + 1\/24*b**4 - 6*b**2 + 0*b. Determine s(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.9 - 13. Let j = 0.05 + -2.05. Is j greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 64.\nAnswer: 4*(p - 4)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830.7558 hours to microseconds.\nAnswer: 2990720880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 506, 699, 906, 1133, 1386, 1671, 1994?\nAnswer: 2361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 33, 4, 9?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14 - 10*q**3 + 14 + 2*q + 8 - 9*q**2 - 30*q**2 - 11 wrt q?\nAnswer: -60*q - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-25)\/d)**(1\/5)\/(d\/(d**(-11)\/d))**(19\/2) assuming d is positive.\nAnswer: d**(-1287\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + x + 1 = 0, 0 = -5*q - 3*x - 5 - 30. Let s be (q\/(-2))\/(-4)*0. Suppose -5*c + 24 = -3*o - 6, s = -4*c + 4*o + 32. Solve 0*t = -c*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/6 - 1\/3. Let w be (0\/(24\/(-4) - -4))\/2. Suppose 4*n + 5*y + 6 - 1 = w, 2*y = n - 15. Solve -n*t = 1 + r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1558, 286, -986, -2258, -3530, -4802?\nAnswer: -6074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(294) + 2*sqrt(294) + sqrt(294) + sqrt(294) + sqrt(294) - sqrt(6) - sqrt(6)).\nAnswer: sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 14*g - 9. Calculate r(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*k**2*o*s**2 + 34*k**2*s - 5*k*o*s**2 + 2*o*s wrt s.\nAnswer: -18*k**2*o - 10*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d**2 - 2*d - 1. Let l = 79 - 74. Suppose -2*h + 2*x - 3 - l = 0, 0 = 5*h + 5*x - 10. Give m(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*10126\/(-25315).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1741931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1478293, 2956576, 4434859, 5913142, 7391425?\n\"Answer: 1478283*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -136, 0.573, 2, -1\/2, 0.4?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -36) + (3 - 9) + -18\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -18, -1, -2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*m**2 + 18*m**2 - 8*m**2)*(-2 + 2 - 2*m**2).\nAnswer: -64*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -7, -5, -300, 117 in decreasing order.\nAnswer: 117, 5, -1, -5, -7, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1547?\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 250311614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14 - (-45)\/504\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 3 (b) -0.4 (c) -3\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 611 and 91.\nAnswer: 4277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 + 19*l + 70. What is i(-3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 5*l + l - 4, 0 = -5*r + 5*l + 30. Suppose r*x - x - 105 = 0. Calculate the remainder when x is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - o**2 - 2*o - 59. Let f(z) = -5*z**3 - 4*z**2 - 11*z - 303. Calculate -11*a(k) + 2*f(k).\nAnswer: k**3 + 3*k**2 + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l + 66. Let s(z) = z - 2. Let h(o) = -i(o) - 6*s(o). Is h(-5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (132\/(-15) + 9)*-11*-2615.\nAnswer: 11, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0015, -3.5, -3\/5 in decreasing order.\nAnswer: 0.0015, -3\/5, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 238236266*m**3*z**2 + 187874*m**2*z + m**2 + 195*z**2 wrt m.\nAnswer: 1429417596*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, e: 1, g: 5, w: 9}. What is prob of picking 1 w and 1 e?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -333*n - 14213. What is g(-43)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -53. Which is bigger: 28 or c?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 26*z**2 + 68*z - 14. Let n be a(-23). Let l be ((-21)\/3)\/((-1)\/3). What is the units digit of 2800\/l - 3\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*((1 - -1) + 4 + (-1665)\/270). Factor 0*q + 4\/5*q**3 - 2\/5*q**4 + g - 2\/5*q**2.\nAnswer: -2*q**2*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2. Suppose 11*l = l + 10. Let j(s) = 11 - 3 + l - 9 + 23*s. Calculate j(q(m)).\nAnswer: -23*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 60, 108?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 84750 - 3117?\nAnswer: 81632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 195 + 241 - 251.\nAnswer: -t - 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -20*v - 176. Let s be t(-9). Let j(r) = 2. Let i(g) = g + 8. Let x(c) = 2*i(c) - 9*j(c). Give x(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 - r + r + (r + 4*r**3 - r)*(-4 + 1 + 1) - 2*r**3 + 0 + 0.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166 + (113 - 210) - -4.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2389\/11 - 6\/33. Let m = -1411\/6 + l. What is the common denominator of m and 75\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.005 + 0.00500095. What is k rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -310890\/77 and -4037 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (192\/(-1056))\/(1\/(-88))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 6*d + d + (0 - 1 - 1)*(-6*d + 2*d - 3*d) - d - 1 + 1 to the form h + o*d and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a = t - 55814, -t - 5*a + 55804 = 0. Suppose 0 = -5*v + 2*u - 43060, 21414 = 4*v + 5*u + t. What is v rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + -3*8\/108*-12. What is the nearest to -0.04 in 1, 4, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utth when four letters picked without replacement from phvqhuhupuhhtvvpvth?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 557*t**5 - 13170*t**3 - 8804*t**2 + 594 wrt t?\nAnswer: 33420*t**2 - 79020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -327172978.\nAnswer: -327172981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3486 and 111498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 3. Suppose -4*c = -4*o + 84, -2*o = -5*c - 56 + 11. What is the smallest common multiple of o and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-14))\/(4\/140). Let r = p + 42. Solve -s + r = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(693)\/sqrt(99))\/(sqrt(900)*4))*2)**2.\nAnswer: sqrt(7)\/15 + 14407\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 581963087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27 and -0.35.\nAnswer: -9.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**2*r*w - 4*i**2*w + 83903*i*r + 19*r + 2872185*w + 2 wrt r?\nAnswer: -i**2*w + 83903*i + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 - 0.01. Let m(w) be the third derivative of w**4\/12 + w**3\/6 - 2*w**2. Let o be m(2). Which is the biggest value? (a) g (b) o (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 463 or -1?\nAnswer: 463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 801*n + 99753. Give u(154).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (17 + (-351)\/21)\/((-4)\/(-42)). Solve 0 = y*s + 22 - 4 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -474095, -948320, -1422545, -1896770?\n\"Answer: -474225*s + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + (3*sqrt(162) - sqrt(162)) + sqrt(162) + -2)*3 + 5*(sqrt(96)\/(sqrt(12)*2))\/sqrt(4).\nAnswer: -6 + 221*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 15*v - 9. Let x be w(6). What is the greatest common factor of 30 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -710, -721, -730, -737?\n\"Answer: z**2 - 14*z - 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1566524 is divided by 37298.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 3*k = -2*v - 21, 3*v + 4*k - 6 = 0. Suppose 3*q - 6*q = -v. Find the third derivative of -d**2 + 2*d**3 + 0*d**q + 6*d**3 wrt d.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35438 - 34?\nAnswer: 35404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 32*z**2 - 4*z - 44. Let j(n) = 22 + 2 - 31 - 36 + 31*n**2 - 3*n. Let t(b) = 6*j(b) - 5*o(b). What is the first derivative of t(k) wrt k?\nAnswer: 52*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.437413 + 88.448713. Let p = 84.82 - -2.18. Let j = f - p. Round j to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -16*s + 328. Let q(y) = 21*y**2 - 15*y + 14. Let n be q(1). Calculate the lowest common multiple of p(n) and 1104.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-2)*(3\/(-24))\/((-205)\/10824*-11).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -295722617*m**2. Let r(n) = 4*n**2. What is b(r(u))?\nAnswer: -4731561872*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -10*k**3 - 15*k**2 - 11*k - 13. Let d be ((-27)\/12)\/(6\/8 - 396\/352). Let a(y) = -5*y**3 - 7*y**2 - 5*y - 6. Give d*n(c) - 13*a(c).\nAnswer: 5*c**3 + c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 376351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6248442, -12496799, -18745156, -24993513?\n\"Answer: -6248357*i - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5 - 923*v**4 - 108988*v**3 - 573643*v**2 - 205656*v + 259920 = 0. Calculate v.\nAnswer: -228, -5, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -321, 1 in descending order.\nAnswer: 1, 2\/15, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + m = 12, d + 0*m = 4*m + 20. Suppose 0 = 5*h - d - 396. Is 30 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - ((-43 - 12) + -4 + -3). Let x(a) = a**3 + 6*a**2 + 3*a - 1. Let y be x(-5). What is the greatest common factor of h and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5 + 13. Suppose 2*w - 4*z - 80 = 0, 0 = -i*w + 3*z - 10 + 87. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/6 and 1690\/(-880) - (-1)\/(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1222317.\nAnswer: 1\/1222317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**5\/10 - 4*a**4\/3 - 17*a**3\/6 + 11*a**2 - 202*a. Is 36 a factor of j(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.841729ml?\nAnswer: 0.000841729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**3 + 2*z**3 + 6 - 15*z**3 - 3*z + 8*z**3 - 4*z**2. Let c be o(-3). Let s(p) = -4*p + 1. Let v be s(-1). Solve c - 16 = -v*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 29351 = 5*r, 5*r - 2932 = j - 17630. Let a = -293573\/20 + j. Calculate the common denominator of ((-19)\/2)\/(1 - 12) and a.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 300 + 71. Let f = t + -359. Solve f = i + 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16390.\nAnswer: 2, 5, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2300101 (base 4) in base 15?\nAnswer: -3521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1 - 3*p**2 + 4*p**2 + 0*p**2 - 8. Let v(b) = 1. Determine 5*q(r) + 35*v(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3+5855\nAnswer: 5852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*l**2*s**2 - 11*d**3*s - 2*d**2*s - 17*d*l**2*s**2 - l**2 wrt s.\nAnswer: 4*d**3*l**2 - 34*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 2, y: 3, i: 1}. What is prob of picking 1 t and 2 y?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2*s - 22, r + 9*s - 12*s - 23 = 0. Let f(t) = t**3 + 5*t**2 - 1. Let q(w) = w**3 + 6*w**2 - 1. Suppose 3 = -z - 3. Give r*q(c) + z*f(c).\nAnswer: -c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -282845 <= -282842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 514 and 6425?\nAnswer: 12850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -10*q + 147459. Suppose 4*p - q = -u, -3*u + 25 = -8*u. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 234522242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 222178 and 51.\nAnswer: 222229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2569*i**2 - 3732*i**2 - 1581*i**2 to the form l + k*i + c*i**2 and give c.\nAnswer: -2744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3 (b) 14 (c) -205 (d) -0.1 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78972130.\nAnswer: 2, 5, 73, 251, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -2.3. Suppose -g = y - 0 - 5, 5*g - 24 = -4*y. Which is the nearest to m? (a) 0.4 (b) -0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -16*k**3 - k**2 - 10*k - 4. Let s(x) = -17*x**3 - x**2 - 8*x - 3. Give 3*a(d) - 4*s(d).\nAnswer: 20*d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n - 68 = 0. Let d = n + 29. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -472 divided by -4\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -75, 4\/5, 1\/18, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 10:58 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-21)\/(-12))\/((-2)\/(-32)) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5842 (b) -65 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.9 - 25. Let y = -3 + 6. Let k = y + v. What is the nearest to k in 2, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (86\/(-60372))\/(1\/(-12))?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42787463 is divided by 8498?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*s. Let w be s - -1*1\/(-3). Let v = -3.2 - -0.2. What is the biggest value in v, w, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*i - 3, -2*i - 10 = 2*y. Let b = 5 - y. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12786*y - 54591*y + 0 + 8 - 8)*(2 - 7 - 1) as n + k*y and give k.\nAnswer: 250830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*n - 1113 + 1353 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*a = 38*a + 160 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*j - 224 = 0, -515 - 371 = -4*f - 2*j. Which is smaller: -0.1 or f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 54\/10 - (-6)\/(-15). Let h(o) = -o - 2*o + d*o - 3*o. Let b(j) = 3*j**2. Give h(b(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -6) + (-2 - (1 - 1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**2)**(1\/33))**(14\/11))**11 assuming y is positive.\nAnswer: y**(28\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, c: 5, t: 3, s: 5, g: 3}. What is prob of sequence tcst?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134043.8 - -133979.80027. Let o = d - -64. Round o to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*s - 32*s - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + 1)\/(4\/26). Suppose -l + c = -0. What are the prime factors of l?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22623, -22618, -22627, -22656, -22711?\n\"Answer: -o**3 - o**2 + 15*o - 22636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8739829*l**3*y**3 + 12*l**2*y**3 + 70*l**2*y - l**2 + l*y - 42*y wrt l?\nAnswer: -52438974*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 6 + 2*n)*(n + 2 - 2) - 9*n - 12*n**2 + 9*n)*(0*n**3 + 0*n**3 + 2*n**3) + (-2*n + n + 2*n)*(2*n**4 + 4*n - 4*n).\nAnswer: -18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 14. What is the tens digit of ((-61)\/h)\/(10\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 47061.\nAnswer: -5\/47061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -425*i**2 - 4*i + 4*i + 614*i**2 + (-3*i + 6*i - i)*(-3 + 2*i + 3).\nAnswer: 193*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 168760*m**2 + 11116705*m - 10947950.\nAnswer: 5*(m - 33686)*(m - 65)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7982 divided by 6.\nAnswer: -3991\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (224\/(-2))\/14*6171\/7480.\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -21 + (77 - 24)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 5:52 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141664 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 2952*h**4 + 19*h**3\/3 - h**2 - 17*h + 4582. What is the third derivative of o(c) wrt c?\nAnswer: 70848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v*v**(-5))\/(v**5\/((v*v\/(v*v**3))\/v))*v*v**4*v*v**0\/v*v**1*v*(v*v**(-6))\/v assuming v is positive.\nAnswer: v**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038979731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1.787. Let f = 11.313 + b. Let x = f - 11. What is the nearest to 0 in 4, -2\/21, x?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 4*m + 10, -2*m - 2 = 2*l - 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 400518 and 3740546.\nAnswer: 4141064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-855)*-3)\/(-15*2\/(-90))?\nAnswer: -16\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 955114, 955107, 955100, 955093?\n\"Answer: -7*s + 955121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 8*m**4\/7 + 6*m**3 - 278*m**2\/7 - 72*m\/7 = 0?\nAnswer: -9, -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(49\/12)*(1309\/(-22))\/(-17)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 11303?\nAnswer: 11322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 8 = 30615*w - 30618*w, 0 = -4*m + 4*w - 16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 12:22 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/2420 and -109\/420.\nAnswer: 50820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ollbbbboboljljo. Give prob of sequence bjlj.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1356935.3 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.27*0.002555\nAnswer: 0.00068985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22118?\nAnswer: 2, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3672 and 610776?\nAnswer: 1832328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**4 + 3*u**4 - 7*u**4 + (-5*u**2 + 5*u**2 - 2*u**2)*(-u**2 + 0 + 0) + (-3*u**4 + 3*u**4 + 3*u**4)*(-5 + 2 + 0).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -31*d**2 - 285*d. Let l(j) = 20*j**2 + 190*j. Give 8*l(c) + 5*z(c).\nAnswer: 5*c**2 + 95*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/11 - 178\/(-11). Solve 3*l - h = 7*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86949618 and 2136?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1225*s - 2 + 7 - 5 - 228*s as c*s + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*18\/(-220) + 2748\/(-7557).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 + 2*n**3 + 2*n**2 + 0*n**2 + 0*n + 4*n - 2. What is the remainder when v(3) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**2 + 393920*u - 7758648320 = 0. What is u?\nAnswer: 39392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1744 = 4*y + 1816 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*x - 207*x + 1483 = 8133 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-35137)\/(-19188)*52 + -97\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.1, -26, -0.4 in ascending order.\nAnswer: -26, -0.4, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 149, 228, 307, 386, 465?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/(380\/(-8)) - (-414)\/10. Suppose -x + 26 = -5*v. What is the remainder when v is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1715 = 2*d, -2*d - 3*l + 353 = -1368. Suppose -1615 = -8*i + d. What are the prime factors of i?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242865179 or 242865182?\nAnswer: 242865179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -357, -715, -1073, -1431?\n\"Answer: -358*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -889438 and -889438 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, 4.2, -3, -0.12, -172, 5?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 121 and -118.\nAnswer: -14278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 19143*w**2 - 3 - 38279*w**2 + 19133*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 12*g**4 - 24*g**3 - 147*g**2 + 438*g - 279. Let d(o) = -3*o**4 + 6*o**3 + 37*o**2 - 110*o + 70. Let l(x) = 9*d(x) + 2*s(x). Solve l(t) = 0 for t.\nAnswer: -4, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 12:11 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**3 - 213*w**2 - 435*w - 219 = 0.\nAnswer: -1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r**3 - 31*r**2 - 20*r + 120. Let l be t(26). Round l to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2274 or -4930?\nAnswer: -4930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 4 - 6)*(-5 + 5 - 2*z)*(-5 - 3 - 16) + 4*z + 0*z + 0*z)*((0 - 1 + 5)*(z - 2*z + 2*z) + 8 - 13 + z + 1) to the form q*z**2 + b + g*z and give q.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 107841 (c) 6\/973\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eteteteetee.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6*-1)\/((-107081)\/(-74133)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 9:54 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 745442 divided by 1\nAnswer: 745442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from fftitfiftttftff.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*v + 26*v**3 + 81*v**3 - 20*v - 1 wrt v?\nAnswer: 642*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279, 280, 281?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g - 3*t = 30, 29 = 3*g - 4*t. Let n(s) be the third derivative of 0*s + 0*s**g + s**2 + 0 - 1\/8*s**4. Let x(l) = -l**2. Give n(x(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.02 + 11.28. Let p = l + -12.29955. What is p rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -96.2?\nAnswer: 94.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 51*g**3 - g**2 + g - 3. Let q(b) = -b**2 - 5*b - 4. Let d be q(-3). Is l(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 7*m + 10 = 2*j, 4*m - 5 = -j. Suppose m = 8*b - 7*b - 1038. List the prime factors of b.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/57)\/((-5 - -1) + (-5893)\/(-1491)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2258ab - -90?\nAnswer: -22581b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.46 + 3.4313. Let l = 3.6813 - s. Let j = l - 3.7099789. Round j to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e34 - 220?\nAnswer: 1c14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3 = 2*s. Suppose -q - s*q + 40 = 0. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 24*t**2 + 12*t - 187. Let n be l(-23). What is the greatest common factor of n and 550?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/2*-13*(-20)\/130.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1430733.4 to the nearest one thousand.\nAnswer: -1431000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -7. What is the units digit of (1 - (u - 1))*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -35, -4, -6, 15 in increasing order.\nAnswer: -35, -6, -4, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2\/21*q**5 - 52\/21*q**4 + 32\/3 + 118\/21*q**3 - 440\/21*q + 152\/21*q**2 = 0.\nAnswer: -28, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18989, 17334, 15679, 14024, 12369, 10714?\nAnswer: 9059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1196, -2397, -3598, -4799, -6000, -7201?\nAnswer: -8402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213*d**3 + 82*d**2 + 1 wrt d.\nAnswer: -1278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1246 + -231?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 at most as big as -2665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -26. Let p be (-6)\/c - 894\/(-15). Let k = 94 - p. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52 + 135601?\nAnswer: 135653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(-9) - 5536\/(-36) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 3, 2, -32.\nAnswer: -32, -7, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10328289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1125*n**2 - 2. Let g(p) = -12*p. What is k(g(b))?\nAnswer: 162000*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x + 6817 = 6201 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8725068.\nAnswer: 2, 3, 11, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24935477*k*r**2 - 1384*k - 25466*r wrt r?\nAnswer: -49870954*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 678.\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 435719 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 13*u**2 - 727*u + 732. Determine r(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 234550527*r**3 + 80707611*r - 2.\nAnswer: 1407303162*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 3. Let o be q(0). Suppose -7 = -o*h - 1. Let k be 1*(h\/2 - -8). Calculate the highest common divisor of k and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 134408 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 5*x - 2200. Suppose -3*q - 8*q + x = 0. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4)*d)\/(((d*d\/d**6)\/d)\/d*d))**(1\/7)\/(((d\/(d**3\/d))\/d)\/d*d**(2\/7))**(1\/10) assuming d is positive.\nAnswer: d**(153\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (438\/(-1022))\/(3\/(-5))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3881)\/(-7) - (-2)\/(28\/(-6))?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 984 - 3967\/4. Find the common denominator of 109\/10 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45.7 - 46. Let p = -2 + 4. What is the closest to 0.1 in p, j, -3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32344\/(-622))\/((585\/(-6))\/15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, c: 3, i: 1, a: 4}. Give prob of sequence vva.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -776, 3, 0, 42972 in decreasing order.\nAnswer: 42972, 3, 0, -776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48699?\nAnswer: 3, 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 129866 to the power of 1\/2, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00181978 to five dps.\nAnswer: 0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 727.6289905088 + 0.\nAnswer: 727.6289905088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u + u - 3*u)*((-1 + 3 + 0)*(-2*u - 1 + 1) + 0*u + 0*u - 2*u - 1722*u + 5760 - 5760) to o*u**2 + m + q*u and give o.\nAnswer: -3456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -400154 + 1600637\/4. Suppose -3\/4*m**5 - 3\/2*m**2 - 9\/2*m**3 - 9\/4 + n*m + 15\/4*m**4 = 0. Calculate m.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34459 - -34458.5. Put -332, 0, c, -5, 3 in descending order.\nAnswer: 3, 0, c, -5, -332","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 44*x - 3 + 3.\nAnswer: -44*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -0.1, 2\/5, 0.2, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5\/14, 1\/16609 in decreasing order.\nAnswer: 4, 1\/16609, -5\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 4 (c) 0 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1573)*2.\nAnswer: 2 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 10*f - 12 = -8*p, p = 3*f - 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2030 and 1470?\nAnswer: 42630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**3 - 7*s**3 + 6 - 8*s - 10*s**2 + 0*s. Let n be b(-9). Let r(t) = -19*t + 7. What is the tens digit of r(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - -2 - -3) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4489, 8803, 13117, 17431, 21745?\n\"Answer: 4314*q + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, y: 5}. Give prob of picking 2 q and 2 y.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 5\/11, -0.7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9*i**3 + 3*i**2 - 8*i - 10. Let a be x(-5). Is 2 - (a\/(-6) + 3) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.078 - 0.022. Which is the nearest to 1? (a) -4 (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, 4, 39, 94, 175, 288, 439?\n\"Answer: b**3 + b**2 + 11*b - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hiet when four letters picked without replacement from iteoh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*k**5\/7 - 219122*k**4\/7 - 13788444*k**3\/7 + 193237542*k**2\/7 - 640428984*k\/7 + 148246200\/7 = 0. Calculate k.\nAnswer: -75, 1\/4, 6, 27453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -8 + (20 - 4) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 4*g - 17. Let l be t(7). Suppose -l = u, -2*v + u - 4*u + 152 = 0. List the prime factors of v.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/(-5)*(-30)\/2700*-45\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 568*q**2 + 476 + 573*q**2 + 32 + 63*q - 1150*q**2 wrt q?\nAnswer: -18*q + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 226\/7 (b) -487.4 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -0.3 (c) -4\/3 (d) 4 (e) -6 (f) 1\/262625 (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53521137\/10 or 5352114?\nAnswer: 53521137\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - r - 3)*(1 - 4 + 2 + (-4 + 3 + 0)*(4 + 0 + 1) + 2 - 6 + 2) in the form g + b*r and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 c when three letters picked without replacement from {n: 3, o: 3, f: 11, c: 1, y: 1}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9*t + 4. Let c(o) = -10*o + 5. What is -2*c(n) + 3*s(n)?\nAnswer: -7*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x - q - 11, -2*q = 2*x + 2. Let u be (2 + 2 + -4)\/(-2). Let v be 10\/(-14)*5\/((-30)\/42). Sort x, u, v in increasing order.\nAnswer: x, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422a (base 15) in base 14?\nAnswer: -5154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1832 - 3?\nAnswer: -1835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**4 - 10*r**3 - 125*r**2 + 250*r = 0.\nAnswer: -5, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 10:58 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 54694 - 18106 = 0. Round p to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 564\/14 + (-2)\/7. Let f = -1 - -3. Suppose f*a - 3*k - 22 = 0, 2*a - 4*k - 31 = -a. What is the greatest common divisor of a and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -m. Suppose m*s - 3 - 5 = 0. What is the second derivative of -x + 3*x**4 - x**4 - x**s wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -68. Let o = -2525 - -2701. What is the remainder when o is divided by j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -0.029, 4?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114 and 15?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 6*w - 11. Let k be x(2). Suppose -k*d + 3 = -37. Solve 3*z = -5*n - d, -2*z + n = -0*z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*r = 130*r + 840. Solve -5*k - 4*f + 18 = 0, -r*f - 14 = 5*k - 34 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1764 and 7924.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 6*u - 13. Give q(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*y - 12 - 2*y - 3*y - 6*y**3 + 8*y wrt y.\nAnswer: -36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 3001?\nAnswer: 3001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + -6. Let j(f) = -f**2 - 14*f + 10. Let v be j(p). Let o(k) = -8*k**2 - k**3 + 7 - k + 2*k**2 - 4*k. Determine o(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 28*d**2 - 21*d - 4. Let g(p) = -29*p**2 + 22*p + 5. Let t(i) = 5*b(i) + 4*g(i). Find the second derivative of t(l) wrt l.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = y - 3*o, -2*o = y - 3 - 0. Suppose 0*m - 5*i = 2*m + 20, 0 = -m + i + 4. Let c be 6 - (4 - (m - -1)). Put -4, y, c in descending order.\nAnswer: y, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14206276*z + 7846876.\nAnswer: 14206276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/((z**(-15)*z)\/z))\/z)**(2\/7)*(z**12\/z)**38)**38 assuming z is positive.\nAnswer: z**(112404\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 3*t**2 + 4*t - 4. Let v be a(-4). Let b be (-6)\/((32\/v)\/4). Let f be (3\/2)\/(b\/10). Solve -5*r + 1 = -2*q - 14, -5*r = -4*q - f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -51. Let a be ((-1*u)\/(28\/21))\/6. What is the biggest value in a, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*l + 31 = 0, -3*v - v - 3*l - 7 = 0. Suppose -208 = v*u - 6*u. Calculate the remainder when u is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 712 - 657. What is the remainder when c is divided by (-54)\/(-42)*56\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(108))*2)**2 + sqrt(108)*2 + -5 + 5 + -5*(-6*(-1 + sqrt(108) + sqrt(108) + 0))**2)*-3.\nAnswer: -12996*sqrt(3) + 232524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjijjiiijjjij. Give prob of picking 3 i.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/9 - 487*d\/9 + 488\/9.\nAnswer: -(d - 1)*(d + 488)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) -1\/6 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.243 - 138.757. Let k = m - -142. Let w = -461\/20 + 89\/4. What is the closest to -2 in w, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -2 (c) -0.22 (d) 0.044 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183389586 and 268.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 46 - 2 = 0. Suppose -17*t = -a*t. Suppose 2*s + 4*j = 7 - 13, -3*s + 3 = 2*j. Solve g - s*f + 1 = -2, t = -2*f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9805700 and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9699*t - 9340*t + 4 + t**3 + 1 to d*t + g + x*t**2 + h*t**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 9) to base 2\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-40)*i*i)\/(i*i**(-2\/63)\/i*i*i) assuming i is positive.\nAnswer: i**(-2392\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o = -o - 513. Calculate the remainder when 213 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 130, 191?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 - 11*p**2 - 6*p - 1. Let n be b(-5). What is the nearest to -0.14 in 1\/4, -1, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131 and 5209084?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59? (a) -2 (b) 0.01 (c) -5 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 - 1 - -3*12\/(-9) and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 400864717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-496)\/(-62))\/((-2)\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - sqrt(143)*-1*-4 - sqrt(143))*-2)\/(1*(sqrt(99) + 2*sqrt(99))).\nAnswer: 8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-29 - (-5 + -5 + 1))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 6*h**2 - h. Let f be w(-4). Let i = f - -238. Let c = i + -58. 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 v(x) = -x**3 - 3*x**2 + 2*x. Let o(h) = -h**3 - h**2 + h + 1. Suppose 19*b - 4*t + 2 = 17*b, -3*b + 2*t = 3. Calculate b*v(u) + 3*o(u).\nAnswer: -2*u**3 + u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9352\/9 + 1038. Find the common denominator of -52\/9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4 + 6 - 3 + 8 - 14*n**3 wrt n.\nAnswer: -42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 + 21 = 5*z + 4*c, 3*z - 139 = c. Let p(k) = -k - 7. Let w be p(-6). Let x be (-4)\/(-4) + w + 5. Calculate the highest common divisor of x and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533090.5 hours in microseconds?\nAnswer: 1919125800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 6*i**2 - 7*i + 70. Calculate v(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*x = -3*f + 23, 4*f - 25 = -5*x. Suppose m - 2*u - 16 = -2*m, -5*m + 10 = f*u. Solve -m*j - 3 = -5*i + 3, 0 = i + 3*j - 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 66*a - 1. Let x be y(1). Suppose 0 = -5*b - 37 - 188. Let l = b + x. What is the remainder when l is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-435)\/261)\/(230\/(-12)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 - 27. Suppose -v = -26*q + 20*q. Suppose y = -q*y + 2552. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -88 (b) -2\/15 (c) 0.4 (d) 3 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 + 107. Let z be -2 - -190 - (-8 + t). Calculate the common denominator of (-30)\/(-40) - (-2 - z\/(-48)) and 5\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/4)\/(-6)*7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3 + 0 - 2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6697, 13394, 20105, 26836, 33593, 40382, 47209, 54080?\nAnswer: 61001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + w + 2493 = 6*s, 5*w + 3771 = 3*s. What is the greatest common divisor of 184 and s?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6559*v. Let z(c) = -35162778*c. Give 32165*n(s) + 6*z(s).\nAnswer: -6433*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 4*k + 0*k)*((1 - 1 - 1)*(-3 - 2 + 4) + 0 + 9 - 2)*(8 - 1 - 3).\nAnswer: -64*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16421356571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*d + 2*d. Let j(f) = 2*f**3 - 2*f**2 + 4*f - 2. What is the common denominator of 7\/d*(8 + -1) and j(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2055.09 + 2077. Round x to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 5*s. Suppose 4*m = -s*m - 8. Let i be 6\/(-1)*13\/m. Calculate the highest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -386 divided by 2?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/18888 and -1\/33054.\nAnswer: 132216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j = 17*j + 42. Which is the second smallest value? (a) 7\/8 (b) 0.2 (c) 2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v - 36. Let s be l(-7). Suppose s*x = 4*x + 32. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1717 and -0.1.\nAnswer: -1717.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v - 8. Let h be o(-3). Let t(m) = m**3 - 5*m**2 + 5*m - 2. Let f be t(h). Suppose c - 4*c - 188 = -f*l, l = -c + 104. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwccww. What is prob of sequence ccw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/5 + 292*l**2 + 29734*l\/5 - 31196\/5.\nAnswer: 2*(l - 1)*(l + 22)*(l + 709)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 608 + -610. Let n(i) = 41*i**2 - 2. Calculate the smallest common multiple of n(l) and 8.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7849\/54 - -145. Find the common denominator of n and 83\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1\/3 (b) -0.5 (c) -3 (d) 1 (e) -506089 (f) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tee when three letters picked without replacement from eztzetcwgztg.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1832, -13?\nAnswer: -1832","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1862, -1861, -1860, -1859?\n\"Answer: p - 1863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23214 and 377466.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + 14\/35 + (-12)\/30. Suppose 6 = 8*m - 6*m. Let d = m + 6. What is the highest common divisor of d and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*c - 66 = -c, -c = 4. Let b be (-10)\/m*3\/(-2) - -1. Factor -b*a**2 + 8\/7*a**3 + 0*a + 0.\nAnswer: 4*a**2*(2*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/10315 and 21\/4519.\nAnswer: 46613485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 120?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 9*x + x - 1)*(x + 2*x**2 - x).\nAnswer: 10*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54997997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llyl when four letters picked without replacement from {q: 1, l: 7, y: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1507 or -1506?\nAnswer: -1506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 839.6 and 0.2?\nAnswer: 167.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(14))\/sqrt(2) + -4 + sqrt(847))**2.\nAnswer: -56*sqrt(7) + 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2714 and 1?\nAnswer: 2713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2. Let g(x) be the first derivative of -5*x**3\/3 + 18*x + 7. Let y(u) be the first derivative of g(u). Determine y(j(z)).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 6) to base 13.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5*i = 460 - 450, 10*m - 2*i + 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2304742*d - 2304631*d - 8769 = 0 for d.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from {y: 8, v: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 146 - -32?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3379 = -36*a + 177*a - 58*a - 52*a for a.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 0*k**3 + 2\/7*k**2 - 2\/7*k**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1590 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 3*o - 4*y - 59, -4*y + 91 = -3*o. Let t be (-8692)\/70 + (-15)\/o. Let i = t - -124. Which is greater: i or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 12) to base 6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/20 + (-805)\/(-140). Solve 3 = 5*n + v - 4, -n + 4*v = t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/(-9)*25\/(-12)*(-82)\/615*12?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -231*o**3 + 3*o**2 + 8. Let m be y(-3). Suppose 534*h - 542*h = -m. Is 28 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 8*z**2 + 7*z + 3. What is the tens digit of d(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, f: 1, n: 1, s: 7}. Give prob of sequence sfg.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.623995 micrometers in kilometers?\nAnswer: 0.000000002623995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4\/9 - 15190*b**3\/9 + 242494*b**2\/9 + 257686*b\/9 = 0.\nAnswer: -1, 0, 17, 7579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -138036, -276044, -414052?\n\"Answer: -138008*r - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 11*r**2 + r + 0*r.\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2. Let v(r) = -20*r - 4. Let i(n) = 22*n + 5. Let t(u) = -4*i(u) - 5*v(u). Calculate t(o(w)).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 10*j**2 + j. What are the prime factors of f(-8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 4*r = -10*u + 102, u = 2*r - 35. Suppose -2*a = 2*a - 16, 4*a + 42 = -v. Let t = u - v. Solve 12*k = t*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 0.04, 12, 1, 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 34 + 32 - w**3 + 5*w - 3*w**2 - w**2. What is the units digit of v(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 9*b - 13. Let y(u) = 2*u + 19. Let t be y(-8). Suppose 2*s + 33 = t*v, 0 = 2*v - 3*v - 2*s + 19. Is 13 a factor of g(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 16 + 1 + 188*u + 104*u**2 - 102*u**2. What are the prime factors of v(0)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26155183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h + 5*h + 6*h - 19*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 19. Is s != 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0666289 years to months.\nAnswer: 0.7995468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (22\/(-88))\/(15\/(-36)). Factor 3\/5*i**3 + 3\/5 - 3\/5*i**2 - y*i.\nAnswer: 3*(i - 1)**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 8*b**2 - 9*b - 6. Let z be u(9). Let a(j) be the second derivative of j**3\/6 + 3*j**2 + 233*j. Let l be a(z). Solve q + 2*q = l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3100706813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 11*g**4 + 12 + g**3 - g**3 + g**4 + (0 + 0 + 2*g)*(-g**3 - 2*g**2 + 2*g**2) - 3*g**2 + 3*g**2 - g**4.\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**3 - 3*u**2 - 3*u + 1. Let s(n) = 3*n**3 - 2*n**2 - 2*n. Let f be 3 + 8\/(-6)*(-6)\/(-4). Suppose 5*r = -9 - f. Give r*q(t) + 3*s(t).\nAnswer: t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y - 33. Let i be z(-6). Let l = 274 + -186. Let t = l - 43. What is the greatest common divisor of i and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2162.9999999345 - 2163. What is f rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j*l**3*t**2 + 3*j*l**3*t - j + 2*l**3*t**3 - 24*l**2*t**3 - 3*l**2*t**2 wrt l?\nAnswer: -12*j*t**2 + 18*j*t + 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((2*sqrt(91))\/sqrt(7) + -2) + ((sqrt(117) - sqrt(13)) + -3 - -3*sqrt(52)\/sqrt(4)) + -4)**2 + -3.\nAnswer: 2*sqrt(13) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + w + 1. Let b(i) = 11*i**2 + 11. Let d(q) = b(q) - 11*t(q). Find the second derivative of d(o) wrt o.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 6158.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -15*y**3 - 75*y**2 - 141*y - 81. Let s(c) = -3*c**3 - 15*c**2 - 28*c - 16. Let r(q) = -21*s(q) + 4*u(q). Let r(f) = 0. What is f?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*p + 2*b + 2 = 230*p, -2*b = -3*p. Solve -p*o - 5*o = 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (3 + -9 - 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 y when four letters picked without replacement from ccyccycycccyy?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -1\/270*n**5 + 1\/540*n**6 - 333*n**2 + 1\/27*n**3 - 1\/108*n**4 + 0 + 0*n. Factor j(m).\nAnswer: 2*(m - 1)**2*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -20*g**3 + 14*g - 4. Let d(h) = -20*h**3 + 14*h - 3. Let k(c) = -4*d(c) + 3*t(c). What is the second derivative of k(a) wrt a?\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 3604143*n + 10812402.\nAnswer: 3*(n - 1201378)*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -69. Which is greater: 0.012 or h?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5 = -1. Solve 14 = -h*a - 4*w + 2, -5*w = -4*a + 28 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**5 - 5840*s**4 + 279276*s**3 - 3849520*s**2 + 16367600*s = 0?\nAnswer: 0, 10, 29, 1411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30422 = 232*x + 170*x + 11*x - 42*x for x.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 275*f**3*l + 8058*f**3 + 3*f**2*l + 6*f*l - 81*l + 33 wrt f.\nAnswer: 1650*f*l + 48348*f + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, 76, 392, 1012, 2038?\nAnswer: 3572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 13) to base 16.\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfftf. Give prob of sequence tf.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j = 0. Calculate the remainder when 2*-2*(-4)\/8 is divided by 0 - (1 + -3 - j).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114524*d**2*l**3 + d**2*w + 78*d*l**3*w - 2957436*d*l**2 + 1 wrt l?\nAnswer: -687144*d**2 + 468*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7648007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/(441\/(-14) + 3 + 24)*3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k**2 - 46*k + 676. Let z(f) = -f**2 - f. Let c(s) = -m(s) - 6*z(s). Factor c(p).\nAnswer: -(p - 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26\/(-286)*67\/(-2)*4\/(-52). Is 0 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 + 42\/7 + 63655 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -5\/3*k**2 + 7 + 4\/3*k + 2\/3*k**3. Factor z(w).\nAnswer: 2*(w - 1)*(3*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -219*w + 147*w + 1527984. Is 27 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 2. Let t be z(5). Suppose -3*b = -3*r - r + 26, b + 22 = t*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(1250))\/(((sqrt(10) - (sqrt(10) + (sqrt(10) - 4*sqrt(20)\/sqrt(2)))) + sqrt(10))*2).\nAnswer: -25*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1040, -2215, -3392, -4571, -5752, -6935?\nAnswer: -8120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2989 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14c7a + 3?\nAnswer: -14c77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 + 21*p - 19. Let b(n) = -n**2 - 5*n + 4. Let l(k) = k**2 + 4*k - 3. Let z(j) = -6*b(j) - 5*l(j). Let h(m) = 2*u(m) - 5*z(m). Determine h(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3792\/24332)\/(((-8)\/22)\/(-2))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvov when four letters picked without replacement from {d: 1, o: 1, v: 7}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j + 3*j + 18*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 0.6, -2\/3 in descending order.\nAnswer: 0.6, -2\/3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613839?\nAnswer: 3, 204613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 465003 - -16765.\nAnswer: 481768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418639 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.178341 nanometers in kilometers?\nAnswer: 0.000000000008178341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21 (b) -210\/17 (c) -0.057 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-2)*(-6)\/(-21)*56\/24?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*i**4 + 9*i**2 + 6 + 0 - 58*i**4 - 3*i**3 + 15*i.\nAnswer: -3*(i - 2)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*sqrt(3267) - sqrt(3267)) + 1 + sqrt(3267) + 0 + sqrt(3267).\nAnswer: 1 + 264*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34278843 a multiple of 1713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 124*b + 1258. Let x be h(-11). Let p = 0 - -37. Let u = x + p. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*j - 15 = 0, 2*t - 8*j + 4*j + 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6241.435 to the nearest integer.\nAnswer: -6241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11088 and 288?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*1*(-56)\/(-588)*11\/(2035\/15).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 2*x**3\/3 - x**2\/2 + 4*x. Let v be (-2)\/(6\/(-9)) + 9. Let q be v - 7 - (-2)\/(-1). Determine g(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15641559 is divided by 1564?\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 + 2 = 0. Suppose 4*s = 7*s - a. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25332713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 4*o + 2*l, -83 = -3*o + 224*l - 225*l. What is the highest common divisor of o and 702?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 less than 507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 7*u**2 - u + 7. Let w be h(7). Suppose -x + 5*x + 920 = w. Round x to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120812 is divided by 24161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16, 48, 80, 112, 144?\n\"Answer: 32*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 6*b - 14. Which is smaller: 7\/10 or b?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 0*f**2 - 1\/120*f**6 + 7\/80*f**5 + 5\/24*f**3 - 7 + f - 11\/48*f**4. Factor z(l).\nAnswer: -l*(l - 5)*(l - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*u + 17 - 17)*(-6 + 4 + 3) - 4*u + u + 2*u.\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 - 6*w + 2. Let u(y) = 4*y**2 - 6*y + 2. Suppose -3*a = 21, -v = -4*a + 286 - 321. What is v*o(l) - 6*u(l)?\nAnswer: -3*l**2 - 6*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 2:02 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14297*k**3*x + k**3 + 813*k*x + 3*x wrt k?\nAnswer: -85782*k*x + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4430 and (18*1\/(-99))\/(2\/(-88))?\nAnswer: 17720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as 172\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + 0 + (-2 - -3). Suppose i = 2*b + b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/34375 and 21\/193750.\nAnswer: 2131250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1056 and -109\/22880?\nAnswer: 68640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 15991.22815721.\nAnswer: 15990.22815721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) 1\/14 (c) 5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -1530064 = 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**3 - 4*h**2 - 2*h - 2. Let r(d) = -4*d**3 + 3*d**2 + d + 2. Give 4*m(l) + 5*r(l).\nAnswer: -4*l**3 - l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 3)*(0*l - 3*l + l) - 13*l - 10*l + l + (-3 + 5 - 1)*(-2 + 2 - 2*l) in the form m*l + i and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 9:44 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9711 and 36603.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*i + 276, -2*d + 2*i - 49 - 81 = 0. Let r = d + 56. Let n = 2 + -1. Put 5, r, n in decreasing order.\nAnswer: 5, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6612 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -62.5721269161.\nAnswer: -66.5721269161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1427 + -35449?\nAnswer: -34022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58641.66 centuries to months.\nAnswer: 70369992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**0\/s))\/s)**(-2)\/(s**(2\/3)\/(s**1\/s))*(((s\/(s**1\/s))\/s)**(-1\/7))**49 assuming s is positive.\nAnswer: s**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -357115.66 and 0.1.\nAnswer: -35711.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6437 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -5*n + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1158 or -860?\nAnswer: 1158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nstn when four letters picked without replacement from {s: 4, t: 1, n: 2, w: 2, y: 3}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/538290 and 20\/161487.\nAnswer: 1614870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.4? (a) -1 (b) -0.2 (c) 0.0758\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**2 - g + 2. Let o = -1 - -3. Let l be d(o). Let j be -1575000*(l\/(-6) + 0). What is j rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d + 105. Let j(l) = l + 33. What is the remainder when s(-7) is divided by j(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 16.3. Let u = p + 0.7. Let y = u + 0.1. Is 0.06 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -135, 5, 187 in increasing order.\nAnswer: -135, -4, 0, 5, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i. Suppose g - 4*c - 489 = i, 0*g - 1975 = -4*g - 3*c. Let u = g + -275. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -3*l**4\/8 - 49*l**3 - 1725*l**2 + 7500*l + 10981. Factor m(q).\nAnswer: -3*(q - 2)*(q + 50)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2. Let j(a) be the second derivative of 0*a**2 + 0*a**3 - 9*a + 11\/12*a**4 + 0. What is j(h(o))?\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l - 7*l + 80. Suppose 0 = 2*w - w - 2. Sort l, 1, -22, w in decreasing order.\nAnswer: l, w, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4715)\/66010*658\/3?\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 - -93. Suppose p = -p + 18. Suppose 5*i - y = 2*x, 2*i - p = -i. Solve x*j = -2*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 156 - 88. Let d = r - 63. Solve -v - 19 = 3*u, 0 = -u - 5*v - 20 - d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560 + -526 + -51 + 3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12406 or 12400?\nAnswer: 12400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**2 + 25. Let o = -22 - 3. Let k(j) = -j**2 + 4. Let m(u) = o*k(u) + 4*b(u). Factor m(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/1312 and 103\/984?\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 2\/7*p**4 - 1 - 2\/7*p**3 - 1\/7*p**2 + 0*p. Suppose z(i) = 0. What is i?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 86*n**2 + 2*n + 1. Calculate the lowest common multiple of 6 and i(-1).\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gygyooyo. What is prob of picking 2 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*(2 + sqrt(7))*4.\nAnswer: 16 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/14 - 96\/(-2464).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 169602\/24 + 81\/36 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1660 and -4.766?\nAnswer: -7911.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -94*a - 6754. What is o(-72)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 6*h + 7*h - 12*h + 2*h - 7*h + 3*h + (-5 + 2 + 4)*(-2*h - 2 + 2).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 264, 379, 488, 597, 712, 839?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**3 - 17*n**2 + 19*n + 190. Is x(-25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 9*n = 36 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 2*c**2 + 11)*(66*c - 161*c - 34*c) + 0*c + 4*c**3 + 0*c.\nAnswer: 262*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*o + 792 = 191*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -24.7 * -99690\nAnswer: 2462343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 23 = -17. Suppose -3*z + 14700000 = -j*z. Round z to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 3*j**2 - 5*j + 5. Suppose -12 = 4*a, 4*u + 3 = -a + 16. Determine h(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (66 + -36 + -68).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 274 (base 8) to base 5\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*q**2 + 40*q**2 + 2*q**4 - 14*q**2 + 2*q**3 in the form d*q**3 + u + a*q + s*q**2 + o*q**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 442*a**2 - 43*a - 2*a - 2 + 44*a + 1 - 2916*a**5 wrt a?\nAnswer: -174960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 46147160?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (52\/16)\/((-2)\/(-8)). Suppose -17*t = -k*t - 160. Suppose -7*s + 11*s = t. Solve m + s = 6*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, u: 1, p: 1, c: 1, v: 1}. What is prob of sequence nvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3308.\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -508 - -518. Suppose -3*s - 40 = -q, q = -5*s - 0*s + 8. Suppose -4*x - 70 = -5*r, 3*r = -x + 14 + q. What is the smallest common multiple of r and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -1983978.\nAnswer: -3967956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -318, -476, -634?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b + 1f?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 2*k**5\/15 - 7*k**3\/6 + 11*k**2\/2 - 11*k. Let i(h) be the first derivative of s(h). Differentiate i(j) wrt j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.0651 + 25.9433. Let h = g + -48. What is h rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 41, -3, 1, 5.\nAnswer: -3, 1, 4, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1456347 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-25)*x**6)**(-31\/2))**(6\/17) assuming x is positive.\nAnswer: x**(1767\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62714090 * 0.1.\nAnswer: -6271409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -708*((-4000)\/(-6))\/4. Round q to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h + 8*h + h**2 + 9 - 4*h. Let o be 2\/(-12) - (-1)\/6. Let a be g(o). Are 9 and a non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5) + -3)**2 + (sqrt(5) - ((sqrt(80)*-1)**2 - sqrt(5))).\nAnswer: -51 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3. Let r = o + 3. What is the remainder when r is divided by 4*1*(-3)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 5 + -14 + 14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zps when three letters picked without replacement from {f: 1, p: 2, v: 1, s: 1, n: 1, z: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2418, -2410, -2402, -2394, -2386?\n\"Answer: 8*k - 2426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/77 and 97\/277074.\nAnswer: 3047814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 16 - 26*k - 14*k**2 + 1 - 8 to the form s*k + j*k**2 + m and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - 543232?\nAnswer: -543303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62.02 + -0.02. Let i = -57 + x. Put 2, -2, i in increasing order.\nAnswer: -2, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18292 + -18238. What is the remainder when j is divided by 1\/(2 - 124\/64)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + y**2 - 9*y - 7. Determine c(5).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*n + 3539*n - 1794*n + 3753*n.\nAnswer: 5753*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 2:21 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 16 = 3*h - 3*y, 7*y = -4*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -895 = 6*w - 139. Let c be (-4)\/18 - 658\/w. Suppose n = -c*p - 3*n + 37, -p - n = -7. Calculate the remainder when 16 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3 + 9. Solve -3*c - 22 = -5*x, -3*x - l + 14 = -3*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215031212 (base 6) in base 14?\nAnswer: -72caa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + f - 4*f + 9*f.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-82)\/((-72)\/192 + 265\/728)?\nAnswer: 2, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-183636)\/432)\/(2\/(-8)). Let o = 1703 - q. Suppose 28*a**2 - o*a**3 + 16\/3 + 80\/3*a - 28\/3*a**4 = 0. Calculate a.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4101202000 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 6:38 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, e: 2, s: 2, y: 2}. What is prob of sequence sks?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 - -83 - (-8 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6*26\/234*3\/13\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 895 + -919. What is the closest to 1 in 0.05, 1.3, h?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 + 5*t + 2. Let v(c) = -5*c**2 + 10*c + 5. Let l(i) = 5*f(i) - 2*v(i). Factor l(m).\nAnswer: -5*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 22*k - 2*k - 34 = 9*q + 74 - 40, -k + 1 = 0 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(8) + -6*sqrt(128) + sqrt(8))\/((sqrt(32)*1)\/sqrt(8)) - (-4 + -5 + sqrt(200) + 1))*-2)**2.\nAnswer: -2048*sqrt(2) + 8448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3283418 is divided by 91?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 + 61 - 4*w - 6*w + 252)*(4 + 3 + 4).\nAnswer: -110*w + 2772","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/((j\/j**(-21))\/j)*j)\/j*j*j*j*(j**(-1\/29)*j)\/j)**(-1\/46))**(22\/3))**(-29) assuming j is positive.\nAnswer: j**(-1705\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.08 and 138.4784.\nAnswer: 138.5584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 20*n**2 - 89*n - 54. What is m(14)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171847 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 62*v**2 + 53*v - 1. Let g(m) = -1097*m**2. What is b(g(p))?\nAnswer: 74611358*p**4 - 58141*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 218.\nAnswer: 217.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*l = -1. Let x(n) = n - 4. Let i be x(6). Sort 5, l, i in ascending order.\nAnswer: l, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.844854 or 87?\nAnswer: 0.844854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b = -20*b. Suppose 3*c + b = 12. What is the biggest value in 0.1, -0.02, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-1))\/((-3992)\/(-998)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -52 - -4) + -1. Let n = -51 + d. Let h = 203 - 201. Which is the closest to -0.1? (a) n (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -94 = -526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 + -0.07. Let h = 0.05 - r. Let d = -0.6 + h. What is the closest to 2\/7 in 1, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 153246184?\nAnswer: 1685708024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + (-17 + 0 - (-239 - -221))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 16904.\nAnswer: -1\/16904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -170*l**3 - 7 - 27 - 14*l**2 - 14 + 24*l**2 + 44 to c + r*l**3 + g*l**2 + j*l and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 2*s**2 + 3*s + 2. Let m be v(0). Let d be 5 - 4 - 1 - (-1003 + m). Let q be -3*d\/(-749) - 2*2. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssvvs. Give prob of picking 2 v and 2 s.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.25 + -26.75. Let v = -128528391 + 128528364.0000011. Let r = v - t. What is r rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/10, 4, 5, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 29*h + 11. Let t(f) = -f - 5. Let i(u) = q(u) + 2*t(u). Let j be i(0). Let b(c) = 3*c**2 + 3*c. Calculate b(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53.7 - -53. Sort -0.1, -1\/2, k in decreasing order.\nAnswer: -0.1, -1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 0 - -22) + 12.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -20, -50, -102, -182, -296, -450, -650?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 9:49 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144832596.\nAnswer: 2, 3, 79, 152777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2. Let a(h) = -200 + 8*h**2 - 3*h**2 + 200. Give m(a(y)).\nAnswer: 50*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/23)\/t**(-1) assuming t is positive.\nAnswer: t**(22\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -759830.2474497?\nAnswer: 759825.2474497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -110 + 130. Solve 4*c + 4 = -4*g - 0, l*c = 2*g + 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -102625, -410505, -923643, -1642045, -2565717?\n\"Answer: -v**3 - 102623*v**2 - 4*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (14 + (9 - 5) + -10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - -4*sqrt(133))*-1)\/sqrt(7).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1*11\/((-231)\/(-14))*77\/(-14)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -65. Let d = -32 - m. What is the smallest value in -0.1, d, 5\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, -306 in descending order.\nAnswer: 11, -5, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -992, -904, -816, -728, -640?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.5. Let f = -0.496 - -0.096. Which is the nearest to -0.2? (a) 7\/6 (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = g - 5*g + 5*n, 4*g - 9 = n. Suppose -2*m + g = m. Let c be (0 + -1 - m) + 2. Solve -4 = -c*i - 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -187*c**2. Let t(q) = -6329*q**2. Determine p(t(o)).\nAnswer: -7490517067*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11874053159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3831*q - 22981. Determine p(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -345 or -335?\nAnswer: -335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)*b**(19\/3))\/(b\/((b\/(b*b\/(b*b**16*b)*b))\/b*b)*b**7) assuming b is positive.\nAnswer: b**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -649, -829, -1009, -1189?\nAnswer: -1369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, t: 3, p: 11}. What is prob of picking 2 t?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4*c - 10 = 0, 4316 = -n - 4*c + 4318 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/5 + 1521*b**2\/5 + 33462*b\/5 + 31944\/5.\nAnswer: 3*(b + 1)*(b + 22)*(b + 484)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - l - 1. Let h(b) = -3*b**2 + 5*b + 5. Let n = 12 + -23. Let i(p) = -2*p + 2. Let x be i(-2). Let v = x + n. Determine v*s(u) - h(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 - (-189)\/(27 - 48). Factor 1\/3*j + 2 - 1\/3*j**x.\nAnswer: -(j - 3)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6505 or -6562?\nAnswer: -6505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30242 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, o: 2}. Give prob of sequence qqoq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17022013.\nAnswer: 353, 48221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -86*y**3 + 2*y**2 - 2*y. Calculate h(1).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 4, -5 in ascending order.\nAnswer: -5, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 13*s**2 - 11*s + 5. Is 6 a factor of n(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -2) + 2\/4. Let d = -4.8 - -3.32. Let w = d + 1.18. Sort w, 3, v in decreasing order.\nAnswer: 3, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 (base 6) in base 10?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74789 is divided by 17944.\nAnswer: 3013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 50 + 0 + -17.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2 - 0)\/(6\/(-12)). Which is the second smallest value? (a) z (b) -5\/3 (c) 2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*m**2\/9 + 80*m\/9 + 46\/3.\nAnswer: -2*(m + 1)*(29*m - 69)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 0*d + 2*d - 16, 2*o - 16 = -d. What is the highest common factor of o and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, m: 5, e: 3}. Give prob of sequence memv.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 greater than 562265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 2. Let x be (0 - (-8)\/(-6))*3. Does 13 divide b(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d**(-4\/5)*d))))\/(d\/d**4)*(d\/((d*d*d**2)\/d))**(44\/3) assuming d is positive.\nAnswer: d**(-383\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d5 (base 14) to base 9.\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -62\/3. Let y = -11 - -15. Let d = y + -3. Which is the closest to 0? (a) d (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 558 and 108?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.5 - 23. Let w = 0.05 - -0.05. Let k = 1 + -2. Which is the third biggest value? (a) k (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -266*a + 2574. Calculate k(10).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/3 + -1\/3. Let v = -2 + 3. Let a = 2 - 1. What is the closest to a in v, -3, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 + 3.93. Let m = 11 + -11. Which is the nearest to -0.1? (a) u (b) -2\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -25 (c) -0.3 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**3 + 4*w - 7. Let u be i(2). Let c = -21 - u. Sort 5, 43, c.\nAnswer: c, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 24, 30, 24, 0, -48, -126, -240?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from qftxxxxsfxftxftfxs?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p - 6*p + 20*p.\nAnswer: 34*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 658c - -17?\nAnswer: 65a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/5 - 286*y**3\/5 - 1321*y**2\/5 + 23604*y\/5 = 0 for y.\nAnswer: -281, -12, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/6*1128\/(-14476)*55.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/36)\/(6\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/4)\/((-24)\/(-32)). Suppose 3*s - 91 - 1067 = 3*t, 4*t + 1553 = -5*s. Let y = -8129\/21 - t. Is y bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1.3, 0, 1.2 in ascending order.\nAnswer: 0, 0.2, 1.2, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3))\/1 - (-1274)\/3234. Is j equal to 111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 21*v**2 + 11*v + 12. Let h(y) = -y**2 - y - 1. Determine -22*h(x) - 2*p(x).\nAnswer: -2*x**3 - 20*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from yyyyaaayyyy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6655) - -3*(sqrt(6655)*-1 + sqrt(6655) + sqrt(6655)))*-6)\/(5*-1*sqrt(135)\/sqrt(3)).\nAnswer: 88*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -z**2 - 8*z**2 + 19*z**2 + 9 wrt z.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2366269.99983 + 2366284. Let l = -754 - -768. Let n = y - l. What is n rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1303322 (base 4) in base 7?\nAnswer: -30425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**2 - 150*w + 84. Let c(n) = -5*n**2 + 147*n - 82. Let d(s) = 6*a(s) + 7*c(s). Find the first derivative of d(l) wrt l.\nAnswer: 2*l + 129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*3*-5)**2.\nAnswer: 127575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-202)\/(-18) + (24341\/(-2169) - -12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccfffccyccffcy. What is prob of sequence cc?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(-1)*j))\/j)**(-12\/7)*(j**0)**(-18\/5))**(1\/22) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*k - 8. Calculate the lowest common multiple of k and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -268625 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 149006? (a) 3 (b) 0 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12*-9)\/((-48)\/112)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1877 and 0.349.\nAnswer: 655.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -3 - -2) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -24*v**4\/7 - 291*v**3 - 46047*v**2\/7 - 17097*v - 75645\/7 = 0.\nAnswer: -41, -15\/8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -20.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -201 + 218. Let a be 29\/9 + 4\/(-18). Suppose -5*n = 2*g - z, a*g - 2*n = -4*n + 9. Solve 2 + g = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39468?\nAnswer: 2, 3, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-15)*40\/(-176).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3034755, -3035210, -3035665, -3036120, -3036575, -3037030?\n\"Answer: -455*r - 3034300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9802 - -9802.03949. Round b to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/60 + 7*d**5\/60 - 7*d**3\/6 + 261*d**2. What is c(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*r - 2. Suppose -4 = b - r*b. Suppose 11*w - 6*w = 2*h - 14, -h + 7 = -2*w. Solve -d = -3*n + 1, h*d = 5*n + b*d - 15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-12 + -1 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 3*n**7\/14 + 13*n**4\/12 - 9*n. Find the third derivative of w(m) wrt m.\nAnswer: 540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -16233.\nAnswer: -16238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvussuvuuvussvvssuu. What is prob of picking 3 s and 1 u?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l - 14 = -3*o, 5*o + 3*l = 27. Let f(w) = -w**3 + 5*w**2 + 9*w - 21. Let j be f(o). Sort 1, 0.3, j, -2\/3 in ascending order.\nAnswer: j, -2\/3, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*s - 14*s - 24*s)*(-10*s - 20*s + 15*s) + 0*s**2 + 0*s**2 + 2*s**2 to g + c*s**2 + n*s and give c.\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 21*r + 9944 = 17*r, -3*h - 4*r = -7430. What are the prime factors of h?\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 3:59 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 - 1.17. Let o = 69.93 + -69. Let z = o - c. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g + 24 = 13*g + 3*x, 2*x + 9 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*k**3 + 55*k**2 + 2705*k + 3900.\nAnswer: -5*(k - 20)*(k + 13)*(2*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 3 + 6 = 2*t, -2*t - 2*s = -6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4274009?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 6:17 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.4376421129 take away -18?\nAnswer: 42.4376421129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 43640.57 and 29058005?\nAnswer: 29014364.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3) - (-8)\/(-12). Suppose 4*z - 38 = -n, -z + 4*n - 5*n + 8 = p. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572 = -284*f + 310*f for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 1. Let r(s) = -3*s + 2. Let d(m) = 4*h(m) + 2*r(m). Let f(o) be the first derivative of 2*o**2 + 40. What is d(f(p))?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, y: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + r + 18. Calculate the remainder when a(0) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 570 - 124. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/3735, 1, 2\/61?\nAnswer: 8\/3735","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/2)\/5*-12. Let j(s) = -s**2 + 2. Let k be j(-2). Sort i, -1, k in ascending order.\nAnswer: k, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 6*x**2 - 6*x - 2. Let w be c(4). Let y be (w\/6315)\/(1 - 4\/5). Is y <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = c - 3*c - 32, 2*n - 7 = -3*c. Solve 0 = -b - 4*z - n, -5*z = -10*b + 14*b + 22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 + -35.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (6 - 6) - 0 - -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-1\/2)\/w)\/w)**(-38))**(-4\/37))**(-2\/41) assuming w is positive.\nAnswer: w**(760\/1517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1043*m - 20531 = 508*m - 43587 - 118085 for m.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-195))\/(288\/(-2685)). Let w = 1\/96 - n. Let u = -0.6 - -0.1. Sort -2, u, w in ascending order.\nAnswer: -2, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 73. Let x = p - -11.25. Round x to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**5\/g*g*g*g**(-4\/15)*g*g assuming g is positive.\nAnswer: g**(116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -76*v - 14. Let g(w) = -37*w - 57. Let n(x) = 145*x + 215. Let m(u) = -15*g(u) - 4*n(u). What is -14*m(a) + 5*y(a)?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 223387829, 446775656, 670163483, 893551310, 1116939137?\n\"Answer: 223387827*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 10. Let z = 7.8 - q. Let s = z + 2.202. Round s to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27051797 rounded to the nearest one hundred thousand?\nAnswer: 27100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 29*y - 2. Let o be p(3). Suppose -c - 4*c = -o. Suppose -2*q = -0 - 10. Calculate the remainder when c is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**4\/21 - 244*r**3\/21 + 750*r**2\/7 + 142*r. Let n(b) = 0. Calculate b.\nAnswer: -125, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teeeteet. Give prob of sequence teee.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 403695?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 250728377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 3. Let z be n(5). Suppose -3*u - 1 = -2*v, -2*u + 29 = 3*v - u. Let w = v - z. Solve -18 = 4*j - 5*r, 0 = -j - 3*j + 4*r - w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 623 and 557941?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57217931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 1 = -2*v, -4*v = 2*q + 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -6*d + 4. Suppose -18 = f - 4*f. Let h be (-2)\/(-12) + d\/f. Which is the biggest value? (a) h (b) 1\/8 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 70\/22 + 4\/(-22). Let h(v) = -3*v**n + 0*v + 1 - 3*v + 0*v**3. Let i(g) = 13*g**3 + 13*g - 4. Determine -9*h(y) - 2*i(y).\nAnswer: y**3 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 42*y - 13. Give k(-3).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 167*w + 8504. Determine i(-88).\nAnswer: 1552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 + 9*b + 7. Let x(o) be the third derivative of 0*o + 2\/3*o**3 + 0 + 0*o**5 + 5\/24*o**4 - 1\/60*o**6 + 20*o**2. What is -4*q(f) + 7*x(f)?\nAnswer: -2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 3.596\nAnswer: 1.0788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -432 divided by 216\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*-1*((sqrt(11) + 3*sqrt(22)\/sqrt(2))**2 - (sqrt(1331)*1)**2).\nAnswer: 6930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -2. Suppose 0 = 2*g - x*g + 8. Suppose 3*o - 51 = -0*o - 2*k, -5*o - g*k = -85. Calculate the remainder when o is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 (base 4) in base 2?\nAnswer: 1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 14 + 25*d**3 + 19*d**2 + 17 + 20*d + 25*d**3 - 51*d**3. Let u be j(20). Solve -u = -5*n - 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t + 4*t - 8*t**3 + 2*t**4 + 2*t**4 - 4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*k - 4*y, -5*y + 8 - 13 = 5*k. Let c be (-1)\/(1 + (-20)\/4 + k). Sort -2\/5, c, 2, 2\/11.\nAnswer: -2\/5, 2\/11, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f - 264 = 19*f + 9*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 65 + -3?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**2 + y + 2. Calculate w(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -84 - -1223?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 9. Let j = -7 + m. Solve -4*o + 5*f - 9 = 0, -j*o + 5*f - 17 = -2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 p when four letters picked without replacement from zzzyzzyzyppyzz.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 8*l. Let p be v(-9). Let z = p + -7. What is the second derivative of -q**2 - 2*q - 3*q**2 + 3*q**z - q**2 wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9391.8 + -9392. Which is the closest to 1? (a) l (b) -0.15 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*n - 38*n + 7300 = 19*n. Solve 77*p - n*p = 4*f, p - 4 = -f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 + 9*w**2 - 6*w**2 + 2*w - 6*w**2 + 1 - 2*w**4 in the form i*w**2 + o + d*w + b*w**3 + k*w**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 25*b**3 + 3*b**2 + 2*b - 2. Let s be l(-2). Let u = s + 789. Let v = -2353\/4 + u. Find the common denominator of 53\/8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60425.22m in millimeters?\nAnswer: 60425220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/13? (a) -142 (b) -9 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddtdxddttt. Give prob of sequence tttd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182404*v + 182372*v - 547169*v + 182343*v.\nAnswer: -50*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0213 minus -19938?\nAnswer: 19937.9787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 8. Suppose -5*r = -2*r. Let m(i) = 4*i + r*i**2 + 2*i**2 - h*i. Let v(g) = g. Give m(v(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60\/13*s**3 - 2\/13*s**5 + 190\/13*s - 44\/13*s**2 + 150\/13 + 22\/13*s**4 = 0. What is s?\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvu when three letters picked without replacement from uuvuvuuuuuuv.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4401*a = 4465*a - 13191*a + 4494*a - 9464 for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60.416 - -0.416. Which is the third biggest value? (a) 0.4 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 26073481*s**2. Let o(b) = -2*b**2. What is m(o(t))?\nAnswer: 104293924*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a kilogram in grams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(288)\/sqrt(32)*-6)\/((6*-3*sqrt(588) - sqrt(588))*6).\nAnswer: 3*sqrt(3)\/133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 271*l + 194*l - 104*l to t*l + r and give t.\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/5 + 92420976*w\/5.\nAnswer: -3*w*(w - 30806992)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 383689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-277 + 13908 + 125 - 243 + 9109)*(-4*b + 4*b - 2*b**3).\nAnswer: -45244*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-2 + (sqrt(300) + 0 - sqrt(300))*6 + sqrt(300))*-2)**2.\nAnswer: -160*sqrt(3) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.5, -3, -0.0454, 1.3, 3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hffh when four letters picked without replacement from {f: 2, h: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6413 divided by -583.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60109 and 8897.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -c. Suppose v - 3*v = -3*i + 44, c*i - 60 = 3*v. Calculate the remainder when 4 + 0 - 60\/(-2) is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r**2 + r**2 - 3*r**2 + (-3*r + 0*r + 0*r)*(6*r - 3*r - 2*r) + 1 - 2*r**2 - 1)*(4*r + 6*r - 4*r) to the form m*r**3 + c + x*r**2 + a*r and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25161 + 25166. Solve x*g - y = 10 - 7, 0 = -2*y - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - -4 - (0 + -1). Suppose 5*v - 7 - 8 = 0. Suppose 0 = 3*c - 9 - v. Sort -4, i, c in ascending order.\nAnswer: -4, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -49.5603 and 0.94 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22119748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**8))\/(m\/(m*m**(-4\/11))))**(-1\/8)*(m**(-3\/2)*m*(m*m**(-6))\/m*m)**25 assuming m is positive.\nAnswer: m**(-1501\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1cde8 + -5?\nAnswer: -1cded","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*v**5 - 4*v**5 + v**5)*(4 + 1 - 3) + (-4 + 4*v**5 + 4)*(1 - 4 + 2).\nAnswer: 18*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -203194 * 0.36\nAnswer: -73149.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bdddddddbd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -12 - 6 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 11 = 4*a, -3*a - 7 = 5*r + 2. Suppose -m = -1 - 0. Let s(d) = -d + 3. Let j be s(5). Put j, r, m in descending order.\nAnswer: m, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 1646.\nAnswer: 6584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1422031 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 8*h + 4. Let g be (-888)\/120 + (-14)\/40*-4. Calculate v(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 w, 1 q, and 1 k when four letters picked without replacement from {l: 2, q: 2, k: 2, w: 1, e: 1, t: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + t + 7. Let m = 14 + -10. Calculate the remainder when r(0) is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -111*v - 234. Let d be u(-32). Suppose 83*y - d = 69*y. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*o - 24 - 57 = 0, -o + 27 = j. Calculate the remainder when 184 is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, l: 6}. What is prob of sequence ll?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/2621, -6, 1\/2?\nAnswer: -2\/2621","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 97*b + 1. Let k(h) = -484*h - 5. Give -2*k(q) - 11*p(q).\nAnswer: -99*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.34 - 0.64. Let u = -0.9 + 4.9. What is the nearest to -0.5 in q, u, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a day in hours?\nAnswer: 972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 463*u**2 - 212 + 196.\nAnswer: -463*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 - 4*k**4 + k**4 + (58239853*k**2 - 58239853*k**2 - 26199*k**3)*(2 - 1 - 2*k + k) as j*k**2 + z + o*k**3 + q*k**4 + a*k and give o.\nAnswer: -26199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -10. Let h = -52.6 - u. Let p = h + 12.6. Put -0.01, -0.2, p, 3\/7 in decreasing order.\nAnswer: p, 3\/7, -0.01, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.35 - -0.85. Which is the closest to 1? (a) d (b) 0.1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4\/(j\/(j\/(j*j**(-3\/2)))))**(-27))**(4\/5) assuming j is positive.\nAnswer: j**(-486\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 8. Let l be (-32277)\/18 + i + 1. Let j = 1777 + l. Find the common denominator of -53\/14 and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*x = 305*x + 81. Which is greater: 5 or x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 114*w - 317. Let j be n(-111). Solve j*c**2 + 8\/3 + 4\/3*c**3 - 16\/3*c**4 - 44\/3*c = 0 for c.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3766 divided by -12.\nAnswer: 1883\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -163 at least as big as -7159\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3111.38 rounded to the nearest ten?\nAnswer: 3110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 4*n + 88 - 20, -n - 3*y = n - 74 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 35, 4, 3, -1\/4, 88884?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1355.571754 to one dp.\nAnswer: -1355.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + g = 3718*k - 3729*k + 209, -g - 2*k + 38 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Let l(f) = -90*f + 9. Let x(j) = l(j) + 2*y(j). Is 4 a factor of x(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -6) + (30 - 37)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0*(-2 - -1))\/1. Let o be 1\/(-2 + t)*4. List the prime factors of (-23)\/(-2) - (-1)\/o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 3086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 3*g + 2. Let a be d(-3). Suppose -2*w - 3*k + 19 = 0, -2*k + 5*k = -5*w + 34. Sort a, -3, w in descending order.\nAnswer: w, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 4*o + 3. Let c be h(2). Let z = c + -10. Suppose 0 = -0*p + p - f + z, -10 = -2*p - 2*f. Solve p*b = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -35\/193 (b) 0.1 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001010111001001000 + 11?\nAnswer: 100001010111001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4660507 (base 8) to base 10.\nAnswer: -1270087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -4, 9 in ascending order.\nAnswer: -4, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -32. Calculate the remainder when 30 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -295, -285, -261, -217, -147, -45, 95, 279?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o + 24*o**2 + 6*o**2 - o to the form h*o + x*o**2 + p and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 22, -2\/11, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 4)*(-6 + 2 + 3) - 5 - 2 + 6 - 3 - 3 + 8)*(-2 - 3 + 2)*(-3*x + 4*x + 5*x).\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 89?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 16*x + 8. Let n(g) = g + 1. Let w be n(-8). What is the units digit of s(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*b + 44*b - 54*b**2 - 24*b as y + p*b**2 + h*b and give p.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3171*l**3*z**2 + 341129*l**3 + 32*l*z**4 wrt z?\nAnswer: -6342*l**3*z + 128*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d\/(d*(d\/d**(-8))\/d))))**(-7\/4) assuming d is positive.\nAnswer: d**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 5 = 2*i - 29, -4*i = y - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*r + 515*r = 2712 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3770 = -42*n + 12988. What is the lowest common multiple of n and 35?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 14. Let k = 0.02683763 - 23.02664763. Let r = c + k. Round r to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*a**3 + 85*a**3 + 46*a**3)*(0 - 4 + 3) + (4 + 1 - 3)*(-a**3 - a**3 + 0*a**3) - 2*a - 2*a**3 + 2*a.\nAnswer: -153*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijiihiilliiiilhihii. Give prob of picking 3 i.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6014 - 33442?\nAnswer: -41456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 22*s + 65. Let j = 170 + -165. List the prime factors of z(j).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w - 6 = 4*n, -4*w - 14 = 2*n. Calculate the smallest common multiple of (3 + 3)*(-5)\/n and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 214862 and 1497674?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61053551 divided by 533?\nAnswer: 114547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 454 + -277. Which is bigger: 711\/4 or b?\nAnswer: 711\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**2 - 17. Let x(f) = -219*f**2. Calculate x(c(v)).\nAnswer: -876*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 116 = -314. Let o(b) = -b**2 + 21*b - 45. Let a be o(n). Which is smaller: a or 12?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 30 + 4*a)*(-4*a**2 + a**2 + 2*a**2).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -160457180 to the nearest 100000.\nAnswer: -160500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-23)\/(-3) + (-4)\/6. Suppose 127 = -17*v + 190 + 226. Let g(y) = -y + 13. Let c be g(11). Solve 0*s - 3*b = -c*s + v, -3*b + n = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 13*d**2 + d**2 - 9*d**2)*(3 - 3 - d) to y*d**3 + b*d**2 + j*d + i and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.3, -3, -105, 0.07?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5284 + 484. Let o = q + -9344. Let l = -3544 - o. What is l rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 13*b**2 + 2*b - 2. Let z be n(13). Suppose 0 = a + 4*a + 25, 0 = 4*k - 4*a - z. Calculate the highest common divisor of 37 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 divided by -6?\nAnswer: -97\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3\/6 + 815*n**2\/3 - 3245*n\/6 + 270.\nAnswer: -5*(n - 324)*(n - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 10 - 34*p + 8.\nAnswer: -34*p + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 9 = k, 4366*m + 9 = -k + 4361*m for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 86? (a) 11.5 (b) -10 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2224537 rounded to the nearest one thousand?\nAnswer: 2225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 104. Calculate j(33).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (5 - (-1 - -1)) + (-12 - 1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 + 0.34. Let i be 36\/21 - (1 + 1). Which is the closest to i? (a) 1 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -51. Suppose -a*g - 5*g = -14. Suppose -h + 105 = g*u, 4*u - 5*u + 53 = h. Does 36 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2\/7, -139, 75.\nAnswer: -139, 2\/7, 6, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 10:16 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*d + 154717 = 0, -d + 303832 = 2*c - 5646. Let h = c - 6500975\/42. Let f = h - -160\/21. Find the common denominator of -57\/20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**4 + 1104*i**3 + 44958*i**2 - 97704*i - 141561 = 0. Calculate i.\nAnswer: -321, -49, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 3:10 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18*13\/1560)\/(-1*2\/8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 2*d - 2*d + (-9*d + 4*d - 7*d)*(5 - 5 - 2) as n + v*d and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 16346388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 310\/3, 0, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1152\/7 - -164. Let t = -5.1 + 0.1. Which is the third biggest value? (a) t (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124281 divided by -124281\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2))**(2\/67)\/(s**4\/(s\/s**(-2\/13))) assuming s is positive.\nAnswer: s**(-2466\/871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*66\/4928)\/((27\/(-126))\/3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27679 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -63981.\nAnswer: 255924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359918 is divided by 71?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 671, 673, 679, 689, 703, 721, 743?\n\"Answer: 2*d**2 - 4*d + 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-6) + (-3 - -6). Let z = 0.2 + 0.8. Let k = -1.1 + z. Which is the nearest to k? (a) m (b) 4\/9 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 881.9792 litres?\nAnswer: 881979.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -16533 + 5837. Suppose i + 839 = 3*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 0*f - 1\/24*f**4 + 2*f**2 + 0 + 13\/60*f**5 + 0*f**3. Let g be i(-1). What is the highest common divisor of 70 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b4 (base 15) to base 5\nAnswer: 3034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w - 20. Sort 4, 9, w in decreasing order.\nAnswer: 9, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 15, -75 + 274 = n + 2*v. Let j = n + -146. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/2*(-37)\/74.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*w**2 + 4*w**2 + 6*w**2)*(-4 - 4 + 5).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-7)\/(r*r\/r**25))**(-1\/10))**(1\/43) assuming r is positive.\nAnswer: r**(-8\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1646726 divided by 16\nAnswer: -823363\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 1\/2*l**2 - l - l**3 - 2. Determine z(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56479640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = 4*s - 8, k + 2*s = 6. Let g = 9 - 19. Let w(t) = -t**2 - 14*t + 2. Let d be w(g). Calculate the greatest common divisor of d and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 315*h**2 + 1512*h - 1200.\nAnswer: 3*(h - 100)*(h - 4)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-640)\/(-1440))\/((-2)\/(3*-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.15 + 0.15. Let r be (-6)\/(-10) + (1 - 2). What is the second biggest value in 3, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7340 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -5 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**5\/7 - 1258*h**4\/7 + 1634*h**3 - 29318*h**2\/7 + 19140*h\/7 = 0.\nAnswer: -638, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8 = 7. Let z = 10 - 14. Let k be 6\/z*(-16)\/6. Is k < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21254 and -558.\nAnswer: -11859732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -4 (c) -0.062 (d) -32 (e) 0.5 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10154, -23280, -36406, -49532, -62658?\nAnswer: -75784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -923684 * 0.2.\nAnswer: -184736.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79509071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-20 + 24246\/1188)*(-8)\/9\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 0, -905\/3, -0.3, -5, -1\/16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(3*(sqrt(2736) - (sqrt(2736) + sqrt(2736) + -1 + sqrt(2736))) + (sqrt(2736) + -1*sqrt(2736) - sqrt(2736))*-2))**2.\nAnswer: -115200*sqrt(19) + 17514000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30474 + -30474. Let o = -1 + 2. Let r = -3.5 + 4. What is the closest to s in r, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1900079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1644 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 + 0*o**3 + 0*o**3 - 14*o**5 + 25*o**5 - 23*o**5 + (6*o - 4*o - 4*o)*(o**4 - 4*o**4 + 4*o**4) + 2*o**5 + 3*o**5 - 4*o**5.\nAnswer: -12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**2 - 3*i**2 + 2*i**2)*(65*i + 202*i - 40*i) + i**3 + 3*i**2 - 3*i**2 in the form p*i**2 + a*i**3 + n*i + f and give a.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 731915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96354311*n**2 + 305817092*n wrt n.\nAnswer: 192708622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*f - 9*f - 7*f + 0*f + 0*f + f + (2 - 1 - 3)*(1 + 2*f - 1) - 421 + 223*f + 309*f + 837 - 416 to n + i*f and give i.\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 4, z: 1, k: 5, e: 1, i: 3}. What is prob of sequence ze?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 3*b - 2. Let n(a) = 2*a**2 - 3*a - 1. Suppose 0 = -3*o + 5*r + 4, -415*o + 411*o - 5*r = -17. Determine o*x(q) - 4*n(q).\nAnswer: -5*q**2 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2890\/136*-4 - 13*(-2)\/(-1 - 1).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + -73. Let b = 125 + r. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((13 - (11 - 8 - -14)) + -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -5. Suppose 0 = -3*g - p, 293*g + 4*p = 289*g. What are the prime factors of 58\/(g\/z + 2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/(-119)*(-8771)\/35 - 1\/(-5). What is the highest common divisor of 5517 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5474333845 less than -0.0009?\nAnswer: -0.5483333845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-14))\/(-3*4\/(-42))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 11:22 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5320023 and -0.2.\nAnswer: 1064004.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*1*(-153)\/12. Let b be 105\/a - (0 - -2). Let k = b - -82\/51. What is the third biggest value in k, -3\/5, -0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o*o*o\/(o\/((o\/o**(1\/4))\/o))*o)*o**(-2\/9) assuming o is positive.\nAnswer: o**(-107\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -843660, -1687320, -2530980?\n\"Answer: -843660*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -165152 (base 7) in base 2?\nAnswer: -1000000011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -2. Suppose -5*y - 5 = 4*r, 0 = -2*y + y - c*r - 7. Suppose 105 = -0*t + y*t. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/g**(5\/2)*g**0*g**7)**(-7\/3) assuming g is positive.\nAnswer: g**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u + 5. Let o(h) = h - 1. Let z be (0 - -1)*(1 + 1). Suppose -2 = 2*c + 5*w + 15, -4*c - z*w = 10. What is c*b(r) - 6*o(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + -6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-286)\/78 + 8\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (2 + 13) - -9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -110513, -883984, -2983365, -7071608, -13811665?\n\"Answer: -110492*o**3 - 3*o**2 - 18*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r - 14. Let x(m) = -m**3 + 6*m**2 - 6*m + 12. Let y be x(5). Calculate the lowest common multiple of p(y) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5 = -1. Are o and 2\/49 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7 = -5*y, -4*y - 1 - 1 = t. Suppose 0 = t*g + 5*q, q = -g - 3*q. Let w(f) = f**3 - f**2 + f - 7. Determine w(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 20713*f - 1525. Is t(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9749.792ml to litres.\nAnswer: 9.749792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 11*d**2 + 10*d + 2. Let x be i(-10). Suppose -x*r = -r - 2. Differentiate 1 - 4*j**4 + 2*j**3 - 4 - r*j**3 with respect to j.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1110110100000?\nAnswer: -1110110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(5\/4))\/l)\/(l**27\/l))\/(l\/(l*l*l*l**(-2\/63)*l)*l*l*l\/(l\/((l**(5\/3)*l)\/l))) assuming l is positive.\nAnswer: l**(-6161\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*l - 45*l - 6 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1274332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19, 30, 47, 70, 99, 134, 175?\n\"Answer: 3*g**2 + 2*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*c**2 + 76*c**4 + 4*c - 68 + 69 - c + 14*c**2 + 71*c**4 in the form h*c + v*c**2 + t + i*c**3 + a*c**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34675132 is divided by 63.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 6:32 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**3 - 3*i**2 - i - 13. Let s be g(-3). Suppose 2*k - s = -5*o, 12*k = 8*k + 3*o + 222. Calculate the least common multiple of k and 18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 z when four letters picked without replacement from cvczzvcv?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 237*z**2 - 648*z - 5. What is the thousands digit of i(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.01888 + -1.11888. Let g = 0 - -0.5. What is the nearest to 2\/7 in 2, g, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*w + 3*b, 5*w - 2*b = 19 - 1. Let o(v) = -w*v**2 + 0*v**2 + 4*v**2. Let p(n) = 5*n. What is o(p(t))?\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 56?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66410480, -66410465, -66410450?\nAnswer: -66410435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*b + 27 + 15, 0 = 5*b - 3*m - 70. Solve -20*h - 24 = -b*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 1526539.87.\nAnswer: -763269.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((6*(sqrt(2299)*-2 + sqrt(2299))*3)**2 - (4*1*sqrt(2299) - -3*sqrt(2299)*-2)**2)*-3.\nAnswer: -2207035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -160 + 478\/3. Let k = 0.6 + -0.2. What is the closest to 0 in f, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 4*f + 60. Let n be a(0). Suppose 5*v + y - 150 = -3*y, 2*v - n = -2*y. What is the smallest common multiple of v and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1406 + -1399. Let y(o) = -o**3 - 3*o**2 - 4*o. Calculate the lowest common multiple of y(-3) and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b, 102*x = 107*x + 5*b - 10. Determine p, given that -p**2 + 0 - 1\/2*p**5 + 1\/4*p**4 + x*p**3 + 0*p = 0.\nAnswer: -2, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {d: 2, v: 7, o: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 27 = 3*z + 13*u, -2*z - 1 = -5*u. Let a(y) = y**2 + 3*y. Let g(n) = 6*n + 9*n + 1 - 5*n + 4*n**2. What is z*a(f) - 2*g(f)?\nAnswer: -f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 8:19 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (4 + (-3 - 5)) - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 124*t**2 + 3*t - 5. Let n be y(-5). Suppose -o = -2*a - 1540, -3*o - 2*a = -o - n. What is o rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -6. Let u = -32 - -34. Which is the nearest to u? (a) -3 (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2616*y**2 - 4988*y + 2496*y + 2492*y to p*y**2 + u + m*y and give p.\nAnswer: -2616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 255717149 and -2.\nAnswer: 255717147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/60 - (-111)\/4. Let u be -2 + (5 - 2 - -79). Let c = u - 77. Solve -a = -c*m + 4*w - 4, -4*w = 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280*-1.68.\nAnswer: 470.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 - w. Let c(j) = -29*j**2 + 10*j - 794. Let z(d) = c(d) + 7*h(d). Differentiate z(k) with respect to k.\nAnswer: 12*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = -3*y, -2*y - 3*p = -p - 4. Suppose -y*b + 3*b = -24. Solve 0 = 3*f - 8*f - 5*c - 35, 0 = 5*f - 4*c + b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (45\/27)\/(2\/12). What is the highest common factor of w and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 5. Let k be h(-2). Let x(p) be the second derivative of -3*p + 0*p**2 + 0*p**4 + 1\/180*p**6 + 0 + 0*p**k + 1\/60*p**5 - 1\/252*p**7. Factor x(n).\nAnswer: -n**3*(n - 2)*(n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**3 + 7*k**2 - 3*k - 6. Let u(n) = -9*n**3 - 15*n**2 + 7*n + 13. Let a(j) = 7*t(j) + 3*u(j). Let r be a(-4). Which is bigger: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + (-5)\/(15\/(-201)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 20 = 6*f. Let j(n) be the second derivative of 0*n**3 - n + 1\/20*n**f + 0*n**2 + 0 - 1\/12*n**4. Find the third derivative of j(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45957*t*v**3 - 8*v**3 - 3*v**2 - 13 with respect to t.\nAnswer: 45957*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -113773 and 5?\nAnswer: -568865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 - r**2 - r\/2 + 1.\nAnswer: (r - 2)*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1824 - 1204. List the prime factors of j.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -236, -978, -2200, -3902?\n\"Answer: -240*z**2 - 22*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.472 + -0.034. Let v = 52.4 + -47. Let s = z - v. Round s to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 915601, 1831085, 2746567, 3662047, 4577525, 5493001, 6408475?\n\"Answer: -j**2 + 915487*j + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 10670013.337?\nAnswer: -10670007.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (305\/16)\/(-2 - (-24)\/10). Let h = -27\/32 - d. Let i = -199\/78 + 2\/39. Find the common denominator of h and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -25. Suppose -5*f = 5*b - 0*b - 355, -2*b + 5*f = -128. Let d be b\/9 + 6\/w. Solve -g + 5*p = -11, 3*g - 3*p - 2 - d = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 + 0 + 2 + 8*p**2 + 5 - 4 - p to b*p + r*p**2 + w*p**3 + n + f*p**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 442317 (b) 6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o. Suppose -2*t + 8 = -o*t. Suppose -3*s + 219 = t*l, 4*l + 5*s = 43 + 170. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 640 and 15191168.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 22. Let x(c) = c**3 - 7*c**2 - 7*c - 6. Let u be x(8). Suppose 6 + 4 = 5*r + 2*w, 2*r + u*w - 10 = 0. What is the units digit of p(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 378 = -4*t. What is the remainder when 237 is divided by t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.167796 tonnes in kilograms?\nAnswer: 3167.796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-95)\/4) + ((-85)\/68)\/(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -322754?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + (-1*sqrt(175) + sqrt(175) - sqrt(175)))\/sqrt(7))\/(2*sqrt(20) - sqrt(20)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 5*b - 23\/6*b**4 + 0 + 0*b**2 + 0*b**3. Let d(k) = k**2. Calculate h(d(t)).\nAnswer: -46*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 15. Suppose h*v - 115 = 285. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x + 11. Determine a(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133022 (base 5) to base 4.\nAnswer: -1110023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4864, 19840, 44800, 79744, 124672, 179584, 244480?\nAnswer: 319360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 12 = -3*y. Let o(u) = -u**2 + 14*u + 34. Let v be o(y). Sort -2, -4, -5, v in increasing order.\nAnswer: -5, -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1 (c) -2\/21 (d) 1\/11 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*6*(7011\/76)\/123.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -5*k**8\/336 - k**5\/12 - 3*k**2\/2 + 2*k. Let c(u) be the first derivative of f(u). Find the third derivative of c(x) wrt x.\nAnswer: -300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 76838, 153677, 230516, 307355?\n\"Answer: 76839*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) 662 (c) -2\/5 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-6\/7))\/p)**(-22)*(p**24)**(-16\/9) assuming p is positive.\nAnswer: p**(-1292\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 20, 0 = 90*y - 91*y + 3*l + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2533.\nAnswer: 7599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5 = -11. Let s be ((-44)\/(0 - g))\/1. Suppose -s*a = -6*a. Solve 5 + 21 = 5*i + 4*y, -3*i + 4*y - 10 = a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*x = -x - 22, 15 = q - 3*x. Let r = 8 - q. Suppose -4*u - 14 = -5*s + 18, 0 = -3*u + 6. Calculate the remainder when s is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b + 6*b + 5*b)*(-b - 2*b - 2*b + 1).\nAnswer: -20*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 2 - (0 + -3). Suppose r*x + 0*x = -35. What are the prime factors of (3 + x - -3)*-17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 i when three letters picked without replacement from yiyyiyy?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 209\/923160 and -107\/137592.\nAnswer: 108009720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-8216)\/9217) - -11) + -9 + 7.\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 + t - 1. Let l(z) = z - 1. Calculate -c(o) + l(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 814*c + 209192. Calculate u(-257).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30488 and 1924?\nAnswer: 396344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54696 is divided by 246?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.03, 3\/14, 1116, -3\/11, -1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5474048 by -21383.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740518 is divided by 396.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3949*k**2*w**3 - 144*k**2*w**2 + 2*k**2 + 2*k*w**2 - 15953*k*w + 61*w wrt w.\nAnswer: 23694*k**2*w - 288*k**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1003\/14105 + 3\/455. Which is the closest to p? (a) 4 (b) -3 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -10*t - 62. Let l be o(-7). Solve 3*n + 3*k = 0, -3*n = -3*k - 2*k - l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 6. Let w be (-3)\/(-3 - u)*32. Suppose 44 = 3*t - 5*s, -2*t - t + w = -2*s. Calculate the highest common divisor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (9\/6)\/((-3)\/(-100)) is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 19 + 8. Suppose 0 = i + m - 7, -3*m + 22 = 5*i - c. Solve 2 = i*d + 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5*652\/400)\/(-4). Let d = s + 21\/10. Is 1 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 + h**4 - 15*h**4)*(-1 + 4 - 1)*(-2 + 2 - h).\nAnswer: 26*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 0, -2, -3 in descending order.\nAnswer: 0, -2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -5. Let v = -10 - -8. Let f be (-64)\/70 + v\/7. What is the biggest value in f, x, 2\/17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 - -74. Let j be 0\/(3*(-2 - (-14)\/o)). Suppose -f + j*f = -52. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94752 = -5*z + 3*g - 17209, 0 = -2*z + g + 31017. Let m = z - 6203. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.13, -0.05 in increasing order.\nAnswer: -1, -0.05, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -9130 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*v - 57*v + 20. Suppose -w - w + 4*n = 8, -2*n - v = -5*w. Suppose -4*h + 12 = -28. Solve -j = -w*j + h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.46 - -0.31. Let n = -11 - -13. Which is greater: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3168 is divided by 43?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/7 - 930*q**2 - 5307264*q\/7 - 15863256\/7 = 0. Calculate q.\nAnswer: -1626, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-663)\/(-5746) - (-44)\/(-832).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + w**4 + w**2 + 11 - 6*w**3 + 17 to l*w + m*w**4 + h*w**2 + i + t*w**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 10*v - 17. Let r be c(3). Suppose 0*x - 2 = 2*x. Let q = x + 0. Sort -3, q, r in descending order.\nAnswer: r, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -23 + (-1 - 2) + -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1761 - 1779. Which is the nearest to r? (a) -9 (b) -5 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 7*y**2 - 9*y - 5. Let a(q) be the second derivative of q**5\/20 + 2*q**3\/3 - 9*q**2\/2 - 29*q. Let t be a(4). Let n = t + -63. What is m(n)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 42*u - 264. Let k = 5 - 0. Calculate the least common multiple of k and p(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = -0*f. Suppose f = 6*t - 4*t. Let l(u) = 8*u - 1 - 3*u + 0. What is l(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32095, -5, -1006 in ascending order.\nAnswer: -32095, -1006, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203 divided by 4.\nAnswer: -203\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*v + v = 16, 0 = -4*h - 2*v - 8. Suppose q = -h + 3. Suppose 0 = -q*l + l + 226. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 3*o**3 + 2*o**5)*(3 + 1 - 2 + (-1 - 2 + 1)*(3 - 2 - 3)) - 13*o**2 + 3*o**5 + 12*o**2 + o**5.\nAnswer: 16*o**5 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -164459*w**2. Let a(p) = 244*p. What is a(q(x))?\nAnswer: -40127996*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4662 and 2212?\nAnswer: 736596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 401892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -16. Suppose -5*b = -4*v + 78, 5*v + 4*b - 68 = 50. What is the smallest common multiple of v and i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.646088mm to kilometers.\nAnswer: 0.000002646088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(133))\/sqrt(7).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from dwazvdduwavzdz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -103*j + 1. Suppose -5 = -2*q - 7 + 4. Determine o(q).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (-3 + sqrt(108)*-1 - (-1*sqrt(108)*-2 + sqrt(108)) - ((sqrt(108) + (sqrt(108) + 0)*-5 - sqrt(108)) + 1))).\nAnswer: -12*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 3260*h + 1328450.\nAnswer: 2*(h + 815)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**2\/2 - n + 3. Calculate the remainder when f(6) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbsbbbbbsbbbbbbb. What is prob of sequence bs?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 119*v - 1571. Give l(14).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 104453817, 104453793, 104453753, 104453697, 104453625, 104453537?\n\"Answer: -8*u**2 + 104453825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(2*y**2 - 53*y**2 - 2*y**2)*(14*y + 11*y - 26*y).\nAnswer: -106*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 777 - 239. Suppose 5*a + 160 - v = l, 2*l - 232 = -3*a. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -j + 27. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 15*y - 9. Suppose 128 = -122*t - 726. Give n(t).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26740729, 26740671, 26740613, 26740555, 26740497, 26740439?\n\"Answer: -58*h + 26740787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3\/5*r**3 - 18\/5*r**2 + 57\/5*r + 72\/5 = 0?\nAnswer: -8, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -9)*(104\/700 - 24\/56)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 19. Let q(p) = -p**3 + 15*p + 24. Let x be q(-4). Let d = s + x. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 51029.59mm?\nAnswer: 51029590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c - 2. Let f(d) = 9*d + 6 + 6 - 2. Let r(g) = -18*g - 19. Let i(v) = 11*f(v) + 6*r(v). Let w(p) = -4*i(p) + 7*y(p). Calculate w(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 52*i + 555. Let d(a) = -49*a - 523. Let u(n) = 17*c(n) + 18*d(n). Let b = 6 - 14. What is u(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -y - 0. Suppose -2*r - 62 = -3*c + 2*r, y*r + 80 = 4*c. Let x = c + -164\/9. Which is greater: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1944 - -1948.055. Let c = -0.055 + w. What is the biggest value in 5, 11, c?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2046612758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 3*s**5\/20 - 5*s**2. Let w(r) = 3*r. What is c(w(b))?\nAnswer: 81*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39345*l**3 + 78683*l**3 - 39344*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 7 = 5*a, a + 4 = -u + 2*u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6221 - 317285\/51. Let x be 2 - (3974\/(-2244))\/(-1). Let u = x + a. Find the common denominator of -7\/12 and u.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*f - 9. Let w be 189\/1620 + (-2)\/f. Suppose 3*z = 2*z - 5. Which is the second biggest value? (a) w (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2804 - 0.06.\nAnswer: -0.3404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 93 + 83 = 0. List the prime factors of 8\/s - 1701\/(-2).\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 790245 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -479 - -478. Which is the second smallest value? (a) -4 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 89 = -3*i - 65, 4*w = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + c - 136, -21 = -b + 5*c + 27. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4455911399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 7) + 5 - 25 - (-2 - 4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 241132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/33 and (-2352)\/12096*(-1 - (0 + (-178)\/256)).\nAnswer: 16896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15000 + 3*l**3 + 1665*l + 294*l**2 + 1615*l + 3620*l.\nAnswer: 3*(l - 2)*(l + 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*j + 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 8:12 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(120 - 120 - 3*k) + (k + 0*k - 2*k)*(-3 + 1 - 3) to r + f*k and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 3*s + 11121. Give c(-107).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11508866.\nAnswer: 2, 311, 18503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -553 + 552 - 14*x**3 + 43*x**3 in the form i*x + h*x**2 + k*x**3 + l and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-2\/3)))**40\/(a\/(a\/(a\/((a*a\/a**(-1)*a*a)\/a*a)*a)))**(1\/7)*(a*a**(1\/6))\/((a*a**2\/a)\/a)*(a**(-2\/3)\/a)**(-50) assuming a is positive.\nAnswer: a**(4645\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h = 163 + 68. Calculate the remainder when 21 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0517 - 129\nAnswer: -128.9483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/(-6) + (-4067)\/(-42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 514638331*y - 22*y**3 + 59*y**3 + 0*y**2 + 514638331*y.\nAnswer: 37*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 57610 = -z, -5*z + 288137 = -74*a + 78*a. What is the ten thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, m: 4}. What is prob of picking 2 d and 1 m?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/6 (b) -2\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (0 - (-12)\/(-8)). Let p be -4 - (2 + -7) - -2. Which is bigger: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 4*f**2 - 6. Let d(t) = -t**2 + 7*t - 6. Let y be d(6). Let l = 5 - y. Let n(s) = -s**2 + 1. What is l*n(g) + o(g)?\nAnswer: g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 4*v + 30, 3*i + 144 - 139 = 2*v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 + 252*n - 158. Let w(s) = -85*s**2. Give i(w(z)).\nAnswer: 21675*z**4 - 21420*z**2 - 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*g + 140, 9 = q - 2*g - 14. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from {n: 1, a: 2, s: 1, b: 1, h: 2, l: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 4:45 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2929.815 - -3145609?\nAnswer: 3148538.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.003, 0.6, 3\/4, -4, 5.58?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.5087mg in grams?\nAnswer: 0.1625087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*q + 2 = 0, -8 = 9*h - 5*h - 3*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, i: 1, g: 7, a: 6}. Give prob of picking 3 a.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1255\/24 + 158\/3. Sort 18, d, -0.5 in increasing order.\nAnswer: -0.5, d, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/11784 and 25\/11488?\nAnswer: 16921824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*f + 4*o + o, 2*f + o + 5 = 0. Let d(r) = -r - 9. Let q be d(-10). Which is bigger: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**5\/7 + 12*y**4\/7 + 16*y**3\/7 - 12*y**2\/7 - 18*y\/7 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -53*n + 56*n + 240 - 308, -n + 841 = n - 27*c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwdmadwdwadd. What is prob of picking 2 a and 1 w?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 y, and 1 f when three letters picked without replacement from gfwwqfggyw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.4, -53, 2, 0.0442, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**5 - 8*x**4 + 15*x**3 + 8*x**2 - 16*x = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430 + 2501 - 3*f - 1635 - 436.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2)\/((-5)\/100). Let b be (-2)\/3 - (-2)\/(f\/(-505)). Let z = -21 + b. What is the greatest common divisor of z and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:57 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.63 and 28.\nAnswer: -409.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-25))\/((-2)\/7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -199632.141 - -199776.041731. Let y = -143.9 + b. Round y to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4. Suppose 38 = -0*s + s + 5*p, -188 = -4*s - 2*p. Suppose 4*w + a*w - s = 0. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -285.\nAnswer: -1710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**4\/24 + b**3\/6 + 28*b**2 - 16*b. Let s(m) = -2*m**2 - m - 5. Determine -5*g(w) - s(w).\nAnswer: 2*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asaasa. What is prob of sequence as?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/17 - 82734*q**3\/17 - 67116738*q**2 - 308714505770*q - 1849871883108.\nAnswer: -2*(q + 6)*(q + 13787)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 205342*l**2*r**3 - 2*l**2*r - 321*l**2 + 300*l*r**2 wrt r?\nAnswer: 1232052*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2141\/2 + -1094. Find the common denominator of x and 89\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 3 + 3)*(-2 - 2 + 5)*(-7*w + 5*w + 6*w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1197651, 1197653, 1197655?\n\"Answer: 2*g + 1197649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(6\/25)*g**(-12) assuming g is positive.\nAnswer: g**(-281\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 2*h**2 - 3*h - 3. Let x be i(-3). Suppose 5*p - 2 = 9*p + 2*a, 0 = p + 3*a - 2. What is the fourth smallest value in x, p, -0.1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1887 - 1806. Calculate the smallest common multiple of 57 and f.\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + h + 99. Suppose -2*v - 65 = -81. Suppose 153 = v*t - 7. Calculate the remainder when u(0) is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -41*h**2 - 4875*h - 19754. Let t(l) = 52*l**2 + 6500*l + 26338. Let v(o) = 9*j(o) + 7*t(o). Factor v(i).\nAnswer: -5*(i - 329)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18 + 14)*1\/(-12). Let b(w) be the second derivative of 4\/3*w**3 + 0 - 9*w + r*w**4 + 0*w**2 - 1\/5*w**5. Find n, given that b(n) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + -33 - -42 - -12\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-168)*6*(-36)\/(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**5\/10 + g**4\/3 + g**3\/3 - 5*g**2\/2 + 4*g. Let k(w) = -w**3 + 3*w**2 + 2*w - 4. Determine 3*b(y) - 4*k(y).\nAnswer: -2*y**3 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -583 + 353. Let d = g + 258. Solve -7*h + 0*h = d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 208 - 8. Let p(m) = m**2 + 2*m. Let g be p(2). Calculate the greatest common divisor of g and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 65*l - 20. Let a be t(33). Solve -a = -2*q - q - 2*o, -2*q + 3*o = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (16 + 1 - 51)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 2, 0 in decreasing order.\nAnswer: 2, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -1. Let l = u - 2.5. Which is the second smallest value? (a) -3 (b) l (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49806 is divided by 664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.24865 - -20.31565. Let i = 20 - x. What is the second smallest value in -1, i, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 2*(-49)\/28. Which is the smallest value? (a) r (b) 0.1 (c) 84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + -4)**2 - sqrt(114)\/sqrt(150))*-4.\nAnswer: -1280 + 644*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 5*k**2 + 4*k - 2. What is w(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x - 3*x - 4*x. Let f(g) be the third derivative of g**7\/2520 + g**4\/8 + 2*g**2. Let u(b) be the second derivative of f(b). Calculate u(q(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -22322*v. Let t(w) = -13*w**2. Give t(g(l)).\nAnswer: -6477531892*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 110001001 (base 2) to base 5\nAnswer: 3033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 927 is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464769 is divided by 464560?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 12729*v - 760125. Determine c(-60).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 329430 and 15290?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5431 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 + -113. Let o = -52 + 45. What is the hundreds digit of 168 - 0 - i\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from {a: 1, d: 3, u: 6, b: 4}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3641107?\nAnswer: 23, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/9 and -139\/828.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 189 + -192. List the prime factors of (-564)\/(-8) - g\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 3:08 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1458 + 8878 = 2769*c - 74787 - 14561 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/2)\/(4\/(-4)). Let l = 11 + x. Suppose l*q = m, -m - q - 20 = m. Is m bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/64 + 22 + (-2052)\/96?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 36 = 3*h, -2*h + 41 - 2 = f. Let z be (12\/(-6))\/((1 - -3)\/(-4)). Suppose 5*p + 14 = -2*c, 57*p + 6 = -z*c + 54*p. Solve -h = -4*u + c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 10:41 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 852 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4 + sqrt(50)\/(sqrt(10) + sqrt(20)\/sqrt(2)))*-4)**2.\nAnswer: -76*sqrt(5) + 381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 228, 936, 2120, 3774, 5892?\n\"Answer: -k**3 + 244*k**2 - 17*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c - 6. Let j(k) = -20*k + 36. Let w(u) = -13*u + 24. Let i(b) = 5*j(b) - 8*w(b). Let r(o) = -7*f(o) + 3*i(o). Give r(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 7, 3, 1, -168 in increasing order.\nAnswer: -168, -8, -3, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16573*l**6 - l**2 - 10*l - 567 wrt l.\nAnswer: 1988760*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*o = 972, j + 5*o = -j + 402. Suppose j + 209 = 3*f + 3*a, -2*f = -4*a - 300. Is 28 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 241 by 241.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 1200209805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3302446*g**3 + 64*g**2 + 1220 wrt g?\nAnswer: -19814676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/7 - (-15)\/28. Let n = -2 - 0. Let r be 2\/(1\/2 - 1). Which is the closest to v? (a) r (b) n (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2821*y - 2824*y - 2*n - 14 = 0, -2*n - 318 = 28*y - 0*n - 104 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -6.25. Let b = q - -1.2602. Round b to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1017)\/(-54) - (-33)\/198?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4275 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50\/273 - 4\/39. Let x = 0.11 + 0.09. Which is the nearest to k? (a) -1\/2 (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3535 (base 15) to base 2.\nAnswer: -10110000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 663325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 270374285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3385938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqzmqwmp. Give prob of sequence pwn.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219.\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3\/7 + 128*c**2\/7 - 310*c + 3844\/7 = 0.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 26805 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 18 = v, 4*v + 2 + 25 = 3*l. Let m = -411.9 - -412. What is the closest to 2\/3 in 5, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 12, 3*i + 15 = -5*f + 2*f. Put -4, i, 2 in increasing order.\nAnswer: -4, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134624, 134621, 134618, 134615, 134612?\nAnswer: 134609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.011 - 0.0255. Let q = y - -0.0702. What is q rounded to 3 decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1862 + -1864. Which is the nearest to 0.5? (a) 5\/2 (b) m (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 8*m - 4. Let t be j(-7). Let q = -2 + 7. Let a = t + q. Calculate the remainder when a is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6185\/8 + -769. Let f = -4 + m. Which is the biggest value? (a) f (b) 2\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5. Solve -5*d + 15 = -3*m - 2*d, -2*m = s*d - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 13 = -5*h - 5*f, h + 3*f - 6 = 0. Solve k - 4*m - 2 = -h*m, k - 5*m - 10 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176 + 168 - t + 194 - 573.\nAnswer: -t - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 526 = -6*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1508391813 is divided by 1121?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/((-11000)\/(-630))*4\/6. Let n = 1\/110 - g. Let o = -46 + 68. Sort -0.4, o, n in decreasing order.\nAnswer: o, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.074 - 0.07400347. What is h rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 4*c**2 - 3*c**2 - 2*c + 2*c. Let z(r) = -2 + 0*r + 1 + 5*r - 5*r**2. What is -4*x(d) - z(d)?\nAnswer: d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -4, -2, -0.1, 0.37 in ascending order.\nAnswer: -4, -2, -0.1, 0.37, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t**2. Let a(c) = -62*c**2. Calculate k(a(o)).\nAnswer: 30752*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 1. Let k(f) = 2728*f - 10909. Let m be k(4). Solve -w - 12 = 4*l + 3*w, -m*l - w = u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -t + 4. What is the remainder when t is divided by (-2 - -4 - -5)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7247162 = -5*i + 7852838. Suppose 0 = -4*s + 2*s + i. Round s to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**4*a*a\/(a*a*a**11*a)*(a*a**2)**(4\/11) assuming a is positive.\nAnswer: a**(-76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 7042.\nAnswer: 7040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 + 43*d**2 - 61*d + 24. Let s be h(20). Solve -s*m + 4*j = -12, 4*m + 0*j - 14 = 2*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -199*g**2 + 2651?\nAnswer: -398*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from watlwlataaataaaa. Give prob of picking 1 l and 2 w.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 11:17 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105 - 104. Let l = 1350 - 1415. Is l > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**2 - 36*x + 96 = 0. What is x?\nAnswer: 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 13, -118, 0 in descending order.\nAnswer: 14, 13, 0, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7293*m**3 + 4*m + 51?\nAnswer: -43758*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35, -51, -69, -89, -111, -135?\n\"Answer: -t**2 - 13*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24805 + 24805 = 4*a + 2*z, -3*a = -z + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 - 29818*r\/5 - 2734792\/5.\nAnswer: -(r + 92)*(r + 29726)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from vwmmppwmemmvwlmmeep.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 253. Suppose -b + 3*g = -64 - 41, -2*b + 3*g + a = 0. Suppose 3*j = -j + b. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**3\/3 - z. Let l(p) be the first derivative of -20*p**2 + 2*p - 2182. Determine l(t(w)).\nAnswer: 80*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - j + 65 = u, 3*j - 13 = -u. Let z be (-51 + 50)*(13*-1)\/1. What is the greatest common factor of z and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1003087.673 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 46315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x - 4*f = 35, -4*f - 25 = -x. Suppose -2*t + x*s + 30 = -t, -2*s = -4*t + 30. Suppose 0 = -r - t*w + 21, -2*w + w = -4*r - 21. Is -2 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*q - 175*q**5 + 166*q**5 - 3*q wrt q.\nAnswer: -180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 2:33 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 11. Suppose -n + 36 = h*n. Solve -2*q = -q + 4*i - n, -2*i + 10 = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -f4?\nAnswer: -f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 0.082, 2\/115, 0.4?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 13*m**2 - 2*m + 14. Let k(h) = h + 6. Let j be k(0). Suppose 0 = -j*r + 4*r + 8. What is the remainder when n(r) is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 5, -9237, -3 in decreasing order.\nAnswer: 5, -1, -3, -8, -9237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a meter in centimeters?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**2*z**5 - 176*f**2*z**3 - f**2*z - 14*f*z**2 + 20*z**2 wrt z.\nAnswer: -60*f**2*z**2 - 1056*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 3*h**2 + 3*h - 7. Let q be b(-5). Let d be q\/(-4) - (-1 + 1). What is the greatest common divisor of 45 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(9\/2)\/i*(i\/(i*(i*i*i**(-2\/7))\/i))\/i)**18 assuming i is positive.\nAnswer: i**(225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s + s)*(3 + 2 - 4)*(-4*s**4 - 2*s**4 - 2 + 5*s**4).\nAnswer: -3*s**5 - 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -12*y**2. Let f(u) = -1077*u**2. Give r(f(n)).\nAnswer: -13919148*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 c when four letters picked without replacement from cpccpccpcccccccc?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971584276?\nAnswer: 2, 13, 18684313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 6772 - 18891. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - 0.12. Let y = f + -0.34. Suppose -r + 2 = 3*j - 0*j, 2*j = -3*r + 6. Which is the closest to -1? (a) y (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a68 (base 14) in base 9?\nAnswer: 27353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 9:13 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12390?\nAnswer: 2, 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53213?\nAnswer: 127, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6471700 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -22. Suppose -7*h + 2*h = 90. Calculate the lowest common multiple of (-222)\/h + k\/6 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 282\/(-48) - -2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5 + 15. Let x be 1*(-3 + (5 - z)). Let j(o) = -32 + 15 + 17 - o. What is j(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -123417, -2, -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 0*m**3 - 2*m**2 - 15*m**3 - 11 - 5*m**2 + 5*m**2.\nAnswer: -15*m**3 - 2*m**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**3\/3 + 21*a**2 + 24*a. Is w(7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/12 and -55\/6261?\nAnswer: 25044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -5, 2, 9.\nAnswer: -7, -5, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26622314 divided by -37?\nAnswer: -719522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 84214157*d**2 - 214879138 wrt d?\nAnswer: 168428314*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 512786747 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**4 + 16*h**3 + 2328*h**2 + 17264*h - 19604 = 0. What is h?\nAnswer: -13, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 2*z + 8, 19*z = 3*q + 18*z + 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 623 - 590. Does 67\/2 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.24 + -0.16. Put 0.6, m, -0.5, 3 in ascending order.\nAnswer: -0.5, m, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5378 = 27*p + 283*p + 19328 for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (47\/(-3) + (-2)\/(-3))*-263*(-648)\/255636?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2120, 1935, 1638, 1229, 708, 75, -670?\nAnswer: -1527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x + 24. Let s be a(-7). Sort s, 2, 4 in descending order.\nAnswer: 4, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/4)\/(-7)*4\/14\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 0*q**3 - 2*q**2 + 0*q**4 + 1\/210*q**5 + 0 + 0*q - 1\/420*q**6. Suppose a(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*y - 567 = -129*y. Calculate the remainder when y is divided by (-448)\/(-42)*(-6)\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, w: 8, d: 1, e: 3, g: 5}. Give prob of picking 1 p and 1 e.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1551451 (base 6) to base 11.\nAnswer: 63477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**4 - 52628*f**3 - 3438252*f**2 + 7034372*f - 3543496 = 0. Calculate f.\nAnswer: -67, 1, 13222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -6\/49 (c) 11\/926 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 61 - 9*z**2 - 61)*(-2 + 2 + 4*z) to the form m*z + f*z**3 + c + g*z**2 and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 13*m - 3. Let w be a(-6). Solve o = -w*o - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6650.259695 rounded to one dp?\nAnswer: 6650.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2854716097 to the nearest integer?\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 16 (b) 0.3 (c) 4 (d) 0.5 (e) 2\/17 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - f**2 + 18*f**3 + 10*f**3 - 27*f**3 + f to j*f**3 + t + u*f**2 + r*f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1198*c**3 + 524702*c**2 - 57447642*c - 1055142.\nAnswer: -2*(c - 219)**2*(599*c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -42, -67, -78, -69, -34?\n\"Answer: h**3 + h**2 - 35*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -29*m**4\/12 - 2*m**2 - 6953*m. Let h(r) = -29*r**2 - 3. Give -4*h(j) + 3*l(j).\nAnswer: 29*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2332 + 5.3282. Let d = n - 0.095. Is d at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 479 and 506303.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 16 - (0 - (-6 - 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2619*s**2 + 1304*s**2 + 1311*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -131 - -171. Let j be 1 + (14\/b)\/((-8)\/(-20)). Factor -1\/2*p + j*p**2 - 1\/2.\nAnswer: (3*p - 2)*(5*p + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442231 (base 7) to base 8.\nAnswer: 227506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1274, -1, 0.1.\nAnswer: -1274, -1, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33459827?\nAnswer: 33459827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 2:54 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*q + 0 + 3\/4*q**2.\nAnswer: 3*q*(q - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x, -v + 12 = 3*v - x. Suppose -3*n + v = -15. Suppose -3*p + n = 3. Solve -2*s - p = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**2 - 192*n - 183. What is y(-47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7197797 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z**2 - 2*z - 11. Let g(j) = -39 + 15 + 16 - 13*j + 5*j. Let w be g(0). Let k(s) = 7*s**2 - s - 7. What is w*k(l) + 5*m(l)?\nAnswer: -l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 24*p**2 - p - 19. Let w be t(24). Let o(c) = -17*c - 366. List the prime factors of o(w).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -187 - -190. Let g(d) be the third derivative of 0*d - 1\/20*d**4 + 0 - 3\/10*d**c + 1\/100*d**5 + 9*d**2. Let g(p) = 0. Calculate p.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/7 at least -728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6506 + -6504. Let a(d) = -2*d**2 + 18*d - 16. Let u be a(8). Let 2\/7*w**3 + u - 6\/7*w**4 - 4\/7*w + 6\/7*w**h + 2\/7*w**5 = 0. What is w?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 11*u**2 + 2*u + 26. Calculate n(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -6, 0 = 3*n - r - 10 - 8. Let d = 1 + n. Suppose d*y + 7 = 13. Is y at least 6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 183*b - 31778. Give d(173).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - x**3 - x**3)*(16*x - 16*x - 17*x**2) - 2*x**5 + 0*x**3 + 0*x**3 + 6*x**5 - 3*x**5 - x**5 + (3*x**4 - 3*x**4 + x**4)*(x + 3 - 3).\nAnswer: 18*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i - 408 = -75*i + 122 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (3 - -8)) + 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69.1 + -71. Let s = -3.9 - r. Is s at least as big as -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1325 - -242?\nAnswer: -1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422010 is divided by 1803?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 50 = -11*i. What is the remainder when i is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/(-64) - 11\/(-4). Let v(z) = 2*z**2 + z + 4. Let l(a) = 4*a**2 + 3*a + 9. Determine d*l(h) - 5*v(h).\nAnswer: -2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12)\/i**(19\/2))\/((i*i**(2\/31))\/i**(-5\/8)) assuming i is positive.\nAnswer: i**(-5751\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 4*b**2 - 3*b**2)*(-2*b - 4*b - b).\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*n = -309*n + 3752 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 - 60. Suppose 2*p + a*c - 184 = p, -5*p + 920 = c. Does 29 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 62719629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 18*i**2 - 1174*i + 16369. What is g(45)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 10*s + 16. Let z be v(9). Let i = z - 29. Sort 2\/3, -1\/4, i.\nAnswer: i, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/((-31)\/((-2 + 3)\/1)). Let w = m + 1669\/155. Find the common denominator of (178\/10)\/(12\/10) and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/4))**(-4)*b**8*b\/b**(2\/9) assuming b is positive.\nAnswer: b**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 - 104.957. Let b = -0.042874 + z. Round b to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-337)\/(-2))\/(21\/(-42)). Let m = -333 - o. Solve m*n = 4*w - 24, -4*n - 4*w - 3 = -w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h - 7. Let o(u) = 7*u + 5. Let z(g) = -3*o(g) + 2*t(g). Let d(s) = -2*s. Determine z(d(n)).\nAnswer: 14*n - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2450329909 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 201 + 753. List the prime factors of b.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*h**2 + 101980*h + 22664 = 0. Calculate h.\nAnswer: -2\/9, 2833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c + 19. Is 9 a factor of f(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 7*s - 2. Let z be r(-5). Let b = -41 - z. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/44403 and -143\/4932?\nAnswer: 72998532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d - 2*o = -14, -3*d + 46 = -2*o. Suppose -4*c + 4 = -d. Suppose -3*m + c = 16. Put m, -5, 10 in decreasing order.\nAnswer: 10, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 1.14. Let a = n - -77.94. Let k = -77.2 + a. What is the smallest value in 5, 10, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012604 to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 13, o: 5}.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -144738, -566086, -1268332, -2251476, -3515518?\n\"Answer: -140449*k**2 - k - 4288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*r = -3*b + 7, -2*b + r + 4 = 0. Let a be 0\/(0 + b)*1. Which is greater: a or 9\/8?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 2130?\nAnswer: 14910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 8) to base 5\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 4*j - 5\/2*j**2 + 1\/2*j**3 + 0 + 5\/12*j**4 + 1\/20*j**5. What is b(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + -10. Let o = m + 37. Put 0.5, o, -0.4 in ascending order.\nAnswer: o, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1790 divided by -358.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.035 - 0.035. Let i = 480\/3289 - -2\/253. Which is the closest to -0.1? (a) i (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-4))\/(((-65)\/100)\/(-13)). Let y = -5 - -5. Solve p - v = -y*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 480168 and 2673.\nAnswer: 5281848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02921*-1.\nAnswer: 0.02921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -223 divided by -25108\nAnswer: 223\/25108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - b**2. Let q(u) = 4*u**3 - 8*u**2 - u + 2. Let y(c) = 12*c**3 - 25*c**2 - 4*c + 7. Let w(a) = 7*q(a) - 2*y(a). Give w(k) - 6*x(k).\nAnswer: -2*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 0*n**3 + 1\/30*n**4 - 1\/150*n**5 + 0*n - 2*n**2 - 1\/300*n**6 + 0. Factor t(w).\nAnswer: -2*w*(w - 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 701*v = 635*v + 3161334. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105\/21 + (-3*5)\/(-3) and 208.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a**2 - 5*a + 9. Let o be s(2). Let v be 22\/o + ((-632)\/6)\/(-2). Let i = v + -26. Calculate the remainder when i is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 20024410.\nAnswer: 40048820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 + 4*s**2 + 317*s - 6. Let b(y) = -3*y**2 - 2*y + 3. Determine 2*b(m) + f(m).\nAnswer: 2*m**3 - 2*m**2 + 313*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*g**5*n - g**4*n - 4*g**2*n - 3*g*n - 121*g + 9*n wrt g.\nAnswer: 420*g**3*n - 12*g**2*n - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (9 - (-4 + 9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -642*q - 15. Let y be k(7). Let j = y + 67711\/15. What is the common denominator of -39\/4 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10198820 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 9*t**2 + 324*t - 2236. Give x(-42).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.357804 years in months?\nAnswer: 52.293648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 2353442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14526*r + 11941 = -4426*r - 775859 for r.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2127 and 2.41776?\nAnswer: 2129.41776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1499, -1218, -937, -656?\n\"Answer: 281*d - 1780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**2 - 4*m - 6. Let b be l(5). Solve 2*x - 2*p = b, 8 = -x - 3*p - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + (4 - 0) - -5) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 12 - 4866*c**3 - 9629*c**3 + 11.\nAnswer: -14495*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 290 and 15973374.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, k: 2, h: 4, f: 1}. What is prob of picking 1 f and 2 k?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zasisrsqrsazisiiiai. What is prob of sequence risz?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -114400745.22 rounded to the nearest 10000?\nAnswer: -114400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.33 - 0.59. Let o = -0.76 - y. Suppose 0 = -3*k - 2*k. Sort o, k, -1 in descending order.\nAnswer: k, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -97 and -1.25932.\nAnswer: -98.25932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 1. Let q(f) = 2*f**2 + 3*f - 7. Let k(r) = 4*n(r) + q(r). Let d be k(-3). Let b = -7 + d. What is the highest common divisor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-8) - ((-21)\/(-2))\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 17*s**2 - 44*s + 1. Give d(-3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3900 is divided by 126.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 0 + 1)\/(-1). Let k = 14 + a. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**2\/2 - 7*r + 3. Let q be y(8). Calculate the highest common divisor of q and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 699.1369um to meters.\nAnswer: 0.0006991369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -30, 5\/4, 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2)*23\/(8280\/16).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*z**3 - 765 - 767 + 1539 as q*z**2 + w + d*z + f*z**3 and give f.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -575794\/21 or -27419?\nAnswer: -27419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-9) + 44\/6. Suppose 662 = h*j - 1186. Suppose -4*v - 10 + 2 = 0, -5*s + 4*v = -j. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9663?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen fifths of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/3, -0.09, 4, -587?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2083*f + 2616 with respect to f.\nAnswer: -2083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4319\/116 - -33017\/812. Let -3\/7*w**3 + 24\/7*w**2 - z + 3\/7*w = 0. Calculate w.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**2*f + 14482*c**2 - 2*c*f**2 - c + 1322*f**2 wrt c?\nAnswer: -4*c*f + 28964*c - 2*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n\/(n*(n\/n**(4\/5))\/n))\/n)\/n*(n**(-6\/11)*n)\/n)**(-1\/40) assuming n is positive.\nAnswer: n**(41\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 5) + 4 - (-6 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/690 and -71\/92460?\nAnswer: 92460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 18*l + 5*l - 23*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**4\/3 + 85*b**3\/3 - 65*b**2 - 85*b\/3 + 190\/3 = 0. What is b?\nAnswer: -19, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 57027 divided by 2\nAnswer: 57027\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 161888?\nAnswer: -15\/80944","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 216.33 from -829416293.\nAnswer: -829416509.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34539110 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 19*j**2 + 1. Suppose -5*v = -4*w - 9, 2*v = -w + 10 + 4. Let f = w - -12. What is the lowest common multiple of q(1) and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -12 - 3. Let v(h) = 476*h + 18. Let q be v(c). Round q to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from sfsfhshsffhs?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*y + 32*y - 20558*y**3 + 20562*y**3 + 31*y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -11*s**2 + 8*s - 28. Let x be u(4). Let i = 200 + x. What is the greatest common factor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-12)*4\/12.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160 - 189. Let b be 24 + f - (-1 - 4). Factor b - 2\/3*r**4 - 2\/3*r**3 + 2\/3*r + 2\/3*r**2.\nAnswer: -2*r*(r - 1)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 990644\/147675 - 1812\/275. What is the common denominator of -3\/2864 and i?\nAnswer: 8592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4759809 to the power of 1\/2, to the nearest integer?\nAnswer: 2182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.2 (b) 1\/3 (c) 7506 (d) 0.3 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8703)\/(-4) - (-7)\/28. Suppose 4*j - 2*q + 5*q = -x, 0 = j + 2*q + 539. Round j to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -41)*(-3)\/(-6). Let l(r) = 19 - j - 3*r. Let z(n) = -4*n**2. Calculate z(l(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123810 (base 9) to base 6.\nAnswer: 1335143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -109792382?\nAnswer: -109792379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**2. Let w(o) = -31*o - 1027. Give w(l(j)).\nAnswer: 124*j**2 - 1027","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 6*z + q - 1281 = 0, 4*z - 2*q = 1290. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -116*n**2 - 1681*n - 1241. What is x(-14)?\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 303 - 4664?\nAnswer: -4361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5 + 3*x**4 - 17*x**3 - 19*x**2 + 4.\nAnswer: (x - 2)*(x + 1)**3*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (192\/(-10))\/(7*7\/35 - (-81)\/(-45))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n**3 - 4*n**2 - 9*n - 1. Let t(w) = 5*w**3 + 3*w**2 + 8*w. What is 4*t(k) + 3*u(k)?\nAnswer: 2*k**3 + 5*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + i - 1. Let r be x(2). Let u = 10 - r. Sort 5, u, 4 in ascending order.\nAnswer: u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.21 (b) 11 (c) 4\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73\/(-73)*162\/9.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000055245 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 3*n**5\/20 + n**4\/24 + n**3\/3 - 3*n. Let h(p) be the second derivative of x(p). Is h(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 7312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -249.915 - -194.87. Let r = z + 0.045. Let u = -55.0104 - r. Round u to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 5*v**2 - 2*v**2 + (-5 + 4*v + 5)*(-121 + 121 - 31*v).\nAnswer: -122*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.5, 0.4, 1\/13, -1, 0.6, 4\/991 in descending order.\nAnswer: 3.5, 0.6, 0.4, 1\/13, 4\/991, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165301736 by 1.\nAnswer: 165301736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-7*6\/(-462))\/((-8)\/(-44))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 3 - 3 + (10 - 2 + 32)*(-1 - 3*j + 1) to g*j + h and give g.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 290 + 750. List the prime factors of y.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 0*u**3 + 1\/15*u**6 + u**2 + 0 + 0*u**5 - 1\/3*u**4 + 2*u. Suppose s(m) = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/3 (b) 4 (c) 3\/10 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 140*y**3 + 9*y**2 + 5*y - 5. Let g(n) = -70*n**3 - 4*n**2 - 2*n + 2. What is 2*c(h) + 5*g(h)?\nAnswer: -70*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(16\/6))\/(37\/((-55500)\/45)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r + 24*r = -27*r - 36770. What are the prime factors of r?\nAnswer: 5, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/3)*a)\/(a**11*a)*(a**(3\/4))**(-4\/3) assuming a is positive.\nAnswer: a**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 14 - (59 + -81 - -52)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 - 4*z**3 - z**2 - z**2)*(0 + 1 + 2)*(-10*z + 0*z - 60*z).\nAnswer: -210*z**4 + 420*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 14*k**2 + 2*k - 8. Calculate the lowest common multiple of p(14) and 46.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376455 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + ((-2 + (sqrt(2700) + 1 + 4)*-5)*2)**2.\nAnswer: 32400*sqrt(3) + 272911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 + 4*v**3 - 3*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -323.54385655+-31\nAnswer: -354.54385655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 5*m, -2*l + 147*m - 143*m = 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195525?\nAnswer: 3, 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2724 + 5?\nAnswer: -271a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25282 - -277790\/11. Which is the second smallest value? (a) x (b) -2 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c - 273*c - 274*c = -137064384. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26121737 divided by 36.\nAnswer: -26121737\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*j**2*s**3*y - j**2*s**2*y - j**2*s - 2*j**2*y - 4*j**2 - 17733*j*s**3*y + 1765*s**2*y + 2*y wrt s?\nAnswer: -324*j**2*y - 106398*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 - 53*o**2 - 106*o + 1. Give r(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -88*a + 613. Let s be d(7). Let y be 4\/(-6) - 44\/6. Which is bigger: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 71 = -4*b, 0 = -r - 33*b + 29*b - 5 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -162450 divided by -190?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -607159*a**2 + 607159*a**2 + a**3 - 163*a + 25*a**5 - 3 + 1 wrt a?\nAnswer: 500*a**3 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 46, 0, -0.058034 in ascending order.\nAnswer: -0.058034, 0, 0.3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/5)*l\/l**(-7))**50*l**(2\/7)\/l**(4\/5)*l\/(l**5\/l)*(l*l**(2\/5))\/l assuming l is positive.\nAnswer: l**(16341\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 3 - -1 - -3) + -817 + 807.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 14*d**2 + 0*d + 0*d**4 + 0*d**5 + 0*d**3 + 0 - 7\/15*d**6. Let j be h(-10). What is j rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32357\/7 + 4609. Let o = 1020\/77 + p. Let x be 5\/(-2)*(-12)\/135. Put 4, o, x in decreasing order.\nAnswer: 4, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 8*o = -48 + 24, -101*r - 2*o + 12 = -96*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -219778b + 4?\nAnswer: -2197787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 25 - 45 = 0. Suppose -n - o = -8*n. Solve 0 = n*b - 8 - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 692 and -5.87.\nAnswer: -4062.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*f*u**3 + 11*f - 1371*u**3 + 1665*u**2 wrt u?\nAnswer: 54*f - 8226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 0.2, -0.151, 4\/3, -19?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -261 - -371. Suppose -5*q + u = -105. List the prime factors of q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aagaoaxxxbgxxaxaab. Give prob of sequence baxo.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 897 - -2886. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 4*h**2 + 3. Let i be (-10 + 4)\/(3\/(-2)). Let f be d(i). Solve 2*v - f*t = 13, -t + 2 = 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 12*q - 21. Let g be n(9). Let t(m) = m**3 - 7*m**2 + 6*m - 3. Give t(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596.6954 milligrams in kilograms?\nAnswer: 0.0005966954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13636171 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7580190 or 30320755\/4?\nAnswer: 30320755\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (61\/((-8540)\/(-240)))\/(12\/(-8))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -13*i - 4. Let b be c(2). Let m = b - -61. What are the prime factors of (-1)\/(6\/27 + m\/(-99))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3. Which is greater: g or -6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350844517 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + n**2 + n + 2. Let o be x(0). Suppose 6*m = o*m. Suppose r - 2*r + 3 = m. Solve r*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ppppyppypyp?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(3\/(-4))\/(150\/160)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-4 - -1 - ((-3 - -23) + -36 + 11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -178 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, 1, -144, -40, 2 in decreasing order.\nAnswer: 2, 1, -40, -109, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 81 divided by -34\nAnswer: -81\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*o - 169*o + 6 = 0. Let k(h) = -2*h - 3. Let p be k(-3). Factor 0 + 3\/2*j**o + j + 1\/2*j**p.\nAnswer: j*(j + 1)*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-10))\/((-20)\/32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -118217, -236425, -354633?\n\"Answer: -118208*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*d + 154 - 1514 = 165*d. Which is smaller: -4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 9*d**2 + 3 + (-3*d + 0*d + d)*(-2*d + 3 - 3))*(82 - 10*d - 82) to t*d**2 + h*d + i*d**3 + n and give i.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 820 divided by -4.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1700) - sqrt(1700)*1*2))**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1225)*-2 + sqrt(1225))*-6 - sqrt(1225)*-2*1)\/(3*sqrt(63) + -1*1*sqrt(7)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 9*s**2 - 9*s - 6. Let k be o(9). Let v = k + 91. Solve -v*j - 3*b + 0*b = 4, j - 2*b + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37408 + 80?\nAnswer: -37318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 3. Suppose l - r*l = 9. Which is smaller: -4 or l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 10:03 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 20 + 14 - 9)*(-x**2 - x**2 + 0*x**2 + (-39*x + 68*x - 2*x)*(-5*x + 3*x + 5*x)) as o + r*x**2 + m*x and give r.\nAnswer: 2370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 787*f**4 - 4*f + 91 wrt f?\nAnswer: 9444*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1491907204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 72754227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 410?\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from {d: 3, z: 2, v: 2, k: 6, o: 1}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + 59. Let d = -81 + v. Which is the closest to -0.1? (a) 0 (b) d (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21413, 41819, 62267, 82757?\n\"Answer: 21*i**2 + 20343*i + 1049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 h when three letters picked without replacement from {m: 3, l: 3, i: 3, h: 2, d: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*8\/12*(-15)\/20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3c518 (base 15) to base 6\nAnswer: -4051535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z. Let v(y) = -46*y. Let m(r) = -91*r. Let o(a) = -3*m(a) + 5*v(a). What is p(o(t))?\nAnswer: 43*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**4 + 4*s**4 + s**4)*(-3 - s + 3) - 2*s**5 + s**5 + 2*s**5 + 8*s**5 + 0*s**5 - s**5 + (0*s**4 + 2*s**5 + 0*s**4)*(2 + 4 - 5).\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 12. Let q be 2 + (i - -2 - -2). Is (13 + -11)*307\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8158?\nAnswer: 2, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*x + 47 = -2*a, 0 = 5*a - x + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -0.5, -402, -2, 1\/7 in decreasing order.\nAnswer: 1\/7, -0.5, -2, -16, -402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 14*r**3 + 14*r**2 + 14*r + 43. Let z(s) = -5*s**3 - 5*s**2 - 5*s - 14. Let u(d) = 4*g(d) + 11*z(d). Is 18 a factor of u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -15*l**3 - 5*l**2 - 3*l + 2. Let i(p) = -2*p + 8. Let d be i(4). Suppose d*c = 2*c + 4. Does 36 divide x(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 28 = 4*s - 6, -8 = w + 2*s. Solve 5*c = -5*t, w*c + c = -6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 24 - (-1 + 0 - 7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8301681 to two decimal places.\nAnswer: 1.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a factor of 397699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/5 - 2694*u\/5 - 106964 = 0 for u.\nAnswer: -1105, -242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/(-6))\/(90\/(-60)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 23*m - 32. What is f(-22)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49444, -49441, -49438, -49435, -49432, -49429?\n\"Answer: 3*h - 49447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1 + 0*h**2 + 0 + 2*h**2 - h**2. Let f(c) = -17*c + 17. Let w(a) = f(a) - 17*q(a). Find the second derivative of w(t) wrt t.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + i = -14, 1016*i - 12 = 1019*i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-30) + 405\/50 + -8?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1193 - -1813. Let x = 608 - z. What is the third smallest value in x, 5, -11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-18) - 26\/(-36). Which is the closest to -2\/3? (a) n (b) -1 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70487\/14 + -5031. Find the common denominator of (-330)\/(-63)*(-12)\/15 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 7. Let r = 1 + m. Suppose -r*d - 43 + 108 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 8:48 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16327381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(1 - 1 + 5*u) + (-17 - 6 + 2)*(0*u - 3*u + u - u - 2 + 2 + (0 + 0 - 1)*(2*u + 2*u - 2*u)).\nAnswer: 100*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 265, 5, -1, 73, -2 in increasing order.\nAnswer: -2, -1, 5, 73, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 95830.48 millilitres?\nAnswer: 95.83048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -8*z + 3*z. Let s = 16 + z. Suppose -4*o + s = 2*q, -2*q = -5*o + 11 + 11. Is q > 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -5542147.\nAnswer: 1\/5542147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/15*(-12110)\/(-14532)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 214?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19641570173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 88\/3005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -21\nAnswer: 21.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -7*v + 3*v - 874, 5*v = o - 306. Let r be (-10)\/6 + o\/156. Determine g so that -r*g**4 + 1\/6*g**2 + 0 - 1\/6*g**3 + 1\/6*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 16*p**2 + 64*p + 10. Let n be q(-4). Solve o + 4*o = -n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 725 = 3132. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1265, -1252, -1217, -1148, -1033?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2183818.\nAnswer: 2, 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -4*m + 9, -3 = -2*m + 3*d + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 9:26 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*r = 16, w - 5 = 4*r - 0. Let n(f) = -f**3 - 2*f**2 + 2*f - 2. Let k be n(w). Is 3\/8 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 312 = -4*y, -2*y - 5*m = 2*y - 284. Let v = y - 68. Suppose 0 = v*g + g - 27. Solve -4*n + 5 = -g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 - 2*n + 2. Let j(q) = -q**3 + q + 1. Let f(d) = j(d) + o(d). Let b be f(-2). Let k be (-2 - -4)\/(-4*b\/48). Solve -1 - k = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -12410*w + 136517. Calculate v(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 2*g - 1 - g**2 - g. Let y(o) = o**2 - 5*o - 8. Let q = 2 - -4. Let d be y(q). Calculate c(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -3e?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-119)\/(-476))\/(6\/648)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/5949 and -143\/1668.\nAnswer: 3307644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 107\/61 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**11*l)**10*(l\/(l\/(l*l\/l**(1\/25)*l)*l))\/(l\/l**(-7)) assuming l is positive.\nAnswer: l**(2849\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 7*j. Let x be d(6). Let t(h) = 4 - 9*h + 1 + 11*h. What is t(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 4923176.\nAnswer: 492317.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4163510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffiasaasaivvi. Give prob of picking 1 v, 2 s, and 1 a.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*25\/(-60))\/(36\/21888*80).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((353400\/171)\/(-100))\/((-2)\/3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99847032 is divided by 642?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.77 + -0.07. Let k = h + -4.7. Let d = -3.992 - k. What is d rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - 2*h**4 + h - 51*h**5 + 56*h**5 + (-h + h**2 + h)*(-h**3 + 4*h**3 - 2*h**3) - 3*h**5 + 0*h**5 + 5*h**5.\nAnswer: 8*h**5 - 2*h**4 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9510117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 978*h + 79707.\nAnswer: 3*(h + 163)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5844 + -5548. Calculate the greatest common divisor of w and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + q + 3*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -436 + 356. Let k = 85 + j. Which is the second smallest value? (a) -13\/4 (b) k (c) -0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 129 and -970.\nAnswer: -841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:04 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.054 - 0.906. Round n to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**2 + 5*x - 4227. Calculate g(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-835)\/(-6) - (-1)\/3)*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(28)*-2 + sqrt(28) + -4.\nAnswer: -6 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -6474938.\nAnswer: -2\/3237469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 288788269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80\/28*4\/(-8)*-21 and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1079.\nAnswer: 1\/1079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -121\/7. Suppose -5*p + p = 3*d - 15, -2*d = 5*p - 10. Which is the third biggest value? (a) i (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -15. Let o = 10 + u. Suppose 4*f = 3*f + o. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from {t: 1, i: 2, o: 3, w: 3, q: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -17*f + 398. Let u be r(47). Is 3 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 2:05 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 2*g**2 - 2*g - 12. Let z(u) = u**3 + 2*u**2 - 2*u - 14. What is 5*l(y) - 4*z(y)?\nAnswer: y**3 + 2*y**2 - 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 + 171. Find the third derivative of -50 + v + 21*c**5 - 22*c**2 wrt c.\nAnswer: 1260*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(((-159)\/2120)\/((-3)\/2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 113*t + 0*t**2 + 2 - 13\/4*t**4 - 4\/5*t**5 + 0*t**3. What is the derivative of l(v) wrt v?\nAnswer: -16*v**3 - 39*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 111102*y - 78875. Let h(x) = 11110*x - 7888. Let q(j) = -21*h(j) + 2*n(j). Differentiate q(i) wrt i.\nAnswer: -11106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -413 + 410. Is 30 a factor of (-9)\/(-108)*m + (-1362)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4513 or -4511?\nAnswer: -4513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + -65 + -37 + 29.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxaabaeaa. Give prob of sequence zaax.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by -6.\nAnswer: 73\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-8)\/((-800)\/12)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*38*(0 - (7 - 8)). Calculate the greatest common factor of 1615 and a.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-72))\/((-4)\/(600\/(-9))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -33*s + 6 + 30*s - 6. Let b(u) = -2*u. What is b(t(g))?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 + 2*y + 1. Let h be j(-1). Solve 8 = -h*s, s + 2 - 10 = -4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - i - 3*d + 17, 3*i + 10 = 2*d. Let u be (-1 - 0)\/(-5 - i). Solve -4*b - 11 = u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*j = -71*j + 826. Calculate the remainder when j is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 16 (b) 1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - -2 - (6 + -14). Suppose -4*v - 4 = 2*j, 2*v = -4*j - p - 4. Find x, given that 57\/5*x**4 + v - 9*x**3 + 3\/5*x**2 + 6\/5*x - 21\/5*x**5 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 3, 2, -3 in decreasing order.\nAnswer: 15, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {w: 3, u: 4, o: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3761 + 74.4161. Let v = l - 74. What is v rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 25.94. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.33 in 5, 3\/11, 4?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(320) - (sqrt(320) + -2)) + -1)*-6 + 2)*-4)**2 + 0.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 488700 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -391593*i**2*n**4 - 44*i**2*n**2 - 1060*i**2 + 13128*i wrt n.\nAnswer: -1566372*i**2*n**3 - 88*i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-61450)\/(-14) + (-7 - 470\/(-70)) a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7020054 - 7020063 - j**2 + 3*j**2. Give a(5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(612)*3 + 1 + sqrt(1088) + sqrt(17) + -1 - (sqrt(204)\/sqrt(12)*-1 + sqrt(17) + sqrt(833)*2)).\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -13*x**2 - 1\/5*x**5 - 3\/8*x**4 + 0*x + 0 + 0*x**3. Find the second derivative of d(v) wrt v.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 132?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10*w + 6*w = 17, 6 = -2*w. What is the nearest to -1\/4 in 1\/3, -4, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - 2*n + 2*n**4)*(-2 - 1 + 7) + (0 + 5 - 3)*(-2*n**4 + 4*n**4 - n**4) in the form q*n**2 + f*n + j*n**4 + r + i*n**3 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1200\/11 + -109. What is the common denominator of i and -101\/26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8048939?\nAnswer: 17, 27851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - (10 - 12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 41 = 5*p + 1, -5*j = p - 28. Suppose -25 = -p*r - 10. Suppose 15 = -r*f + 195. Round f to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2859, -5722, -8585, -11448, -14311?\nAnswer: -17174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4105943.\nAnswer: 4105943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 11:45 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -1.6 (b) -2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + b**3 + b**2 + (61*b - 18*b - 25*b)*(2*b - 2*b**2 - 2*b) - 2*b**3 + 2*b**2 - 2*b**2 + 8*b**3 + 2*b**3 - 2*b**3.\nAnswer: -29*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 9:23 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 66\/(-15)*-5 + (-8)\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11, 479, 1263, 2363, 3779?\n\"Answer: 158*g**2 - 6*g - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 397 and 402 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s + 23*s = 147420. What are the prime factors of s?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -372*y**2 + 10*y + 288. Let b(x) = 372*x**2 - 11*x - 314. What is -11*b(j) - 12*q(j)?\nAnswer: 372*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**4\/12 - r**3\/3 + 17*r**2\/2 + 31*r - 3. Suppose 4*i + 0*i = 36. What is the tens digit of l(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.043 + -0.057. Which is bigger: k or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = -0. Let g = 10 + -5. Calculate the least common multiple of d and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/18 and (-4)\/6 - (-880)\/384?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 363 + -344. Which is bigger: j or -0.06?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 45526*z**3 - 13 - 10 - 1.\nAnswer: 45526*z**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*c - 9*c**3 - 305*c**2 + 305*c**2 wrt c.\nAnswer: -54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 353*k**6\/24 - 703*k**3\/6 - 2174*k**2. Differentiate y(h) wrt h.\nAnswer: 5295*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, 266, 45, -4 in descending order.\nAnswer: 266, 45, 4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 16) to base 9\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2.6. Let i = 0.45 - y. Let k = 437 + -436.6. What is the nearest to i in -2\/5, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-42660)\/225*150\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 612624 and 1632.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2 - 12360699*v + 24721394 = 0.\nAnswer: 2, 12360697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-27))\/((-1360)\/96)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10596522 (base 10) in base 15?\nAnswer: de4a9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3303433013 (base 5) in base 6?\nAnswer: 412005231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458 = w - 461. Solve -4*t = -w*t - 3*h - 1, -3*h = -5*t - 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 y when three letters picked without replacement from {k: 1, s: 9, y: 4}.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.78 * -126\nAnswer: 98.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 143*m**2 + 28171*m + 1. Let x be r(-197). Let c be (-188)\/(-279) + 2\/(-3). Are c and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -191*o**2 - 8630*o + 8630. Give x(1).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/9 - 26096*a**3\/9 + 33402058*a**2\/3 - 10394854792*a + 10383723672 = 0.\nAnswer: 1, 1371, 5838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**2 + 7020*y - 664385 = 0.\nAnswer: -1493, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g. Let x(n) = -34545*n. Give p(x(b)).\nAnswer: -69090*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7078076.\nAnswer: 2, 41, 43159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1262 is divided by 1237.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 - 0.06. Let d = w + -0.98. What is the closest to d in -3, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1259347 or 1259346?\nAnswer: 1259346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2683*p - 5811 = 746*p. Let -88\/17*j + 14\/17*j**5 + 124\/17*j**2 + 16\/17 - 2*j**p - 32\/17*j**4 = 0. Calculate j.\nAnswer: -2, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from wga?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2077388, -2077389, -2077390?\nAnswer: -2077391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1059 - -1730. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 444 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/3)*b)**22\/(b*(b\/(b*b**(-1)))\/b*b)**19)\/(((b*b**5)\/(b**(-2)\/b))\/(b**7\/b**(1\/5))) assuming b is positive.\nAnswer: b**(-163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bczccbgccccb. What is prob of picking 3 b?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3009*b + 2978*b + 248 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 398994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 14 = 3*d, 0 = 4*p + d + 2*d - 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 134, 143, 154, 167, 182, 199, 218?\n\"Answer: s**2 + 6*s + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106608 is divided by 3125?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {t: 2, l: 3, m: 6, u: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37599*a**2*h**2 - 32605*a**2*h + 3*a*h**2 wrt h.\nAnswer: -75198*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -4*k + 130. What is the remainder when 754 is divided by k?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(7\/3)*u**(-4\/7)*(u**(-1\/2))**(-1\/4))\/((u\/u**(2\/3)*u*u*u)**(-23))**(1\/4) assuming u is positive.\nAnswer: u**(1179\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + 0*l**3 - 4*l**3 + (0*l + 0*l + 5*l**2)*(-4*l + l + l) - 42*l**3 - 44*l**3 + 90*l**3 to the form k*l**3 + i + y*l + q*l**2 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epuupuupqeuuquu. What is prob of picking 1 u, 1 p, and 2 q?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, l: 5}. What is prob of sequence yll?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11\/(-33))\/(1\/117) - -1. Let x(b) = b**3 + 39*b**2 + 37*b - 34. Let a be x(z). Put -2, 2, a, -28 in increasing order.\nAnswer: -28, -2, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 718375 + -3?\nAnswer: 718372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a - 3. Determine u(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/(-6))\/((-1)\/(-3)). Suppose r*g = -4*g + 14. Calculate the greatest common factor of g and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 4 (c) 1\/4 (d) 45.9 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9812 and 8697?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11046137?\nAnswer: 31, 356327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(90)\/sqrt(36))\/(sqrt(50)\/(sqrt(160) - sqrt(10) - sqrt(10))).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/1 + 0 + 1. Which is the closest to u? (a) -9 (b) 2\/13 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 6256198.\nAnswer: 31280990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.209 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1243 and 297846417?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(704)*1 + sqrt(704) + 5 + 2*sqrt(110)\/(-1*sqrt(40)).\nAnswer: 8 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 32*v - 160. Calculate the remainder when 472 is divided by t(20).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*u + 4*u - 2*t, -59 = -5*u + 4*t. Solve 5 = -2*q + u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 3\/7 (b) -3 (c) 0.054 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 155? (a) 0.4 (b) 3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -52672, -105326, -157962, -210580?\n\"Answer: 9*o**2 - 52681*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37*c + 148 + 1 + 30*c + 7*c + 35 wrt c.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(363) - sqrt(363)*-2*2)**2 + ((sqrt(363) - sqrt(363)*3*5) + sqrt(363))**2 - (2 + (2*sqrt(363))**2 + 4)*-6).\nAnswer: 237510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 6. Let g = 9.3 + f. Let a = 2\/5 + -4\/35. What is the second biggest value in g, -2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 3*c + 2. Let s(m) = 0 - 2 + 0*m**2 + m**2 - 2*m + 3. Calculate 3*s(g) - 2*v(g).\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 11. Suppose -5*p + 0*p = -25. Suppose c - 11 = 2*l + 1, p*c - 48 = 4*l. Calculate the remainder when c is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**8\/224 + o**7\/35 - 3*o**6\/80 - o**5\/10 + o**4\/4 - 154*o**2. Suppose w(x) = 0. Calculate x.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-1\/5)*p)*p**13*p)**(3\/34) assuming p is positive.\nAnswer: p**(96\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -484 (base 11) to base 7\nAnswer: -1452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**5\/20 + d**4\/4 + d**3\/3 + d**2\/2 - 3*d. Let j be (24\/(-32))\/((-14)\/16 + 1). Let r be j\/(-8)*-6*(-6)\/(-9). Give n(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 3 + 3)*(0 + 0 - 2*j**2) - 3*j**3 - 64*j**3 - 33*j**3.\nAnswer: -102*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**2. Let a(u) = 94 + 2*u**2 - 94. Calculate a(j(f)).\nAnswer: 50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7*s)\/(s*s**(-16\/9)*s) assuming s is positive.\nAnswer: s**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2610 - 2527. Which is the biggest value? (a) -2 (b) -0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microsecond in nanoseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**2 + 26*s - 68. Calculate w(5).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 10303470?\nAnswer: 10303464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1339*f**4 - 34 + 116*f + 1347*f**4 - 67*f**2 + 10*f**3 + 1338*f**4 - 26 - 4023*f**4.\nAnswer: (f - 2)**2*(f - 1)*(f + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*o - 16*o - 5824 + 22154 = 0. Calculate the greatest common factor of o and 24566.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*k + 21*k - 89*k + 70. Let 0 + 7\/2*q**4 + 9\/2*q**3 + 1\/2*q + 5\/2*q**k + q**5 = 0. What is q?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 m when three letters picked without replacement from ijmmjiymhi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -1)*(-10)\/4. What is the greatest common divisor of b and 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**3\/2 - c**2 + c. Let w(y) = -7*y - 5. Let k = 71 + -75. Let h = 156 + -147. Determine h*v(q) + k*w(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -3\/5 (c) 4 (d) -0.1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 - 76. Does 24 divide 18\/(d\/(-27)*6\/19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 d when four letters picked without replacement from {d: 4, f: 2, t: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1129 and -1.\nAnswer: -1129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -15 + (3 - (0 - 0)). Let s = 16 + k. Let t(d) = -d + s*d - d. Let m(f) = -25*f. What is t(m(l))?\nAnswer: -50*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7149 and -15.0692?\nAnswer: 107729.7108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p. Let f be n(-6). List the prime factors of 168\/9 + f\/9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/13 + 1\/13. What is the closest to -6 in -0.5, o, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 6 = 0, -4*p + 5*a = -2*p - 29. Let q be (-8)\/(-14)*49\/14. Suppose 2*y - 100 = -q*y. Calculate the remainder when y is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -2*n - 30. Suppose 3*a - 79 = -5*l, 6*a - 4*l = 113 - 25. Calculate the highest common factor of n and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2.5. Let y = 37 - 25. Suppose -3*q + 3 = -y. Which is the biggest value? (a) u (b) -1\/6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7608183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 16 = 3*k. Suppose 0 = 3*v - k - 2. Suppose -42 = -3*l + j - 5*j, 0 = v*l + 2*j - 46. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**5\/7 - 54*z**4\/7 - 4*z**3\/7 + 390*z**2\/7 = 0.\nAnswer: -5\/2, 0, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -2. Let s be 84\/140 - ((-2552)\/5 + -2). What is the smallest common multiple of ((-8)\/(-12))\/(h*6\/s) and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 128884884 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 14670.\nAnswer: 14670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 9*t**2 - 7*t - 1. Suppose 0*f = -3*f - 6. Let q be 51\/6 + (0 - (-1)\/f). What is u(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 - 791200*a**3 + 2373576*a**2 - 2373568*a + 791188.\nAnswer: 4*(a - 197797)*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 3*x**2 + 0*x**2)*(71*x - 22*x - 34*x) + (10*x - 2 + x - 8*x)*(-4*x + 6*x - 5*x - 8*x**2).\nAnswer: -9*x**3 + 7*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14802580 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: (-24647)\/(-6930) + -3 - 14484\/26554\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -236 and 208.87.\nAnswer: -49293.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 37*n**3 + 14*n**2 + 16*n - 14. Let v(o) = -31*o**3 - 12*o**2 - 15*o + 12. Determine -5*l(w) - 6*v(w).\nAnswer: w**3 + 2*w**2 + 10*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 2*w**2 - 1. What is the remainder when (0 - 115\/10)*-8 is divided by q(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 + -55. What is the remainder when 152 is divided by g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1967 - 9824 = -34*s + 256*s + 10125 for s.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5 - t**2 + 12 - 13*t + 13 - 4. Let h be x(-11). What is the highest common factor of h and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuuf when four letters picked without replacement from fuuffqffffqffqf.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 384*f**3*w + 3*f**3 + f**2 + 46*f*w - 4826*f - 2*w wrt w.\nAnswer: 384*f**3 + 46*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210 by -5.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -15*b + 1017. Let x(u) = -9*u + 679. Determine 8*x(w) - 5*y(w).\nAnswer: 3*w + 347","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16184, -16192, -16204, -16226, -16264, -16324, -16412?\nAnswer: -16534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 26. Let o(m) = m**3 - m**2 - 10. Calculate o(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-460)\/(-15) + (-3 - -1). Let j = g - 424\/15. Is j greater than -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 4*s**3 - s - 2*s**3 + 294 - 643 - s**2 + 341 in the form m*s**2 + n*s**3 + f*s + z and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 26*k**2 - 29*k + 54.\nAnswer: (k - 27)*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1 + 2 - 4*n - 3 - 1 + 8. Let k(w) = 2*w**2. Calculate k(b(j)).\nAnswer: 32*j**2 - 112*j + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25.1413 or -2\/87?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 766459 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5138*w - 10165. Determine t(-2).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 508365 and 621335.\nAnswer: 5592015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t + 17*t - 8*t)*(5*t + 0*t - 3*t + (2 + t - 2)*(3 - 1 + 12))*(-27 + 27 - 3*t**3).\nAnswer: -768*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -290*f**2. Let w(v) = 78*v - 1. Let k(a) = 1164*a - 15. Let y(t) = -k(t) + 15*w(t). Determine j(y(q)).\nAnswer: -10440*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, b: 8, i: 1, l: 1, s: 3, m: 2}. What is prob of picking 1 l and 1 s?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 2*k - 22. Let y be d(-12). Let x = y - 214. Suppose -29 = -n + 5*u, 0 = 5*n + 2*u - u - 93. What is the greatest common factor of n and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = a + 29, -2*a - 18 = g - 15. Solve -2*k - l = 8, -g*k + 0*k + 5*l - 35 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6364, 12730, 19096, 25462, 31828?\n\"Answer: 6366*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 158351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 2*g**5\/5 - 3*g**2. Let f(n) = -n**2. What is t(f(k))?\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxdbxblc. Give prob of sequence xx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1011102201221 (base 3) to base 8\nAnswer: -2270352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -683955.\nAnswer: 2\/75995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1336164765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**3 + v**3 - 50*v**4 + 0*v**3 - 10 + 2*v**2 - 2*v + 66 + 46*v**4 to the form b + n*v + z*v**2 + j*v**4 + m*v**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15535689, -15535685, -15535681, -15535677?\n\"Answer: 4*u - 15535693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4423 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(50))**2 + -5 + 2*((sqrt(8)\/sqrt(4) - sqrt(2) - sqrt(2)) + 0).\nAnswer: -2*sqrt(2) + 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*q + 190*q - 28980 = 0 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m, 9*m - 4*m + 2 = -4*p - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18456 rounded to the nearest one hundred?\nAnswer: 18500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 4*s - 238 = -174, 5*s + 185 = -60*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 - 12879\/2226?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 24497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + (2 + sqrt(432))**2) + (sqrt(432) + (((-1*sqrt(432)*3)**2 - sqrt(432)) + sqrt(432) - sqrt(432)))*-1.\nAnswer: -3008 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3193146 + -3192026.43256. Let t = h + -1238.567313. Let j = -119 - t. Round j to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 218 (c) 1200\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -11*u**2 - 123*u - 74. Determine t(-8).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.4, 0, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 27*b - 1105. Calculate q(41).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 201.69?\nAnswer: 100.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2. Let d(x) = -x**3 - 17*x**2 - 15*x + 18. Let o be d(-16). Let f(z) = 3*z**2 - 2*z**o + 7*z**2. Calculate y(f(k)).\nAnswer: -64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*p + 10*i - 6*i, -p - i = 7. Is p not equal to 56\/169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -55594*s**2. Let c(z) = -20*z**2 + 8. Calculate c(f(d)).\nAnswer: -61813856720*d**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11136 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4841155843?\nAnswer: 4841155843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 6)*(302*v**4 + 164*v - 594*v**4 + 294*v**4) as b + c*v**3 + a*v**2 + j*v + y*v**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 151425 not equal to -367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, 8, 1, 0, -88 in descending order.\nAnswer: 9, 8, 1, 0, -1, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 7*u - 6. Let t be n(5). Solve 0 = -2*q + 3*k, -t*q + 2*k + 13 = 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 49. Which is the closest to -0.2? (a) u (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -1.6. Let v = -1.46 + f. Round v to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**2 - 14*j + 78. What is the units digit of q(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 20. Let f(u) = 2*u + 2. Let a(z) = 5*z + 5. Let d = -24 - -15. Let v = 6 + d. Calculate t*f(w) + v*a(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.985. What is s rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 468*w**3 + 23*w**2 + 23*w + 28. Let j be b(-17). Round j to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 17*i**2 - 150*i - 623. Let v be o(-8). What is the nearest to -0.1 in 4, -3.95, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2022540 - -222?\nAnswer: -2022314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 17. Suppose -4*i + 8 = -b. Is -1\/3 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + g + 9 = -3, 4*i = 5*g + 5. Let z(w) = 100*w - 51. Is z(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 + 2*k - 5. Let i be y(5). Let w be -1 + -1 + -1 + -34. Let n = 58 + w. What is the highest common divisor of n and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*i + 2 - 11 = 0, -r - 4*i = -2. Let k = 308 - 307. Suppose 3 = 3*x, 5*l + 3*x = -17 - 5. Put l, k, r in increasing order.\nAnswer: l, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -24873 and -7.5964.\nAnswer: -24880.5964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 476\/(-77) + (-2)\/(-11). Let s(l) = -l - 4. Determine s(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuulxuuxxw. What is prob of sequence xw?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9010533 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9982 a factor of 423781227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*x + 311 = 15 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -502416 to the nearest 1000.\nAnswer: -502000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 130 - -11?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7352 + 7352.2. Sort 0.62, p, -0.2, 2.5 in ascending order.\nAnswer: -0.2, p, 0.62, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197 + 187. Sort 5, r, -3 in increasing order.\nAnswer: r, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472423 = -25*z + 709827. What is the thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 2 - (8 + (70 - 59)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.4 (c) -0.2 (d) 0.8 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-38)\/(-4))\/(20964\/2328 - 9)?\nAnswer: 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6374766614 to the nearest integer?\nAnswer: 79842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 179*v - 8176. What is c(45)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 611236*o.\nAnswer: -4*o*(o + 152809)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*l = 130*l - 21. Sort 0, -10, l in decreasing order.\nAnswer: l, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 215 = 5*l - 8*y, -4*l + 5*y = -172. Let m = -109180 - -109370. Calculate the remainder when m is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 2*k**2 - 15*k - 28. Let a be o(8). Let f(c) = c + 12 - 44 + a + 11. What is f(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (306 - 315) + (0 - -41) + 4 + (1 - 2).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6336) + 1)**2 + (sqrt(5324)*-3 - sqrt(44)) - ((1*sqrt(44)*2)**2 - (sqrt(44) + sqrt(176) + 1 - sqrt(44)))*-3.\nAnswer: -32*sqrt(11) + 6862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 9. Let r be i(9). Let y be r + -1*6\/(-2). Let p = -641 - -650. Solve y - p = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -8. Which is the closest to 0? (a) -0.2 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -3, 1431, 33, 39 in decreasing order.\nAnswer: 1431, 39, 33, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*d + 23 - 446 = 0, -3*s + 647 = -2*d. Let w = s + -2406\/11. Let l = -19.5 - -19. Which is the closest to 2\/3? (a) l (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -3\/94 (c) -5.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*z. Suppose 4 = 2*n - 3*k, z = -3*n + 2*k - k + 6. What is the third derivative of 5*f**6 - 4*f**2 - n*f**6 + f**2 wrt f?\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26*1\/(-4)*(-26)\/(-13)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 5 = -3*l, -5*t - 4*l = -16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 501 + 1500 - 495 - 504.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9373.9999996561 - -9374. What is g rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**5\/20 - 5*p**4\/6 - 4*p**3\/3 + 3*p**2 + 23*p + 21. Let w(u) be the first derivative of l(u). Does 9 divide w(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 5*o**2 - 6)*(-8*o + 2*o - 6*o + (11*o - 3*o + 11*o)*(-2 - 1 + 2) + 0*o + 4*o + 4*o) to t*o**2 + c + j*o**3 + x*o and give j.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 15*y - 270 = -4*h - 0*h, 338*h - 2*y = 343*h + 2*y + 72 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 13*t - 13. Let n be y(9). Suppose -58 - n = -3*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = 15. Let g = x + -2. What is the nearest to g in 1, -0.5, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -19608\/25 = -784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 1:36 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -226328.294 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006196 to 4 dps.\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*i**5 + 1360*i**4 + 4096*i**3 + 4288*i**2 + 960*i = 0.\nAnswer: -6, -2, -10\/33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 145009 = 11165740\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133, -5, -2, 4 in decreasing order.\nAnswer: 4, -2, -5, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 7 = -3*p, 0 = 42*t - 43*t + 5*p - 7 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -149, 2, 1, 4, -8 in increasing order.\nAnswer: -149, -8, 1, 2, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 2. Is 15 a factor of 356\/8 - w\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1929 (base 13) to base 14\nAnswer: -1521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/5 (b) -22 (c) 3\/4 (d) 51 (e) 55085\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 + 17065*r\/3 + 302418.\nAnswer: -(r - 17118)*(r + 53)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxiq when four letters picked without replacement from {d: 1, o: 4, q: 1, i: 1, x: 1}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53508194 is divided by 66223.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j**2 - j**2 + 1567*j - 787*j - 780*j - 12*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-283*i**4 + 179*i**4 + 181*i**4)*(5 + 0 - 1)*(-i - i + i).\nAnswer: -308*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 161\/2, -3\/2, 0, 5, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + -6*sqrt(14)\/sqrt(2) + sqrt(77)\/(sqrt(33)\/sqrt(3)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 7*p**2 + 3*p + 5. Let t be q(-7). Let m be (-4)\/t + 38\/8. Suppose 5*r + 0 = m. Put -2, r, -3 in descending order.\nAnswer: r, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 23 + (-9 - 29) + (-3 - -58)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 94*f + 253*f**2 - 24*f + 3 - 28*f - 19*f - 26*f. Let k be 2\/(-4) - (-6)\/4. Let y be c(k). Calculate the highest common divisor of y and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100 - 22?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/2090 and 57\/10.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.9 (b) 2 (c) 90 (d) -5 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57284.49 millilitres to litres.\nAnswer: 57.28449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 66*a - 172. Let t(m) = -m**2 - 44*m + 115. Let k(p) = 5*g(p) + 7*t(p). Let r be k(5). Let d(b) = b**2 - 6*b - 3. Calculate d(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 18 = -5*n, -26*o + 30*o - 84 = 5*n. Solve -28*k - 39 = -o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 divided by -8?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/117936 and 23\/252.\nAnswer: 117936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g**2 - 3*g. Let u be t(-3). List the prime factors of -6 + u + (1 - -2).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 60. Let w(v) = 20*v**3 + 2*v**2 - 1. Let t be w(-1). Let d = t + a. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 22 = -4*j, 0*q - 4*q + 2*j + 54 = 0. Let y = -64 + -66. Let m be ((-2)\/(-4) - 1)*y. Calculate the highest common factor of q and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21864 divided by -2733\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -519877*d - d**4 + 1039762*d - 519878*d + 16*d**2 + 25*d**2 - 5 as p*d + c*d**4 + y + s*d**3 + g*d**2 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v + 16. Let j be z(-4). Suppose -4*t - 220 = -4*g, -t = -j*g + 79 + 144. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/15, 4\/21, -3\/2 in increasing order.\nAnswer: -3\/2, -1, -2\/15, 4\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*z**2 + z**2 + 27*z**2 to the form k*z**2 + s*z + o and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5700125 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119 + -232. Let b = d + 115. Let w = -0.9 - 2.1. Put b, -2, w in decreasing order.\nAnswer: b, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1487166*t**2 + 2971843*t**2 - 1484680*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(8)\/(sqrt(4) + (sqrt(324)*1 + sqrt(324) - sqrt(324))))**2.\nAnswer: 4*sqrt(2)\/5 + 801\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*x + 350 - 363 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(25\/4)*n**(3\/5)\/n*(n**(-4\/3))**(-4\/3) assuming n is positive.\nAnswer: n**(1373\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + -62. Solve 0 = -k - 2 + b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpahhpdhadadapappdad. What is prob of picking 1 h, 1 a, and 1 p?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 15, x: 5}. Give prob of sequence xii.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21.6381*-1.2\nAnswer: -25.96572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**6\/80 - f**5\/16 + f**4\/8 - 2*f**3 - 27*f**2. Let l(r) be the first derivative of u(r). Factor l(v).\nAnswer: -3*(v + 2)*(3*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5667765, -11335528, -17003291, -22671054, -28338817, -34006580?\n\"Answer: -5667763*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 68*w**2 - 8*w + 6. Let c(y) = -70*y**2 + 7*y - 5. Give -5*c(z) - 4*r(z).\nAnswer: 78*z**2 - 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 431595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4638 = -w, -3*y + 2788 = -w + 3*w. Suppose 0 = -0*q - 8*q + y. What are the prime factors of q?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.048339 times -11\nAnswer: 0.531729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1.04. Let a = 0.08 + f. What is a rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 16*u**2 - 445*u - 83. Let c be s(28). Let p(h) = 14*h. Determine p(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -222 + 224. Factor n**3 - 256*n**j - 260*n**2 + 499*n**2 - 64 + 80*n.\nAnswer: (n - 8)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3106 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1295 and 5.\nAnswer: 6475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1744179584 to the power of 1\/3, to the nearest integer?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 10:03 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273060184.\nAnswer: 2, 11, 37, 390989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -172*v + 170*v. What is the units digit of v\/20 - 1123\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2477.\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36431 + -17009. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -126*r**2 - 4*r - 4. Calculate q(-2).\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 662*0.192988.\nAnswer: 127.758056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 186033.74 rounded to the nearest 100?\nAnswer: 186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 85*b**2 + 545*b + 9. Determine z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9410 divided by -6.\nAnswer: -4705\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5.5+-56433628732\nAnswer: -56433628737.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - ((5 - 6) + -7 + -6)) + -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 2233*t**2 + 35980*t - 9. Determine s(16).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**3\/30 + 559*o**2\/10 - 6725. Factor v(b).\nAnswer: b*(b + 1118)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -108, -185, -282, -399, -536, -693?\nAnswer: -870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999019 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 33*n + 114. Determine z(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12479 is divided by 160?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-8)\/(-192)*-6*8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*s = -s - 26, 18 = 2*f - 5*s. Suppose 0 = -7*w + f*w + 39. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 348 and 2718?\nAnswer: 157644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8971 (base 12) to base 3\nAnswer: -202212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -5.8, -2\/13?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -46*t - 145. Let y(o) = 19*o**3 - o**2 + 4*o - 3. Calculate the remainder when y(2) is divided by w(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 169 - 267 - -82 - (0 + (-3 - (-2 - -1)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2. Let w(r) be the first derivative of 466*r**2 - 170. Calculate b(w(x)).\nAnswer: -868624*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25224516 to the nearest integer?\nAnswer: 5022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j + 2*j**2 + 3*j - 5300 + 5296 as n + f*j**2 + d*j and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/6)\/u)**(1\/21)\/(u\/u**(3\/2))**31 assuming u is positive.\nAnswer: u**(976\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*(-11)\/(-44)*84\/(-294)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -56. Suppose -5*m + 97 = 5*w - 28, w = -2*m + v. Let t(b) = -16*b + w*b + 6 - 13*b. What is t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 36*y**3 - 23*y**2 - 18*y + 54. What is the thousands digit of d(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189909 to the power of 1\/2, to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysssssssssyssys. What is prob of sequence ysy?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 7:01 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8*b**2 - 2*b - 1. Let g be a(-1). Let i(n) = -6 + 0 - 6*n - 7. What is the tens digit of i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6615 <= 574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 99*c - 63. Let j(k) = -14*k + 9. Determine -27*j(b) - 4*m(b).\nAnswer: -18*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q - 13. Let y(s) = s + 4. Let f(r) = 2*u(r) + 7*y(r). Determine f(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4945 = -775*c + 15205 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -626*k**2 + 4*k - 1233?\nAnswer: -1252*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 6:14 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851207482.\nAnswer: 2, 425603741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 74\/(-703) - (13032\/57)\/(-6). Calculate the greatest common divisor of u and 32794.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**4 + 26251*o**3 + 2*o**2 + 562030.\nAnswer: 8*o**3 + 78753*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -27\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -0*s + 5*s - 18, -2*s + o + 3 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iic when three letters picked without replacement from {o: 6, c: 7, i: 3, h: 1}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2039049737 to the power of 1\/3, to the nearest integer?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 + -269 + 292 + 1 + -2.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1223*z - 1177. Let v be k(-1). What is the fifth biggest value in v, -2\/9, 0.1, 4\/5, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + (-24)\/10)\/(2\/(-20)). Suppose 2*f = -3*f. Solve f*o - 4*l + 4 = n*o, 0 = 4*l - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p - 43. Let l be f(7). Let n be (-5 - l)*28\/(-16). Solve -5*x - n = 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/n)**(-1)*(n**(-1\/3)*n)**(-17)*(n\/n**(2\/9))\/n*n\/((n\/(n**3*n))\/n)*(n**1)**(2\/77) assuming n is positive.\nAnswer: n**(-2446\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 68, 86, 112, 146, 188, 238?\n\"Answer: 4*k**2 + 6*k + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by 10491\nAnswer: -110\/10491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*x - 3*h - 1, 0 = 4*x - 2*h - 6. Let a be (56\/4 - 1)\/x. Let w = a - 12. Calculate the greatest common factor of w and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 0 + (-57 - (-17 + -37))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 19392*j - 909220. Calculate o(-47).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*m + 320*m + 855*m - 32025 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17156, -17241, -17338, -17453, -17592?\nAnswer: -17761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**8\/20160 - v**7\/105 + 4*v**6\/5 + 7*v**5\/5 - 35*v**2. Let j(h) be the third derivative of s(h). What is z in j(z) = 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/14)\/((-8)\/(-28)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 125820 = -0*y. Let f = 503399\/20 - y. Find the common denominator of (((-7384)\/(-16))\/(-13))\/3 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -2 - (-3 + 3) - -9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 72.1, 116, 10, 2, 5, 2\/9 in ascending order.\nAnswer: 2\/9, 2, 5, 10, 72.1, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecbc when four letters picked without replacement from {b: 1, e: 1, f: 1, c: 9}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -12. Let n be (0 + w)*0 - 3. What is the tens digit of (9 + n)*(-14)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v + 1111 = -217*v - 3135 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**5 - 10*p**4 - 190*p**3 + 40*p**2 + 505*p - 350 = 0. What is p?\nAnswer: -5, -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from {i: 1, y: 5, z: 1, d: 5, q: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + -4)\/(3 - 5). Sort 0, 3, i in decreasing order.\nAnswer: 3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 3*o**2 - 2*o + 2. Let n be c(-3). Suppose -3*r - 6 = -3*d, 5*d - 2*r = r + n. Let a = 6 + d. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 7, p: 5}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcccggcccgcccjcccg. What is prob of sequence gjc?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6396985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 3*z + 18, 14 = -5*g + 5*z - 6. Suppose 2*r = -2*v, -g = 4*r + 2*v - 5. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 1757742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -56\/47 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21601248 is divided by 653.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 70*r**2. Let w(g) = -12*g. Give w(u(s)).\nAnswer: -840*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71.59 or 110\/7?\nAnswer: 110\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 7*g**2 + 4*g - 1. What is f(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12616 and 130891.\nAnswer: 1047128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 218190 and 714?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 11 + 21 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40597\/56 + 5803\/8. Factor -3\/7*s**5 - b*s**4 + 6\/7*s**3 + 0*s + 0*s**2 + 0.\nAnswer: -3*s**3*(s - 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*m**5 - 59650*m**3 + 19761*m**2 - 3*m - 1 wrt m.\nAnswer: -300*m**2 - 357900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3648*g. Let u(t) = 4180*t**2. Determine o(u(r)).\nAnswer: 15248640*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3344.028 + -7.028. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pprprppp?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 1:25 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 55, 109, 179, 265, 367, 485?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 13*w - 3. Let h(m) = 13*m - 4. Let d(j) = -3*h(j) + 4*p(j). Let v(t) = t. Give d(v(i)).\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-952)\/(-6188))\/(1\/(-13))*16.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**2\/2 + 3*a - 3. Let k = 5786 + -5784. Determine m(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(13\/(-5) - (-3)\/5). Factor 2\/13*f - 2\/13*f**2 + g.\nAnswer: -2*f*(f - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(1\/(-5))\/(5\/(-25)). Suppose 4*l + 5*p = 25, l - 3*p - 5 = -20. Solve u*i - i = l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9990 + -11?\nAnswer: 997c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6389 bigger than -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 44\/21)\/(32\/(-192)). Let h = -10.44 - -0.44. Which is smaller: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*h**4 - 3*h**4 + 0*h**4)*(-3 + 2 + 0)*(-1 + 1 - 1) as g*h + o + x*h**3 + i*h**2 + a*h**4 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12063 equal to 12206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 8*y**2 + 3*y - 10. Let b be c(-9). Suppose -122 - 10 = -2*t. Calculate the greatest common divisor of b and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 37346*w + 112029.\nAnswer: (w + 3)*(w + 37343)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -164946106.\nAnswer: -4\/82473053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5604, 5673, 5794, 5973, 6216, 6529?\nAnswer: 6918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 14*m**2 + 62*m - 15. Calculate t(4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -590024, -589996, -589952, -589892, -589816, -589724, -589616?\n\"Answer: 8*y**2 + 4*y - 590036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7))**(-42)\/(i**(15\/7)\/i*i)**(-21) assuming i is positive.\nAnswer: i**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19162111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -19.2. What is the closest to -0.1 in v, -2\/13, 2\/11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -6 (c) 9 (d) -7 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 806489\nAnswer: 1\/806489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 11. Give c(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146195, 5, -5, 4, -4.\nAnswer: -146195, -5, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7711 + 3851 + 3860 - 20076*r to f*r + k and give f.\nAnswer: -20076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 6*a + 65. Let k(p) = p + 28. Let f(m) = 6*m + 142. Let x(l) = 3*f(l) - 16*k(l). Let v(b) = -2*w(b) - 7*x(b). Let v(r) = 0. What is r?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 8. Let m be d(-8). Let x = 925 + -379. Suppose m = -2*o + 256 + x. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*a**2 + a**2 + 9*a**2 + 3*a**2 to the form m*a + w + h*a**2 and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 503902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1868555, 1868557, 1868553, 1868537, 1868503?\nAnswer: 1868445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -2756 - -4621. Let l = q + -13079\/7. Find the common denominator of l and 45\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 15.0064763\nAnswer: -15.2064763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71\/203 - 6\/29. Which is the third biggest value? (a) -1\/4 (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -11*a. Let s(n) = -1667*n - 1. Give o(s(v)).\nAnswer: 18337*v + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 15 - 30)*(2 - 4 + 1)*(-2*x + 4*x + 1 + x) - x + 2*x + 0*x as n + a*x and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 2. Let x be w(-10). Suppose 8 = -4*t + x*t. Suppose 5*c = -35 + 10, t*c - 2 = -2*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -7. Suppose 4*x + n = -0, -4*x + 26 = 5*k. What is the remainder when 18\/(-4) - (111254\/(-132))\/13 - 8\/6 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b**2 + 611*b - 300*b - 15*b**2 - 267*b - 87*b**2.\nAnswer: -75*b**2 + 44*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1929 = o, 1290 = -2*w + 7*o - 9*o. Let c = -311 - w. List the prime factors of c.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 350013 - 5245993\/15. Let f = u - 280. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2. Let i(p) = -16*p + 47. Let d(m) = 3*m - 10. Let u(j) = 11*d(j) + 2*i(j). Let a(z) = -6*t(z) - u(z). Let s = 7 + -11. What is a(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*m**2 + 28*m - 164\/3.\nAnswer: -(m - 82)*(m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2028859, 2029121, 2029383?\n\"Answer: 262*n + 2028597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -5 (c) -511 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10 - -3)\/((-3 - -1) + 1). Let j(m) = 2*m**2 + 45. What is the hundreds digit of j(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4 - 1\/3*x**2 - 7\/12*x.\nAnswer: -(x + 1)*(4*x + 3)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, p: 5, a: 2, h: 9}. What is prob of sequence ppap?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1262774506 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2260 + 2257. Which is the closest to -0.01? (a) 0 (b) -2 (c) -48\/5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*p + 698*p**2 - 469*p + p**3 - 698*p**2.\nAnswer: p**3 - 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**2 - 16*t**2 + 24*t**2 - 26*t**2.\nAnswer: -31*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 644 + -5?\nAnswer: 63b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43*n**4 + 52*n**4 - 16*n**4)*(-2 + 1 - 3) to the form t*n**3 + i + y*n + b*n**2 + k*n**4 and give k.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 10 + 31 - 40 = 0. Which is smaller: x or -63\/313?\nAnswer: -63\/313","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2837718215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77451 - -120?\nAnswer: -77331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2. Let z(f) be the third derivative of -f**8\/3360 + 7*f**5\/60 - 4*f**2. Let n(g) be the third derivative of z(g). Calculate b(n(l)).\nAnswer: -72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 525, 1050, 1573, 2094?\n\"Answer: -u**2 + 528*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 10*y**2 + 9*y. Let g be q(-9). Let h(x) = -x + 11300001*x**3 + 0 + 1 - x**2 + g. Let f be h(1). Round f to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -4, 7, 5, 2\/3, 802\/7 in increasing order.\nAnswer: -4, -0.5, 2\/3, 5, 7, 802\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 - 24*c**3 + 36*c**2 - 16*c.\nAnswer: 4*c*(c - 4)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 4. What is l(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702*h = 560 + 21202 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -949 + 4694. What are the prime factors of f?\nAnswer: 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(-u + 2*u + 0*u) + (3 + 4 + 1)*(10*u + u - 3*u) + 5 + 2*u - 5 + (2 + 0 - 3)*(2*u - 4*u + 3*u) in the form r*u + i and give r.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1921, -1922, -1923, -1924?\n\"Answer: -p - 1920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) 4 (c) -1 (d) 757748 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754*y - 25 = -759*y - 5*o, 3*y - 4*o + 13 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18939 - 12699 = 29*l + 75*l for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.5252 millennia to decades.\nAnswer: 1552.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170\/9 - 47633\/2520. Find the common denominator of 71\/36 and z.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6816, 6811, 6796, 6765, 6712?\nAnswer: 6631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + d**2 - 2*d + 2. Let b be c(2). Let m = -1 - -4. Solve b = 8*u - m*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109819453 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 24. Put 0.3, t, -3, -11\/9 in increasing order.\nAnswer: -3, t, -11\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + n - 5. Let j be f(-5). Suppose -2*l = -3*l + j. Let v = 43 + 15. What is the remainder when v is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-33)*24\/16 - 0. Let v = 3.01 - 3. Let d = v - 1.01. Which is the second biggest value? (a) 3 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188 and 18.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4134 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 10:27 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 9:32 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + (23 - 22) - (0 - -9)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**6\/30 + 161*q**4\/24 - 218*q**3\/3 + 47*q**2 - 13*q. What is the derivative of v(b) wrt b?\nAnswer: 12*b**2 + 161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (-10 - 25) - (0 - -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 44 = -39. Sort 3, q, -2 in decreasing order.\nAnswer: 3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 u, 1 e, and 1 y when four letters picked without replacement from {y: 2, n: 2, e: 2, c: 1, u: 3, p: 4}.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 + 90*t - 43. What is q(-30)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 227\/1680 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 16 = -2*o + 3*o, 0 = 2*f - o - 8. Suppose -5*y + 57 = f*b, -4*y + 12 = -8*y. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 13) in base 8?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o = -3489 - 4654. List the prime factors of o.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 334, 296, 138, -200, -778, -1656?\n\"Answer: -10*u**3 + 32*u + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 488501265327897 - 0.4.\nAnswer: 488501265327896.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -293 - -173. Let c be ((-86)\/(-6))\/(2\/v). Round c to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 17 - 28. Let s = x - 21. Let a = 15 - s. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/14*(-130)\/(-39)*(-1)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1910778 rounded to 2 dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4433 and 50809?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 2573*b + 10262. Determine f(-4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 663558 and 22?\nAnswer: 7299138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(-1 + 1 + 2)*(162*v - 263*v + 185*v) to x*v + u and give x.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 542526 (base 7) in base 2?\nAnswer: 10111000101111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**3 + v**2 - 2*v + 1. Let c(q) = 13*q**3 - 5*q**2 + 9*q - 3. Calculate 2*c(o) + 9*u(o).\nAnswer: -o**3 - o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 3, 1, -0.1, -1\/23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17613 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 56 (b) -1 (c) 0.037\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/18)\/(-1 + (-20)\/(-12)). Let k(v) = -17*v + 32*v - 14*v + r. Determine k(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 7. Let w = 841 - -284. Suppose 0 = -4*s + 5*n + 917, 4*n + w = q*s + 2*n. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + -3 - (7 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (283*y - 493*y - 363*y)*(-1 + 1 - 1) to the form g*y + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 23424 = -67776. Round h to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-28) - 12\/(-7). Let u(j) = j**2 - 23*j - 2*j**c + 23*j. Let l(p) = 2*p - 4*p + p + 4*p. Determine u(l(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/15 + (-515)\/75. Let v(c) = -c**3 + 2*c**2 - 8*c + 15. Does 38 divide v(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/63 and 103\/1086.\nAnswer: 22806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.437 + 56.563. Put r, 9, -1\/9 in decreasing order.\nAnswer: r, 9, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42, -146, -328, -594, -950, -1402, -1956, -2618?\n\"Answer: -n**3 - 33*n**2 + 2*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3921 (b) 4 (c) -106\/187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 79*g**2 + 42*g**2 - 154*g - g**3 + 79*g + 74*g + 97*g**2 to j*g**3 + d + u*g**2 + i*g and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 112*u - 83. Let t(c) = -33*c + 28. Give -2*l(b) - 7*t(b).\nAnswer: 7*b - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -209244 divided by -4?\nAnswer: 52311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 31\/5 (b) 0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -16876.23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1595451 by -11157.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 607*u - 10808. What is p(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*p**3 + 90*p?\nAnswer: 294*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 12*i**2 - 1480*i + 7549. What is q(118)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18944.2 and -0.1.\nAnswer: -1894.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.75, 1.32, 0.04, 2\/11, 3 in increasing order.\nAnswer: -6.75, 0.04, 2\/11, 1.32, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + 3*a + 4. Suppose -4*y + 9 = -7. Suppose -8*q = -3*q - 3*n, -17 = q - y*n. Determine f(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 - ((-87)\/(-15) + 7) - -4. What is the nearest to -0.4 in 5, s, -4, 31?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 4*z + 3*z)*(-1 + 4 + 0)*(-4*z**2 - 3*z**2 + 6*z**2).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.89 + 12. Let k = i - 0.035. What is k rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*((sqrt(117) - (sqrt(117) - -2*sqrt(117))*3) + 0 + sqrt(117) + -4))**2.\nAnswer: 8064*sqrt(13) + 275952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 5*c - 37*c to the form k*c + g and give k.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdd when three letters picked without replacement from {d: 2, w: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(1 + 13)*-8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from ggiazhszggzszgg?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 + -72. What is the remainder when 155 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29859*h**3 + 61452*h**3 - 30364*h**3.\nAnswer: 1229*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -259, 3, -2, -5, 2.\nAnswer: -259, -5, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)*k)\/k**13*(k**(8\/11)*k)\/(k**(-1)\/k*k) assuming k is positive.\nAnswer: k**(-419\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 22*q**2 + 111*q - 22. Calculate v(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/57*18\/(-15)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 0*j**2 + 0*j**2 + (-3 - 4 + 4 + 1 + 2 - 6 + (-1 + 6 - 4)*(1 - 4 + 1))*(2*j + j**2 - 2*j) in the form r*j + s + h*j**2 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + g - 21, 0 = c - 3*g - 6 - 1. Let t(x) = 13*x - 35. Let d be t(c). Find the first derivative of -89*u**4 - 6 - u + u + d*u**4 wrt u.\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3429720\/1764 + 5\/7 is divided by 964?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 187171 - 40102. Is d\/65 - (-2)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8654.841 micrograms to grams.\nAnswer: 0.008654841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/51 (b) 9 (c) -0.4 (d) 0.023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 202, 206, 210, 214, 218?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b**2\/8 - 89*b\/8 + 15\/4 = 0. Calculate b.\nAnswer: 2\/5, 15\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 - 7*t**3 + 7*t**3 - 2*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 1)*(401 + -422).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8 = 0, 3*o = 2*r - 5*r + 3. Suppose -l + b + 80 = 0, -r*l + 230 = -3*b - 2*b. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2763.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**3 + 3*w**2 - 20*w + 13. Let k(v) = v**3 - v**2 + 10*v - 6. Let t(o) = -6*b(o) - 13*k(o). Let t(x) = 0. Calculate x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*p + 123*p + 7909042 - 7909042.\nAnswer: 175*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -135*r**3 + 2*r**2 - 32*r - 139. What is the hundreds digit of l(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-14)*6*-2. Let a(p) = -2*p + 3. Let l be a(h). Let i = -4 - l. Let q(k) = 4*k**2 - 2*k + 2. Let n(f) = -9*f**2 + 5*f - 5. Determine i*q(g) + 2*n(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(476\/483 + -1) is divided by 63.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -66. Let h be g\/(-5)*275\/(-33). Let b be (10 - h) + 3\/((-3)\/2). Let m(c) = 2*c - 1. Give m(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 20*m**2 - 4*m - 2. Let z(r) = -4777*r**2 - 3*r - 4771*r**2 + r - 1 + 9558*r**2. Calculate -4*a(g) + 7*z(g).\nAnswer: -10*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*a = 1678777 - 1679330 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4601*m + 5104*m + 4589*m - 14295*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9934 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 33*g**2 - 41*g - 16. Is 6 a factor of w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192000 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-3) + (-4)\/12. What are the prime factors of (-1)\/(l\/36*-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/21 - 50*z**4\/21 + 9896*z**3\/21 + 442592*z**2\/21 + 1068672*z\/7 - 660192 = 0. What is z?\nAnswer: -46, -14, 3, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.54918t in grams?\nAnswer: 53549180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 60 = 3*l, -5*x + 4*l + 131 = 25. Let o = 4 - 2. Suppose 41 = g - 3*y, -3*g + o*y = -181 + 30. What is the remainder when g is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1)*6 - (sqrt(5) + 1)*1.\nAnswer: -7 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*w**2 - 12*w**2 - 1 - 169*w + 170*w + 2*w**2 in the form q*w**2 + v + y*w and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -15 (c) -0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17622311 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*b - 23*b - 45*b - 67*b as c + f*b and give f.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -1. Let t(h) be the first derivative of 1\/12*h**c + 0*h + 3 + 1\/9*h**3 + 0*h**2. Let t(r) = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1104*o**3 - 5*o**2 + 5*o + 20. Let z(g) = -182712*g**3 + 828*g**2 - 828*g - 3312. Calculate 828*l(h) + 5*z(h).\nAnswer: 552*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 4. Let g be m(2). Let u be 4647\/(-21) - g\/42. Calculate the common denominator of (-104)\/u*(-22)\/(-8) and -49\/3.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 4*w - 32. Suppose b = -b + w. Suppose -5*p = 2*a - 52 + b, 5*a - 73 = -4*p. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -270*g + 265*g + 30, -3*g + 1 = -d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 407049390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -150\/1121 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, t: 2}. Give prob of sequence tvv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*x + q - 4, 12 = 4*x + 4*q. What is the lowest common multiple of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1598756*g*p**2 - 2*g*p - 30*p - 783 wrt p.\nAnswer: -3197512*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103226 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -36, -36, -38, -42, -48?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 727.0037 nanometers?\nAnswer: 0.00007270037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -22547398.4 to the nearest 10000.\nAnswer: -22550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 173634349565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0505543 to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 11 (c) -6 (d) 2 (e) -10 (f) -2\/449\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*(-5*(sqrt(700) + 2) - sqrt(700)) + -5 + -2)**2.\nAnswer: 14400*sqrt(7) + 404100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 7 = -7*r + 5*r, -5*r = 5*b - 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.04 + 1.4. Let n = -0.24 - q. Put -4, -4\/9, n in decreasing order.\nAnswer: n, -4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 3)*(0 - 1). Let j = 1 + x. Suppose -4*m + 65 = 2*r - j*m, r + 3*m = 36. What are the prime factors of r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3*f + 0*f - 10*f - 9*f.\nAnswer: -22*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 7 - 1. Solve -z + 2*z - 3*u = 13, 0 = c*z - 2*u - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 199.1 and -313.69.\nAnswer: -114.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/18*(3 - 1). Let z = 1.4 - 2. Let v = -0.9 - z. Sort 4, r, v in descending order.\nAnswer: 4, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(-37*p + 79*p - 221*p).\nAnswer: 537*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -19*c**2 - 23*c - 5. Let j be a(-3). Let u = j + 289. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-3))\/(3\/(-207)). Let h = -23 + b. What is the second biggest value in h, 1\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.28 - 21.2. Let j = -0.08 + 0.1. Let g = v + j. Round g to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 81\/10, -1.41, 282?\nAnswer: 81\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/10)*p\/(p\/(p*p**24*p))*p*p assuming p is positive.\nAnswer: p**(279\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -827 - -827.4. What is the nearest to -1 in 3, -13, n, 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**3 - 3*t**2 + t. Let k be b(2). Suppose 4*c - 3*c = -3*g + k, -70 = -4*c + 2*g. Calculate the remainder when c is divided by 18*(7 - 52\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 995 - 430. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137 - -22?\nAnswer: -1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/4 + 3207*z**3\/4 + 547785*z**2\/2 + 25360725*z - 1557579750.\nAnswer: 3*(z - 41)*(z + 370)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.6612188 rounded to two decimal places?\nAnswer: -123.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -220, 0, 2 in ascending order.\nAnswer: -220, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*k - 125 = -3*l, l + 5 = -5*k. Let n(z) = -4 + 17*z - l*z + 0 + 1. Determine n(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*o + 28 wrt o.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.654 - 20461\nAnswer: -20462.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 14*d - 65. Let a be l(5). Suppose 0 = -2*k + 5*k - 78. Suppose 5*j = -20, -4*j + 0 - k = -5*t. Solve -30 = t*b - w + a*w, 10 = -5*b + 3*w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 20*z**3 - 120*z**2 + 3*z - 11. Calculate the remainder when 468 is divided by g(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 61 = 2*l + 3*n, 5*n = -5. Let d = 7 - l. Let p = d - -9. Which is bigger: 12 or p?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (15 - (-6)\/((-36)\/42)) - 10\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137 - -173. List the prime factors of (6 - n\/(-25))\/(4\/410).\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1533 (base 6) to base 11.\nAnswer: -34a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.3 + 3.29999962. What is f rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**8\/168 - 3*p**7\/35 - p**6\/4 + 5*p**5\/6 + 23*p**2 + 56. Let z(a) be the second derivative of m(a). Factor z(h).\nAnswer: -2*h**2*(h - 1)*(h + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 + 85 - 3*v**2 - 83 - 21*v - 3*v**2 to i*v + p*v**2 + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 9 = 0, -2*h + 5*h = -5*b - 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*x**5 - 2*x**4 - 187*x.\nAnswer: -1680*x**3 - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -698, -697, -696, -695?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 11*u + 12. Let y be h(-10). Suppose -g - 4*s + 27 = 0, -8 = y*g - 3*s - 51. Let m(x) = 0*x + 22*x**2 - g*x**2 - 3*x. What is m(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4241505767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 11*j - 2*j. What is the remainder when 64 - (-2)\/(1 + 1) is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.363735 and -0.3.\nAnswer: -6.663735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(-10*11\/3300)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -15, -1\/11, -6\/187, -2\/9?\nAnswer: -6\/187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 2:08 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 248683 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 f = 27 + -25. Suppose 2*g - 16 = -2*n, 5*g - 13 = f*n + 2*n. Solve 5*m - 2 = n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205 and 246?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 697 = -13*q + 12*q. Let m = 492 - q. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2287 is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4, -5*i - 1035 = 5*j - 0*j. Let w = 427 + i. Suppose k - 4*k = -w. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -10. Let u(h) = -h**2 + 3*h - 2. Let f be u(i). Let v be f\/1 - (-7)\/4. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 199*i + 8. Let y(m) = 99*m + 4. Let q(g) = -4*l(g) + 9*y(g). Let v(p) = -96*p - 2. Let t(f) = 5*q(f) + 4*v(f). Differentiate t(a) wrt a.\nAnswer: 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(272\/(-357))*36\/(-42)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzlr when four letters picked without replacement from {r: 2, g: 2, z: 1, l: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**3\/6 - 2*c**2 - 2*c - 31. Determine p(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o\/o**(1\/3)*o)\/o*o*o)*o*o*o**(3\/7))**(-8\/17) assuming o is positive.\nAnswer: o**(40\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4399 divided by 2?\nAnswer: 4399\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 233118719?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m + m + 3*m + (3 + 2 - 1)*((2 + 2 - 2)*(-1 - 2*m + 1) - m + 0*m + 0*m - m + 4*m - 4*m).\nAnswer: -25*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/45618 and 89\/60.\nAnswer: 456180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -526\/27 equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8498109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*z + 60*z + 0 + 211*z**2 + 2 as i*z + n + d*z**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 44422.65192692.\nAnswer: -44422.75192692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -552, -204, 386, 1230, 2340, 3728, 5406?\n\"Answer: 2*x**3 + 109*x**2 + 7*x - 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7296, 11768, 19216, 29640, 43040, 59416?\nAnswer: 78768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - h**2 - 4*h - 3. Let c = 15 - 17. Calculate m(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 24*x**4\/17 + 260566*x**3\/17 - 2107406*x**2\/17 + 4389346*x\/17 - 1238610\/17 = 0.\nAnswer: -10865, 1\/3, 3, 19\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -1541554734?\nAnswer: 1541554732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 6, 27, 68, 135, 234, 371, 552?\nAnswer: 783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 12*f**2 + 216*f - 1736. Calculate j(9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4832, -4850, -4868, -4886, -4904, -4922?\n\"Answer: -18*w - 4814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79029857?\nAnswer: 79029857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 14. Let p be x(7). Calculate the remainder when 13*((-1)\/(-3))\/((-7)\/p) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 35*c - 2 + 2. Let g(l) be the first derivative of l**2 + 10100. Determine j(g(h)).\nAnswer: 70*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/(-28) + -3 + -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76562, 153121, 229680, 306239?\nAnswer: 382798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-165200)\/(-177))\/(-140)*3\/7.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14445 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -302 + 304. Solve -z*w + h + h - 14 = 0, -4 = -h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**3 + 31*r**2 + 4*r - 10. Suppose 140*g - 96*g - 282 = 91*g. Determine n(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5952 divided by -124\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -24) + (-9449 - -9499)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**2 - 11692*q - 35181. Determine j(-3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1061266 and 598.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*v - 348. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 531 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 25 = 5*d - 2, -31 = -5*g + d. Let v(z) = 3*z**2. Let s be v(1). Solve 3*w + g = -s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 8782 - (134\/12 - 10)*6?\nAnswer: 2, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121278 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7.4, 1, -2, -2\/17, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-435)\/(-25)*5\/(-135) and 26\/99.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260158861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*x + 1050 - 1052 + 11*x to the form i + b*x and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -3*x - 392 + 373, -4*p = x + 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*g + 62 - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 12. Let b(l) be the second derivative of -l**4\/12 - 4*l**3\/3 - 3*l**2 - 2*l. Does 9 divide b(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(3*u - 3*u - u**2) + 10 - u**2 - 10.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-5)\/((-5)\/(-2))). Let d(a) be the second derivative of a**4\/12 + a**2\/2 - 2*a. Let r be d(g). Solve 3*b = w - 11, 3*b - 7*b - 18 = r*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Suppose 0*u = -4*u + 12. What is the second derivative of 3*p**u + 2*p - p**j - p**3 wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44630827 to the power of 1\/3, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 966 divided by -322.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -45042*u**2. Let t(j) = 16*j. Calculate r(t(s)).\nAnswer: -11530752*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -1. Let r be -3*((-4)\/a)\/2. Solve r*b + 4*z = -b - 19, 0 = -b + 2*z - 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-99)\/(-90) + (-18)\/12. Let h = 2\/5 - 3\/20. Sort 0, 5, h, c.\nAnswer: c, 0, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 847, -0.4, -0.1, 47\/35?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16934?\nAnswer: 2, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**3 + p**2 + 7*p + 624. Let t be j(0). Calculate the highest common divisor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 232 - 229.98. Let g = u - 2.22. Which is the second biggest value? (a) g (b) 2\/3 (c) -5 (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6658, -6643, -6626, -6613, -6610?\n\"Answer: -l**3 + 7*l**2 + l - 6665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((27\/12)\/3). Let w = 18423 - 18425. Put -3, -5, v, w in increasing order.\nAnswer: -5, v, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 21*k**2 + 21*k - 24. Give s(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 51 = -1. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1766, -3536, -5306, -7076, -8846, -10616?\nAnswer: -12386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - s**2 + 2*s - 1. Let b(q) = 6*q**3 + 6*q**2 - 15*q + 155. Determine b(i) + 8*w(i).\nAnswer: -2*i**3 - 2*i**2 + i + 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1622*v**3 + 217?\nAnswer: 4866*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 - 2?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 11:42 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19744818 minus -8.527?\nAnswer: 19744826.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2345 - -2353. Solve -14*d - 8*d = c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5040 is divided by 1438?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hch when three letters picked without replacement from cchrhhxhrhrhvrh.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*o + 4. Suppose -o*u + 2*u + 36 = 0. Suppose -u - 3 = -3*x. Solve -x = -r - r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 319859707*m**2 - 148204080.\nAnswer: 639719414*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - 5. Suppose -134*q = -131*q + 216. Let k = 77 + q. Calculate n(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 12:58 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 11, 5 in decreasing order.\nAnswer: 37, 11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900951 is divided by 3572?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 2. Let x(a) = -a**2 - 3*a - 13. Let b(f) = -4*q(f) + x(f). What is b(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420\/60*(-6)\/(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 1288, 2934, 5278, 8344?\nAnswer: 12156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 44, 51.\nAnswer: -5, 44, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -3*o - 2*o - 4*g, -o + 5 = -2*g. Let j(l) = -l - 6. Let q be j(o). Which is greater: q or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1434767?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s**3 + 5*s + 6*s**3 + 8*s**4 + s**2 + 0*s**2 + 0*s**2 - 10*s**4 to the form w*s**3 + y*s**2 + d + v*s + t*s**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 - -94.02. Sort g, 4, 0.5, 1 in decreasing order.\nAnswer: 4, 1, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -687 divided by 15.\nAnswer: -229\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7410 = -229*y + 248*y. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -48, -94, -118, -108, -52, 62?\n\"Answer: 2*d**3 - d**2 - 57*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33283136.\nAnswer: 2, 19, 101, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116*v**2 - 1 - 113*v**2 + 146*v**2 + 7)*(3 + 1 - 1).\nAnswer: 447*v**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*n - 183*n + 329*n + 466*n + 102*n.\nAnswer: 866*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*m - 199*m + 348*m - 191*m + 240*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*l - 6*r, l + 93 = 5*r + 79 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*f + 1. Suppose -2*z - 3*d = z - 24, 0 = -4*z + f*d + 2. Solve z = -4*w + 7*w, -4*j - 4*w = 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 189*b - 3057. What is o(-171)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 308 + -303. Let z(i) = -8 + 0 - 4*i - v + 0. What is z(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -528318488*z**6 + 314*z**2 + z + 20978 wrt z.\nAnswer: -63398218560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 18. Is q(6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110 (base 2) in base 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 - -0.05. Let r = 0.9 + -0.87. Which is greater: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 2. Let x(i) = i**3 + 3*i**2 - 3*i - 5. Let c be x(-3). Suppose 0*w - 8 = -w + u, 5 = c*w + s*u. Solve -4*z + 3*q + 2 = 18, -w*q + 22 = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 7 = -2*c + a, -4*c + 15 = -3*a. Suppose -65 - 34 = -c*h. Let z be (-2)\/(-6) + h\/9. Solve 0 = -5*d - z*m - 7, -d - 2*m + 4*m = 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.86909 micrometers?\nAnswer: 0.00486909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 18. Calculate the greatest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 2:53 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7*g = -3*g - 28, 0 = 2*u + 5*g + 28. What is the units digit of 24\/u*(-402)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-20))\/(4\/10). Let f be (10\/14)\/((-54)\/(-378)). What are the prime factors of (f\/(-15))\/(m\/(-351))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/11)\/(1\/(-1))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 9*g**3 + 2*g**2 - 1. Let s = -9 + 14. Calculate the smallest common multiple of s and w(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166102.\nAnswer: 2, 53, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -13*v**8\/56 + 19*v**5\/10 + 25*v**4\/3 + v**3\/6 + 3*v**2 - 113*v - 6. What is the third derivative of c(k) wrt k?\nAnswer: -1560*k**3 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2420858 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235166910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210 - 1210121022002111?\nAnswer: -1210121022000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.135599 months in decades?\nAnswer: 0.134463325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3270 a factor of 20492022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.790604g to micrograms.\nAnswer: 2790604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**7\/70 + g**6\/24 + g**5\/40 - g**3\/3 + 3*g**2. Let n(k) be the first derivative of v(k). Factor n(j).\nAnswer: 3*j*(j + 1)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 3703 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 12. Let s be c(12). Let t(q) = 4*q + 1. Let u be t(2). Suppose -2*d - d + u = s. Solve -2*n - d*n + 15 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-341939.\nAnswer: 2051634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -363, -419, -519, -669, -875, -1143, -1479, -1889?\n\"Answer: -d**3 - 16*d**2 - d - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1451 (base 14) to base 2.\nAnswer: 111000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 11328*j**2 + 10988*j - 50. Let v(r) = 3777*r**2 + 3663*r - 15. Let x(i) = -3*h(i) + 10*v(i). What is the second derivative of x(a) wrt a?\nAnswer: 7572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from {r: 1, h: 1, n: 2, k: 3, z: 2, f: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 9*y**2 - 12*y - 10. Let m = 1 - 11. Let o be n(m). Suppose 0 = 7*v - 2*v - o. Solve 2*h = -3*h + v*t - 12, -2*t + 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05413 - 39.05413. Which is the second biggest value? (a) v (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**3\/6 + 63*k**2\/2 + k. Suppose -2*g + 0*g - 4 = -4*p, -p - 2*g - 4 = 0. What is the remainder when a(p) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q = -12*q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 613, 590, 551, 496?\n\"Answer: -8*q**2 + q + 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 466430544 a multiple of 968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22087 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 34. Suppose -5*k + 37 = -23. What is the smallest common multiple of k and v?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -313905 - 7*j + 313905. Let x(i) = 26*i**2. Determine x(u(d)).\nAnswer: 1274*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4334265 (base 7) to base 11.\nAnswer: -331aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -13 - 1 - (-1 + 20) - 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 30 = -4*n, 5*n = -26*l + 50*l - 25*l - 27 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1442 + -0.159186.\nAnswer: -1442.159186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 8:23 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 11. Let a = -2 - 2. Let y = a - w. What is the lowest common multiple of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36085 + 36087. Suppose 3*x + 10 - 55 = 0. Suppose -b = -3*h - 3*b + 16, 0 = 3*b - x. Solve 4*k - c = h*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 19*o - 18. Let m be n(19). What is the tens digit of 34*((-2)\/3)\/(m\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269090845 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-3))\/(6\/(-9)). Let l = -0.85 + 0.85. Let u = -0.33 - -0.03. Which is the nearest to h? (a) 0.06 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24809420 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**3 - 2*f**2 - 1301. Suppose -6*t = -2*t - 12. Calculate l(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 770749513 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**3 - 307*t**2 + 2*t - 4. Let k(q) = 9*q**3 + 613*q**2 - 2*q + 10. Determine 5*i(p) + 2*k(p).\nAnswer: -2*p**3 - 309*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2424, -244, 0 in descending order.\nAnswer: 0, -244, -2424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 2, 33, -0.1, -3.\nAnswer: -3, -4\/5, -0.1, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -187175 divided by -5\nAnswer: 37435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40110 (base 5) to base 2.\nAnswer: 100111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16163 is divided by 4876?\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*z**4 + 488*z**3 + 2804*z**2 - 60288*z + 57024 = 0. What is z?\nAnswer: -11, 1, 12, 108\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 51, -4, -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2535 - 22813\/9. Which is the nearest to -2\/5? (a) z (b) -3 (c) -1 (d) -1.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 487 = 172. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.032409 + -0.0327. Round j to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -56281, -225097, -506455, -900355, -1406797?\n\"Answer: -56271*g**2 - 3*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*j**2 + 43*j**2 + 48*j**2)*(-3*j**2 + 119 - 48 - 47) in the form c*j**2 + d*j**3 + m*j**4 + f*j + z and give c.\nAnswer: 1488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3314 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1337796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 18 = 7*w. Let z = w - -36. Let r = z + -27. Solve -3*q + r*q = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 - 1. Let h be y(1). Suppose -h*z = z - 11500. Let o be z*(1 + 2\/(-1)). Round o to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1158585?\nAnswer: 3, 5, 77239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 11*j - 135 = 0. Let k be 1\/(5\/j*3). Is (-2 - (0 + k))*11791\/(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (14 - (2 + 4))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -w + 5*u + 7, -3*w = -u. Let c = 0.06 - -0.34. What is the closest to 0.2 in c, 3, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -0.070414.\nAnswer: -3.929586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + 1*sqrt(114))*3) + -1*((sqrt(114)*-2 - sqrt(114)) + sqrt(114)))\/((sqrt(60)*-1*-5)\/(2*sqrt(810) - sqrt(810) - sqrt(10))).\nAnswer: -24*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.81*-5.\nAnswer: -9.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 0. Let o = 1 - x. Suppose y - o = -2*y. Sort -4, -3, y.\nAnswer: -4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + (56 - 60 - (-2 - -33)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1.8. Let w be (-1 + -1 + 2)\/2. Is w at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2283418448?\nAnswer: 2, 142713653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + 0.33. Which is the third smallest value? (a) 4 (b) h (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -101*w. Let z(f) = -56*f**2 - f. Determine z(b(o)).\nAnswer: -571256*o**2 + 101*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -1122?\nAnswer: -1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 7*n - 15, 3*f = -5*n + 34 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002485368 rounded to seven decimal places?\nAnswer: -0.0000249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 153798788 to the power of 1\/3, to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71539 + 286157\/4. Let t be (3 - 0)*4\/8. Solve -13\/4*q - t - 2*q**2 - l*q**3 = 0 for q.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9373, 9372, 9371, 9370, 9369?\n\"Answer: -j + 9374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 134958141 to the power of 1\/3, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-11)\/77)\/((-14)\/3332). What is the highest common factor of l and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*l + 113, l - 16 = -3*l. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4392768 or 4392813?\nAnswer: 4392768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2 - 0. Let r be x\/5 + (-599950)\/125. Round r to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*h - 59*h + 16. Suppose -3*u = -2*j + 10, 5*j = 6*u - 2*u + 11. What is the nearest to -0.07 in 0, h, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2*-11*(-52)\/(-858). Suppose 4\/3*z**3 - r*z**4 + 1 - 4\/3*z - 2\/3*z**2 = 0. What is z?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1102*s**2 - 147*s. What is the thousands digit of q(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10820*a + 10833*a - 296608 = 0. Does 32 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3162 + 3167. Solve 4*d + 0*r = -p*r + 7, 0 = r + 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8*i + 91. Let o be m(11). Solve -3*v + 9 - o = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 1) + 15 + (-71 + 3 - -21)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 - 2*b + 2. Let t(y) = -13*y**2 - 8*y + 9. What is -18*g(v) + 4*t(v)?\nAnswer: 2*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25938895 and 475?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 328*o - 17921. Calculate h(52).\nAnswer: -865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -707306*c**2*r**2*z + 7*c**2*z + 1121*c*r - 7*r**2*z - 5*r**2 + 3*r*z - 3*z wrt c.\nAnswer: -1414612*r**2*z + 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 45, -4, -1, 0.1, 2?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000109918 to six decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7906.973mg to grams.\nAnswer: 7.906973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f + 6*f - f to x + o*f and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from wlmdffx?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from ppnnnpnppppn.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34030 + -43422?\nAnswer: -133002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -587 divided by 9939.\nAnswer: -587\/9939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 11 - -16 - (-8 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3621 - 0?\nAnswer: 3621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 17*o**2 + 57*o + 94. Let m(k) = 30*k**2 + 114*k + 186. Let i(c) = -5*j(c) + 3*m(c). Differentiate i(r) with respect to r.\nAnswer: 10*r + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6586 and 18509508?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2464, 4896, 7328, 9760?\nAnswer: 12192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**5 + 9*x**4 - 6*x**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 0 - 1\/42*t**7 - 1\/6*t**3 - 1\/2*t**2 + 1\/6*t**4 - 1\/30*t**6 + 1\/10*t**5 - 4*t. Solve m(l) = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10790\/3 + 3554. Let f = k - -2170\/51. What is the smallest value in -0.2, 0, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3169.1915 to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 56 = 4*i. Let a be i - 2 - -1 - 2\/1. Solve -y + 5*y + 8 = -a*j, -3*y - 4*j = 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-245)\/14 + 15\/6 + (9 - 11). Let a(q) = q**2 + 21*q + 60. Calculate a(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4699 = 3033*j - 2996*j. What is the remainder when 441 is divided by j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 9:03 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/13505163 or 0?\nAnswer: 8\/13505163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1421?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 5*q - 28*q - 4*q**3 + 23*q.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480985645022*c + 4*c**3 + 480985645022*c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 643600 rounded to the nearest ten thousand?\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 12. Suppose g*p = 2 + 13. Let t = -12 + 15. What is the highest common factor of t and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44971 + 89944 - 44973 - 7*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1537*j - 8 = 1535*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4 - 2*y + y**2 - 3 - 3*y**2 + y**3 + 3. Let s = -5 - -8. Let a be f(s). What is the third smallest value in -3, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 541590 to the power of 1\/2, to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/29 in -2, -20, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -dd7 (base 15) in base 4?\nAnswer: -300313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 41 = -198 - 311. Is -90 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -512134, -512145, -512162, -512185, -512214, -512249, -512290?\nAnswer: -512337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h + 4*f + 12 = 0, 3 = -f. Suppose h*p - 3*p - 4*t = -53, 19 = p + 2*t. What is the greatest common divisor of 45 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-75))\/(14\/168)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 - 1 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 - -247\/3. Let p = -0.1 - -0.1. Let q be (24\/(-160)*-4)\/(2\/10). What is the nearest to j in -1\/3, q, p?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w + 2. Suppose -7*o = 2*o. Let i be -3 + o + (6 - 24\/6). Let a(u) = 3 - 9*u - 3 + 10*u. Give i*r(f) + 6*a(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30400263 is divided by 2981.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 + 484*y**2\/3 - 104491*y\/3 + 104006\/3.\nAnswer: (y - 161)*(y - 1)*(y + 646)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-4)*212\/20. Suppose -2*y = -29 - l. List the prime factors of y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174\/28*24220\/5190.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2*2\/10)\/((-6)\/30). Solve 14 - b = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 407*h - 405*h + 80360, 4*h = 5*p - 100444. Does 234 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3203302010 (base 4) to base 12.\nAnswer: -38bb18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38431798 to the power of 1\/2, to the nearest integer?\nAnswer: 6199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*w + 46 = 0, 0 = q - 13*w + 72 + 85 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 + -2 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35926268537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1235 - -1547. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**3 + 10*b**2 - 5*b + 5. Let t(j) = j**3 + j**2 + j + 1. What is -5*t(n) + v(n)?\nAnswer: -n**3 + 5*n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 211677, 423372, 635067, 846762, 1058457, 1270152?\n\"Answer: 211695*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1552 - -4604\/3. What is the common denominator of p and 25\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxakxaaackxa. What is prob of sequence akxk?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3)*1 + 8260\/30. Suppose 0 = -6*q + 91 + a. Suppose -4*j = -19*j + 270. Calculate the remainder when q is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40642 greater than or equal to -40644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssk when three letters picked without replacement from sikssssssssssss?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 374 by 7739.\nAnswer: 374\/7739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r**2 + 2*r - 1. Let y(s) = s + 1. Let i be y(-1). Suppose x + 8 = 2*q - i*q, 5*q = -x + 13. Let p be -1*x\/(1 - -1). Determine g(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okbxxqbbxbo. What is prob of picking 1 x, 1 b, and 1 o?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(84) - 1*sqrt(84))*4 - sqrt(84)))\/(sqrt(363)*-4 - (sqrt(3) - (sqrt(3) + (sqrt(3) + (sqrt(3) - sqrt(9)\/sqrt(3)))*-2))).\nAnswer: -2*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 4*v - 21 = -6*v + 5*f, 33*f = -2*v - 25 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 101 and -33.38?\nAnswer: 134.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 231903 plus -1032?\nAnswer: 230871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20 and 4608.\nAnswer: 4588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1020 and 101\/19380.\nAnswer: 19380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.35979 + 0.06021. Sort f, -0.4, -0.2, -0.5.\nAnswer: -0.5, -0.4, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-67)\/(670\/(-4)))\/(-2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*r + 12 + 4 = 0, g - 2*r - 13 = 0. Let n(d) = 2*d + g + 6*d + 7*d. What are the prime factors of n(4)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5065*q**2 + 5429?\nAnswer: -10130*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 1286 - 286 = 0. Let w(q) = -12*q + 16. What is the smallest common multiple of x and w(-7)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(0 + (-2)\/(-5)). Calculate the greatest common divisor of d and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -3\/18664 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*z = 11. Let a(m) = -m**2 + 12*m - 5. Let c be a(z). Suppose c = -v - 5*u + 3*u, -4*v + u + 21 = 0. Which is smaller: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10 + 4 = 3*m, 0 = 2*m - 5*n - 26. Let r(u) be the second derivative of u**5\/20 - u**4\/4 - 5*u**3\/6 + u**2\/2 - 415*u. Is 32 a factor of r(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(612) + sqrt(85)\/sqrt(5)*5 + ((sqrt(187) + 1*sqrt(187) + sqrt(187))*4)\/(sqrt(11) - (sqrt(44)*-2)\/sqrt(4)))**2.\nAnswer: 30*sqrt(17) + 3826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -119*c + 241. What is t(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -7944046\/5?\nAnswer: -7944046\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nb when two letters picked without replacement from {c: 2, n: 3, b: 5, q: 2}.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31 + 2fdf90?\nAnswer: 2fdfc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnry when four letters picked without replacement from nrrocycn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 119 = 4*y, 3*y - 3*f + 14 - 107 = 0. Let v(a) = y - 100 + 31 - 25*a + 33. Let m(d) be the first derivative of 2*d**3\/3 - 1. Calculate v(m(l)).\nAnswer: -50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 23184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 467 - 789. Let z = -90 - q. Does 29 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, u: 3, a: 6, p: 4}. Give prob of picking 2 a and 1 x.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(5) + sqrt(405)*2).\nAnswer: 114*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 212.416 - 0.416. Let f = g + -188.2. Let w = 33 - f. Round w to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -2. Let h be (z - 21) + (1 - 4). Let g = h - -30. Solve -g*q - 7 = -i, -6*i - 3*q - 29 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(35\/(-10)))\/(12\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, h: 1, s: 6, z: 9}. What is prob of picking 1 z and 3 s?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5467 - 5345. Calculate the remainder when f is divided by 93.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 268991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0540356 rounded to 3 decimal places?\nAnswer: 1.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 34847, 69450, 104053?\n\"Answer: 34603*f + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -868, -1851, -2830, -3805, -4776, -5743, -6706?\nAnswer: -7665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/5)\/((-1)\/75). Let j be 4\/5*g\/(-228). Let z = -15\/38 - j. What is the second smallest value in z, -4, -1\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.034655 to 3 dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 14*d**2 - d - 3. Is 27 a factor of u(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 6*u**2 - 10*u**3 - 89*u**3 + 26.\nAnswer: -99*u**3 + 6*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = -4*n - 6*m + 24, -4*n - m = 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3648 + 3652. Let z = 0.27 - -0.73. Put 0, 0.4, z, h in ascending order.\nAnswer: 0, 0.4, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + -35 + -7 - 26?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 2\/3, -1, 3.31, 43, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6510)\/4 + -3)*(-4)\/3. Suppose p = 13*k - 3065. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -449761\nAnswer: 4497610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*z = -10, 0 = -3*i + 2*i + 2*z + 5. Let v = 90 + i. Let j = v + -22. Is 24 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1001 and 858.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13230233310 (base 4) in base 14?\nAnswer: 3a775a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 1. Let c(x) = 3*x**2 + 4*x + 2. Suppose 0*o + o - 7 = -2*w, -o + 5*w = 14. Give o*c(z) - 4*u(z).\nAnswer: -z**2 + 4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -18*v**3 + 16*v**2 + 4. Let s(j) = -72*j**3 + 63*j**2 + 15. Give -15*l(p) + 4*s(p).\nAnswer: -18*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -35) + -1 - 0. Suppose s = -5*n + 5*t - t, 3*t = 2*n + 20. Let v = -58 + 61. Which is the closest to -1? (a) v (b) -1\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198980617 to the nearest integer?\nAnswer: 14106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.081 and -789950.\nAnswer: 63985.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-53790)\/1141*56\/(-72)*2\/(-4)\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q + 27 = 4*f, 12 = -f + 4*q. Suppose -h - 2*z - f = 3*z, 5*z = h - 22. Which is greater: 6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -5, 183663, 1, 0 in descending order.\nAnswer: 183663, 39, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 468 and 304304?\nAnswer: 2738736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 5*c = -9, 0*i + 299 = -5*i + 3*c + 323 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f**2. Let s(b) = b**2 + 2*b + 2. Let m be s(-3). Let q(x) = -x - 1. Let k = 1 + 0. Let i(l) = 4*l + 5. Let z(w) = k*i(w) + m*q(w). Give g(z(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/10)\/(6\/90). Let t(s) = -10*s**3 + s**2 + s - 2. Let m be t(-2). What are the prime factors of (90\/24)\/(u\/m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 870687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k. Let l(m) = -4*m**2 - m + 1. Let q be l(1). Let y(h) = h**2 - h. Calculate q*y(x) + n(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/75 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 >= -43355.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*j**3 - 32*j**3 + 16*j**3 - 9*j + (-1 + 1 - 4*j**2)*(0 - 2*j + 0) in the form o + q*j**3 + k*j**2 + g*j and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 6*u. Let l(a) = 26*a + 2. What is n(l(g))?\nAnswer: 676*g**2 + 260*g + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571*p + 497*p + 0*p**3 - 2*p**3.\nAnswer: -2*p**3 - 74*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -27. Let m(l) = l**2 - l. Calculate m(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -917*h - 911*h - 920*h + 2749*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(594\/108*(-2)\/88*-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1472\/11 + 11892\/55. Let p = 82 - h. Suppose -3*j + 5 = -1. Which is the closest to j? (a) 0.4 (b) -1\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 10:44 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1528 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 14*r - 33. Let u(p) = -5*p + 11. Let j(z) = 17*u(z) + 6*x(z). Let t be j(-13). Suppose -n + t*n - 1 = 0. Solve -4 = -5*k + n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -93, -4, 0.5, -5?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyjyqyjjjqcjjcjjqyyj. What is prob of sequence yyj?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 m, 1 v, and 1 h when four letters picked without replacement from ituhvttmtitttiut.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3523 + 3517. Let n be 45\/20 - 2*1. Which is the third biggest value? (a) n (b) -4 (c) r (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 + 0.41. Let t = r - 5.5. Let u = 4 + t. Which is the third biggest value? (a) 4 (b) u (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 3. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4308\/718)\/(1*51\/(-18)*72\/8).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c - 37743 + 38289 = 0 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*o - 64*o + 11 - 10 - 47*o.\nAnswer: 24*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -1260*r**3 - 112*r**2 - 112. Let o(l) = 24*l - 235. Let p be o(10). Let i(s) = 56*s**3 + 5*s**2 + 5. Calculate p*n(f) + 112*i(f).\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 divided by -5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 51*n - 336. Let s be k(-31). Suppose -2*w + 16 = 9*r - 4*r, -5*r + 2*w + 24 = 0. Solve s*d = -4*f - 5 - 0, d = r*f - 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 3*m + 13*m**3 + m**3 + 3 - 12*m**3 - 59*m**2.\nAnswer: 2*m**3 - 59*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-six fifths of a millennium?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 10*j**2 - 2*j + 20. Let y be f(10). Let a be 6\/(-4)*(-396)\/11. Suppose a - 48 = 2*w. Sort y, -3, w in increasing order.\nAnswer: -3, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4862, 9711, 14560, 19409, 24258, 29107?\n\"Answer: 4849*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 396963165 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 960, -1, 74, -25, -3 in decreasing order.\nAnswer: 960, 74, -1, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**2 + 16*v - 54. Let g be l(5). Let d = 152 - g. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5885 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 243*p**3 - 1885*p**2 - 1125*p + 11750.\nAnswer: -(p - 2)*(p + 5)**2*(p + 235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 (base 10) in base 6?\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + 0 + 3 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/z**(-9)))\/z)\/z*z)**(4\/27)*((z**2\/z)\/z)\/z**(-7\/2) assuming z is positive.\nAnswer: z**(109\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (2*sqrt(187) + sqrt(187)) - sqrt(187))*2 - sqrt(187))\/(6*(sqrt(11) - -1*sqrt(11))).\nAnswer: -7*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (2 - 1) + 166 + -157.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517218365?\nAnswer: 5, 23, 227, 19813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 + 408047*x**2 + 1632191*x\/2 + 408048.\nAnswer: -(x - 816096)*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -824857 + 9?\nAnswer: -824848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 3)*(5*o - o - o).\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*n**3*t*x**3 + n**3*t - 103*n**3*x + 3*n*t*x**3 + x**3 wrt t?\nAnswer: 5*n**3*x**3 + n**3 + 3*n*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.87825km to meters.\nAnswer: 86878.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**7\/840 - d**6\/120 + d**4\/6 + 2*d**3\/3 + 3. Let y(i) be the third derivative of r(i). Factor y(l).\nAnswer: (l - 2)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhyysthhpyyh. Give prob of sequence sph.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 9:08 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 9*w + 6*w)*(-2 - 8 + 3) + 0*w + 0*w - w.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/198 and 5\/4.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**4 + 1780*y**3 + 154828*y**2 - 642612*y + 486000 = 0.\nAnswer: -324, -125, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24, -9, 16, 51?\n\"Answer: 5*p**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11 - 2\/11*x - 4\/11*x**4 + 10\/11*x**3 - 6\/11*x**2.\nAnswer: -2*(x - 1)**3*(2*x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**3\/6 + i**2\/2 + 73*i - 2. Let l(u) = 4*u - 4. Calculate l(j) + 3*w(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -739 and -7015.\nAnswer: 5184085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1558 and 13653205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-30)*252\/54.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28, -146, -474, -1120, -2192?\n\"Answer: -18*s**3 + 3*s**2 - s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*(-24)\/(-252))\/((-4)\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111*c**2 - 30*c - 46*c**2 - 64*c**2 + (3*c - 3*c - c**2)*(1 - 2 + 3) to the form j*c**2 + k*c + o and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1892712 and 408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d. Let n(c) be the third derivative of -c**5\/30 + 11*c**4\/12 + 19*c**2 + 3. Determine -4*n(z) + 88*t(z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.1, -10, 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 454626, -2, -3, 2 in increasing order.\nAnswer: -3, -2, 2, 454626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 6991525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -0.2801, 17?\nAnswer: -0.2801","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128142.79600019 - 128155.796. Let t = 13 + q. Round t to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5 + 11. Does 16 divide (-26)\/4*((-64)\/d + -54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/899 - 2705\/3596. Let u = 12.75 + 0.25. Let s = u + -13. Sort -8, 2, i, s in decreasing order.\nAnswer: 2, s, i, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlxxmeldddlldllxsmdl. What is prob of picking 1 m and 2 l?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(119) - (sqrt(119)*1 + sqrt(119)))*2)\/(2*sqrt(28)\/sqrt(4) + -3*(sqrt(7) + sqrt(7)*2 + sqrt(7))))**2*5.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 2. Let j = 6 + p. Solve j = -2*g - 3*g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 45*j - 21. Let o(k) be the second derivative of -11*k**3\/6 + 5*k**2\/2 + 9005*k. Calculate 9*o(p) + 2*s(p).\nAnswer: -9*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2568*v - 63668. Determine a(25).\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 28.5, 7\/4, 2.58, -3 in descending order.\nAnswer: 28.5, 2.58, 7\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4344 and 626.\nAnswer: -3718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkk. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 3*s + 9, 0*h - 18 = s + 4*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4371564*m**3 - 565*m + 1652?\nAnswer: 26229384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 399 = 3*n - 4*n, 0 = -2*b - 8. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.96586 and 2?\nAnswer: -1.93172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 8. Suppose 18 = -s*r - b, -5*r - 17 = 4*b + 11. Let p(c) = 6*c**2 + 4*c - 3. Is p(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11790 + 14467 = -1410*w - 35783 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 31*a**3 - 122*a**3 - a)*(-a - a - 2*a).\nAnswer: 364*a**4 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 248*p - 27280. Give c(110).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65660 divided by -4.\nAnswer: 16415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 2 + -6 - -2. Let n(x) = -3 - 2*x + 3*x + o. Let g be n(5). Solve 2*k - g = -6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyzjnjjbjjj. Give prob of picking 1 y, 1 n, and 1 j.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 6*q**2 - 2*q + 1. Suppose -5*c - 6 = 5*p + 19, -17 = 2*p - 5*c. Let r be d(p). Let s = r + -9. Solve s = -l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 172866 and 8037?\nAnswer: 9853362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 6*a + 11. Let t be m(-4). Suppose 0 = -d + 3*y + 2*y - 1085, -t*y = -3*d - 3267. What is d rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/((sqrt(2) + sqrt(242))*6).\nAnswer: sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, 3\/2, -20?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 - ((-1)\/1)\/2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2442076 (base 8) to base 11.\nAnswer: -41a564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/15*1*-10. Let k be 27\/6 - (-2)\/i. Solve 4*n - 5*t + 32 = 0, -n + 0*t = -k*t + 23 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/24695 and 27\/1692730.\nAnswer: 18620030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.929764 and 8.\nAnswer: 7.070236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (10 - (-434)\/(-21)) - 2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 + r - 1. Let f be q(1). Let u = -17.7 + 18. Sort u, 0, f in increasing order.\nAnswer: 0, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 + -8.45358923?\nAnswer: -9.35358923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20663*z = -2*i - 20666*z + 9, 37*z + 121 = 14*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - ((5 - 1) + -8). Suppose 3*k - 4180 = -u*i + 6*k, -2*k = 2*i - 1688. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -780 divided by 5\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (59\/((-885)\/(-30)))\/(2\/35). Solve -k = 25*r + 65 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 27 (b) 1\/4 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 310 = 1063. 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 33418 and 1089154.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (2 + -5)*57\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -70\/3. What is the closest to i in -4, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9596, -19275, -28956, -38639, -48324?\n\"Answer: -t**2 - 9676*t + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -27 (b) 0.1 (c) 1 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1135, 4587, 10355, 18439?\nAnswer: 28839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.10000166 - 1.1. What is m rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sicliieidlli. What is prob of picking 1 c and 1 d?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6265\/24? (a) -4\/7 (b) -2\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 37*o + 365. Let h be v(-10). Which is the second smallest value? (a) -4 (b) h (c) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -702400 rounded to the nearest ten thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-510687)\/4121 + (-44)\/(-2) - ((-64)\/(-8))\/104\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13745373 is divided by 216.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 680, 794, 908, 1022, 1136?\n\"Answer: 114*j + 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 32 (b) 2\/9 (c) 2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302113.\nAnswer: 7, 43159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 540, 144, -508, -1416, -2580?\n\"Answer: -128*j**2 - 12*j + 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36529475471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230209.\nAnswer: 7, 32887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2952307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**10*s\/((s\/((s**(-1)\/s)\/s))\/s)*(s*s*s**(4\/7))\/s**7 assuming s is positive.\nAnswer: s**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzppyyrzvpzp. Give prob of sequence tv.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 4:35 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 374606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((23\/3)\/(-23)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**6\/144 - y**4\/3 + y. Let j(c) be the third derivative of n(c). Let p(v) = 15*v**2 - 10*v**2 - 6*v**2. Calculate j(p(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -7 - 6 - -11\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l + 8. Let o be x(4). Is 19 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1984*t - 1952 = 1923*t for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2\/7 - 792*t\/7 = 0. Calculate t.\nAnswer: 0, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -55, -42, -11, 44, 129, 250?\n\"Answer: r**3 + 3*r**2 - 3*r - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71088 + -354154\/5. Let a = r - 257. Determine c so that a + 1\/10*c**2 - 3\/10*c = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 2. Let g(v) = -784*v - 1173*v**2 - 1 + 1172*v**2 - v**3 + 788*v. Determine g(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -x - 2, -4*x = 3*h - 12 - 24. Let d = 53 - 75. Let j = -8 - d. What is the smallest common multiple of x and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19, -36, -61, -94, -135, -184?\n\"Answer: -4*m**2 - 5*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 11:16 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*d - 26 = 0, 3*d = -3*f + d + 8. Factor 0*s**4 + 8*s - 8*s**3 - 6*s**4 - f*s**2 + 8*s**2 + 2*s**4.\nAnswer: -4*s*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 16*r**2 - 46*r + 90. What is n(-12)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 2, 16, 56, 134?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiboijpjpoqojoi. Give prob of picking 2 o, 1 j, and 1 b.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-169) - 3*(32263\/3575 - 9)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/42 and 94\/105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 1, 3*a = -2*b - 2*a + 587. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -334214878 rounded to the nearest one million?\nAnswer: -334000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22778, 91084, 204928, 364310?\n\"Answer: 22769*c**2 - c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28944 and 12?\nAnswer: 28944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 0*g**5 + 0*g**3 - 12*g**2 + 17 + 0*g**4 + 0*g + 13\/3*g**6. Find the second derivative of s(q) wrt q.\nAnswer: 520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**4\/11 + 1492*v**3\/11 - 271190*v**2\/11 + 269700*v\/11 = 0.\nAnswer: 0, 1, 310, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 3\/4 (c) 1\/19298 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 4424 = -1768. Suppose 139 = 2*v - g. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 10*u - 3. Suppose 0 = 5*g - 5, 4*b - 11 = g - 4. Is z(b) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-10))\/((-1)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 4*z**8\/21 - 4*z**5\/5 + 21*z**2. What is the third derivative of h(o) wrt o?\nAnswer: 3840*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6693307605 and 615.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(sqrt(3)*-1*2))\/(sqrt(576)*3*5 + sqrt(576)))**2.\nAnswer: 1\/73728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1636 greater than -1639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -2 (b) 419 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 54\/5 - 66\/5*d + 38\/15*d**2 - 2\/15*d**3 = 0?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**7\/c*c*c\/(c\/(c**5\/c)*c*c) assuming c is positive.\nAnswer: c**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -4*p**2 + 56. Let u(n) = -18*n**2 - 24*n + 24. Let s(z) = -4*z**2 - 5*z + 5. Let i(m) = 24*s(m) - 5*u(m). Calculate i(q(k)).\nAnswer: -384*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 - l**2 + 5*l**2 - 9*l**2 - 23171*l**3 + 23180*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*b**3 - b**2 + 18*b**3 - 5*b**3.\nAnswer: -119*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**6\/180 + l**5\/60 - l**4\/6 + l**3\/6 - 2*l**2. Let t(a) be the first derivative of h(a). Factor t(y).\nAnswer: 2*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 114.53.\nAnswer: 458.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1640056*r**6 - 2250054*r**2?\nAnswer: 196806720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**3*i**2 - c**3*i + 6729*c**3 - 2*c**2 - 21*c*i**2 wrt i?\nAnswer: 2*c**3*i - c**3 - 42*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -86*l - 701. Let s(p) = -17*p - 135. Give 6*b(g) - 31*s(g).\nAnswer: 11*g - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 12*r + 5 = z, r - 2*z - 10 = 0. Suppose 95 = 2*d + s, r*d - s - 199 = -0*s. What is the remainder when 830 is divided by d?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161936214 and 1542?\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 47*w**2 + 3*w + 4. Let s = -22 - -21. Let g be l(s). What is the highest common divisor of g and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.74958613 and -0.1?\nAnswer: 0.174958613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 105 divided by 1\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(28)\/sqrt(7)) - (-3*sqrt(2))**2*3.\nAnswer: -54 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 1. Let r(a) = -a**2 + 5*a + 7. Let u be r(5). Let g be c(u). Let x be 18\/12 + (-6)\/4. Solve 5*t - g - 4 = x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 15*n**2 - 10*n. Suppose 0 = -q - 8 + 9. Let x(l) = l**2 + l. Let i(u) = q*h(u) + x(u). What is the second derivative of i(r) wrt r?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*z + 181*z - 58*z - 31*z**3 - 55*z.\nAnswer: -31*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4520723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g + 8. Let k(i) = -i - 1. Let h(f) = -4*k(f) - m(f). Give h(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 275*j + 17009. Give q(181).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11956 - -11935. Let q(o) = -11*o - 7. Let b(f) = -f - 1. Give k*b(w) + 3*q(w).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtxt when four letters picked without replacement from hyttxhtttcxt?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -1 + (-17 - 481\/(-52))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000733484 rounded to 6 decimal places?\nAnswer: -0.000733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 254211 - 3?\nAnswer: 254204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4414751688 a multiple of 1164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166365, -332577, -498795, -665019, -831249, -997485, -1163727?\nAnswer: -1329975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 249008 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*8\/180*5*204\/(-17)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 3*z - 3. Let u be t(2). Suppose -u*q + 4 = -2. Solve -5*j - q*p + 5*p + 2 = 0, 5*p - 9 = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -5. Let g be (-4 - k) + 10*1. Suppose y - g = 1. What is the highest common divisor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7008 + -1646?\nAnswer: 5472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 32*l**3\/3 - 44*l**2 - 16*l + 3. Is n(4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-3) - (-7)\/21. Solve -3 = h*f + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -10. Let p = h + -4. What is the remainder when 6 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 189*t**2 - 2*t - 1342. Let k(a) = -1135*a**2 + 13*a + 8053. Let g(b) = -13*c(b) - 2*k(b). Find the first derivative of g(q) wrt q.\nAnswer: -374*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8041737 and 394.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 11*o - 35. Calculate the least common multiple of (1 - 56\/12)*-3 and y(4).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 153*i**2 - 215*i + 413. Let k(g) = 183*g**2 - 216*g + 414. Let s(a) = -5*k(a) + 6*v(a). Factor s(w).\nAnswer: 3*(w - 68)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2 - 66\/44?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 820320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 64, 145, 240, 355, 496, 669, 880?\n\"Answer: a**3 + a**2 + 71*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-128)\/(-96))\/((-1)\/(-18)). What is the greatest common factor of 132 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -209857\/8 greater than or equal to -26231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 5*f - 4. Let l be o(-3). Suppose -c - x = -5, 18*c - 19*c = -2*x - l. Solve -c*b + 5 = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((196\/63)\/7)\/(((-868)\/56)\/(-31))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2109 and 10101?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26\/50455 - -827488\/50455. Factor 8\/5*g**3 + 92\/5*g + k*g**2 + 18\/5.\nAnswer: 2*(g + 1)*(g + 9)*(4*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2799.9999978992 + 2800. What is s rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.275.\nAnswer: -0.1375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 2694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q - 4. Suppose -5*x - q*l = 16 - 64, -x - 2*l = -6. Let a be 2\/6 + 80\/x. What is the highest common factor of a and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2727 = -2*a, -12*y + 2*a + 8181 = -9*y. What is the least common multiple of 54 and y?\nAnswer: 5454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 0 + -2 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 5*u - 2. Let m be q(-6). Suppose 0 = -85*o + 223*o - 414. Let a be m\/(-36)*o - (-6)\/45. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -81 from 101.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 8:33 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10505568 - 348?\nAnswer: -10506027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbsssssssssssss. Give prob of sequence ss.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 + 15. Let d be ((-8)\/(-3))\/(8\/w). Let j be (d\/32)\/((-1)\/(-2)). Which is the nearest to 0? (a) -1 (b) -1\/11 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*v - 36*v - 14 = 0. Suppose -14 + v = -6*t. Solve -2*y + 2*a = 2*y, -4*y = -a - t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 20*f - 12*f - 96186056, -4*v + 5*f - 192372035 = 0. What is v rounded to the nearest 100000?\nAnswer: -48100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*q + q. Suppose 0 = -q*l - 0*l + 15. Find the common denominator of l + 222\/27 + -3 and 95\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - -7. Suppose 3*u = 5*o + 2*u + 80, 2*o = -2*u - q. Let j be (8\/12)\/(o\/9). Put j, -0.2, -0.1 in descending order.\nAnswer: -0.1, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 1350535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -56 (c) -5 (d) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 191562 or 191570?\nAnswer: 191562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 68. Let z be o(-33). Let h be (-6)\/((z\/5)\/((-3)\/(-15))). Sort 15, 8, h in decreasing order.\nAnswer: 15, 8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 5, 2\/145?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 305116 divided by 877\nAnswer: 305116\/877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -145 + 234. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/28*2)\/((-8)\/196*28).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 5. Let v = 13 + -8. Let j(x) = 2*x + 4. Determine v*j(p) - 4*g(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -753382227*a**2\/2 + 31694*a - 2\/3 = 0.\nAnswer: 2\/47541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + h**3 - h**3)*(-4 + 2 + 0).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwuwsswisiwi. Give prob of sequence wsiu.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300727, -601456, -902185, -1202914, -1503643?\nAnswer: -1804372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9545 + -9542. Let m = -0.3 + 0.4. Which is the second smallest value? (a) m (b) 0.3 (c) g (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-9 + 9 - 8 - 5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -778 - -765 - (2 + -3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (10 - 6)) + -2 + 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/12 + (-2)\/(-12). Let y be 2*(w + -2) + 30. Calculate the greatest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - 3\/((-3)\/2). List the prime factors of (-208)\/(-24) + 2\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 358094 and 9528.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2303\/(-105))\/(86\/3). Let h = -3\/86 + z. What is the nearest to 8 in -0.3, h, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -17\/6, 1455752?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u**2 - 4*u + 1. Is 7 a factor of x(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 - -271\/3. What is the closest to c in -5\/4, 0.2, 2\/13?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 131766 and -5.\nAnswer: -658830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 75975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11057.7 + -1543.\nAnswer: -12600.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, j: 3, k: 7}. What is prob of picking 1 r and 2 j?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 2558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsqs when four letters picked without replacement from qqqssqqsqqsqqqqs?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82.94195 - -0.05805. Put -1, 4, 0.2, n in increasing order.\nAnswer: -1, 0.2, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) -0.05 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 545944 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-168)*(723 + -711). What is c in 0 + h*c**2 + 24\/7*c = 0?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13801\/76080 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71940?\nAnswer: 2, 3, 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4566 less than 0.4?\nAnswer: -3.0566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8*t + 32. Calculate h(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4 = -3*z, 7 = 4*p + 4*z + 39. Let s be (p\/2 - -2) + (-15)\/6. Put 15, -1, s in increasing order.\nAnswer: s, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.41 + 5.01. Which is the closest to n? (a) 1\/11 (b) 0.4 (c) 2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4793 less than 0.2039?\nAnswer: -0.2754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 5:06 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18758515.\nAnswer: 5, 3751703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37968 and 432?\nAnswer: 341712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11165 take away -0.5?\nAnswer: -11164.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/58)*k)**(2\/19) assuming k is positive.\nAnswer: k**(3\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**3\/12 + 237*b**2\/4 - 56169*b\/4 - 1676. Factor y(i).\nAnswer: -(i - 237)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, s: 3, p: 4, j: 2, z: 1}. Give prob of picking 2 p and 2 s.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.5 + 11.64. Let k = 0.14 - y. What is the nearest to 0.1 in 0, k, -1\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -21*t + 3. Let c be x(-7). Let s = c + -105. Let m = -39 + s. Solve -3*j - j - f = m, 2*j - 5*f + 14 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/45)\/p)\/((p*p**(-30\/11))\/p*p) assuming p is positive.\nAnswer: p**(833\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1080236+183857\nAnswer: 1264093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 - 325 = -3*u. What is the remainder when u is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831 = -526*k + 109 - 6200 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and -2.83.\nAnswer: -3.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 7:05 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*y - 661138 - 1318460 = 0. What are the prime factors of y?\nAnswer: 3, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -67?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1217.6 - 485. Round f to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 6*j**2 - 52. Give s(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -14*p**2. Let b(j) = 599*j. Give b(c(n)).\nAnswer: -8386*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 72?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -12 + 23 + m + 2*m. Does 3 divide k(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/540 and -44\/143613.\nAnswer: 2872260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.246248 years?\nAnswer: 2.954976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 7. Let t(s) = -28*s. Let h(o) = -9*o. Let x(y) = r*t(y) - 16*h(y). Give x(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**5 - 11565*x**4 - 470415*x**3 - 435695*x**2 + 917670*x = 0. Calculate x.\nAnswer: -39, -2, 0, 1, 2353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Suppose 2*v = 3*g - 2, 3*v + 16 = -2*v + 2*g. Let c be -11 - -11 - (v - -1). Solve o + f = -c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2507547 (base 8) in base 12?\nAnswer: -294607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 13, c: 6}. Give prob of picking 4 c.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2248660?\nAnswer: 2, 5, 29, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and 8\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.13 (b) 73 (c) 0.2 (d) 3 (e) -0.21 (f) -4 (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/33*99\/27?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k = 0. Let m be k\/(-2)*(-2 + 3). Which is greater: 1\/8 or m?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t + 3. Let w be q(-3). Let a be (-1)\/(1\/1) + -76 + 149. Calculate the greatest common factor of a and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150549028 divided by 4\nAnswer: -37637257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-10)*-1*(-40)\/(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 669844 by -4.\nAnswer: -167461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z**2 - 10*z - 249. Let m be n(-13). Suppose 0*x - 3*x = -3*t - 13233, -x - 2*t + 4408 = 0. Let v = m + x. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 4*m**2 + 18*m - 3. Let f(s) = 2*s**3 + 11*s**2 + 53*s - 8. Give 3*f(y) - 8*w(y).\nAnswer: -2*y**3 + y**2 + 15*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**7\/35 + h**6\/60 + h**5\/10 - h**4\/12 - 3*h**2\/2 + 3. Let w(p) be the second derivative of z(p). Factor w(d).\nAnswer: -2*d*(d - 1)*(d + 1)*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*u**2 + 2*u**3 + u**3 + 3*u**3 + 23*u**2 - 53*u**2.\nAnswer: 6*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 162156 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -b13372?\nAnswer: b1336a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/16 - -173\/112. Suppose -l - 2*l = 2*v + 8, -2*v - 5*l = 16. Which is greater: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 188 = 57. Let t = x + -40. Calculate the smallest common multiple of 10 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1129*z = 1068*z - 1608 + 266 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z + 11*z**2 - 13*z**2 - 20*z**2 - 4*z in the form i + l*z + j*z**2 and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) 1\/2 (c) -6\/5 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3 + 3)*(65*w - 122*w - 9*w**2 + 52*w)*(-5*w + 2*w + 2*w).\nAnswer: 18*w**4 + 10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 3*m**4 - m**3\/3 + 156*m**2 + 433. What is the second derivative of z(f) wrt f?\nAnswer: 72*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 41 = 11. What is the greatest common divisor of b and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 37. Suppose 0*k = -2*k + n. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819842940?\nAnswer: 2, 3, 5, 7, 650669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12*q**2 + q - 1. Let g be k(1). Let y = g + 128. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 + 234*x**2 - 491*x - 802. Give w(-80).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y**(-16)\/y)\/y)*y)\/y*(y**(3\/2)\/y)\/y assuming y is positive.\nAnswer: y**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 103437, 103451, 103465, 103479?\n\"Answer: 14*g + 103423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 + 766*o**2\/7 - 1538*o\/7 + 110.\nAnswer: 2*(o - 1)**2*(o + 385)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + b + 4*b**2 + 2*b. Let z(q) = -3*q**2 - 2*q. Suppose -4*n = -0*n + 12. Let a(t) = n*r(t) - 5*z(t). Determine a(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46782857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 23 - 50 = u, u + 5*z + 57 = 0. Let i = 22 + -70. Let b = i - u. Solve 0 = -l + 3*r - b, 3*l + 0*r + 7 = -r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 7:22 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -7 in descending order.\nAnswer: -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3400, -3401, -3402, -3403, -3404, -3405?\n\"Answer: -v - 3399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b + 8 - 11 + 1)*(-4*b**2 + b**3 + 4*b**2)*(-11 - 56 - 1).\nAnswer: -340*b**4 + 136*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*x + 3*h - 9, 0 = -2*x - 3*h + 32. Solve 1 = -2*v + 3*t, 0 = 5*v + t + 2*t + x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**6\/240 + 3*g**4\/4 - 10*g. Let y(s) be the third derivative of q(s). Let m(p) = 2*p**2. Give y(m(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2 - (-72)\/(-24))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 6) to base 8\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l - 2*l)*(-5 - 4 + 2)*(4*l + 3*l**2 - 2*l**2 - 6*l)*(l + 6 - 2 - 2).\nAnswer: 28*l**4 - 112*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*l + 3*u, -l - 2*l = 5*u - 16. Solve -l*s = 5*s + 36 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-21)\/(h**(-22)\/h))\/(h**3*h)**(2\/15) assuming h is positive.\nAnswer: h**(22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**4\/36 + 27*m**3\/2 + 237*m**2 - 582*m. Factor u(v).\nAnswer: (v + 6)*(v + 237)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*z - 368 - 138, 5*z = 5*f + 520. What is the highest common factor of 96 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 196 - 123. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/24 and -163\/462.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*4)\/(3\/6). Let r(o) be the second derivative of -o**3\/6 - o**2 + o. What is the units digit of r(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/6 - (-4 - 0). Let o(d) be the second derivative of 3*d - 1\/3*d**3 + v + 1\/2*d**2. Differentiate o(i) with respect to i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/8 + 5*y**3\/4 + 21*y**2\/8 - y\/2 - 7\/2.\nAnswer: (y - 1)*(y + 2)**2*(y + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 371877607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 3 - 3)*(-u + u + 2*u**3) + (2 - u - 2)*(26*u**3 - 13*u**3 + 30*u**3) + 2*u**4 + u**3 - u**3 to o*u**4 + f*u**3 + j + h*u + b*u**2 and give o.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ululviipvupuvv. What is prob of picking 1 p, 1 v, 1 u, and 1 i?\nAnswer: 64\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 9*l - 12*l + 63, -5*l - 111 = -3*d. What is the remainder when 418 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21235209 a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 645 + -643. Solve 2*t + 0*t + 2*d = -2, -y*t + 10 = -2*d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q = -1 + 27 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-499 + 301 - 652)*(0*w + w - 2*w + 4 + 0*w + 2*w - w + (2 + 3 - 4)*(3*w + 0*w - 5*w)) in the form g*w + o and give g.\nAnswer: 1700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 84*m**2 + 12*m. What is the least common multiple of 134\/4 + (-9)\/6 and b(-1)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*b**5 + 90*b**4 - 83*b**3 - 6*b**2 + 10*b + 786.\nAnswer: -840*b**2 + 2160*b - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*j = 10, m - 62*j = -66*j + 20. Solve 12*r - 13*r = m, -2*b + r = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*a + 19*a - 4*a - 1 - 31*a + 15*a.\nAnswer: -70*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -24.00047. Round c to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.3*-0.2.\nAnswer: -7.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 5*l - 4*t, 3*l - 53 = 3*t + 2*t. What is the remainder when 74 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/5264 and 131\/42?\nAnswer: 15792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (144\/180)\/((2\/15)\/(78\/(-1287)))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53078379*j**3 + 601651079*j**2 wrt j.\nAnswer: -318470274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 v when three letters picked without replacement from mmbbvmbvvmbmbmv.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16598691253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 203611970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) + 4*sqrt(90)*-2)\/sqrt(10))\/(sqrt(300) + 1*sqrt(300) + sqrt(300) + sqrt(300) - sqrt(12)*-3).\nAnswer: -7*sqrt(3)\/46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 7*n - 2. Let p be s(5). Let z = 421 - 407. Let o = z + p. Solve -2*m - o = -5*m - 4*h, -3*m = 3*h - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44553 is divided by 6348?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3928 - -4355. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 430*n + 6252. What are the prime factors of c(28)?\nAnswer: 2, 17, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 + 1) - (6 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/102*(-27792)\/(-11580)\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 99 - 200 - 116*f + 101 in the form n + h*f and give h.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 366 and 140568.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 12*f + 6. Let o be x(11). Let w(r) = -176*r + 3. Let q(t) = -353*t + 5. Let k(j) = o*w(j) + 3*q(j). Let i(d) = -2*d. What is k(i(b))?\nAnswer: 358*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 0.3. Let w = -0.7 - m. What is the third smallest value in -2, 0.02, w?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 0 - (-10 - (19 + -2))) + -163 + 157.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*g = 0. Let n(k) = k**2 + k + 4. Let q be n(g). Let t(w) = 8*w + 112. Let v be t(-14). Solve -q*a - 4 - 16 = v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -167.93387753779 and -0.13.\nAnswer: -168.06387753779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 65 = 870544*k - 870549*k, 0 = 5*z + 25 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2. Let a(x) = 2*x + 5. Let o = 4 - 3. Let l(j) = -j - 1. Let q(k) = o*a(k) + 5*l(k). Give q(n(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 - (3 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.07673 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - -39. Suppose 4*t = -3*x + 25 + c, -5*x + t = -130. What is the remainder when x is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -95 and 0.965.\nAnswer: -91.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*t = -4*t - 82, 3*j - 3*t = 231. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 124*c - 954. Calculate d(8).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 195658, 195656, 195660, 195676, 195710, 195768?\n\"Answer: g**3 - 3*g**2 + 195660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(500) + ((sqrt(120)\/sqrt(2))\/sqrt(12)*-5)**2 + -1 + 1.\nAnswer: 10*sqrt(5) + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/72)\/((-210)\/(-16695))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 2:26 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 1:52 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d - 4. Let z be t(-3). Let m = -527 - -526.6. Which is the second biggest value? (a) m (b) 1\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**13*(x**3\/x)\/x assuming x is positive.\nAnswer: x**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.4 - -1.75. Let r = -0.15 - z. What is the second biggest value in -0.3, 5, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19959 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + -4 - 82435\/2)*-6. Let q = -169658 + m. Suppose q = -5*k + 1129. What is k rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 4 = 5*s + 3*o, 5*o - 7 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and -9?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (328\/32)\/(110\/6600*-30)?\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 16 = 5*a, 4*i + a = 10 - 2. Is i < 1\/128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.58 - 20.42. What is the biggest value in d, -0.1, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -0.43.\nAnswer: -4.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 11. Let h be 1550\/(-55) - (-2)\/11. Let p = -10 - h. What is the highest common divisor of p and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -0.136?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -5*a**5 - 2745*a**4 + 81755*a**3 + 564085*a**2 + 871950*a + 392360 = 0.\nAnswer: -577, -4, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3 + 12634*c**2 - 24440592*c + 13253609160 = 0. Calculate c.\nAnswer: 905, 2706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j - 36. Let o be w(0). Let u = 3\/3899 + -694037\/19495. Which is bigger: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21338932 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -93 + 90 - (0 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + 2 + (-19 - -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -484*q - 456*q + 2 - 3*q**2 + 1055*q to the form x*q + k + v*q**2 and give x.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -54716 times -0.2\nAnswer: 10943.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 13*q - 29. What is v(6)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44843 + -44845. Let g = -125 + 218. Suppose -5*s = -2*q + 59, 0 = 5*q + 4*s - g - 38. Is q less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4879275127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 + 104. Suppose 0 = 4*t + o - 5, 2*t - 5*t + s = 3*o. Does 10 divide t*3 - (5 - 88\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, c: 8, q: 1}. What is prob of sequence qc?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -1. Let s be -4 + (18\/5 - 0). Is v equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1847*k**4 + k**3 - k**2 + 10*k + 157360?\nAnswer: 7388*k**3 + 3*k**2 - 2*k + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8.713 * 0.2\nAnswer: -1.7426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-19 - -1)*1638\/(-27)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1152 divided by -6\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.033 + -8.333. Let q = -8 - j. What is the second biggest value in -0.1, 2\/21, q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55332 by 13833.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 62262180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 8)*(250\/(-42) - -6).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -801*b**2*i + 80*b**2 + 203*b*i - 5*b + 5*i - 5995 wrt i?\nAnswer: -801*b**2 + 203*b + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61\/(671\/(-154))*4\/2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1125 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -97275 divided by -53?\nAnswer: 97275\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306103 and 413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + q = 22923, -5*p - 1649 = 3*q - 24568. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 14*h + 7. Let r(u) = u**3 - 4*u - 1. Let n be r(-3). Let m be (-25)\/(-2)*n\/20. Is j(m) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -51\/5 (b) 0.2 (c) -4 (d) 77555 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13496186597.00000606 + -13496187338. Let t = 1.576 + 739.424. Let c = t + f. Round c to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 4. Let t = -7.7 + 8. Sort 3, k, t in ascending order.\nAnswer: k, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 5 - 1, 0 = -4*f + 5*a + 36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331 (base 4) to base 13.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 1:15 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186930474.\nAnswer: 2, 3, 19, 61, 26881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8733.115mg in grams?\nAnswer: 8.733115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -158\/5 = -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -973*j - 478*j + 387*j - 18088 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1577207875?\nAnswer: 5, 97, 130079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 329*p + 595*p - 164*p + 1.\nAnswer: 102*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 130541291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 1\/816, 3, 33, -0.3 in decreasing order.\nAnswer: 33, 5, 3, 1, 1\/816, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lppb. Give prob of sequence plp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4 = -2*b - 0, -5*b + 4*l + 7 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(1 - 5 + 0)*(2*f - f + f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -112*r - 3131. Let a be q(-28). Solve -4*o - o = a*p - 5, -2*o = -p + 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110220020 (base 3) to base 9.\nAnswer: -443806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136 + -136. Let n be 5 + g + 0\/4. Put n, 2, 5\/3 in descending order.\nAnswer: n, 2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369800 rounded to the nearest ten thousand?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.03 - -0.03. Let z = 2 - 2.5. Which is the second smallest value? (a) m (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c + 3*c)*(-8048 + 3624 + 2928) - 3*c + 0*c + 4*c + (4*c - 5*c + 3*c)*(4 + 0 - 3) + 2 - 2 - c.\nAnswer: -2990*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 5, 2\/3, 1, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (7 - 6 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 33*r**2 - 41*r**2 + 43*r**2. Let w(y) = 9*y + 1. Calculate w(x(m)).\nAnswer: 315*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30, -71, -122, -183, -254, -335?\n\"Answer: -5*x**2 - 26*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/15 - (-138)\/30. Suppose -2*h = y - 150996, -x*y + 253286 = -5*h - 350724. What is y rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 35*t - 136. Let z be w(4). What is the units digit of ((168\/(-10))\/(-7))\/(z\/790)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 195 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.1, -0.4, 0 in descending order.\nAnswer: 0, -0.4, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 15*j + 2)*(j - 4*j**3 - j)*((0*j + 2*j - 4*j)*(5 + 1 - 4) - 5*j + 2*j + j + j + j + 0*j).\nAnswer: -240*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*f**2*p**2 + 6013*f**2*p - 17*f**2 - f*p + 215465*p**2 - 12 wrt f?\nAnswer: -56*p**2 + 12026*p - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7123 - -0.0305122.\nAnswer: -7122.9694878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.1. Let c = 0 - -1. Let l be (c\/2)\/(-3 + 5). What is the nearest to v in l, 2, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7646 + -137719\/18. Let p = -22\/29 + 929\/116. Calculate the common denominator of p and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 4835*y + 281773. Determine h(-59).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 107*b**2 + 59\/12*b**4 + 0*b + 5\/6*b**3 + 0. What is the first derivative of x(u) wrt u?\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-three quarters of a gram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232929 is divided by 70?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 - 2 = 0. Suppose 0 = -3*l + v*l + 3. Suppose -j + 1 = -l. What is the remainder when 11 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11, 3\/10, -1908, -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -702289389*q**2. Let p(d) = d**2. Determine p(k(f)).\nAnswer: 493210385901993321*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -385146?\nAnswer: -1540584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1 - -5) + -21)*1. Which is the fourth smallest value? (a) 3 (b) 0.1 (c) i (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0898 + -0.7102. Which is the nearest to 0? (a) 0.2 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/10 + 1\/30. Let q = 2.7 - -2.3. What is the nearest to -1 in -2\/5, b, q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4*k - 52, 32 = -0*d + 2*d - 5*k. Suppose 2*o + 13 = -d. Let r be (-2 - o)\/(2\/9). Calculate the highest common divisor of 18 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28258253 equal to 28258255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*3\/(-2) + (-75)\/27. Which is the nearest to -2? (a) k (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 799799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -47743, -95434, -143209, -191110, -239179, -287458, -335989, -384814?\n\"Answer: -7*c**3 - 47642*c - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84156420 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(40)\/(sqrt(40)\/sqrt(4))) + 0 + 1*sqrt(162).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6396 - 102299\/16. Find the common denominator of x and -5\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from htjtjtltntttjtljjjjt.\nAnswer: 63\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15 + 4.85. Let l = -4 - -3. Let j = l - 1. Which is the nearest to -1? (a) j (b) v (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 58*h**3 + h**2 - 2*h + 3. Is u(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20206864 divided by -1.\nAnswer: 20206864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -18. Factor -13*p**2 + k - 15*p + 3 - 7.\nAnswer: -(p + 1)*(13*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 2*o + 2. Suppose 0 = -5*k - 4*m, 32 = -5*k + 2*k + 4*m. Let t be p(k). What is the units digit of 22\/4 + t\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 9 + 5 + 4.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 10*u. Let s(r) = r**2 + 41*r + 12. Determine 2*n(v) + s(v).\nAnswer: -v**2 + 61*v + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*(-13)\/182*-406?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkakkikikka. What is prob of picking 1 k and 2 a?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (53856\/2)\/4 + -15.\nAnswer: 3, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114 - 54. Suppose 2*z - 5*d = 18, z - 6*z + i = -5*d. What is the tens digit of 6*(z\/6)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 17*g = 2. What is the third smallest value in 1\/4, g, 0.04?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 72. Let d(g) = g**2 - 11*g + 13. Let u be d(10). Suppose -1057 = -u*q - 274. Calculate the highest common factor of h and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5021000 and 6?\nAnswer: 15063000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 6\/5, 3, 0, -0.5 in increasing order.\nAnswer: -0.5, 0, 1\/10, 6\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5\/7 + 3200*x**4\/7 + 1024000*x**3\/7 + 163840000*x**2\/7 + 13107200000*x\/7 + 419430400000\/7.\nAnswer: 4*(x + 160)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9284 + 16743. Suppose g + p = 3*n + 2*g, 2*n + 4*g - 4956 = 0. Let a(u) = 2488 + 10*u**2 - n. Let y(i) = i. Determine a(y(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from nneql.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6983.4455295 - 2.\nAnswer: 6981.4455295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 0*w + w + (1 - 3 + 0)*(-79*w + 924*w + 165*w) in the form u + t*w and give t.\nAnswer: -2018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9996472?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s - 3*s - 7*s + 34*s - 70*s.\nAnswer: -70*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiri when four letters picked without replacement from {r: 16, i: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ouoouuu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 8 = 7*u + 3*h, 0 = u + 4*h - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 28*h + 1176. Let d be x(-40). Solve 63 = d*a - 47*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -28*a**2 - 3560*a - 110597. Determine u(-54).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwvwvwwwwww. Give prob of picking 2 w.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-55)\/(-45)*-1. Which is the third biggest value? (a) 0.5 (b) 2.5 (c) h (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -61*z**4 + 56*z**4 + 40*z - 3*z**2 - 10*z**3 + 23*z**2.\nAnswer: -5*z*(z - 2)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21316 + 21324. Suppose 5*z - 41 - 20 = -4*d, 0 = -2*d + 2*z + 26. Calculate the remainder when d is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56472 is divided by 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 65. Which is the nearest to v? (a) 0.2 (b) 0.3 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - (-3 - -1)) + -4. Suppose 3*s + j - 15 = 0, -2*s + 3*s = j + 1. Solve 5 = -s*y + l*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1. Let d(v) = 68*v**2 - 34. Let k(c) = d(c) + 34*p(c). Let l(s) = 19*s**2 - 52*s**2 + 31*s**2. Calculate l(k(i)).\nAnswer: -9248*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Let v = 3 - o. What are the prime factors of (-1)\/(-2) - (-13)\/v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -49*v**5\/15 - 8*v**3\/3 - 7*v**2 - 64. Let w(r) = -39*r**2 - 3. What is 3*q(z) - 16*w(z)?\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (sqrt(228) - (sqrt(228) - sqrt(228)*1)*-3))\/sqrt(12) + -4 + (-5 + sqrt(19)*-1)**2 + sqrt(19) + (sqrt(19)*-3)**2 + 0 + sqrt(19).\nAnswer: 12*sqrt(19) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 247225 a multiple of 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*d**4 + (4*d - 4*d - d**4)*(1 - 2 - 1) + 2*d**4 - d**3 + d**3 + (-17 + 17 - 9*d**3)*((4*d - 4*d - d)*(-2 - 3 + 3) - 6*d + 4*d + 5*d).\nAnswer: -43*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -13. Suppose -3*q = -8*q - 15. Let f(h) = h - 2. Let c(n) = -11*n + 43. Let a(y) = 16*y - 62. Let b(m) = -7*a(m) - 10*c(m). What is q*b(j) + v*f(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30325 = -t - h, -3*h = 5*t - 183262 + 31641. What is the thousands digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2099665*m*t + 127879*m - 3 wrt t.\nAnswer: -2099665*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**2. Let o = -16590 + 25180. Let l(q) = 8590 + 27*q - o. Calculate a(l(r)).\nAnswer: -2187*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + -43. Which is the closest to v? (a) -1\/5 (b) -0.3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10720 to the nearest 100.\nAnswer: 10700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t - 4 + 0 - 19*t + 5*t. Let k be f(-4). Suppose 5*y - o = k, y - 4*o - 6 = 7. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49.3571 and -4.\nAnswer: -197.4284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from {p: 8, h: 2, i: 6, s: 2}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*l + 23 + 7, 0 = -3*l. Calculate the common denominator of -43\/40 and b\/(-9) + 0 + (-516)\/180.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-2 - -3))\/(3 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u - 3*z = -16727, 0 = -4*u + 3*z - 13381. Let t = 5879 + u. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 26874 = 26895 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 6*o**2 + 5*o - 2. Let u be s(-7). Let g = 25 - u. What is the smallest common multiple of g and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -4.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4352.000001111 - -4352. What is m rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = w - 3*d, -5*d + 15 = -2*w - 3*w. Let f be (-95)\/(1\/(w + 2)). Let s = -61 - f. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1206 - -2142. Let q = 936.000947 - r. Round q to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6654 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**5\/60 + 13*l**4\/24 + 8*l**3\/3 + 8*l**2. Let s be x(14). Let j be -3 + 3 + s\/2. Solve z - j = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.94 and 3597.\nAnswer: -35754.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 133*m**2*s + 3*m**2 - 35187*m - 33895431*s + 1 wrt m.\nAnswer: 266*m*s + 6*m - 35187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3027)\/3030 + (-2)\/(-2))\/((-538)\/108945) and 125\/36.\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72.966 - -0.034. Let f = -41 + o. Sort f, 1\/4, -3, -0.4 in ascending order.\nAnswer: -3, -0.4, 1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**(-3\/11)*w*w)\/w*w)\/(w*w*w*w**(-42)))\/((w\/(w\/w**(-3\/7)))\/w)**47 assuming w is positive.\nAnswer: w**(8502\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 162*q**2 + 13*q + 23. Let v = 123 + -125. Does 38 divide t(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2717 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2156 and 4466?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -0.5 (c) -1\/4 (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -13*q - 5*o, -109 = 5*q - o - 117 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 5:45 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m**3 - 8*m**2 - m + 213. Calculate the lowest common multiple of 72 and l(-5).\nAnswer: 22824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 415, 588, 761, 934?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**11)\/((m*m**(3\/5))\/m)*(m\/m**(-4\/7)*m)\/m**(2\/13) assuming m is positive.\nAnswer: m**(-3723\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 12. Let d(f) = -f + 11. Let g be d(7). Suppose -h = -2*u - g. Solve 11 = -0*l + u*l + 4*y, -y - 26 = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -672?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 4*m + 3*m - m + 29 + m + 9*m**2 to the form t + u*m + i*m**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*s - 56*s - 53339 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15974316?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -561005 - 3076?\nAnswer: -564103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 184 in -9, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/126)\/(52\/(-182)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.23025 - -0.02005. What is z rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*b**2*p**3 - 6*b**2*p**2 - 2*b*p**2 + 43*p**3 wrt b.\nAnswer: 18*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + w**2 + 12*w + 1. Let b(j) = -15*j**3 - 3*j**2 + 49*j + 2. Calculate b(c) - 4*o(c).\nAnswer: -19*c**3 - 7*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 20 = 4*s, 3*i + s + 8 = 6*s. Let r be (2*(-20)\/(-15))\/(2\/i). Let v be (0 - -5)*(-12)\/10. Which is bigger: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/49*(-49)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from {f: 1, g: 1, s: 1, b: 1, k: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-5)\/q)*q**(-1\/28))\/(q**1*q**(-2\/31)) assuming q is positive.\nAnswer: q**(5233\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*a + 61305, j - 20435 = 239*a - 243*a. What is the thousands digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 3 - 3 - 2*k**2)*(-3231*k + 3231*k - 78*k**2) to the form m*k**3 + g*k + x*k**4 + y + i*k**2 and give m.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5 - -13) + -7)\/(-7*2\/8)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*244.\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1492*w + 15. Let n(f) = -681095*f - 6849. Give 2283*c(v) + 5*n(v).\nAnswer: 761*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 12 - -4 - 18\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/9 + 1589932*w\/9 + 1589938\/3.\nAnswer: -2*(w - 794969)*(w + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by (-4 + 15 + -13)*14\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j - j + 35999955 = 0. Let l = 62 - 59. Let n be l + -3 + -4 - (j - 1). What is n rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/8 and 143\/26331912.\nAnswer: 26331912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 19. Calculate the remainder when u is divided by 1\/4*(12 + 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/6)\/((-19)\/57). Suppose 0*o = -l*o + 28. Suppose 0 = -8*w + o*w + 152. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 58*x - 177. Let y be t(3). Let i be (y\/5)\/((-22)\/110). Let c be (1 + 1)*(-2)\/(-24). What is the nearest to -17 in i, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m = -1088. Let v(k) = -4*k + 1088 - m. Let i(u) be the first derivative of 2*u**3 + 2. Calculate v(i(y)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1015 - -258?\nAnswer: -757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -o - 3*a, -3*a = -2*o + 33. What is the units digit of (-68)\/(-8) - (-6)\/o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5612 - 5608. Let z be 9\/(-6)*8\/6. Sort z, -1, j in descending order.\nAnswer: j, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8*f**2 - 16*f. Let z be b(-1). Let r = 5 - 3. Put 3, r, z in increasing order.\nAnswer: r, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437952825 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - t**2 - 2*t + 3 + 2*t - 2. Determine j(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (111\/6 - 1) + (39\/6 - 4). Solve 19*a - 7 = 18*a - h, 0 = -2*a - 5*h + d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1363 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzkkzzzkzzz.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1321 and 9.\nAnswer: 11889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 4. Let b be -4 + -7*2\/(-2). Suppose 0 = 3*a, 2*u - b*a = a. What is h(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1068*k + 1458 + 1467 + 2862*k - 2925 to d + g*k and give g.\nAnswer: 3930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 33. What is the closest to s in 3, 1\/6, -0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 7. Suppose -10 = -2*t - 2*s, 2*t + 4 = 5*s - 14. Let l(o) = -2*o + t - 2*o - o + 1. What is l(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**3 - 6*b**2 - 16*b - 6. Let u be v(-7). Let d = u + 9661\/8. Let t = -3163\/312 + -3\/104. Find the common denominator of d and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*l = h - 310*l + 6, 0 = h + 3*l - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79771 to the power of 1\/2, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643388093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 419914431 to the nearest integer?\nAnswer: 20492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 991*k - 89. List the prime factors of a(6).\nAnswer: 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -11 - 2*u - 4*u**2 + 2*u. Suppose 2*k - 19 + 7 = 0. Let j(z) = z**2 + 3. Let l(a) = k*t(a) + 22*j(a). Let y(f) = -f. Give y(l(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1. Let n(m) = 3233*m + 3225*m - 6460*m + 16 + 7. Determine -4*j(y) - n(y).\nAnswer: 2*y - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 17 = -g. Let x = -38 + g. Solve 0 = 2*w + x*n - 5*n - 10, -5*n - 15 = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195003 is divided by 768.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 + -96. What is the tens digit of 2589\/12 + b\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - (-6 + 15 + 12).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5730*i**4 + 2*i**3 + 2*i**2 - 18283 wrt i?\nAnswer: 22920*i**3 + 6*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 4230*h + 292600.\nAnswer: 5*(h + 76)*(h + 770)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -14396807 less than -14396803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -294564\/2909753 + -2\/13409. Find the common denominator of q and -3\/589.\nAnswer: 4123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18347629 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**3 - 1. Calculate d(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 5. Suppose 0*p + 2*p - u = r, -5*u - 5 = 3*p. Solve 2*j + 2 + p = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 9 = -7 + 14, 0 = -5*o - 4*z + 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -182, 10106 in decreasing order.\nAnswer: 10106, 5, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -11. Suppose 3*n + s*n - 400 = 0. Suppose 3*h = -0*h - 4*u + n, h = -2*u + 28. Calculate the highest common divisor of 192 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-12 + 4) - -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -58.9. Let c = -0.46 - 0.04. What is the smallest value in t, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 1230120000?\nAnswer: -1230113330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2*u\/u**3)\/(u**3*u**(-2)) assuming u is positive.\nAnswer: 1\/u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 25*v**4\/2 + 20*v**3 - 283*v**2\/2 - 89*v - 12 = 0.\nAnswer: -4, -2\/5, -1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c*f**3*i**3 + 3569*c*f*i**2 + 6*f**3*i**2 + 640*f**3*i + 2*f*i**3 wrt c?\nAnswer: -f**3*i**3 + 3569*f*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 7*k**2 - k + 4. Let b be t(7). Let w be 2\/b*(-9)\/2. Solve w*v**2 + v**4 + v - 3*v**3 - v - v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -118*j**2 + 619*j - 167. Give x(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*g - 49. Let b(o) = -o**3 - 6*o**2 + 21*o + 22. Let z be b(-9). Calculate the highest common factor of g and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 9*w**2 - 4*w - 15. Let s be m(8). Let z(n) = n - 13. Let r be z(s). Find the first derivative of -10 - 16*o**4 + 3*o**3 - 3*o**3 - r wrt o.\nAnswer: -64*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 6*d + 3. Let m be i(-6). Suppose -4*u - a = a - 102, -54 = -3*u + m*a. What is the remainder when u is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -998*c - 7. Let v(h) = 994*h + 6. Give -6*n(j) - 7*v(j).\nAnswer: -970*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 620*l**3 + 10*l**2 + 49*l - 219. Is f(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 8. Give f(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3563 - 12*w - 13*w - 19*w - 11*w + 63*w.\nAnswer: 8*w - 3563","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + 76\/(-15))*(-7 - -4). Suppose c - 4 + 2 = 0. Suppose -3*o - c*o + 10 = 0. Put o, -0.01, t in descending order.\nAnswer: o, t, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 - 152446*o**2 + 304890*o - 457334\/3.\nAnswer: 2*(o - 228667)*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -7895718.1 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378) + (sqrt(378) - (1*sqrt(378) - sqrt(378))*2) - -1*sqrt(378)*-2)\/((sqrt(6) + (sqrt(168)\/sqrt(4))\/sqrt(7) - sqrt(6)) + -2*sqrt(6)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10 (b) -0.1 (c) -4 (d) 5547.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*a + 7*a + 107, 347 = 3*z - 2*a. What is the remainder when z is divided by -4 - 7\/(-2)*18?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(68) - -4*sqrt(68)*-5)*-5 + -3 + (sqrt(68) - (sqrt(68)*4*-2)**2) + -4.\nAnswer: -4359 - 568*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 37 = -22*c + 17*c, 4*m + 5*c + 9 = 0. Let p = 132 - 60. Suppose 0*v + 18 = h + v, m*h = v + p. What is the least common multiple of h and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + f + 17 = 0, -56*w = -55*w - 5*f + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.55 plus 3539683?\nAnswer: 3539558.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + w + 6*w - 5 + (0 - 2 + 4)*(-2*w + 2*w + w).\nAnswer: 9*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19971 and -4.\nAnswer: -19975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0 - 2, 2*j + 88 = 5*n. Let x be (-30)\/(-7) + n\/(-63). Solve -a + 8 = a - 3*u, 2*a + x*u = -6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -337\/4 - -83. Let n = 2.3 + -2.4. Sort -1\/8, n, u in descending order.\nAnswer: n, -1\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100 - -898\/9. Let b = -203.5 + 201.8. Put -0.4, b, g in decreasing order.\nAnswer: g, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3)\/(z*z**(-3\/4)*z))\/(z*z**(2\/11)*z*(z*z*z\/z**3)\/z) assuming z is positive.\nAnswer: z**(-233\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5 - 3, -q = 3*c - 68. What is the remainder when q is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 + 102. Suppose 2*r - 4*g - 176 = 0, -3*r + 2*g + 212 = -t. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.66488 to 2 decimal places.\nAnswer: -11.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**6\/120 + f**5\/60 - 5*f**2. Let q be i(-1). Find the third derivative of 7*u**3 - 7*u**3 + u**q - 4*u**3 wrt u.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 423179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.95 + -0.05. Let j(l) = -3*l**3 + 2*l**2 + l. Let h(s) = -s**3 - 8*s**2 - s - 9. Let r be h(-8). Let b be j(r). Sort 0.1, b, a.\nAnswer: a, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 119 = 441. Let x = 75 - n. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/274 and -117\/890.\nAnswer: 121930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2692 + 21463\/8. Let h = -10\/1961 - -51405\/466718. Calculate the common denominator of h and c.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -300? (a) 1\/2 (b) -0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -6*i**5\/55 + 30*i**4\/11 - 236*i**3\/11 + 540*i**2\/11 - 486*i\/11 + 206. Factor t(a).\nAnswer: -6*(a - 9)**2*(a - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 i when two letters picked without replacement from izoozzdiqzololzizdd.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 11059538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 741*568\nAnswer: 420888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ea170 (base 15) in base 6?\nAnswer: -52110353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34804, 34797, 34790, 34783, 34776, 34769?\nAnswer: 34762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 1\/6*i**3 + 0 + 3*i + 1\/12*i**4 + 0*i**2. Factor v(c).\nAnswer: c*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - r = p + 8, 3*p + 2*r - 19 = 0. Suppose 5*h - s - 12 = 0, 0*s + p*s = h + 12. Put h, 1, -3 in descending order.\nAnswer: h, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17726 + 177923\/10. Is 67 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 73*a - 69*a - 3 = 0, 4*a = -s + 1. Let m(i) = 53*i**2 - i - 1. Give m(s).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 5*i**2 - 8*i + 16. Let c be s(6). Is 29 a factor of -2*c\/6 - (-2120)\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19701014743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15898.00007685 - 15898. What is w rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001389297737 to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let d(b) = -12*b**2 + 2. Let g(l) = -24*l**2 + 5. Let w(x) = 10*d(x) - 4*g(x). Give t(w(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1\/7 (c) -5 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**3 + 71016*n**2 + 5635228*n = 0?\nAnswer: -79, 0, 17833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 15 + 6 + 7 + 2*m + 5. Let x be z(-14). Solve 4*g - 15 = -3*i + 4*i, -3*g + x*i = 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -93? (a) 0.7 (b) 0.03 (c) 1 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5*g - 2, -g = -2*n - 58 + 18. Let b = -6 - n. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58410 = -4489*t + 4434*t. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + (3*4*sqrt(228) - sqrt(228)) + sqrt(228) + sqrt(228) + sqrt(228)*4*4)\/(sqrt(1452) - sqrt(1452)*-1*2 - 2*sqrt(1452)*1).\nAnswer: 30*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (11 + -12 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53884099 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2048067 and -68\/6005349?\nAnswer: 354315591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-35) - 182\/(-60). Let d = -1\/3 + r. Let y be (-1 - (-4)\/6)*-6. Which is the second biggest value? (a) 0 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -11. Suppose -3*h + 11 = -a. What is p in p - 10*p - p**3 + 1 - 1 - h*p**2 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -266, -7 in descending order.\nAnswer: 3, -7, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.88271 - 0.11729. Which is the nearest to 1\/2? (a) -3\/2 (b) 3 (c) p (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 418505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzslqlydlslyllys. Give prob of sequence dsy.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -104?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12733, 50720, 114033, 202672, 316637, 455928, 620545?\nAnswer: 810488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*o = 76*o + 3496. Let j(n) = -n**3 - 21*n**2 - 34*n - 3. Calculate j(o).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnn. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/315)\/(5\/175)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -3.1. What is the closest to i in 0.3, 1\/3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f**(-7)))\/(f**(1\/4)\/f*f)*f\/(f\/((f*f**3)\/f))*f**7\/f)\/(((f**(-2\/15)\/f)\/f)\/(f*f**4)*(f*f**(-2\/7)\/f*f*f)**(-12)) assuming f is positive.\nAnswer: f**(17831\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -28. Let g = j - 4. Let y = -11.5 + g. Which is the second smallest value? (a) 1 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 6 + 95\/(-19). Suppose o = -390*h + 398*h - 40. Solve 0 = h*t + 9 + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -129, -10, 3, 910, 4 in decreasing order.\nAnswer: 910, 4, 3, 2, -10, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -146.71 and 0.469.\nAnswer: -146.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 64*o - 257 = 198. Let a(h) = 12*h**3 - 3*h**2 - 3. Let k(t) = -25*t**3 + 7*t**2 + 7. Give o*a(g) + 3*k(g).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 621*o - 573*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b**2*p + 256*b*l**2*p**2 - 86*l**2*p**2 + l**2 + l wrt b?\nAnswer: 8*b*p + 256*l**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + b - 45 = -46, b = 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -28*d - 202. Let g be p(-7). Let f be ((-45)\/34)\/(9\/36). Are g and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 844*t + 835*t - 1678*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*z - 3, 1 - 5 = -i - 2*z. Let y(x) = 5 - 3 + 1 - 4 - 2 + 4*x. Let d(n) = -4*n + 4. What is i*d(k) + 3*y(k)?\nAnswer: 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.39? (a) -107 (b) -4\/3 (c) 4 (d) 0.1 (e) -1\/57 (f) -2.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 43*r + 1. Suppose -4 = -2*b + 12. Suppose -3*a = b - 11. Does 44 divide s(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1412 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzohdzou. What is prob of sequence odu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29 and -2983211.9?\nAnswer: 86513145.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59.32 + -60. Let v = 7.68 + b. Let o = -8 + v. Which is smaller: o or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -155, -3, 0, 16, 5 in decreasing order.\nAnswer: 16, 5, 0, -3, -8, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*a - 16*a - 20*a - 12*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 175\/6 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from {m: 4, b: 5, r: 10, q: 1}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*w - 7 - 367*w + 0 + 5 - 114*w in the form i*w + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 + 3*i + 2. Let o be r(-1). Let u(b) = -b**3 - 4*b**2 - 2*b + 3. Give u(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -15) + (-5 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235435633?\nAnswer: 1201, 196033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 15*t**2 - 13*t - 5. Let b(w) = 7*w**2 - 7*w - 2. Let n(l) = 13*b(l) - 6*s(l). Let a be n(7). Let x = 65 + a. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 5*p**8\/336 - 5*p**4\/24 + p**2. What is the second derivative of c(i) wrt i?\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 120.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 1\/30*t**5 + 0*t + 0*t**4 + 0*t**3 + 5*t**2 + 0. Let q(n) be the second derivative of -n**3 + 2*n. What is q(h(j))?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*o + 585*o = 56 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a*a*a*(a*a**9*a*a)\/a*a*a*a)\/a*a)\/(a*(a*a\/(a**2*a))\/a*a*a))**6)**(-6\/19))**19 assuming a is positive.\nAnswer: a**(-576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/875, 9\/25, 0.1, 4, 5 in descending order.\nAnswer: 5, 4, 9\/25, 0.1, 2\/875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 - b**2 - 5*b - 4. Let q be r(-3). Let t = 60 + q. Solve -2*o - o = 4*d + 11, -o = -d - t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 96*f**2 - 1343*f - 17. Determine q(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t - 18. Let f be z(5). Calculate the greatest common factor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) -0.09 (c) 5 (d) 0.2 (e) -0.037955\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-420)\/(-30)*-6*2\/14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(((w*((((w*w\/w**(-3\/2)*w*w)\/w)\/w)\/w)\/w)\/w)\/w*w)))**36 assuming w is positive.\nAnswer: w**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1761 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -452441643 or -452441644?\nAnswer: -452441643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.122 + -6.578. Let z = -7 - a. Let g = 1.03 + -0.63. What is the closest to 0 in z, g, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212595059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4854\/11 in -0.2, 2, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*g - 20360 = 45*g - 3*p, 3*g - 5*p - 61136 = 0. List the prime factors of g.\nAnswer: 2, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**2 - 3. Calculate p(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = -5*b, 3*a - 4*a = -3*b - 3. Suppose b = 4*l + 6 + 2. Is 12 a factor of 5*6*(-2)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 12:28 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 79917 to the power of 1\/2, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from dzdedgejebdz.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 119634 divided by -4851\nAnswer: -39878\/1617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -187.52 - 295.\nAnswer: -482.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371, -1699, -3867, -6875, -10723?\nAnswer: -15411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*h - 106*h - 144*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmjfjkjgmkgjjkggmjs. What is prob of sequence ks?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59526344 to the nearest integer?\nAnswer: 7715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 1809 - 6575 = -157. Calculate the remainder when b is divided by 108.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-8))\/((20\/(-480))\/((-2)\/6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3*s - 9 = 0. Let k be 4\/(-14) - (-354)\/14. Let c be 10\/k + 54\/15. Sort c, 0, s in decreasing order.\nAnswer: c, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(110) + (sqrt(110)*-3 - sqrt(110))))\/((sqrt(10) - (sqrt(10) + sqrt(120)\/(3*sqrt(12)))) + sqrt(10)).\nAnswer: 27*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-60)\/14 + 4 - (-36)\/(-21). Calculate the common denominator of 31\/2 and w\/(-4) - 128\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -177446 from -0.045449107.\nAnswer: 177445.954550893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*q = -i + 12, -3*i = 0. Suppose -5*c + 10 = 0, 0 = q*h - 2*h + 5*c + 46. Is -1*(h + (-25)\/5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/8 - -1)*-24. Let g = -8 - v. Let o(d) = d - 3. Let a be o(6). Solve n = g*f - 9, -3 = a*n - 0*n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -228 + -102251?\nAnswer: -102480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -6 - (18 + (-11 - 15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007814 rounded to seven dps?\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2656 is divided by 531.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/u**(2\/11)))*(u*u*((u*u\/u**(-1\/13)*u*u*u*u)\/u)\/u*u*u)\/u*u)\/((u**(-6)*u)\/(u*u**8)) assuming u is positive.\nAnswer: u**(3274\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*f = 127, 3*p + 61 + 34 = -2*f. Let v = 47 + p. What is the greatest common divisor of v and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 188.416 (c) -2 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a minute in seconds?\nAnswer: 765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(108)\/(sqrt(9)*1) + sqrt(12)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 divided by -5?\nAnswer: -513\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(1331) + 5 + -3*sqrt(1331) - sqrt(1331)))**2 + (0 + sqrt(1331) + sqrt(1331) + -1 + 2)**2)*-2.\nAnswer: -610850 + 16412*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 600 = -m + 2665, -4122 = -2*m - 4*u. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 14. Let r be o(-10). Suppose -r*i = -6*i + 52. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7017607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 6*p**2 + 5*p + 3. Let b be g(7). Let d be 0 + b + (-3 - -3). Let r = -10 - d. Calculate the lowest common multiple of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.298367 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.2, 0.08, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddq. What is prob of picking 3 d?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 121780 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.65532 - 0.7719. Round k to 3 decimal places.\nAnswer: -0.117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 4\/7*p**4 + 3\/245*p**7 + 16\/21*p**3 + 0 + 0*p + 15*p**2 - 4\/21*p**5 - 2\/5*p**6 + 45\/392*p**8. Determine r so that m(r) = 0.\nAnswer: -2\/3, -2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**4\/36 - 2*s**3\/9 + 2*s - 12. Solve a(f) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 4160?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 544514 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/34, 0.3, -5, -0.1.\nAnswer: -5, -0.1, 1\/34, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 + -6. Suppose 15*m + o = 29. Which is the second biggest value? (a) m (b) -2\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/3 + 0 - 3. Suppose -x*h = d - 17 + 1, 0 = -4*d + 3*h + 31. Suppose -500 = -0*t - d*t. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - x + 5202 = 0, -5*m + 3*x = -1820 - 6850. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-6))\/((7 + -9 - -9)\/(-2))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -159, -237, -315, -393?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**3*k**3 - 5873*h**3*k**2 - 27*h**2*k**3 - 3*h*k**3 + 4*k**2 wrt k?\nAnswer: -12*h**3 - 162*h**2 - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*i + 747 + 132*i - 1503 + 756.\nAnswer: 95*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -31*g**6\/8 + g**5\/20 - g**4\/12 + 1675*g**3 - 87*g**2 - g - 3. Differentiate v(x) wrt x.\nAnswer: -1395*x**2 + 6*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2432282.\nAnswer: 2, 101, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 72 + 2*r**2 + 4*r - 26 - 36 + 0*r. What are the prime factors of g(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -211*l**3 - 90 + 75 + l + l**2 + 209*l**3 as q*l**2 + t*l**3 + a*l + w and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 0 + 0 - 2*a. Let w(i) = 17*i + 22*i - 16*i + 7*i. Give z(w(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17659?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t**2 - 7*t + t + 6*t.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybbncoccebynneyb. What is prob of picking 1 c and 1 o?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15589 - 15594. Which is smaller: 0.0946 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 322909, 322948, 322987, 323026, 323065, 323104?\nAnswer: 323143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 9 = 5*c, -7 = 2*f - 2*c - c. Suppose -3*n = -8*n + 10. What is the smallest common multiple of ((-8)\/n)\/((-4)\/22) and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/330 + n**4\/132 - 4*n**3 + 576*n**2 + 2. Factor z(l).\nAnswer: 2*(l - 11)*(l + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -123 - -123. Suppose -2*k - 3*k + 10 = f. Suppose -2*z + k = 2. Solve z = 5*a - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4065314 is divided by 2488.\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 76170910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37 - 7) + 0 + -6 - (5 - 10).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n*s**2*z**2 + 6215*n*s*z**2 + 4*n*z**2 - 847*n*z wrt s.\nAnswer: -2*n*s*z**2 + 6215*n*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 22?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by 23?\nAnswer: 51\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 72965344 * 5\nAnswer: 364826720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 850081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, i: 2}. Give prob of sequence uiu.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 1)*-2*6\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14*17\/14161)\/(32\/(-1344)).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1006214.4 to the nearest one thousand.\nAnswer: 1006000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000320758737 rounded to seven decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 5*m**2 + 7*m + 2. Let c be z(6). Suppose 0 = 7*o - 3*o - c. Let f = 61 - o. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = 4*p + 3*z, 9*z - 10 = 4*z. Which is greater: p or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 480*l*m**2*u**4 - 6*l*m**2*u**2 + 2*l*m**2*u + 8*l*m*u**2 - 7*m**2 - 9*m*u**4 wrt u.\nAnswer: 11520*l*m**2*u - 216*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -46 + -a?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o - 4*o + 896913*o**2 + o + 16*o - 896919*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251633*h**3 - 251611*h**3 + 6129*h**2 - 6129*h**2.\nAnswer: 22*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/12)*n*n**(-1\/5))**40 assuming n is positive.\nAnswer: n**(106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26378.24 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3360 and 1092.\nAnswer: 43680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*a + 5*c - 29, 3*c - 22 = -5*a. Suppose 0 = -p + 6 - 4. Find the third derivative of -4*y**4 + a*y**2 + 2*y**4 - 4*y**p wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let v = -0.556 + 441.056. Let d = v + -441. Which is the nearest to n? (a) -2 (b) d (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5165*v - 2591*v = 2582*v + 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -5 + sqrt(2) + sqrt(8) - ((sqrt(126)\/sqrt(7))\/sqrt(9) - sqrt(2)).\nAnswer: -5 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 31*g**2 - 60*g - 32. Let s be c(-29). Suppose s*l = 7*l + 2698. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*l - 367 - 1438 = 0, -4*l = -5*f + 1805. Suppose 53 = 6*o - f. List the prime factors of o.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -97, -3\/23, -5, 43 in descending order.\nAnswer: 43, 1, -3\/23, -5, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44328509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 12 + -67 + 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 354475489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 383\/12 - 98\/3. Let r = 19 + -22. What is the biggest value in j, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 48\/5 of a meter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17450 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 0*g**3 - 41\/30*g**5 + 0*g**4 + 0*g + 157*g**2 + 0. Let n(l) = l. Give n(x(i)).\nAnswer: -82*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-8)\/60)\/((-6240)\/(-325) - 20).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 34 + 54 = b, -2*b + 20 = -n. Let t be (-125)\/n - (50\/(-8))\/(-5). Solve -z = h + 5, t*h + 19 = -4*z - 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(5\/(-1)))\/(-28*174\/(-138040))?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2885035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5107.3 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-16)\/(-3)) + 22\/12\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 9 + 7*k - 2 in the form z + x*k and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 8 + 10)*((5*q - 2*q - 2*q)*(-1 - 1 + 1) - 1 + 1 + 2*q).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 9*v = -5*v + 16, -306*m + 4*v = -301*m + 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -779*a + 779*a + 4819*a**2 - 2*a**3.\nAnswer: -2*a**3 + 4819*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122512 a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 at most as big as 67730\/127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -9377.7.\nAnswer: 562.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98928 and 32976.\nAnswer: 98928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116433217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + q = -6*z - 55, 3*z - q = -36. Let u = z + 11. Let y(m) = 40*m**2 - 3*m - 3. Is y(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -49. Let p = -1\/1717 + 1773\/96152. Which is greater: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140703.\nAnswer: 3, 46901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2))**(-5\/12)\/(u**(-1\/31))**48 assuming u is positive.\nAnswer: u**(997\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1623 + 3571 - 1702 + 2*t + 5*t**2 in the form v + x*t + r*t**2 and give v.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19070, -76277, -171616, -305093, -476714, -686485, -934412, -1220501?\nAnswer: -1544758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8336196ml?\nAnswer: 0.0008336196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29544 - 28318. What is the smallest common multiple of s and 3678?\nAnswer: 3678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.401295072 rounded to 4 decimal places?\nAnswer: 3.4013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(4\/21)\/(x**(-1))**(1\/20))\/((x*x**1*x*x)**(-3)*x**(-1)\/(x**(2\/11)\/x)) assuming x is positive.\nAnswer: x**(55631\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 20. Suppose -a + 1176 = i, l*a - i = 1806 + 1706. Suppose 10*g - 8*g - a = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/40*-5)\/((-525)\/(-450)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/580 and -7\/1683825?\nAnswer: 195323700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-259)\/111)\/((-14)\/114).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -416784 less than -3?\nAnswer: 416781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-196)\/(-10)*(-18440)\/(-12908).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/((-4)\/60*-1). What are the prime factors of (2 + -7)*(i + 2814\/(-30))?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 17 - 74)*(-5*z**4 - 2*z**4 - z**4).\nAnswer: 456*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 8*q + 2. Let o = 142 + -150. Let w be z(o). Solve -13 = -w*s - 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7*h - 99*h**2 + 8*h**2 - 80*h**2.\nAnswer: -171*h**2 - 7*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.884 and -4?\nAnswer: -3.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -5 (b) 1\/4 (c) 10.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*o - 26*o**3 + 19*o)*(-89*o + 196*o + 19*o) - 4*o**4 + 3*o**4 + 0*o**4 to the form m + x*o**4 + v*o + d*o**3 + p*o**2 and give x.\nAnswer: -3277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1029)*2 + sqrt(1029)) - 2*sqrt(1029)*-6)\/(sqrt(735)\/sqrt(5) - (((sqrt(3)*-2 + sqrt(3) + sqrt(3) + sqrt(3))*-6 - sqrt(3)) + sqrt(3))).\nAnswer: 189*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -214756 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1087 - 75001\/69. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3529509*u**6 + 11*u**2 - 22457 wrt u.\nAnswer: 423541080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 181.\nAnswer: -4\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -9.43198.\nAnswer: 9.43198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 3\/(9\/(-6)). Suppose 190 = -0*g + f*g. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 3*v + 12, 2*h + 2205*v - 2200*v = 23 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2404.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35266706 and 6478?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 308432492 to the nearest integer?\nAnswer: 17562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 57*t + 662. Let x be l(41). Solve -x*u + 384 = 378 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13327 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2400031645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 84677 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -1.2504?\nAnswer: -6.2504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*j**3 - 9*j**3 + 16*j - 4*j - 3*j**2 + 3*j**2.\nAnswer: -70*j**3 + 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37385, -36916, -36135, -35042, -33637?\nAnswer: -31920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*d**3 + 688*d**3 - 158*d**3.\nAnswer: 982*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - 13. Suppose 0 = 2*f + 3*f + m - 58, 3*m = 3*f - 42. Calculate the smallest common multiple of f and (-390)\/r - (-3)\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 5*q + 8. Let j be v(5). Let b = 42 - j. Let y(o) = 7 + 1 - b. Let f(t) = t + 2. Give f(c) + 2*y(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*i - 169*i = -25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-60))\/((-4)\/(-10))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 11) in base 8?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d**3 - 31*d**2 + 123*d - 18. Calculate s(-10).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 1. Let d be b(11). Suppose 643 = d*x - 587. What are the prime factors of x?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 24*v - 49*v + 27*v + 45, -75*v + 71*v = 8*i + 68 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 301\/1233 - 3\/137. Let u = -5\/12 + -1\/12. What is the third smallest value in u, -4\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttee. Give prob of sequence tett.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**3 + 7518 + 11*o**3 + 63 + 17*o**3.\nAnswer: 16*o**3 + 7581","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-56.41325.\nAnswer: 56.41325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 322.\nAnswer: -1\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150923*n + 150933*n - 603714*n + 150929*n + 3*n**2 + 150929*n - n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 384 = 4*g, 0 = 9*g - 7*g - 5*n - 166. What is the second derivative of 12*v**5 - 55*v - g*v**5 + 103*v wrt v?\nAnswer: -1620*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22402 is divided by 431?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*x + 21 = 70*x. Does 40 divide (-4398)\/30*-3 + x\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2 = 26. Let r be 2\/(-5)*(-3 + (1 - y)). Solve 0 = 2*b - g + 3*g - 8, -2*g + r = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -947*t**4 - 2*t**3 - 1089*t**2.\nAnswer: -22728*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 10 = -6*v. Let d = 2 + v. Solve d*n - 11 = -31 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -7*q**4\/8 - 11*q**3\/6 - 4*q**2 - 96. Let g be 32\/(-6) + 2\/6. What is the tens digit of w(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/5, 0.4, 5, -0.01, -2.12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 3\/2 (c) 99\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) -0.3 (c) 23798 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 12.63 (c) 23 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-3 + -1 + -1). Suppose -1 = -2*x - f, 4 = y + x. Let t(c) = 4*c + 2. Let d(q) = 2*q + 1. Let o be -1 + 1\/(2\/(-24)). Calculate o*d(z) + y*t(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + y + 30 = 0, 5*y = 4*c - 3*c + 4. Let s = 29 + c. Solve -4*d + d - s = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 z, and 2 l when four letters picked without replacement from lnznrnlnnnrrznnl?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**4\/12 - 7*q**3\/6 + 9*q**2\/2 - 2*q. Let f be y(7). What is w in 3 + f*w**2 - 1 + 0 - 11*w**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10177 is divided by 105.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 - 468*f + 14*f**4 + 466*f - 2*f**2 - 4 + 6*f**4 as a*f**3 + l*f**4 + o*f + c*f**2 + q and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*g + 180 = 0, 3*g - 58 = -3*i + 23. Solve -f + 3*b = 4*f + i, -8 = -3*f - 5*b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -11)*(0 - -2). Suppose 42 = 3*a - 2*a. Let h = n + a. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 3*z - 9, -4 = -5244*z + 5242*z - s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (12 + -16) - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 10) in base 16?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -23 + -9 + -13 + 94?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/25810 and 63\/50.\nAnswer: 129050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-7))\/(1\/(-7)). Let c(k) = 5*k**5 - 4*k**4 - 5*k**3 - 2*k**2 + 6. Let m(g) = g**5 - g**4 - g**3 + 1. Let o(d) = v*m(d) - c(d). Factor o(l).\nAnswer: l**2*(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 4*b, -b + 21 = 5*z + 2*b. Let m = z + -4. Let h(o) = -793*o + 6342. Let i be h(8). Sort m, i, 1.\nAnswer: i, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 68 + 130 = -92 - 206 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 546 = 371*r + 3213 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 5*z**2 - 11 - 4*z**4 + 1 + 6 to l*z + i + t*z**2 + v*z**4 + f*z**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*u**3\/3 - 3290*u**2 + 942*u - 202\/3.\nAnswer: -2*(u + 101)*(7*u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(11) + 4 + sqrt(539)*-2.\nAnswer: -13*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 2*q - 13, -1194*z + 2387*z - 1195*z = -4*q - 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -2 - (5 + -2 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 6*i**2 + 4*i - 13. Let r = 1122 + -1116. Give y(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 1, 3, -1, 4.\nAnswer: -1, 1, 3, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2288*y - 89762 + 60360 = 187958 for y.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-1 - 3) + -4. Let g = b + 62. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - 33. Let z(f) = -f**2 + 12*f - 1. Let j be z(o). What is the common denominator of j\/8*(-7)\/28 and 5\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 2) + (2 - -10 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/3 + 98956*v\/3 - 1089242 = 0. Calculate v.\nAnswer: -49511, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51800 = 2*v - 2*u, -12*u = 4*v - 11*u - 103600. What is v rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 427*k**2 + 13705*k - 66. What is a(-30)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(0 + (sqrt(55)\/(sqrt(11) - (1*sqrt(1331) + sqrt(1331))))**2 - ((-1*sqrt(1440) - sqrt(1440)) + sqrt(1440))\/((sqrt(18)*2)\/sqrt(9))).\nAnswer: 10\/49 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -72, -111, -156, -207?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3771 + 3781. What is the smallest common multiple of 80 and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -29*x - 18. Is z(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -303*o**2 - 13*o - 20. Let r(i) = 102*i**2 + 4*i + 6. Calculate 4*c(q) + 13*r(q).\nAnswer: 114*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-6)\/3)\/(16\/(-4776))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -4*n + 7 + 3, 3*y = -2*n + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2742764 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1472\/689 + 5\/53. What is the common denominator of k and -76\/3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 7*s**2 + 4. Let k be l(7). Suppose 2 = -j - k*o, -3*o - 82 = -4*j - j. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8681.643t to kilograms.\nAnswer: 8681643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*o + o - o)*((0*o + 3*o - 4*o)*(-3*o + 3*o - o) + (27*o + 33*o - 18*o)*(6*o - 3*o - 4*o)).\nAnswer: 82*o**3 - 205*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -287*p + 291*p - 5*k + 1, 3*p - 3*k + 3 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 511315812 and 898.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 226.82 - 225.82. What is the fourth biggest value in 5\/9, n, -0.3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/((z**(-3\/16)\/z)\/z))\/z)\/(z\/(z\/((z\/(z*z*z**(-4\/17)))\/z))))**(-3\/5) assuming z is positive.\nAnswer: z**(-4041\/1360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-3 + 0 - (26 + -32))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 48\/5 of a kilogram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 2, 0.5, 1 in decreasing order.\nAnswer: 13, 2, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 20 = -t + 5*s, -4*t + 4 = s. Solve 4 = g, -6*z + 4*z + 2*g = t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 126*o + 918. What is k(-7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 30*m - 1\/2*m**4 + 12*m**2 + 49\/3*m**3 + 18. Does 2 divide p(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 17 = -2*k + 1, 4*k + 4 = 4*g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21360\/25 - (-36)\/(-90) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5) + 2 - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 2*n. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**2 + 12*k**2 - 7*k**2.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1142, -8, -2\/17, 0.07?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glgt when four letters picked without replacement from ggwtltg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13584 + -13891.05. Let z = f - -307. What is the biggest value in 1\/6, z, 0, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/529 - -104207\/1587. Let f = 65 - t. Which is the second smallest value? (a) 2\/3 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -27 + (-4 - -13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 20944284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24353, -48708, -73063, -97418, -121773?\nAnswer: -146128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-936))\/(13\/1690*10))\/((-13)\/6).\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 967 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojjl when four letters picked without replacement from {l: 1, j: 2, o: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 566, 1055, 1540, 2021, 2498, 2971, 3440?\n\"Answer: -2*n**2 + 495*n + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(176)*1).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -56, 4, 0, 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55*v - 1325505 + 1325505)*(-3*v**2 - 3*v**2 + 4*v**2) as w*v**2 + r + n*v**3 + h*v and give n.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, f: 1, d: 6, n: 2, e: 2}. Give prob of sequence rded.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 2, -5 in decreasing order.\nAnswer: 31, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.3 + -5.6. Which is bigger: v or -0.9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, l: 2, o: 2, r: 2, v: 1, s: 5}. What is prob of sequence osso?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -207446692 and -0.129572.\nAnswer: -207446692.129572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2\/17, 1, -3\/503, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 9) to base 8\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47599 = 61*y - 321672. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -9. Is 57355\/35 - m\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*4*(-5)\/(-72)*4\/5\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 25*g**2 - 47*g - 17. Calculate w(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/7 - 35300*a + 1090328750 = 0 for a.\nAnswer: 61775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 0.05, 129, -1, -14 in increasing order.\nAnswer: -14, -5, -1, 0.05, 5, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*y**5\/3 - 11386*y**4\/3 + 83966*y**3\/3 - 132784*y**2\/3 + 59789*y\/3 + 530\/3 = 0 for y.\nAnswer: -106, -1\/115, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 43*20\/17630*82\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 7 + 2)*(2*g - 4*g + 0*g) - 2*g + 5*g - 2*g - 3*g - 26*g + 13*g to f*g + i and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 141537191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-12))\/a)\/a**(1\/11)*(a\/(a\/(a*a**(1\/23)))*a)\/a*a**(-8) assuming a is positive.\nAnswer: a**(1253\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r. Let j(h) be the third derivative of 7*h**6\/720 - h**4\/24 + 12*h**3 + 19*h**2. Let s(z) be the second derivative of j(z). Calculate s(o(v)).\nAnswer: -35*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 258*n**2 - 22960*n - 389. Give c(-328).\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*y**2 + 19*y**2 - 18 + 931*y**6 + 18 + 85*y**2 wrt y?\nAnswer: 111720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a millennium in decades?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w - 19. What is p(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/(-2))\/((-9507)\/(-2376) + -4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-12) + (-58)\/522 - (22 - 16)?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 34 - 2*f + 88)*(-18080*f + 18080*f - 402*f**4).\nAnswer: 804*f**5 - 37788*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - 45*w**2\/4 - 12*w + 23.\nAnswer: (w - 46)*(w - 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*g + 7, 2*p = -3*g + 5*g - 4. Let s(c) be the second derivative of c**3\/6 + c**2 + c. Let y be s(-5). Put p, y, 0 in decreasing order.\nAnswer: p, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49*1437.7.\nAnswer: -70447.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2005 + 1309 = 2*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 775093707 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -908 + -4a?\nAnswer: -957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k - 5*z, 0 = -2*k - 4*z - z - 13. Let q(y) = -y**2 + 3*y + 3. Let v be q(k). What is the remainder when (-103)\/(-5) + (-10)\/v is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26410940 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3826 is divided by 99.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 8*g**2 + 16*g - 9. What is t(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3 = -4*b + 1, -4*b + 8 = -2*j. Suppose 6*s - j*s + 5*g - 6800010 = 0, 5*s - 4*g = 8499992. What is s rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6075 and 825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.031686784 to five dps.\nAnswer: 0.03169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/19, -12524.4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100339 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -8\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/20)\/1*(-12)\/(-6)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1758 - -1758.1. Which is the third smallest value? (a) 1 (b) -71\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooouoojjocoojoooj. What is prob of sequence ju?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44023 + 126856. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.2 - 0.2. Let q = -4 + p. Let o = 0.63 + -0.73. Which is the smallest value? (a) -2\/21 (b) o (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8 - -3)\/(-1*7) and 65\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgg when three letters picked without replacement from gcg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 + -8)*6 + 68 - 7. Suppose -3*v + 14 = -1. Calculate the greatest common divisor of z and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u - 83. Let o(v) = -1261*v**2. What is m(o(d))?\nAnswer: 3783*d**2 - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (92\/(-20) - (8\/2 + -9))*10. Solve -6*p - 21 = -3*p - 5*o, 2*p - 8 = -q*o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (105\/(-10) + 12)*(0 - 8\/(-132))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8*b - 4. Let j be g(3). Let q = 13 - j. Let v be 8\/6*q\/84. Is 1 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 - 56*y + 17662. Give s(-109).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, u: 7, g: 1}. Give prob of sequence nnu.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10080 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 620 - 123. Let d = 877 - a. Calculate the highest common factor of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 + 0?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 18309.\nAnswer: 91545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u + 2. Let y(z) = 2*z**3 + 6*z**2 - 4*z - 8. Let j be y(-3). Suppose -j*l - 2*q = -14, 7*q - 4 = -2*l + 3*q. Give g(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - 4*h**2 - 6*h - 4. Suppose -24*l + 19*l = 20. Let r = -2 - 1. Let m(a) = -a**3 + 3*a**2 + 5*a + 3. What is l*m(g) + r*q(g)?\nAnswer: -2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5346*h*q**3 - 395*h*q**2 - 23*h*q - 5*h + 3*q**3 + q**2 + 135*q - 8 wrt q?\nAnswer: 32076*h*q - 790*h + 18*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -159 + d?\nAnswer: -14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -944*t**4 + 2*t**3 - 952*t**4 - 4*t**2 + 1888*t**4 as g*t**3 + w*t**2 + s*t + v*t**4 + f and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 17. Determine f(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 12) + 9 + 12 + -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3296, -6571, -9846, -13121, -16396, -19671?\nAnswer: -22946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*g**5 + 197901*g**4 - 429168*g**3 - 483624*g**2 + 780720*g + 651600 = 0 for g.\nAnswer: -10\/11, 2, 543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**7\/42 - i**6\/15 + 3*i**5\/20 + 2*i**4\/3 + 2*i**3\/3 + 72*i. Factor w(n).\nAnswer: -n*(n - 2)*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 180, 255, 332, 411, 492?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/10 + (2 - (-42)\/15). Factor -8*y + p*y**2 + 18 - 54 + 14 + 18.\nAnswer: (y - 2)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5 + 14412*w**4 - 1579856*w**3 - 230592*w**2 + 25277184*w = 0. Calculate w.\nAnswer: -7314, -4, 0, 4, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 7*u - 2. Let o be l(-5). Let p be 264*((-20)\/(-12))\/5. Calculate the greatest common divisor of o and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 2*h + 3*h**3 - 5*h**3 + (-2*h**3 + h**3 + 0*h**3)*(4 + 1 - 6) - 3*h - 3*h**3 + 3*h.\nAnswer: -4*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 2*n**2 - 7. Let s(d) = -d. Let a be s(-10). Let l be b(a). Let j = l - -1880. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/7))**(-19)\/(o**(-1\/4))**(-2\/29))\/(o**0\/(o\/(o\/((o\/o**7*o)\/o)*o)))**19 assuming o is positive.\nAnswer: o**(-59515\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/8 - (-118)\/(-8). Let u be 2\/42 - 4\/p. Let k = 3822 + -3820. What is the fourth biggest value in -4, 0.2, u, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a**2 - 4*a + 2. Let p(b) = b**2 + b. Let f(z) = 2*z - 7. Let n be f(4). Determine n*v(l) + 6*p(l).\nAnswer: -l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-320)*-6*(-36)\/(-54).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*i + 210 = 13*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a year in months?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, -0.1, -2\/7, 1, 7, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -407 - 1220?\nAnswer: -1627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 112*f + 6. Let r(l) = -l. Let a(p) = -d(p) + 3*r(p). List the prime factors of a(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.132 (b) -1\/14 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 33 = 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -1211?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1 (c) 2\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5586, 5463, 5158, 4581, 3642, 2251, 318?\n\"Answer: -15*d**3 - d**2 - 15*d + 5617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -37\/2. Which is the biggest value? (a) s (b) 0.2 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from {j: 1, o: 18}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-5))\/((2\/3)\/(2\/(-9))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v + 6. Let p be j(6). Let f = 5 - p. Let a = f + 19. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-3)\/(-15)*-5. Let f(p) = -2*p + p - n - p + 1. What is f(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 + 6*f - 40. Suppose 20*k - 9*k + 55 = 0. Let d be z(k). Let p(w) = w. Let n be p(4). Solve -d*b = -4*b - n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, x: 9, q: 2, d: 2}. What is prob of picking 2 d, 1 x, and 1 c?\nAnswer: 27\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - f = 14, 5*t = -3*f + 6*f + 21. Solve -75*o**2 - 85 - 29*o**3 - 165*o + 5*o**3 + 29*o**t = 0 for o.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/4 - (-12)\/8. Let r(q) = -27*q**3 + 2*q**2 - 1. What is the remainder when r(c) is divided by (16\/(-10))\/(1\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23802 is divided by 5927?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -6*j + j + 15, 5*j = c + 15. Suppose -3 = -v - 3*v - j*p, 5*p = -15. Suppose v*g = 4*g. Solve g = -s - 1 - 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -13*m - 54. Let n(u) = -u - 1. Let b(x) = -c(x) + 3*n(x). Let w be b(-4). Let g(q) = -q**2 + 13*q - 16. Give g(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r - 2. Let q(y) = y. Let g be 73\/5 + (-14)\/(-35). Let h be (g\/9)\/(1\/3). What is h*q(j) - c(j)?\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -35+1.2157\nAnswer: -33.7843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699*o**2 + 662*o**2 - 14*o - 29*o + 43*o.\nAnswer: 1361*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 = 3*i. Let s(f) = 0*f**i - 6*f**2 + 8*f - f**3 + 0*f + 9. Let h be s(-7). Is h <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a + 143200 = 141160 for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-28))\/(-6*(-3)\/12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120501\/23 + 5240. Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 0*c - c**3 - 3 + 79*c**2 - 2*c - 79*c**2 + 5*c. Calculate z(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.925509669 + -9.649\nAnswer: -16.574509669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 2*r**2 + (-4*r - 3*r + 4*r)*(4*r + 2 - 2) + 3 - 3 - 2*r**2 in the form h*r**2 + v + o*r and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-80)*7\/21\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.43 - 0.77. Let w = 0.3397 + m. What is w rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + (sqrt(99) + sqrt(99) + 1)*4 - 4*((sqrt(99) - sqrt(99)*1) + -4)))**2.\nAnswer: 3648*sqrt(11) + 26788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*w + 46 = -76*w + 2*i, w = 3*i + 7. What is the remainder when w is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.482678 micrometers in nanometers?\nAnswer: 3482.678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/16 and -111\/28119812.\nAnswer: 112479248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -249504*s**4 + 210839 wrt s?\nAnswer: -998016*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 34438355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -17*p**5\/10 - 2*p**4\/3 + 519*p**2\/2 + 470*p. Differentiate o(i) with respect to i.\nAnswer: -102*i**2 - 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268 + 7*d**2 + 14*d - 15*d**2 - 80 - 95 - 92 + 34*d.\nAnswer: -8*d**2 + 48*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -21*g + 404. Let u be y(19). Which is the closest to -0.3? (a) -4\/7 (b) -1\/28 (c) u (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djnnajkd. What is prob of picking 2 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -279 + 281. Let w be (-4 - -8)*5*u. What is the highest common factor of w and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3\/3 - 74*c**2 - 27137*c\/3 + 3630.\nAnswer: (c - 99)*(c + 55)*(5*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85243194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 7:19 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 - 22*t - 7. Let m be a(-5). Factor 1\/4*r**2 + 0 - 1\/4*r**4 + 0*r + 1\/4*r**5 - 1\/4*r**m.\nAnswer: r**2*(r - 1)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -1 + (-3 - -5). Let r = 28 - i. Suppose 0 = -4*o - d + 40, -30 = -3*o - 14*d + 12*d. What is the greatest common divisor of r and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 6*d**5 - 126*d + d**2 - 49\/6*d**4 + 0 - 4*d**3. Let l(z) = 0. Calculate z.\nAnswer: -1\/4, 1\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6}. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 + 2*j + 2*j**3 + 1 - 2*j**3. Let n be u(-1). Let i be 2 - (0 - 1) - (-26)\/(-8). Which is the nearest to i? (a) n (b) 0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8300*g**2 - 5 + 8320*g**2 - 49*g + 5 + 47*g.\nAnswer: 20*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 5*k - 92 + 132 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*n + 4*q = -74*n - 91*n - 36, 19 + 26 = -3*n - 5*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s = s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 557 + -557. Let g be 0*2*(-1)\/(-2). Solve -4*s + w*s = g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29191262941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 101 - -2?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -y - 5. Suppose 6 = 4*w - 6. Suppose -d = -w - 23. Calculate the remainder when d is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44a5 + -2?\nAnswer: -44a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1385 + -963. List the prime factors of x.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -8.3. Let y be (-1 - 28\/(-12))\/((-4)\/90). Let j = y + 31. What is the closest to 0.1 in j, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from voiuauka?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 - 18*j. Let y(i) = -54*i**2. Determine r(y(n)).\nAnswer: 8748*n**4 + 972*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19191*p**2 - 38576*p**2 + 19419*p**2.\nAnswer: 34*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -354 - -322.6. Let k = f + 29. Let o = 2.40016 + k. What is o rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 244 and 10047005.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/19 - -35\/76. Let r = 6.7 - 47.7. Is r greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 13*p - 125 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-20)*(-1065)\/(-639)?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**3 - 4*w**2 + w + 2. Let s = -26 + 28. Determine x(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a118 + -c6?\nAnswer: 1a022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 790 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326 a factor of 56601636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/79724, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12531789 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.5, -2\/7, 0.8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -10*m**3 - m**2 - 18*m - 6. Let l(k) = -10*k**3 - k**2 - 15*k - 5. Determine 5*j(s) - 6*l(s).\nAnswer: 10*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Suppose 0 = 5*h - x*t - 113, -h + 4*t - 3 = -40. Suppose -b + 19 = -h. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w**3 + 2 - 25*w**3 - 2.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r + 42. What is i(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/21 + (-1292)\/(-6). Suppose -6*h = -h - v. Let l = h + -20. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 33 - (79 + -10)) + 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) -4813 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -22*c + 9. Let f(r) = -30*r + 14. Give 5*f(k) - 7*q(k).\nAnswer: 4*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 24 = -2*g, 2*m + 0*m + 2 = -5*g. Let j be (-4)\/10 - (-732)\/30. Suppose -5*h + j = -h. Solve -2*q - h = p + 1, 0 = -m*p + 2*q - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jawuw. Give prob of sequence aw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -9965*y**5\/3 - 199294*y**4\/3 + 219270*y**3 - 678016*y**2\/3 + 229603*y\/3 - 46 = 0.\nAnswer: -23, 6\/9965, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 30\/7 (b) -1 (c) 155 (d) 19.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}