diff --git "a/data/dm_maths/full_data_1/1498_11255.jsonl" "b/data/dm_maths/full_data_1/1498_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1498_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Sort -190, 3, -21, 4, -6 in increasing order.\nAnswer: -190, -21, -6, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - -1)\/(1 + 1). Suppose -5 = -2*a + 5, 2*a = f + 7. Suppose 36 + 3 = f*i. Solve -5*n - i = p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 7*k**2 - 3*k + 4. Let y(g) = g**2 + g - 1. Let x(q) = -c(q) + y(q). Is x(-5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000084671281 to seven decimal places.\nAnswer: -0.0000847","meta":{"dup_signals":{},"source":"numbers__round_number_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: What is 11 (base 4) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (622*w**2 - 14702 + 14702)*(75*w**2 - 77*w**2 - 1 + 3) as v*w**3 + p*w**2 + g + t*w**4 + m*w and give t.\nAnswer: -1244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from fdddfdfd.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -635730*c**2 - 62*c + 3448.\nAnswer: -1271460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10*l - 75 = 0. Let j = 789 - 752. Solve -5*c - l = -a, 3*c = -6*a + a - j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + x. Let f be g(0). Let c = 18\/37 + -1344\/481. Let v = -287\/130 - c. Which is bigger: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -12 + o**3 - 18*o + 4 + 6*o + 12*o**2 - 2*o**2. Let n be c(-11). Suppose 0*d = -n*d + 9. Solve 0 = -d*l + 1 - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 76176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 5*h + 5*h)*(4*h + 3 - 4 + h) to x*h + t*h**2 + o and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 47705204 to the power of 1\/3, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 104579977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjwjjwjjjjjw. What is prob of picking 2 w?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7)*196\/(-56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = -3*c. Suppose -53 = -c*q + 5. Suppose -11 = 2*v - q. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291955.\nAnswer: 5, 58391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 710\/3*(97 - 82). Calculate the greatest common factor of 50 and b.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 18*i + 5. Solve 0*h - h = -i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11 - 3.61. Let p = -3.49999848 - z. What is p rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27917?\nAnswer: 27917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -931*z**3 + 309*z**3 + 312*z**3 + 307*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-3 + (-5 - -3) - (-5 - 2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + g**3 - 2 - g**3 - g**3 + 4*g**3 + (5*g**2 + 0*g**2 - 3*g**2)*(-4*g + 5*g + 0*g) - 3*g**3 + 3*g**3 + 2*g**3 - g**3 + g**3 - 4*g**3 - g.\nAnswer: 3*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(12\/9)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 25 = -3*c, 3*c + 73*w = 77*w - 88. Let y(x) = x + 42. Calculate y(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j + 31. Let z be b(-5). Let f be (-23)\/z + -3*5\/(-60). Suppose -f*o + 31235 = -628765. What is o rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 1. Let o be x(2). Let n = -30 + 32. Which is smaller: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 6*m**2 - 79*m - 196. Let v(z) = -2*z**3 - 7*z**2 + 78*z + 192. Suppose 4*w + 111 - 127 = 0. Let j(l) = w*v(l) + 3*y(l). Factor j(a).\nAnswer: -5*(a - 4)*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 2*u**2 + 4*u - 2. Let l be i(3). Let p be 1 + -247 - 2\/l. What is the remainder when 53 is divided by p\/(-14) - (-6)\/21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, -1, -4, 2, 46 in increasing order.\nAnswer: -4, -1, 2, 46, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19813?\nAnswer: 19813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*u - 30, 6*u - 1 = -m + u. Let z = 192 - 93. Calculate the highest common factor of z and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o**2 - 7*o + 43. Let a(m) = 2*m**2 + 4*m - 21. Let y(l) = -15*a(l) - 6*x(l). What is the units digit of y(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -49*p**3 - 121*p**2 - 60*p + 20. Let v(s) = -s**3 + s**2. Let g(o) = -b(o) + 4*v(o). Solve g(l) = 0.\nAnswer: -2, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o = -3*z - 30, 3*o + 0*z = 2*z + 3*z - 214 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*t - 5*t + t)*(0 + 1 + 1) - 3*t + 2*t + 0*t)*(1 + 10 - 4)*(3 - 1 + 0) as j*t + h and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.07378077.\nAnswer: 0.36890385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210211 + -11222012?\nAnswer: -20210000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*k, -2*k + 13 = q + 42. Let c = -32 - q. Is 481 + 0 + (5 - c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*c, 0 = -c - 0*c + 5. What are the prime factors of (-2)\/(-4) + ((-699)\/(-6) - g)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by 975\nAnswer: -22\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -687564.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -5. Factor 3*s - 3*s**3 + a*s**3 - 4*s**3.\nAnswer: -3*s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v + 5*v + 2*v)*(v**3 + v - v) - v - 5*v**4 + v in the form l + c*v**4 + r*v + u*v**2 + a*v**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -182*-0.405\nAnswer: 73.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 19, -4, 85, -0.3, 0.4, 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d - 0*d. Suppose 3*z - 17 - 3 = -s, -2*z - 3*s = -25. Suppose p + 28 = z*p. Sort d, p, 3.\nAnswer: d, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2 + 19514*f = 0. What is f?\nAnswer: -19514, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + v**2 + v + 13. Let r(y) = -2*y**3 + 3*y + 2*y**3 + 3 - 5*y - y**3 - 4*y**2. Let s be r(-3). What is j(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x - 5. Let n(j) = 8*j - 29. Let y(v) = v - 6. Let u(a) = -n(a) + 4*y(a). What is 6*u(l) + 5*w(l)?\nAnswer: l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)*-2*5)**2 + 2*(sqrt(432) + 0) - ((-4 + -2 + sqrt(432))*-3)**2)*1 + 1.\nAnswer: 1320*sqrt(3) + 38989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -312? (a) -2\/3 (b) 0 (c) -3 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7457 - 34742.\nAnswer: -27285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1521899*n**4 + 12*n**3*p**2 - 90814*n**2*p**2 - 378*n**2*p wrt n.\nAnswer: 36525576*n + 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 952, -1, 859 in descending order.\nAnswer: 952, 859, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 5:15 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**3. Let j(b) = 5*b**3. Let m be ((-80)\/(-77) - 26\/143)*-7. What is m*j(y) + 7*g(y)?\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*(-28)\/546*(-2)\/4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = -x + 20*c, -5*x - c + 29 + 4 = 0. Let f be -2 - ((-2452)\/614 + 2). Let p = 648\/5219 + f. Sort x, p, 0.5, 10 in descending order.\nAnswer: 10, x, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q**3 - 2*q**2 - 2*q - 1. Let k be d(-1). Suppose 2*l + k = 42. What is the remainder when 53 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7232.563km?\nAnswer: 7232563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**4 + 18115*g**3 - 2*g**2*n**2 - 1092*g*n**2 - 10*g*n wrt g?\nAnswer: 36*g**2 + 108690*g - 4*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76\/219033 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/11 - 574*b**3\/11 - 17632*b**2\/11 + 2296*b\/11 + 70560\/11 = 0 for b.\nAnswer: -252, -35, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -394.\nAnswer: 3\/394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 - 22.1. Let i = 16 + -34. Let p = i - j. Which is the third biggest value? (a) -5 (b) p (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13584439007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 4 (c) 5 (d) 0.2 (e) 904 (f) -25\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/4)\/(a**(1\/10)\/a)*a**(1\/4)\/(a**(-5)\/a))**(1\/4) assuming a is positive.\nAnswer: a**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -17*o**2 - 15*o + 10. Let c(a) = 10*a**2 + 9*a - 6. Let u(w) = -10*c(w) - 6*g(w). Let r(n) = 4268*n**2. Calculate r(u(d)).\nAnswer: 17072*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -5*g - 104. Let r(b) = -b + 3. What is r(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 19. Let v = p - -20. Solve -2*c = 4*l + 8, 7 = -7*l + v*l - 4*c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -1329424959703.5.\nAnswer: -1329424959703.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3161430 is divided by 1358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 2:23 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 559*h - 68. Is s(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -4 (b) 9 (c) 5628 (d) -1 (e) 2.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdsdudds. Give prob of picking 3 s and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 74\/(-40) - (-26 - 3990\/(-152))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -60, -109, -186, -297, -448, -645, -894, -1201?\n\"Answer: -l**3 - 8*l**2 - 18*l - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47\/58, 0.12, 0.467.\nAnswer: 0.12, 0.467, 47\/58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 110\/4*12\/(-15). Let m = z + 37. Let s be m\/((63\/(-6))\/(-7)). Solve s = 4*w - 5*o - 6, -8 = -4*w + 3*o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/3)\/4 + 2. Suppose h + s*h - 84 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 303, 455, 607?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3 = -3*x, -2*x + v = 3*x - 1. Let p = -6.4 - -6. Which is the closest to x? (a) p (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**5\/20 - v**4\/6 + v**3\/6 - v**2\/2 - 4*v - 285. What is c(-6)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*p - 74 = 0, -c + 86 = 4*c + 2*p. Suppose m - c = -11. Suppose m*t = 25, -2*f + 41 = f - 5*t. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -42033376\nAnswer: -42033375.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a. Let b(h) = 3*h**2 + 4*h - 4. Let x(s) = -s**2 - s + 1. Let o = 13 + -8. Suppose 0 = o*f - f - 4. Let w(d) = f*b(d) + 4*x(d). What is c(w(y))?\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -488*m - 2909. Give k(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -102 + 37 + (1 - -5)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 29 = 143. Let k(u) = -2*u + 0*u - q + 172. Let l(o) = 12*o + 1. Determine k(l(g)).\nAnswer: -24*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 2\/29, -3\/4?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d + 5*d - 3*d)*(-3 - 3 - 7)*(2 - 3 + 3)*(-2*d**3 + 4 - 4) in the form a + p*d**3 + c*d**4 + o*d + k*d**2 and give c.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2923 + -852.2077. Let k = m - -853. Which is the closest to -0.1? (a) k (b) -2 (c) 1 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -666, -662, -658, -654?\nAnswer: -650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 3*o**2 + 4*o - 1. Let l(q) = -q - 1. Let s be (-4 + 1)*(-1 + 0). Let f be l(s). What is h(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 1. Let z = -2 + w. Let o = -1.8642 - -0.8642. What is the third biggest value in o, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 11*y + 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 341. Let k(n) be the second derivative of n**4\/4 - 204*n - 2. Determine k(i(f)).\nAnswer: 12*f**2 + 4092*f + 348843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a**3 - 2*a**4 + a**4 + 4*a**4 - 4*a**2 - 2*a**2 + 0*a**3 as d*a**3 + k*a**2 + h*a + x + r*a**4 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 4 - -3) + (3 - (14 + -16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 + (-11 - -30) + (-2 - -2 - 5)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16\/7, 5, -0.2, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36930 = -99*s + 20231 + 33919. Calculate the highest common factor of s and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbg when three letters picked without replacement from {g: 1, o: 7, x: 5, z: 2, t: 2, b: 3}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by 908.\nAnswer: 22\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -538.5*-3144.\nAnswer: 1693044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.99 - 0.01. Let m = 15.93 + -16. Let l = m + -0.03. Is t != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/3))**(1\/11) assuming w is positive.\nAnswer: w**(-1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3 = -2*l + 3, -4*z + l + 37 = 0. What is the remainder when z is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31325 divided by 2?\nAnswer: 31325\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106739800*i**2*k**3 - 2*i**2*k**2 - 809*i*k**2 + 33*i*k + 171*i + 2*k**3 wrt i.\nAnswer: 213479600*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -242*w - 1217. Calculate j(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*z = -57*z - 188037. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-10)*p*p)\/p*(p\/(p*p**(7\/3)))\/p*(p*p**(-3))**(-2\/113))**(-5\/22) assuming p is positive.\nAnswer: p**(-7375\/3729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18213, -18841, -20539, -23841, -29281, -37393, -48711, -63769?\nAnswer: -83101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 913325, 3653283, 8219879, 14613113, 22832985, 32879495?\nAnswer: 44752643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 60*l - 82. Let t be s(-18). Let f = t - -10662. What is f rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436488223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1612 - -22555\/14. Let p = -3\/7 - o. Solve 0 - p*q**3 + 1\/2*q + 1\/2*q**4 - 1\/2*q**2 = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2791585 is divided by 380?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 67 - 71. What is the units digit of 98 + 1\/((3 - t)\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -3, 550, -2.\nAnswer: -17, -3, -2, 550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 263 = -m + l, 0 = -4*m - l - 205. What is the units digit of 13\/(m\/(-16)) - (-209 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 5*g. Let c = 0 - g. Solve c - 2 = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 4*i - 2. Let l(o) = -o**2 + 15*o - 8. Let t be l(13). Let a be t\/4 - (-3)\/(-2). Is 14 a factor of f(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v**3 - 4*v**2 - 2*v + 9. Let r(c) = -2*c**3 - 4*c**2 - c + 2. Let m(b) = -a(b) + 2*r(b). Let d(p) = -2*p**3 + 3*p**2 + 5. Give -3*d(x) - 2*m(x).\nAnswer: 2*x**3 - x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/25))**(3\/17)*n**9\/(n\/((n\/(n**15\/n))\/n)) assuming n is positive.\nAnswer: n**(-2544\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 8. Suppose w + 2*w - 30 = c*i, -3*i + 23 = 4*w. Calculate the highest common divisor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c - 15. Let w = -68 - -75. Let q(t) = w*t + 8*t - 17*t - 2 - 2. Give -6*n(d) + 22*q(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 374882263 times -0.5\nAnswer: -187441131.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 2*r**2 - r - 4. What is n(3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-745 - 320 - 1443 + 826 - 1351)*(-2*a**4 - a**4 + 4*a**4) in the form h + m*a**3 + f*a**2 + i*a + u*a**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1307*p**2 - 48*p - 2890. Let d(g) = -2613*g**2 + 84*g + 5779. Let c(s) = 7*b(s) + 4*d(s). What is the derivative of c(k) wrt k?\nAnswer: -2606*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 257, 6012, 8 in ascending order.\nAnswer: 0, 8, 257, 6012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (-39 - -67) + 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152\/18 + (209\/(-11) - -11).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 3915.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r**2 + 5195 - 5195.\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70 - 70 - 21*u to j + r*u and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210872659 is divided by 54?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 48*k**2. Let c(o) be the third derivative of o**5\/60 + 227*o**2 - 2. Calculate c(z(i)).\nAnswer: 2304*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5523)\/(-12) + (-2)\/8. Does 3 divide w\/50 + 2\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*m = -38, 5*b - m = -3*m + 80. Let v = b + -13. Let s(x) = x**3 - 4*x**2 - 4*x + 4. Let t be s(v). Solve -5*f + f = w + t, -13 = 3*f + 2*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 4884 + 2088 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*r**2 - 6*r - 6*r + 34*r**2 + 12*r - 71*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6)*(-14 - 1). Suppose 17*h - g*h - 112 = 0. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -3*d + 9. Let r = d - 22. Suppose u = -z + 2*u, -4 = -r*u. Solve 0 = z*c + 8, c = -3*p + 4*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - 4312*a**4 - 4323*a**4 - a**3 + 8620*a**4 as g + x*a**4 + l*a**3 + v*a + h*a**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49051836*h + 2*h**3 - 2210 - 873*h**2 + 49051836*h wrt h.\nAnswer: 6*h**2 - 1746*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1995.98888 - 1996. Round t to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/40 and 29\/11328.\nAnswer: 56640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -13. Suppose -3*v - 257 = -f*c - 0*v, -4*c + 262 = 2*v. Suppose c + 8 = 3*s - 5*o, s = -o + 35. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**5 + 32900*g**4 + 4622904*g**3 = 0.\nAnswer: -8082, -143, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -14?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(187) - 2*sqrt(187))*3 - sqrt(187)) + (sqrt(187) - sqrt(187)*-1)*-4)*2)\/((sqrt(891) + (sqrt(891)*-2 - sqrt(891)))*1 + sqrt(891)*-1*-4))**2.\nAnswer: 272\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 38*l + 41*l = -6, -3*l = 5*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19500 and 5050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 29 = -9*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 17*q**3 + 11*q**2 - 36 + 3*q + 8*q**3 + 8*q**3. Let f be p(13). Sort -5, f, 50 in increasing order.\nAnswer: -5, f, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/70)\/((-56)\/3360).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 568 = -3*x - 5804. Suppose -6*o + 8 = -10*o. What are the prime factors of o\/10 + x\/(-45)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 5*c + 662 - 1372 + 605, 0 = 4*c - u - 93 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20 + -6 + -11 - -75. Solve -3*k + 3*u = 0, -2*k - 4*u + h = 54 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13 - 0\/(-4) - -3. Suppose 0 = -f + 15 + k. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17265111.\nAnswer: 3, 23, 59, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -19 + (-1)\/1 + 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(1900)*-2 + (0 + sqrt(1900))*5 - -2*(-3 + (-1*sqrt(1900) + sqrt(1900))*-2)))**2.\nAnswer: -420*sqrt(19) + 17149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0057531 to four decimal places.\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1893597*y**2 + 4894*y**4 - 1893597*y**2 + 1033 wrt y.\nAnswer: 19576*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14416603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 351 - 232. Suppose 2*w = -329*k + 334*k - 81, 5*w - 95 = -5*k. Calculate the highest common divisor of k and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - n + 1 + 3*n + (-2*n - 2*n + 2*n)*(-5 + 1 + 6) - n + 0 + 0)*(-14 + 21 + 15) to b + u*n and give b.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 10*w**3\/3 + 3*w**2\/2 + 2*w - 1. Let r be j(-2). Suppose 2*n - r = -n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -388, -518, -146, 980, 3112, 6502, 11402?\n\"Answer: 42*n**3 - n**2 - 421*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58\/183 + -1\/61. Let t(q) = -3 + 0*q + 4*q - 5*q**2 + 4*q**2. Let v be t(4). Sort l, v, 0.1.\nAnswer: v, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrjm when four letters picked without replacement from rtttmttrjomjloommott.\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (5 + 1 + sqrt(405) - sqrt(405)) - -1*sqrt(405)*2*5)**2.\nAnswer: 720*sqrt(5) + 40516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/2193180 and 49\/54120.\nAnswer: 179840760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -28) + -10 - (17 - 0) - (-13 + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + w = -218, 3*w - 224 = -4*b + w. Let c be b\/5 + -4 + -2. Suppose 15*j**3 - 12*j**4 - 79*j - 3*j**c + 79*j = 0. Calculate j.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5361*t**5 + 2*t**4 - t**3 + 35*t**2 + 3*t - 6.\nAnswer: 321660*t**2 + 48*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*f + 84*f + 16 = 4*i, 6 = 2*f + 4*i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 30 + 16*j + 24 - 10 - 27*j - 27*j. Let d = 13 - 0. Let r be b(d). What is r rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 3\/4, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -816 - -4967\/6. Let x = -1\/1149 - 44803\/9192. Find the common denominator of x and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/9)*z**1)**12 assuming z is positive.\nAnswer: z**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 2*s - 2. Let x be p(4). Let o = -6 + 3. Let g be (-2)\/o - (-116)\/(-12). Which is greater: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 14. Let c be v(-11). Solve -2*t = c*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 13, d: 2, n: 3}. Give prob of picking 1 k and 1 n.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3968 = -2*o, 4107 = 2*o - 2*i + 131. Is 6\/(-15) + (-1 - o\/(-5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-230)\/((-5946)\/(-56)*-1). Let z = -1\/1982 - p. Find the common denominator of (((-15132)\/147)\/(-26))\/(4\/7) and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*7748.\nAnswer: 2324.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j**2 + 2*j. Let p be d(-2). Let a be (2\/(-12))\/((-5)\/p). Is a greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 + -2.03. Suppose 3*j = 9 + 6. Let y be ((15\/1)\/(-3))\/(100\/(-60)). What is the second biggest value in j, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 447 in -1, -0.2, 11, -2\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259888, -259889, -259890, -259891, -259892?\nAnswer: -259893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*a - 537 = 981, -3*b - 2*a + 2277 = 0. Calculate the least common multiple of 759 and b.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 3*b + b)*(-2 + 2 - 1).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**6 - 9*c**5 - 21*c**4\/2 + 51*c**3 - 30*c**2 - 7224. Let u(z) = 0. Calculate z.\nAnswer: -5, -4, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -15*a**3 + 14*a**2 + 15*a + 2. Let f(k) = 7*k**3 - 7*k**2 - 7*k - 1. Let r(l) = -6*c(l) - 13*f(l). Calculate r(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 9*o + 21. Let z(u) = 5*u + 94. Let m be z(-20). Let y be c(m). Solve -y*s - 1 = -2*i + 3, 3*i - 8 = 5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74 (base 10) to base 7.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t = 10*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/8 + (-14)\/56. Let r(t) = -t**2 + t. Let y be r(1). Suppose y = -4*s + m*s - 4. Calculate the greatest common factor of 24 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000020639 to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3402) + sqrt(42))\/((sqrt(72)*3 + sqrt(72))\/sqrt(12)) + -5)**2.\nAnswer: 20*sqrt(7) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11340 by -2268.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2697 and 13299.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 804668056 to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k**3 - 20*k**3 - k**2 - 30*k**3 - 22 - 5*k**3.\nAnswer: -83*k**3 - k**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -40*o**3 + 4*o**2 - 3*o + 4. Let q(g) = 40*g**3 - 5*g**2 + 3*g - 5. Let f(k) = -3*m(k) - 2*q(k). Is f(1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*q, 230*q - 39 = 5*r + 221*q for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61967\/16 + -3877. Suppose -5*w + 8017 - 2137 = 4*g, -w + 3*g = -1195. Calculate the common denominator of ((9\/(-3))\/(-18))\/(40\/w) and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvvvvyy. Give prob of picking 1 v and 2 y.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -6. Let s(j) = 1 - 792*j**3 - 7*j**2 + 343*j**3 + 454*j**3. Let c(r) be the first derivative of r**4 - 2*r**3 + r - 2. Calculate a*s(o) - 7*c(o).\nAnswer: 2*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 8463 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -j - 3. Let b = 14 + j. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01082 - -0.11082. What is the fourth smallest value in -4, -1.1, r, 4\/7, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2cd + dd965?\nAnswer: dd687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-1*2)\/sqrt(10).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -24, -54, -94, -144, -204?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-6))\/((6\/40)\/((-738)\/(-1025)))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12917991 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (960\/3840)\/(27\/(-24))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*k - 12 = 0, -7*k - 4*k = -7*k - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**3\/3 - 443705*r**2\/3 - 14202400*r\/3 - 37876480 = 0. Calculate r.\nAnswer: -16, 88773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -684088752291.7?\nAnswer: 684088752290.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 4*x**2 - 1. Let j be d(4). Which is bigger: j or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**4\/3 + m**3\/6 - 8*m**2. Let y(h) = 7*h - 1. Determine -5*v(j) - 6*y(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.822 times -6?\nAnswer: 436.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1001011?\nAnswer: -1001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3277)\/(-452) - (5 + 2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0909698um?\nAnswer: 0.00000909698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.7433 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5829832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 + (-6 - (5 - (1 + 0))))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 5:57 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**4\/18 - 2*q**3\/27 + q**2\/9 + 14*q. Factor f(r).\nAnswer: -2*(r + 1)*(3*r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*1*2 - sqrt(88)*-1*2)\/(-5*-2*1*sqrt(288)).\nAnswer: sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 26912*h - 45265984.\nAnswer: -4*(h + 3364)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44544 divided by 48.\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 188941\/12 + -15736. Calculate the common denominator of -151\/522 and k.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 22*n**2 - 5 + 2 - 6 - 10*n - 10*n**4. Let q(s) = 5*s**4 + 11*s**2 + 4*s + 4. Let i(o) = 4*f(o) + 9*q(o). Find the third derivative of i(b) wrt b.\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -8\/15*z**6 + 0 + 0*z**2 - 11\/2*z**3 - 11*z + 0*z**4 + 0*z**5. What is the second derivative of d(y) wrt y?\nAnswer: -192*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l. Let w be u(1). Let b(t) = -6*t**2 - 2. Let h(p) = p**2. Let s = 30 + -26. Determine s*h(k) + w*b(k).\nAnswer: -2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 0 + 0)*(-2 + 0 - 13)*(-3 + 2 + 4) + (1 + 1 + 2)*(3*l - l - 3*l)*(19 - 19 + 10*l).\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p**3 + p**2 - p + 1. Let l = 9 - 19. Calculate the least common multiple of s(-2) and 11\/(165\/l)*18\/(-2).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -541\/15 + 110\/3. Which is the nearest to 2? (a) v (b) -0.5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 + 5*f**2 + 241*f**3.\nAnswer: 241*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7771, -6, -1.3, 6, 0?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = o - 4*c, -85559*o + 3*c - 4 = -85561*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 62505.\nAnswer: -437535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-5)*a)\/a*a*a)\/(a*a**3\/a))\/(a\/a**(-5)*a*a**(1\/6)))**(-1\/3) assuming a is positive.\nAnswer: a**(79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29387 or 558375\/19?\nAnswer: 29387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f**3 - 21*f**3 - 39*f**3 - 39*f**3.\nAnswer: -85*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 0.6. Let w = 0.05 - -0.55. Let g = c - w. What is the closest to 0.1 in g, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.8586631 to 1 decimal place.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 41644700 to the nearest 10000.\nAnswer: 41640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111100120 - -1000?\nAnswer: -10111022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from {p: 1, o: 5, c: 2, t: 3, e: 3, f: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.181 + -2.781. Let h = 3 + v. What is the nearest to -1\/5 in -5, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3*n - 27 + 81, -2*u - 3*n - 39 = 0. Let f = -7463 - -7458. What is the nearest to 1 in -3, -1\/4, f, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((26\/26)\/(-1*1))\/(12463\/9064)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + m + 73*u = 70*u + 33, 4*u - 24 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -121, -278, -497?\nAnswer: -778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 955*h - 3675. Determine q(7).\nAnswer: 3010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (13\/(13\/2597))\/(99\/48 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*t, -4*j - t - 3*t = -104. Suppose 5*m - y = 30, 5 = 3*m - 4*y - j. Suppose m*u + 3 = 33. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 323 + 23*h - 323 + (1 - 4 + 1)*(1 - 1 - 2*h) + (-4 + 4 + h)*(3 - 3 - 1) - h + 2*h - 2*h.\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxgxxxxxggxxxggxgxg.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 - 4*q - 4. Let j(l) = -9*l**2 - 11*l - 11. Let p(x) = 4*j(x) - 11*r(x). Let h(i) = -28*i**2 + 52*i**2 - 23*i**2. Calculate p(h(b)).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 15. Suppose n = 5*d - d. Let p = d - 3. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wswss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -1.4.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87279 divided by -5.\nAnswer: -87279\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 + 4?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 19*g**3 - g**2 - 11*g + 5. Let v = 214 - 203. Let o(l) = 4*l**3 - 2*l + 1. Determine v*o(s) - 2*h(s).\nAnswer: 6*s**3 + 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*c - 7. Suppose b + 117 = c*n, 42 = -2*n + 4*n + 2*b. What is the remainder when n is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 8:19 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23422 times -0.4?\nAnswer: 9368.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - -6*sqrt(76)*-3 - 1*sqrt(76)*1)\/(-5*(sqrt(64) - sqrt(4)) + sqrt(4)*3*3))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -46*b**3\/7 - 4750*b**2\/7 - 1504*b - 2424\/7 = 0.\nAnswer: -101, -2, -6\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.6 - -18.6. Let k = v - 23. Let t = k + -3. Put -1, 0, t in descending order.\nAnswer: 0, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 91. Determine s so that 0*s**2 + 1\/2*s**3 + i*s + 1\/2*s**4 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 bigger than 1317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43.41 or -0.05354?\nAnswer: -43.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3883.266 weeks to seconds.\nAnswer: 2348599276.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53738 is divided by 960?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 1. Let l(n) = 9*n**2 + 13*n - 3. Determine l(o) + 2*t(o).\nAnswer: 9*o**2 + 9*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1970806, 1970812, 1970806, 1970782, 1970734, 1970656, 1970542?\nAnswer: 1970386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -11*n**6\/30 + n**4\/3 + 31*n. Find the third derivative of o(w) wrt w.\nAnswer: -264*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16253 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 59303187 to the power of 1\/2, to the nearest integer?\nAnswer: 7701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 45 = -5*h, -11 = 2*h + 4*o - 39. Solve -t - f + 7 = 0, -5*t = -h*f + 2*f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 2*c**2 - 7*c**2)*(-1 - 1 + 5).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.32 + -0.72. Let f = a - -0.04. Let o = -27.0812 + -0.9188. What is the biggest value in o, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000133 rounded to 7 decimal places?\nAnswer: 0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 + 194874*a + 21437108\/5.\nAnswer: -2*(a - 487207)*(a + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23511 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 47.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -6952 and -6942 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 5*a + 2. Suppose 3*s = -2*l + 14, l + 4*l = -2*s + 24. Calculate h(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 598480 and 1488?\nAnswer: 55658640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13*f**3 + 11*f**2 - 29*f + 5. Let s(x) = -2*x**3 + 2*x**3 + 10*x - 2 - 4*x**2 - 4*x**3. Let j(c) = 4*r(c) + 11*s(c). Factor j(g).\nAnswer: 2*(g - 1)*(2*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(5\/3))\/(z**(2\/13)\/z) assuming z is positive.\nAnswer: z**(137\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.54 and 5.09.\nAnswer: 5.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**3 - 22*k**2 + 25*k - 32. Determine p(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-144))\/(2\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*t - 9, -5*t - 19 = -4*t + 5*k. Let r(c) = -c**3 + 4*c**2 - 3*c + 4. Let j be r(6). Let y be j\/18 + t\/18. Put 5, 2, y in increasing order.\nAnswer: y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 28*c + 73*c - 91*c. Let r(i) be the second derivative of -i**4\/6 + 2*i. Calculate r(g(h)).\nAnswer: -200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6\/q)\/(q*q**(-1\/4))*q\/q**(-1\/3)*q*q**(2\/7) assuming q is positive.\nAnswer: q**(577\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536079703?\nAnswer: 29, 373, 49559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 24*z + 79. Give n(25).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/4 or 53.51?\nAnswer: 53.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 288 - 288 - 22*c**2 - 2*c**2 in the form t*c**2 + v*c + f and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0*m + 8, 791 = 5*d - 3*m. Suppose -d = -4*y + 279. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000164 to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 1 - 1)*(-2*g - g + 4*g) + (17*g - 15020*g**2 + 21*g - 38*g + 919*g**2)*(0 - 3 + 2) in the form a*g + v + u*g**2 and give u.\nAnswer: 14102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21781584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*m = 214, 4*m - 2*m - 4 = 0. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11970821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 55312, -1, 1, -2, -4 in descending order.\nAnswer: 55312, 4, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0329443 to three dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9604.504l?\nAnswer: 9604504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - 0.4. Let r = 0 - v. Let p = r + -0.15. Round p to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 329158, 0 in ascending order.\nAnswer: 0, 3, 329158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m - 34. Let w(d) = 16807061*d. Give j(w(l)).\nAnswer: -33614122*l - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 10:06 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 122411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152)*-1 - sqrt(16)\/sqrt(8))\/(5*(sqrt(576) + 5*sqrt(576)*-2)).\nAnswer: 5*sqrt(2)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -293\/790 or 1?\nAnswer: -293\/790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9160 + -9152.9991. Let l = -83 - -76. Let d = l + y. What is d rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151.5 times 0.07238\nAnswer: -10.96557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 68, 14.\nAnswer: 4, 14, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 669*p = 668*p + 41, 88 = 2*c + 3*p. Calculate the remainder when 522 is divided by c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5619 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: What is the second biggest value in 2, 0, 0.3, -0.12, 1, -52, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82 - 2*t**2 - 45 - 35 + (0 + 0 + 1)*(6*t**2 + t**2 - 4*t**2).\nAnswer: t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-990)*-15)\/(-1 - (-12)\/16)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9711325 to the power of 1\/2, to the nearest integer?\nAnswer: 3116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 + 368 = -308*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.1 (b) 1\/292 (c) 0.1 (d) 0.4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-60) + (-43188)\/531?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (118\/8)\/((-25)\/(-100)). Suppose -p - 4*p = -v - 19, 0 = 3*v - p + 71. Let q = v + o. What is the highest common factor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {q: 3, f: 1, h: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 7*k**2 - 10*k + 12. Let j be t(8). Let y(b) = -2750*b. Let w be y(j). What is w rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/4)\/(2\/(-8)). Suppose -s*q + 2 = 7. Which is greater: q or -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wff when three letters picked without replacement from wwwrrrwrrrrwwfwrrrfr.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**5\/20 - 5*m**4\/12 + m**3\/2 - 2*m**2 + 9*m. List the prime factors of y(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 19 - 41 = 0. Let o = b + -17. Let k = o - -4. Solve -k*n = 3*n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*o + 7 = 0, -4*r + 2*o + 0 = 4. Let w = r - 4. Suppose 2*c + 3 = -7. Sort w, 1, c in decreasing order.\nAnswer: 1, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -7*i + 39 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -350.2659?\nAnswer: 70.05318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3414, -6805, -10196?\nAnswer: -13587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1918.4 (b) 1 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 168, -1, 2, -3.\nAnswer: -3, -1, 2, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-1) - (6 + (-70)\/10). Let x = 450 + -261. Suppose 0 = -o*j + 135 + x. Calculate the highest common factor of 90 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*n + 4*n + 3*d, -n = 2*d - 13. Solve 3*l = 4*g + n*l, -3*l - 6 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dms when three letters picked without replacement from {s: 2, d: 4, m: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -14 + (-3 - (0 + 0)) + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1090 and 135160654.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u + 0*u + 6*u + 7)*(-3 + 3 + u**2) in the form f*u**2 + v + x*u + r*u**3 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -81\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2) - (-1 - -1)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = -2*s, -5*y + 3*y - 8 = 0. Let d = -3200 + 3200. Solve -4*m - j + s = 3, -2*m + 5*j - 12 = d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28342875 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 408, -1933, -5778, -11127, -17980, -26337, -36198?\n\"Answer: -752*w**2 - 85*w + 1245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-5))\/((-704)\/40 + 19). What is the nearest to 1\/4 in 3, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*s - 6 = 0, 3*g = -0*g + s + 2. Suppose 2*l + g*l = 12. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 6 - 24)*(2*y**2 - 5*y**2 + 2*y**2) to the form h*y**2 + j + m*y and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85696*b + 26 = -85722*b. What is the nearest to -2.4 in b, 1, 0.01?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3154008 and -22?\nAnswer: -69388176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42673619 to the nearest integer?\nAnswer: 6533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-60)\/(-45)*(-19)\/(-76). Which is the second smallest value? (a) 2 (b) -7\/15 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27462\/11687 - -68\/29. Let d = 34239\/3224 - c. Calculate the common denominator of d and (-182)\/(-32) + 2 + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69 or -70?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 93, 0.3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + -1)\/(278\/69 - 4)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 - 2*t**3 + 0*t**2 + 4*t**3 + 7*t - 4*t**3 as n*t + x + g*t**3 + h*t**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) -4 (c) 2\/9 (d) -312 (e) 2\/37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 9:27 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*h**2 - 40*h**2 + 17*h**2.\nAnswer: -47*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -9 + 19 + -8 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7 = 5*p - 5*s, 3*p + 3*s = 15. Suppose 20 = 4*v + p. Suppose 7 + 45 = v*m. What is the remainder when 36 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 575154*w + 13*w**3 - 575154*w.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 8:42 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46, -45, -44?\n\"Answer: o - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7057c (base 13) in base 2?\nAnswer: 110001000010101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l - 7 + 3*l - 2. Let m be x(-11). Let u = -11 - -14. Solve -m*y - y - u = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*n - 76*n + 14. Put n, -1, 5, -5 in decreasing order.\nAnswer: n, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -0.02055?\nAnswer: -0.02055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-30))\/(3 - (-18)\/(-5)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -940, 4, 37, 3, 2, 552 in increasing order.\nAnswer: -940, 1, 2, 3, 4, 37, 552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -241\/966 + -5\/138. Which is the closest to f? (a) 0.1 (b) 0.2 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 12:57 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*v + 11. Solve 4*r - 7*r + x - 10 = 0, -v*r + 4 = 3*x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.078398525983571 + -0.1.\nAnswer: -0.021601474016429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 27, 2\/7, 1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9959, 20009, 30059, 40109, 50159, 60209?\n\"Answer: 10050*f - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - 2 + 2 + 0*t + 2*t + 0*t + (3 - 5 + 0)*(-2*t + 4*t - 4*t) - 5*t + 2*t + 4*t - 49*t + 17*t + 4*t.\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1187*z**3 + 5*z**2 - 49*z - 9. Let r be n(-17). What is r rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 26*q**3 + 3*q**2 + 11*q - 32. What are the prime factors of o(4)?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*w**3 - 31*w**3 - 22*w**3.\nAnswer: -21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.45 + -0.15. Let s = 0.1 - 0.1. Which is bigger: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and 0.038.\nAnswer: -0.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54949 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 + 373\/4. Let w be (-271*1)\/(7\/2 + -1). Let v = w + 108. What is the closest to v in 0, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-4)\/(-2))*50. Let s = j - -85. Does 24 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10332011, 20664030, 30996049, 41328068, 51660087, 61992106?\n\"Answer: 10332019*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*s + 48 = -2*l, 0 = -4*l - 4*s + 96. Let o = 2 + l. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39204050443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*v - v + 5*o, 3*v - 2*o + 11 = 0. Let x = 1 - v. Suppose t - 5 = -2. Solve x*k + t*k = 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/160)\/((-130)\/195).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klllllll. What is prob of picking 1 k and 3 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 6*z, 5*u + 5*z + 1265 = 0. Let m = -1880\/11 - -116791\/682. Find the common denominator of 5\/15 + u\/(-42) and m.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(-4)\/(-8) - -82. Suppose 2*p - o = j, 0 = 3*p - 4*p - j + 47. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, m: 3}. Give prob of sequence om.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 9*b = 4. Suppose 0*h + b*h - 500 = 0. Does 25 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 8\/(-3)*54\/36\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 - 1. Let u = 1578 - 2421. Let b = -846 - u. What is the second smallest value in b, -2\/5, -2\/11, j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 5:15 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*x**2 + 21*x**2 + 67*x**2 + 61*x**2.\nAnswer: 187*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m - 43. Let s be x(20). Let w = 115 - s. Is -0.8 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 472 and 472.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 2. Let m = 1 - 1. Let f = -136\/365 - 2\/73. Which is the closest to f? (a) m (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 4*y - 35, 4*d - 280 = -3*y - 231 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**3 - 36*t**2 + 63*t - 32. Let u = 151 - 148. Let i(a) = 4*a**3 - 36*a**2 + 64*a - 32. Let p(q) = u*i(q) - 2*s(q). Factor p(n).\nAnswer: 2*(n - 16)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 t when four letters picked without replacement from {g: 3, t: 3, h: 2, x: 12}.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.95 - -0.05. Let k be 212\/954 - 1\/((-99)\/(-31)). What is the second biggest value in h, k, 14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 11*r - 17. Calculate q(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-162)*6*3456\/3840.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**3 - 27*f**2 - 5*f + 8. Determine n(-9).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r + 14 + 0*r**2 + 16*r - 2*r**2 - 4*r. Let m be g(10). Let t(h) = -4*h + 31. Is t(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-14))\/((-9)\/(-24) + 231\/(-392))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-540)\/720*10*(0 + (-260)\/(-75)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7323646, 7323649, 7323654, 7323661?\n\"Answer: u**2 + 7323645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/35)\/3*-4*42\/(-192)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 0 + 24. Let r be (2*j\/4)\/(-2). Let b(z) = -z + 3 - 4 - 1. Calculate b(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 s when four letters picked without replacement from vvvsvvvvvsvvsvvwsvvs.\nAnswer: 182\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/14)*c\/(c\/((((c\/(c\/c**(-2\/11)*c)*c)\/c)\/c*c)\/c*c)))\/(c**(2\/5))**29 assuming c is positive.\nAnswer: c**(-9787\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 1. Let x(n) = -2*n - 2. Let a(c) = -5*u(c) - 2*x(c). Let v(b) = 3*b + 6. Calculate -6*a(o) - v(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**3 - 1843*r + 33811.\nAnswer: -6*r**2 - 1843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (126\/(-12)*(-60)\/(-9))\/1. What is the smallest common multiple of 11 and (-3)\/(10\/(-2)*(-6)\/v)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**5 + 308*f**4 + 7468*f**3 + 45036*f**2 - 279936*f + 314928.\nAnswer: 4*(f - 2)**2*(f + 27)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f**3 + 1495*f**2 + 2210*f - 1480 = 0.\nAnswer: -148, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-15)*175\/28*2. Let d(u) = u**3 - 5*u**2 + 2*u + 25. Let y be d(q). Let n = -1 - -5. Put n, 0.2, y in increasing order.\nAnswer: 0.2, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -2*w**2 + 4 - 2\/3*w**3 - 2*w. Factor g(u).\nAnswer: -2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 287*h**4\/4 - 22*h**3 + 298. Find the third derivative of s(w) wrt w.\nAnswer: 1722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o = 21*o - 9. Let b be (o\/6)\/(6\/28). Let s(c) = c**2 - 2*c - 1. Let q be s(-1). Solve r + 0*r = 5*u + b, -q*r = 2*u + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/1254, -4, -0.03, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i - 7. Let g be b(5). Suppose 0*o - g = -2*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1595959508 and 0.5.\nAnswer: -1595959507.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1268839.08 to the nearest one hundred.\nAnswer: 1268800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, t: 5, n: 8}. What is prob of sequence hntn?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-12)*u)\/(u**14*u)*(u**(2\/9))**(-11\/6) assuming u is positive.\nAnswer: u**(-713\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1089 + 1110 + -1 + 0\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -10*w - 37. Suppose 0 = 3*u + 5*a + 1, -6*a - 5 = 3*u - 2*a. List the prime factors of g(u).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*i + 136*i - 243*i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 23662 divided by 11831\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 4:11 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29, 22, 9, -10, -35, -66?\n\"Answer: -3*l**2 + 2*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127603402 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -355054?\nAnswer: 355052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1573238827.1 to the nearest one million.\nAnswer: -1573000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2567, -2577, -2591, -2609, -2631, -2657, -2687?\n\"Answer: -2*v**2 - 4*v - 2561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225566, 451117, 676664, 902207?\nAnswer: 1127746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 30 = -20*m. Which is smaller: -25 or m?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1839 is divided by 1838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 572\/(-260) + 2\/10. What is the smallest common multiple of (-506)\/(-10) - 9\/15 and (w\/(-2))\/((-8)\/(-32))?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 64614.06 milliseconds?\nAnswer: 64614060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 6*g**2 + g - 5. Let x = 50 + -44. What is v(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258, -775, -1562, -2625, -3970, -5603, -7530, -9757?\nAnswer: -12290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (10 - 5 - (2 + -5))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*j - 170*j = -64*j. Solve -9*y + 45 + j = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001032 - 1233?\nAnswer: -1002331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12028 = -3*b - 2*h, 8*b - 3*h = 5*b + 12048. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133*w**2 + w**4 - 4*w + 2*w - 129*w**2 + 2*w**3 to the form g*w**4 + r*w + i*w**3 + z + v*w**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249*d - 223*d = 104. Sort -5, 11, -4, d in ascending order.\nAnswer: -5, -4, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20687645?\nAnswer: 5, 11, 227, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3395162297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/20 and 1\/484.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9590, 3.\nAnswer: 3, 4, 9590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 11*p - 16. Let m be t(-9). Solve m = 2*u - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**4\/4 - h**3\/6 + 11*h**2\/2 - 5. Let u(n) be the second derivative of k(n). Determine u(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223515*c = -223528*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42\/115 - -4\/115. Suppose 4*z - 36 = 8*z. Let p be ((-6)\/z)\/((-2)\/3). Which is smaller: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805 is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 883638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142*a**2 + 163050*a**3 + 142*a**2 - 180 + 93 + 87 + (4*a - 2*a**2 - 4*a)*(-3 - a + 3) to m*a + k + z*a**2 + n*a**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11911, 47545, 106939, 190093, 297007, 427681, 582115?\n\"Answer: 11880*t**2 - 6*t + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d - 11 = -11*d - t, -4*t = 2*d + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 854694 a multiple of 618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(-1*sqrt(78) - sqrt(78)) - (sqrt(78) - (sqrt(78)*2*3 + sqrt(78))))\/(sqrt(72)\/(-4*sqrt(3)*2)).\nAnswer: -96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109 + 112. Solve 5*t - 5*i = 40, 2*i - 29 = -l*t + 6*i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*j + 6, -y = 2*j + 3*j - 6. Let q(v) = -v**2 + 49*v - 19 + 18 - 50*v. Let r(b) = -10*b**2 - 8*b - 8. Calculate y*r(t) - 8*q(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/28602 and -83\/112365.\nAnswer: 1573110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16531.\nAnswer: 61, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2\/2 + 3261*s\/2 + 399537 = 0. What is s?\nAnswer: -206, 1293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 11850*s**2 - 7021125*s.\nAnswer: -5*s*(s - 1185)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6265898953.\nAnswer: 47, 133316999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-3\/5) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(-2*sqrt(2)) + -3 + 1 - (2 + 1*sqrt(500) - (5 + (sqrt(500) - (sqrt(500) + sqrt(500)*-2)))))**2 + 5 + 0.\nAnswer: 19*sqrt(5) + 1829\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.16?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1400)\/(-1008))\/((-50)\/(-30))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55373\/30 + 1846. Let y = -4\/15 - f. Let p = -2493\/2 + 4987\/4. Which is bigger: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 36\/7 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1362 divided by 271598\nAnswer: 681\/135799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*b**2 - 9034*b - 9884*b + 18919*b.\nAnswer: -96*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a**2 + 76*a + 18. Let u be x(13). Let y(g) = 0 - 1 - 2*g + 4*g. Let q(r) = 5*r - 2. Calculate u*y(b) + 3*q(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81706*r**4 + 310845*r**2.\nAnswer: -1960944*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -595 + 602. Let p(d) = a - 33 + 8 + 12 - d + 4. Let f(v) be the third derivative of v**4\/12 + v**3 + v**2. Give -4*f(m) - 11*p(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 806687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 6*o - 2. Let m(y) = y**2 + 6*y + 3. Let t(w) = 7*m(w) + 6*s(w). Determine b so that t(b) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.85 (b) 0 (c) 0.04 (d) -3\/7 (e) 0.181 (f) 2 (g) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*u + 3*c - 0*c, 5*c + 7 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6765634 (base 10) to base 6.\nAnswer: -401002214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 282 - 280. Suppose 4*n - 1714 = -g*v, n - 7*v - 429 = -8*v. What are the prime factors of n?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37.5 + 37. Let s = -8.43 - -8.93. What is the closest to 0.2 in s, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1679880, 3359767, 5039654, 6719541?\nAnswer: 8399428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-8)*(-4)\/(-6). Let t = 26.3 - 31. Let k = t - -5. What is the closest to c in -2, 0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1901011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12\/32 - (884\/224 - 4)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 2786*n**2 + 65092*n - 62304.\nAnswer: -2*(n - 22)*(n - 1)*(n + 1416)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 8*m - 4. Suppose 4*i = -o - 15, 5 - 1 = -2*o + 5*i. Let l be x(o). Suppose 7*r + l*r - 7010 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 0.4, -6\/13, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(-4 + 2 + 0)*(5*s**4 - 3*s**4 - 5*s**4).\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2456184 and -13\/148218.\nAnswer: 17193288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -942*q + 4474 - 3*q**3 - 4474.\nAnswer: -3*q**3 - 942*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 5. Let i(a) be the third derivative of -a**4\/8 - 3*a**3\/2 - 3*a**2. Let f(m) = -5*h(m) - 2*i(m). Let y be f(5). Which is bigger: y or -5\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbjj when four letters picked without replacement from jwyjopb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-180)\/369) + (6 - -2). Let h be (-6)\/(-3)*(0 - -1). Sort s, -1, -4, h in descending order.\nAnswer: h, s, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 275606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*r - 7 = 0, 11 = 4*v - 4*r + 3. Suppose -v*x + 0*x = -60. Calculate the remainder when 57 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**5\/60 + o**4\/24 + o**3\/6 + 34*o**2. Give y(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/15 + (-94)\/(-6). What are the prime factors of 1\/(-2) - q\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13\/12 - 3\/4. Let d = 38698 - 38698.1. What is the fourth smallest value in 1, -0.8, j, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/182 and -81\/104.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -0.7. Let i = 202 + -430. Let m = 2502\/11 + i. Which is the closest to 1\/2? (a) f (b) 2\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -82*o + 5. Let b(t) = -80*t + 4. Calculate 6*b(g) - 5*x(g).\nAnswer: -70*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 20 = 4*m, -2*n - 3672 + 3640 = 4*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*r**5 - 1849*r**4 - 8*r**3 + 16765181*r**2 wrt r.\nAnswer: -660*r**2 - 44376*r - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*c**4 - 10175*c**3 - 4055*c**2 - 405*c.\nAnswer: -5*c*(c + 81)*(5*c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/5)\/(24\/(-15)). Which is the second smallest value? (a) -7.4 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14339 + -389.66961. Let r = i - -390. Let u = r - 15.087. What is u rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017398201 rounded to six dps?\nAnswer: 0.017398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31.42 + -1.48. Let s = m + 33. Let t = 0.05 - 0.07. What is the closest to t in -2\/15, -2\/3, s?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 798 divide 601211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2709610?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 0 + (-11 - -18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.99 - 0.01. Let o = 17 - -5. Let x = o - 21. What is the nearest to 0.1 in -3\/8, x, h?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00229077 rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z - 18*z + 43*z - 140 = 0 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 8998?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*h + 538*h = 260*h + 931. What is the highest common factor of h and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26298 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 + 2 = 0. Let z(s) be the second derivative of -1\/2*s**2 - 3*s + 1\/6*s**3 - 1\/20*s**5 - 1\/6*s**4 + 0. Give z(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -27*4\/((-240)\/(-950)). Which is smaller: -427 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)*2 + (-2*sqrt(40))\/sqrt(8).\nAnswer: 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -81. Suppose 2*h + l = 128. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11*y**2 - 2. Let l(n) = -2*n**2. Calculate f(l(i)).\nAnswer: -44*i**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - -10 - (-14 - -5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h**3 + 5*h**2 + 2*h. Let p(n) = 3*n**3 - 3*n**2 - n. Calculate 3*f(y) + 5*p(y).\nAnswer: -3*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 14 (b) -3 (c) 2\/3 (d) -4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/348)\/((-4)\/10 + 30302\/(-11120)).\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50.9 - 261.9. Let h = y - -210. Which is bigger: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2880 - 984 = -12*f. Does 61 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/798414 and -109\/30?\nAnswer: 3992070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 2*t**2 + t + 11. Is j(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 3*d = -10, -37589*v = -37587*v + 4*d + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144 - 139. Let f = -0.08 + -4.92. Which is the closest to -1? (a) v (b) f (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -5*b + 8*z, -z - 2278 + 2269 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, v: 2, q: 9}. Give prob of picking 2 q and 1 i.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2011000 - -2?\nAnswer: -2010332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -c?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(8\/5)\/(c**0\/c) assuming c is positive.\nAnswer: c**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-138)\/4)\/((-42)\/56). What is the biggest value in -4\/9, 9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 10*m**2 + 12*m - 7. Let s be a(11). Solve -5*u + s = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + (-35 - -6))*(-5)\/7895. Let l = 167849\/75792 + u. What is the common denominator of l and -37\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4979 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 3*f - 353 + 353 + 0*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 7*i**2 - 6 - 12*i**2 in the form p*i**2 + b*i + v and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c - 6. Let f be o(6). Is 2\/((f\/(-28))\/(-9)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**2\/4 - 2261*g\/4 + 106575 = 0.\nAnswer: -2436, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 11:28 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174812033?\nAnswer: 11, 131, 121313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*d - 19933088, 3673531 + 16259553 = 4*d - b. Let y = d + -2233270. What is y rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 532585?\nAnswer: 532586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - 1\/(-2). Let q = 119 - 85. Suppose -5*j + q = 3*n, 0 = -0*n + 2*n - j - p. Solve 0 = -l - 0*l + 2, 5*d - n = l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 70\/(-28)*8\/10. Let g be ((-3)\/f)\/(3\/8). Suppose g*j = -6 + 210. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9180407, 9180395, 9180369, 9180323, 9180251, 9180147?\nAnswer: 9180005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 12*x + 5. Let w(t) = t**3 - 3*t**2 - 6*t + 9. Let l be w(5). Suppose 87 + l = -29*b. Let n(c) = -11*c - 4. Calculate b*y(u) - 5*n(u).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1474435*g**3 - 1102779*g wrt g?\nAnswer: -8846610*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -7 + 31 + -7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5046342 and 2226.\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.018 - 6763.982. Sort -5, 0, l.\nAnswer: l, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (660\/77)\/(-10)*7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h - t = 9, 0 = -4*h + 3*t + 17. Calculate the remainder when h\/7 + (-3120)\/(-105) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8 + 198 = 0. Suppose -2*f - 16 = -3*o - 42, -5*o + 58 = 2*f. Calculate the greatest common factor of f and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + x = 173, 2*l + 2*x - 74 = -0*x. Calculate the remainder when l is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 66\/(-55)*(-1 - (-6)\/(-4)). Suppose 4*q - 4*v - 116 = -128, w*v + 6 = -2*q. Let f(s) = -2*s**2 + 5*s**2 + 2 + 4*s - 2*s**2. Calculate f(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3363 is divided by 1285.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 35 = -2*s. Solve 0 = x + 4*g - s, -3*x - 2*x + 5*g = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14421.782 rounded to the nearest ten?\nAnswer: 14420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0351400002 plus -1440.948?\nAnswer: -1440.9831400002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 31*h**3 + 12*h**2 - 3*h - 3. Let l(j) = j**2 + j + 1. Let s(t) = 3*l(t) + y(t). What is the third derivative of s(k) wrt k?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 z, and 1 f when three letters picked without replacement from fkccfckztck.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 597785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**2\/2 + 18*b + 13063. Suppose -42 = -4*q - 2. What is z(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -6. Let j(y) = -y**2 + 3*y - 24. Let i be j(10). Let f = -80 - i. Solve a*d + 2 = f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0418? (a) -2 (b) 0.08 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c - 54 = 0. Round c to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**4\/5 + 42*f**3\/5 - 54*f**2 + 702*f\/5 - 648\/5 = 0.\nAnswer: 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 18*v**2 + 3*v + 5. Let o be k(-1). Solve o = 11*l - 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -0.4, -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -130201031130 (base 4) to base 12\nAnswer: -2606510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7752*p. Let z(i) = -57536*i. What is z(v(t))?\nAnswer: -446019072*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/9 - 505288*r**3\/3 + 31923589256*r**2 - 3446274359808*r + 93036148826112 = 0. What is r?\nAnswer: 54, 378912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -184447.83 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a + 3. Let m(s) = -7*s + 4. Let w(z) = -z + 1. Let u(h) = -4*h - 13. Let f(i) = u(i) - 5*w(i). Let n be f(15). Determine n*m(l) + 4*x(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 195689 <= 195706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve 43*g + 1174 = -8*g + 1735 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/59125 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4928 (base 14) in base 16?\nAnswer: -31e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.093 times -0.2?\nAnswer: -0.0186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -431 - -729. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + (-2*-2*sqrt(26))\/(sqrt(22)\/(sqrt(396) - sqrt(11)))) + 0)**2.\nAnswer: -2880*sqrt(13) + 187344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 984 = -6*z + 942 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + i + 0*i)*(-4 - 3 + 5)*(-3*i**3 + 2*i**2 - 2*i**2) in the form z*i**4 + h*i + m*i**3 + o + q*i**2 and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-29)\/(-2)*(4 + -6). Let d = 31 + u. Suppose -q + 23037 = d*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85900897 times 0.2?\nAnswer: 17180179.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3129 is divided by 1037?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -905*f**3 + 18*f**2 - 14*f. Calculate l(1).\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -11. What is the highest common divisor of x and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2888 divided by -8.\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 - j - 1. Let m(p) be the second derivative of -p**4\/6 - 225*p. Let i(a) = -4*m(a) + 3*t(a). Determine i(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 5*o - 3. Let b be v(-3). Let x(i) = 9*i + 2. Let s(m) = 20*m + 3. Suppose 0 = -a + 47 - 52. Let f(y) = a*x(y) + 2*s(y). Determine f(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 14*o**2 - 3*o - 10. Let k be ((-42)\/4)\/(15\/20). Let c be t(k). Let z = -17 + c. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1452) + (sqrt(1452) + (-3 + (2*sqrt(1452) - sqrt(1452)) - sqrt(1452)))**2 + 0 + sqrt(108) + sqrt(108)*-1).\nAnswer: -550*sqrt(3) + 7305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**2 + 68*w - 68*w.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44, 90, 136, 182, 228?\n\"Answer: 46*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/2780 and 55\/278.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 69. Determine p(-35).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**16*r**(-1\/11))\/(r**(-20)*r**20) assuming r is positive.\nAnswer: r**(175\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/4)*w*(w**4*w)\/w*w**(-5)*w**1)\/(w*w**3*w\/(w\/(w**(-2\/9)\/w))*w*(w**(2\/7))**(-19\/3)) assuming w is positive.\nAnswer: w**(71\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 115, 114, 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 + 2832905.67?\nAnswer: 2832740.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 10*b + 5. Let v(q) = -q + 3. Let m be v(0). Suppose 3*y = -2*g - 1, m*y + 11 = -2*g + 2*y. What is the tens digit of w(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b1a (base 13) in base 2?\nAnswer: 11001001000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2270721 is divided by 25803.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130280851 is divided by 44.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 4*f**2 + 3*f - 3. Let u be n(-5). Let t(a) = 2*a - 2. Let m be t(3). Let j = u - m. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/84)\/((-34)\/(-119)). What is the nearest to -2\/9 in -4, n, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 11:15 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**4 + 240*u**3 - 320*u**2 - 61440*u - 327680 = 0.\nAnswer: -8, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 2*n**2 + 5*n - 8. Give z(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(135) - (sqrt(135)*2 + sqrt(135))))\/sqrt(3))\/(-4*(sqrt(36) + 3*sqrt(36))).\nAnswer: sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 2.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, -1\/4, 4\/11, 6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -248*d + 21323. Give t(86).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.34 + 38.66. Let u = j - 38.3. Which is the nearest to u? (a) -3\/7 (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1 - 5*k - 13*k + 6*k + 5. Suppose 0 = -12*y + 14*y + 3*p + 4, 4*y = 3*p + 28. What is z(y)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/4 + ((-6248)\/(-92) - (-5 - (-2825)\/575))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437 - 51 = -8*i. Suppose -5*y = -17450 - 13730. Suppose i*n = 65*n - y. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.041 and -3.\nAnswer: 0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -129*l - 46*l**3 - 69*l + 98*l + 57*l in the form n + x*l + t*l**2 + q*l**3 and give q.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3554*u**3 - 2298*u + 2298*u.\nAnswer: 3554*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -30*q + 0 + 0 + 39*q. Let j(z) be the second derivative of -z**4\/6 + 2*z. What is j(u(l))?\nAnswer: -162*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -802*z + 335. Calculate o(1).\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25.4 and -31.\nAnswer: 787.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1467196854?\nAnswer: 2, 3, 244532809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -12 and -758459.\nAnswer: -758471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) + (-958)\/(-8). Suppose -4*s - s = -w. What is the highest common divisor of 72 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/780 and -43\/3241704.\nAnswer: 210710760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19124055?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6\/18*6)\/((-6)\/(-12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*k. What is k rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 8*u - 8. Calculate r(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**3 + 281*a**2 - 185*a - 93 = 0.\nAnswer: -1\/3, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 959608?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -1. Suppose -37*g - 38*g + 150 = 0. Is g greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/15 of a week?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129412 * -0.085.\nAnswer: 11000.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 14*z = 10*z. Which is the nearest to z? (a) -7\/8 (b) 0.1 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 + 120?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.02 and -0.5461676.\nAnswer: -1.5661676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - l**2 + 5*l - 5*l)*(15*l - 9*l - 9*l).\nAnswer: 3*l**3 + 42*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1185, -9462, -31941, -75726, -147921, -255630, -405957?\n\"Answer: -1184*j**3 + 3*j**2 + 2*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(((z\/z**(-1\/45))\/z)\/z))\/z)**(-48)*(z*z**(-45))**(-40))**(4\/7) assuming z is positive.\nAnswer: z**(14272\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*h - 290, -2*h + u = 5*u - 132. Let f be 9\/(-21) + 108\/h. Suppose 4*b + 8 = 3*s, -7 = 5*b - 6*s + 3*s. Is b >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -4*l**5\/5 - 7*l**4 - 24*l**3 - 40*l**2 - 32*l - 11. Factor v(j).\nAnswer: -4*(j + 1)*(j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*o + 3 = 67*o + 2*v, 5*v = 4*o + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2181, 2176, 2171?\n\"Answer: -5*v + 2186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 222 + 7. Does 39 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5\/13 - 20*j**4 - 1250*j**3\/13.\nAnswer: -2*j**3*(j + 5)*(j + 125)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Let i = f + -4. Is i\/6 - (-320)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, n: 2, a: 3, r: 4, v: 4, u: 1}. What is prob of picking 1 u, 1 r, and 1 a?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 855, 6757, 22691, 53643, 104599, 180545, 286467, 427351?\nAnswer: 608183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2338 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1282.155354 + -32.778546. Let g = 1315 + w. Let s = -0.069 + g. Round s to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374358 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.16 + -6.16. Let v = i - -17.1. Let c = -4 + v. What is c rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gewegbgppe. Give prob of picking 1 g, 1 e, and 1 b.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/165 - -173\/660. Suppose 16*p + 2 = 17*p. Let h be ((-7)\/21*p)\/(16\/(-30)). Which is the closest to -1\/4? (a) h (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 3.4. Let s = -8 - -5. Let g = 1 - 0. What is the closest to -0.1 in s, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and (-3921)\/(-51) - (-2)\/17.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6346, 12700, 19066, 25450, 31858, 38296, 44770?\n\"Answer: k**3 + 6347*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b**2 + 17*b**2 - 8 - 3 - 3 - 1 - 10*b.\nAnswer: -2*b**2 - 10*b - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 2*m - 13. Let s be p(6). Is s <= 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaaqqqnaqxunq. What is prob of sequence xa?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1749*q**3 + 8*q**2 + 4*q - 7. Let g be s(6). Let m = -72521 + g. Round m to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1260 - 541?\nAnswer: 91b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8025 is divided by 7239?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a microgram in nanograms?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/8 of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + 3*n - 2*n)*(n**2 + 2*n - n + 12*n + (-8*n**2 - 3*n**2 + 4*n**2)*(5 - 6 + 0)) to the form l*n + f*n**2 + m + b*n**3 and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -112 (b) -1\/3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0, 12 in decreasing order.\nAnswer: 15, 12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -3*c**6\/20 - 7*c**4\/12 + 5*c**2. What is the second derivative of g(z) wrt z?\nAnswer: -108*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*i + 316. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 times -0.01\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 3, x: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 + 0.04. Let y = 4.6 + -5. Suppose 80*t - 181*t - 68 = -84*t. What is the nearest to 1 in y, t, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*35\/45)\/(7\/(-36)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357873.\nAnswer: 3, 119291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - b = 17, -3*b - 2*b - 97 = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((3\/(-5))\/(10\/25))\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*s**4\/2 + 72*s**3 - 147*s**2\/2 + 18*s = 0 for s.\nAnswer: 0, 4\/11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.411 - -88.291. What is y rounded to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 514\/3 + -172. Which is the nearest to 0? (a) -0.4 (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**6 + 21*c**5 - 20*c + 0*c**6 + c**2 + 38*c**4 - 3499 + 3502 wrt c.\nAnswer: -360*c**3 + 1260*c**2 + 912*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 231779.6 to the nearest 1000.\nAnswer: 232000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.685 - 61704882511?\nAnswer: -61704882510.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*o + 130 + 422. Let s(m) = 2*m**3 - 46*m**2 + 2*m - 47. Give s(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/3530 and 47\/1834.\nAnswer: 3237010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 0.5 (b) 765.76 (c) 4\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - m + 1. Let v(p) = -3*p**2 + 3*p + 48. Determine -5*l(r) - v(r).\nAnswer: -2*r**2 + 2*r - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 13*q - 59. Let d be s(29). Let n = d - 307. Solve -9*g - n = 34 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2791, -0.4, -68\/9 in decreasing order.\nAnswer: 2791, -0.4, -68\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -3*l - 18*l**4 + 1 - 4*l**2 - 5\/3*l**3. Let t be i(7). Round t to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2274a3391 + 2?\nAnswer: -2274a338a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4 + 0 = 0. Suppose 24 + 8 = c*i + 3*z, 2*z = 5*i - 17. Suppose -i*g - 11 + 31 = 0. Calculate the greatest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*j - 21 = -j, 0 = 5*y + 5*j - 85. Suppose -3*p = w - 4, -p + y = p + 3*w. Solve 4*k - 30 = -5*o - 4, p = 4*o + 4*k - 24 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3\/7)*v)\/(v**(4\/7)*v*v))\/((v*v*v**(1\/10)*v)\/v*v**(2\/9)))**38 assuming v is positive.\nAnswer: v**(-7391\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 918 and 12120.\nAnswer: 1854360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*w - 68. Let f(m) = -2*m**3 - 26*m**2 + 6*m. Let n(b) = -b**2. Let p(o) = w*n(o) - 2*f(o). Factor p(j).\nAnswer: 4*j*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 736\/(-86) + (11 - 3). Is -1 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -168 - 98. Let a = i + 480. Let p = a + -214.087. What is p rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 42 = -5*k, -3 - 1 = -k - 5*o. Let s = 10 - k. What is the nearest to -1\/3 in 4, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i + 198. Let q be l(-20). Suppose -38*v = -97*v - q. Is v less than or equal to -30\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 28\/3. Let p = -28 + 16. Let l = p + 17. Which is the nearest to 1? (a) 1 (b) l (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 203\/(-35))\/(2\/(-2))*15500\/372?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026 divided by -27?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 2*u + 12890 - 495*u - 12890 + (3 - 6 + 2)*(u + u - 3*u) - u - 4*u + 3*u to x*u + h and give x.\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(19\/2)*(x*x**(-39)\/x)\/x)\/(x**(-1\/32)\/x**(-21\/2)) assuming x is positive.\nAnswer: x**(-1279\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -53\/210, 355, 2\/17, 2\/9?\nAnswer: -53\/210","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 65 = j - 375, 5*j = 5*p + 1625. Suppose 3*t + 3*q = j, -5*t + 534 = -0*t - 3*q. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2205645342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**5 - 155*l**3 - 3*l**2 - 48*l wrt l?\nAnswer: -60*l**2 - 930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 32 = -4*o, -5*o + 40 = 5*w - 10*w. Let y = 6 - o. Let g(f) = -3*f - 3. Let u be g(y). Solve 0 = 4*r - 5*i - u, 0 = 2*i - i - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002012 + -10220?\nAnswer: -10020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118402*-407.\nAnswer: -48189614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 219 and 2628?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-1*1)\/(57\/19).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -232024 and -2\/1777 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -1. Let f(p) = -q*p + 0 + 1 - 1 + 1. Let h(g) = g. Calculate -f(i) - 2*h(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6 = 2*u, 4*u - 35 = -u + 5*j. Suppose -u*f + 1 = 3, 2*p - 41 = -f. Suppose -2*z + 51 = -p. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**3 - 17*h**2 + 5*h + 19. Let x be z(-6). Solve -x*a = -29*a - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-21) - 8\/(-28). Let r = 50 + -48. What is the closest to -0.1 in f, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 15. Suppose 8*z - b = 5*z. Factor 3*r - z*r**2 + r**2 - 4*r.\nAnswer: -r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 225712046.\nAnswer: 677136138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**5\/7 - 81470*z**4\/7 - 1466868*z**3\/7 - 9780020*z**2\/7 - 28526350*z\/7 - 30564750\/7 = 0.\nAnswer: -5, -3, 40753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694713.2 + -1.816?\nAnswer: 1694711.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/12)\/(4\/(-84)). What is the tens digit of ((-269)\/3)\/(f\/(-21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000080872 to seven dps.\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 224, 216, 202, 182, 156, 124?\n\"Answer: -3*y**2 + y + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (26\/4)\/((18\/(-3))\/(-12))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -227 - -225. Which is smaller: 3.9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 1. Let j be t(-1). Suppose j*q - 7*q = 0. Solve 4*s - 28 = -4*v, q = 4*v + 2*s - 20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 15 = z, -1208*z + 407*z = -389*z - 407*z + 25 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 31)*((0*i**2 - 2*i**2 + 4*i**2)*(2*i**3 + 3*i**3 - 3*i**3) + 4*i**5 - 10 + 3061*i - 3061*i).\nAnswer: 248*i**5 - 310","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -439, -4, -6, -21 in increasing order.\nAnswer: -439, -21, -6, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (42\/(-7) + 7)\/(-2 - -1). Let k = -106 - -103. Let z be 60\/18 - b\/k. Solve 2*n + 3 = -z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2. Let i(k) = 40307*k**2. Give s(i(o)).\nAnswer: -1624654249*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90671431 to the nearest integer?\nAnswer: 9522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 479.2056ml in litres?\nAnswer: 0.4792056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -15) + -2 + 1 - 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = -2*f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273, -265, -245, -207, -145?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28747 = 35*q + 28677. Factor -1\/5*n**3 + 11\/5*n**q + 13\/5 + 5*n.\nAnswer: -(n - 13)*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*l**4 - 99*l**4 - 32*l**4 - l**4 - 3*l**4 + 2*l**4 + (-1 - l**2 + 1)*(-l + l + 2*l**2) - l**4 - 2*l**4 + l**4.\nAnswer: -80*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 12:01 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.27, 0.14, 37, 2\/3, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, c: 1, m: 6, k: 2, j: 1, a: 2}. Give prob of sequence mjc.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -3*k + 165. Solve 15*q - 5*q = k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -5*c + 5*i, 7*i = -3*c + 2*i + 146. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c. Let t(d) = 2*d**2 + 16*d. Give t(o(q)).\nAnswer: 32*q**2 - 64*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -16. What is the remainder when 40 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1783950 divided by -6?\nAnswer: 297325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2 + 27*a - 8. Let f be q(9). Which is bigger: -10 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100235 - 1044550?\nAnswer: -1145225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543074.\nAnswer: 2, 7, 38791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (14 - 19) + 3 - -2742 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -379 + 1138\/3. Which is the biggest value? (a) 24\/5 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -22. Suppose 0 = 5*w - 0*w - 15. What is the greatest common factor of r and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 33957?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 2, h: 1, l: 1, y: 2}. Give prob of sequence ly.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2 + 2*j. Let t(r) = -4*r**2 + 4*r + 4*r**2 + 7*r**2. Let u(h) = -5*n(h) + 3*t(h). Suppose u(i) = 0. What is i?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 10 - (-109 - -104).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209 and 5747500.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*f - 288, -3*f = -h - 0*h - 79. Let d be (-19)\/((-418)\/(-6)) + 971\/11. Let v = h + d. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -701*h + 690*h = 33 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6728407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 12:09 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683042503.\nAnswer: 11, 13, 4776521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619*c + 257*c - 875*c - 136*c + 112*c.\nAnswer: -1261*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2. Let v(x) = 361*x - 133. Let o(p) = 11*p - 4. Let h(d) = -133*o(d) + 4*v(d). Determine h(z(n)).\nAnswer: 38*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275756884.\nAnswer: 2, 13, 5303017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (79 - 81\/(-9)) + 3. Suppose -h + 84 = -c + 3*g, g - 51 = -3*c. Suppose -5*m + 57 = 3*p - 0*p, -28 = -2*m + 4*p. Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Let b be (1\/2)\/(z\/12). Suppose -b*w + 11 + 15 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) + 22\/(-24). Let y = 56 - 55.8. Let u be (-6)\/15*(5\/(-18))\/(48\/(-216)). Which is the nearest to u? (a) k (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g + 20 = 0, 3*r - 92 = -g. Calculate the common denominator of r and -5\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199 a factor of 13510579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 346 + -128. Let i = x - 218.486. Round i to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123)\/(-492) - (-1)\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-2 + 2*m + 2)*(30*m**4 - 70*m**4 + 34*m**4).\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 207\/76 - 28\/19. Let u = -2531 + 1695. Let r = u - -4987\/6. What is the common denominator of r and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/75)\/q)\/((q**(-4\/9)\/q)\/q))**46 assuming q is positive.\nAnswer: q**(14674\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 21?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 122, 185, 242, 287, 314?\n\"Answer: -k**3 + 3*k**2 + 61*k + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84\/5 - -179\/30. Let c be (-10)\/6*(-303)\/(-2). Let z = c - -263. What is the common denominator of z and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 21*s - 43. Suppose -s*z - 103821685 - 79378323 = -4*n, 0 = -2*z + n - 91600002. Round z to the nearest one million.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*s = -6*h + 2, 3*s = h + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(0 - (-3)\/6 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -3*z**5\/20 - 2*z**3 - 2*z. What is the second derivative of p(f) wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = -4. Sort -3, n, -4 in increasing order.\nAnswer: -4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 21*y + 60. Let l be j(4). Let p(z) = z**2 + 2*z + 3. Let c be p(-2). Let x = 6 + c. Calculate the greatest common divisor of l and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**2\/4 + 24865*b\/4 - 12433\/2 = 0.\nAnswer: -24866, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - j + 19 = 5*l, 0 = -4*l + 4*j + 20 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 2124?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1191899 by 3.\nAnswer: 1191899\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(175))**2*-1 + (sqrt(175) + 1)**2*-3)*6 + (sqrt(35)\/(2*sqrt(5)*-3) + (sqrt(28) + 3 - sqrt(70)\/(sqrt(10)*-1)))**2.\nAnswer: -262901\/36 - 163*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 293524011 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -0.1 (c) -185 (d) -2\/5 (e) 2\/41 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, u: 3}. Give prob of sequence fufu.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(273)\/(sqrt(21)\/sqrt(3)))\/(-1*(sqrt(24)\/sqrt(4))\/sqrt(2)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**4 + 3*k**3 - 9504190*k**2 - 557320*k + 27.\nAnswer: 24*k**2 + 18*k - 19008380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(468) + sqrt(52))*4)\/(sqrt(4) + sqrt(16)*2))**2.\nAnswer: 13312\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 13*t**2 + t + 1. Is v(-1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5395\/(-104995) - 3\/23?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 470 + -341. Is 24 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-72)\/224 - (1 + (-3)\/2). Let j be ((-3)\/(-6))\/(7\/6). Let a = n - j. What is the second biggest value in 0.4, a, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9*f**3 + 13*f**2 - 16*f + 195. Is p(41) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2554, -5109, -7664, -10219, -12774?\n\"Answer: -2555*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/56 and 101\/152.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -320012010 + 1001?\nAnswer: -320011003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o. Let r(j) be the third derivative of j**5\/60 + 10*j**2. Calculate r(k(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 21*k + 0 to g*k + f and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, 44, 22\/5, 5, 1.3, -5.\nAnswer: -5, 0, 0.4, 1.3, 22\/5, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 9620000 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2258 + -1000. Is w a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47905 - 16421 = -4425*s - 101266 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(-3)\/(-1)*17\/(-17)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2148.4 + 2148. Let i be ((-7)\/(70\/(-4)))\/76. Let u = i - -367\/2470. Which is the closest to -0.1? (a) 0 (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647.2 rounded to the nearest ten?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14126214 is divided by 11831.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -13438524.\nAnswer: 5\/13438524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4+19267777\nAnswer: 19267773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12816 - 12817. Let c be -2*(-2)\/24*2. Let k = 13 + -8. Sort k, c, z in decreasing order.\nAnswer: k, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1285\/514*(2\/5 + 32\/10)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 308 - 92. Let t be ((-5)\/(-120))\/((-68)\/v - -2). Factor 3\/8*a**3 - t*a + 1\/4 - 1\/8*a**2 - 1\/8*a**4.\nAnswer: -(a - 2)*(a - 1)**2*(a + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q + 0*q)*(-q + 0 + 0 - 4 + 2*q + 4 + (1 - 3 + 0)*(2*q - q - 3*q) + 1 - 1 - 2*q - 96*q + 100*q + 153*q)*(-q + 4*q - 5*q).\nAnswer: -320*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**5\/3 + 1432*o**4\/3 + 49912*o**3 + 3630416*o**2\/3 - 8337868*o\/3 - 3939992 = 0. Calculate o.\nAnswer: -161, -38, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) -2 (b) 3\/7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 7*u**2 - 5*u - 1. Suppose 5*n - 2 - 8 = 0. Suppose 0*f + k = -f + 11, -10 = -n*k. Let p be d(f). Solve 5*a + p - 25 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 439146.5 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 2:40 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25723, -59032, -92341?\n\"Answer: -33309*k + 7586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -13 - (6\/2 - 6). Let y be (-66)\/(-15) - (-4)\/g. Suppose 0*l = -y*l + 252. What is the highest common divisor of 42 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -532941, -1065886, -1598833, -2131782, -2664733, -3197686, -3730641?\nAnswer: -4263598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(52) - sqrt(208)\/sqrt(4)) + -1) + (sqrt(325)*1 - (-5 + -4*sqrt(13))))*-4.\nAnswer: -36*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -39247.\nAnswer: -31\/39247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -40104010551?\nAnswer: 40104010550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16443642?\nAnswer: 2, 3, 2740607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 2289?\nAnswer: -2288.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-7) + (-6 - -10)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -22. Suppose 8 + 4 = -4*c. Let p be 4\/6 + c\/(-9). What is the second smallest value in -0.3, p, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2589 divided by -2421.\nAnswer: -863\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvm when three letters picked without replacement from {m: 2, k: 3, g: 7, f: 1, v: 4}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12505056.\nAnswer: 2, 3, 130261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*n - 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 4*k - 12. Calculate the common denominator of (-134)\/20*(-6)\/(60\/k) and -15\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 4. Let o = -7\/5 - -33\/20. Let t = -0.5 - -1.5. Which is the nearest to t? (a) n (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43, 86, 129, 172?\n\"Answer: 43*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 + -111. Is -4 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7682, 8445, 9208, 9971, 10734?\nAnswer: 11497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s + 15. Let w be (-5)\/30 + (-44)\/24. Let i(q) = q + 3. Calculate w*r(l) + 11*i(l).\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**8\/28 - z**7\/15 + z**5\/60 - 5*z**4\/3 + 174*z**2. What is the third derivative of r(j) wrt j?\nAnswer: -720*j**2 - 336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 j, and 1 u when four letters picked without replacement from wjtunwd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-2) + 2717\/(-418) - -57?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -23, 24, 5, 3, 2 in decreasing order.\nAnswer: 26, 24, 5, 3, 2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - k + 1. Let o be x(2). Suppose 0 = m, -3*q + 4*q - 3 = o*m. Let s be 2\/(-6) + (-2)\/(-3). Sort s, q, -1 in ascending order.\nAnswer: -1, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**7\/840 - d**6\/120 + d**5\/60 - d**4\/6 + 41*d**3\/3 - 31. Let k(v) be the third derivative of q(v). Give k(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*b, -3*r - 15*b + 19*b - 4 = 0. Solve r*y = y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 13305?\nAnswer: 13302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -3, 46, 1, 15 in ascending order.\nAnswer: -3, -2, 1, 2, 15, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(9) - (sqrt(225) + -1*sqrt(225))))\/((sqrt(120) - ((-1*sqrt(120) + sqrt(120))*-6 - sqrt(120)) - sqrt(120))\/sqrt(12)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, 15, 19, 25, 33?\n\"Answer: y**2 - y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 11*t - 8. Let h be d(12). Let s = h + 17. Let m(n) = n**2 + 3*n + 1. Let y be m(s). Does -6\/13 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/k**(-1\/2))\/((k*k**(-1))\/k)**2*k**(-1\/3)*k*k**(-1\/2)*(k\/(k*k*k\/k**0*k*k))\/(k*k**5) assuming k is positive.\nAnswer: k**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 370 = -530. Let c = y - -43. Let u be (-52)\/c + 0\/1. Are -3 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*2\/10 + (-60)\/(-150)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 196 (b) 156 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1158\/7 + -166. Suppose w = -0*w + 4. Suppose 0 = w*s - 8 - 0. What is the nearest to 2 in x, -2\/9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9532 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11918 - 321731\/27. Calculate the common denominator of -19\/225 and o.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93 or 0?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - 7dcab47?\nAnswer: -7dcab3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lololvvllmlk. What is prob of picking 2 l?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442404 (base 8) in base 11?\nAnswer: -260781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2697, -5395, -8093, -10791?\n\"Answer: -2698*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 9805.\nAnswer: -4\/9805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from ghghhhgh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -518354 + -1?\nAnswer: -518355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6386244 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10001001101?\nAnswer: 10001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635472?\nAnswer: 2, 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -0.3\nAnswer: 0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + -9a?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -0.2. Let a = -0.47 + 0.07. Sort b, -1\/2, a.\nAnswer: -1\/2, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4338*l + 7*l**2 - 4338*l.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8319\/(-45) - 2\/6. Which is bigger: i or -185?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/4 of a microgram in nanograms?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3050*v. Let a(b) = -3*b + 7398. What is o(a(s))?\nAnswer: -9150*s + 22563900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8545 + 22437. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 400248*s + 13349871792.\nAnswer: 3*(s + 66708)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 8690700 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**2 + 2*h**2 - h**2)*(-2*h + 5*h + 2 - 5) to the form s*h**2 + b + o*h**3 + q*h and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 3*p. Suppose -17*o + 60*o = -301. Let l(i) = 3*i**2 - 5*i. Give o*g(v) - 4*l(v).\nAnswer: -5*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16659 + 19459. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 491112, 982257, 1473438, 1964673, 2455980, 2947377, 3438882, 3930513?\n\"Answer: 3*s**3 + 491124*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 180*z**5 + 1215 - 1215 + (4*z**2 + 0*z**2 - 3*z**2)*(-4*z**3 - z**3 + 3*z**3) + 4*z**5 + 0*z**5 + 0*z**5.\nAnswer: 182*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 39*n + 12 - 29*n - n**2. Let b be k(-8). Let l = 0 - b. What is the remainder when 9 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4\/7 - 218*j**3\/7 + 15756*j**2\/7 - 372150*j\/7 - 388125\/7 = 0.\nAnswer: -1, 69, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/9 (b) -78 (c) 2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzccgggcrgcnggcgncg. Give prob of sequence zr.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 m when three letters picked without replacement from {m: 2, w: 11}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2*s = -111, -5*s - 848585 = -5*v - 848705 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6b6 - -9027?\nAnswer: 8751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c1 + 12?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 3*n**2 + 3*n - 4. Let a be j(-2). Let b = 35 + a. Let h(p) = -p - 5. Let k be h(-4). Put -3, b, k in descending order.\nAnswer: b, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/10204700 and -85\/132.\nAnswer: 30614100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 2, 88, 1, -160.\nAnswer: -160, -66, 1, 2, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 86 - 86 + 14*h as f + x*h and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -405 (base 15) to base 9\nAnswer: -1215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487.1998 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -0.4, -5, 1\/4, 1\/5, 0.04?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j**2 + 6*j - 6. Let g = 106 + -107. Let c(i) = -i**2 - i + 1. Let b(w) = g*u(w) - 6*c(w). Let y(f) = 53*f**2. Give y(b(z)).\nAnswer: 212*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -1b8090?\nAnswer: 1b8087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 224510 to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*r**4 + 3885094*r**2 - 4446*r + 17772?\nAnswer: -156*r**2 + 7770188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -78, -108?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -382232*j**3 + 493127*j?\nAnswer: -2293392*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14885682 or 14885679?\nAnswer: 14885682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1248)\/(-105))\/(-2) - -4 and 48.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/37387 and 53\/4.\nAnswer: 149548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -215.2.\nAnswer: -43.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 745, 793, 881, 1015, 1201, 1445?\nAnswer: 1753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10442 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*(-1)\/4*-1. Suppose 2*j = 4*x + 336, -3*x + v = 5. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 = v, -v + 3 = 6*k - 5*k. Suppose -k*o + 23 - 5 = 0. Let m = -1 + o. Solve 0 = -h - 3*r - 10, -m*r + r - 20 = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27643*b**3 - b**2 - 19671*b.\nAnswer: -165858*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 343, 939, 1535?\n\"Answer: 596*p - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awawlaaall. Give prob of picking 1 w and 2 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4244522 - 120?\nAnswer: -4245042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 23*m**4\/24 - m**3\/3 + 290*m**2. Let a(t) = 7*t - 6. Let w(q) = -13*q + 11. Let o(j) = 11*a(j) + 6*w(j). Calculate o(c(d)).\nAnswer: -23*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 453048 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.652204 months in centuries?\nAnswer: 0.00221017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6182 at most as big as -6183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*y + 3 = 18, -2*j = 4*y - 6. Suppose 264 = -5*f - j*f. Let m(i) = -i**3 - 21*i**2 + 17*i - 5. What is the hundreds digit of m(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i + 9*i - 8*i)*(0*i - i + 4*i)*(0 + 1 + 0)*(-5 - 8 + 1) to the form d*i**2 + o + h*i and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*2935 - (18\/18)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/(-4*7\/168). Let g be y + (-14)\/4*(-4)\/(-7). Solve 9\/4*s + 1\/4*s**3 + g + 3\/2*s**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*v - 123*v - 1036 = 0. Which is the nearest to 0.2? (a) v (b) 0.1 (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35905, -35904, -35903, -35902, -35901?\nAnswer: -35900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 18463604.\nAnswer: 1\/18463604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3587.113kg to grams.\nAnswer: 3587113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1538, 5, -3 in increasing order.\nAnswer: -3, 0, 5, 1538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**2*c*c*c**(-5\/4)*c**(5\/2)*c**(2\/15) assuming c is positive.\nAnswer: c**(323\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 414 and 4600.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -46101, -92208, -138329, -184470, -230637, -276836, -323073, -369354?\n\"Answer: -a**3 - a**2 - 46097*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -289*x. Let i(k) = -325822*k**2. Calculate v(i(d)).\nAnswer: 94162558*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 - 0.27. Let h = -0.07 + q. What is the smallest value in 0.1, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*d + 6673785, -29*d + 28*d - 13347603 = 4*j. What is j rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -223 + 325. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 2:57 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486127 (base 9) in base 13?\nAnswer: 22b442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 114337 less than or equal to 114338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -49631*j**2. Let m(d) = -1633*d. Determine m(s(o)).\nAnswer: 81047423*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14617.6002 microseconds in weeks?\nAnswer: 0.0000000241693125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.3. Let u = -1002 + 1001.91. Put -0.7, u, p in decreasing order.\nAnswer: u, p, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.9 + -0.1. Let w = j - -9. Sort w, -0.5, -3 in decreasing order.\nAnswer: w, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 10:11 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-8))\/(-3) - -1. Let q = 650 - 653. Which is the closest to -2\/7? (a) q (b) -2\/15 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 39 = -4*s + 253, k = -2. Let m = 108 - s. Let w = 582\/11 - m. Calculate the common denominator of w and -79\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 6 (c) 0.5 (d) -40 (e) 28 (f) -1\/7 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.034 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -112021002?\nAnswer: 112021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 3)*(0 + 0 + 2*s**2)*(7 - 4 - 2) + (s + s**2 - s)*(75 + 46 - 35) to q*s**2 + x + h*s and give q.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75795 and 33945?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-60) + (-2078)\/30. Let w = q + 69. Which is the closest to w? (a) 3 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/1016)\/(75\/(-75)*(-10)\/(-4))*4?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + u - 4. Let f be k(-2). Solve 1 + 3 = 4*b - y, f*y = -3*b + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 14*m - 166 = 157, -4*o + 5*m + 215 = 0. Solve -42*f + o*f = -24 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f*f*f**(2\/5)*f*f))\/f)**0)**(-14\/5)\/(f*f**4*f**(-4)*f**(-2\/5)*f**8) assuming f is positive.\nAnswer: f**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38210 or -38209?\nAnswer: -38209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450479.9 minutes in hours?\nAnswer: 24174.665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1826750 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1420*r + 2745 wrt r?\nAnswer: -1420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*p + 5*w, -2*p - 2*w + 12 = -0*p. Suppose 3*f + 465 = p*k + 2*f, 0 = -4*k - 3*f + 905. What are the prime factors of k?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 + (-51 - -104 - 46).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -56*o - 18*o - 25*o. Let g(q) = -2*q. What is g(m(a))?\nAnswer: 198*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 1.1.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 5:50 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/315 and 23\/86045680?\nAnswer: 774411120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-12)*q**15)\/(q\/(q*q\/(q*q\/(q\/q**2)*q))*(q\/q**9)\/q))**42 assuming q is positive.\nAnswer: q**378","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5533205 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**3\/3 - j**2 - j + 4. Let o be t(-1). Put o, -1, -3 in ascending order.\nAnswer: -3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21913, 21914, 21915?\nAnswer: 21916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Let t(h) = 0*h - 3*h + a - 2*h + 0*h. Calculate t(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*l + 3167, 5*v + 1489 = l + 4653. List the prime factors of v.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -3*2\/(-3). Let x be 4 + (-138)\/27 + (-4)\/(-36). Which is the nearest to x? (a) 0 (b) 0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4452, 2346, -1156, -6048, -12324, -19978, -29004, -39396?\nAnswer: -51148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(1\/6)\/w*w)\/w*w*w*(w*w**(2\/13))\/w)\/(((w\/(w**(-4)*w*w))\/w)\/((w**(-1)\/w)\/w*w)))**(6\/13) assuming w is positive.\nAnswer: w**(-131\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.23 - -2.63. What is the nearest to -1\/4 in j, -0.2, -0.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*t - 138 = 387 + 450 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) + sqrt(112)*2 - sqrt(112))*2 - sqrt(112))\/(sqrt(768)\/sqrt(6)))\/(1*(sqrt(1008)*2 - sqrt(1008)) - sqrt(1008)*2*6).\nAnswer: -sqrt(2)\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 13*s + 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019162 to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515839 to the power of 1\/2, to the nearest integer?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -155.8 (b) -464 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**2 + 0*w**5 - 129*w + 79\/30*w**6 + 0*w**4 + 0 + 10\/3*w**3. What is the second derivative of m(r) wrt r?\nAnswer: 948*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-2 - -1) + 10. Suppose 0*r - 3*r + c = 0. Solve -o = r*o - 20, 4*o - 20 = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide (-1)\/(-5)*(58 - -12397)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -31*y**3\/6 + 43*y**2\/2 + y - 1. Find the first derivative of s(m) wrt m.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -13*p**2 + 8. Let y(l) = -8*l**2 + 5. Let q(u) = -5*b(u) + 8*y(u). Let z(w) = -2*w + 117. Calculate q(z(d)).\nAnswer: 4*d**2 - 468*d + 13689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4461 (base 8) to base 11\nAnswer: 184a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 + 3)*(16 + 6*j - j**2 + 11 - 9).\nAnswer: -10*j**2 + 60*j + 180","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0398? (a) 2 (b) -1 (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, r: 3, z: 4, v: 1, j: 1}. What is prob of sequence jv?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuua when four letters picked without replacement from nuzuunazuznua.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*g, -g + 5*g = -4*o. Let s(z) = -2*z + 2. Let p be s(o). What is the second derivative of -5*h - 2*h**4 + p*h + 14*h**5 + 2*h**4 wrt h?\nAnswer: 280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*r)*(-3*r**2 - 6 + 6) + (-3*r + 3*r - 3*r**2)*(7*r - 7 + 7) to i*r**3 + k + g*r**2 + u*r and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 8*f**2 + 11*f - 67. Let d be a(10). Suppose 6*t - 2*t - 1264 = 0. Let z = d + t. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12689.48575 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -35. Solve -5*a = -10, -s*a = -3*v - 0*a - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 6 + 3. Let r(j) = 19*j - q*j - 5*j. Calculate r(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 6. Solve -2*q + 3*q - 5 = 4*d, -c = -5*q + 3*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*x - 50 = 0, 0 = -3*g - 0*x - 3*x - 45. Let q be g\/(-4) + 2\/4. Factor 0 - 4\/7*m**2 + 2\/7*m - 8\/7*m**4 - 2*m**q.\nAnswer: -2*m*(m + 1)**2*(4*m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4068 divided by 24.\nAnswer: 339\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - (0 + -2*10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 1 (c) 2\/7 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.094 - -1.906. Which is the second smallest value? (a) x (b) 8 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 + -51. What is the closest to x in 0.1, 2\/5, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(320)*-1*6 + -5.\nAnswer: -192*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23068637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g + 2. Let f(d) = -77*d + 11. Calculate -f(k) + 6*w(k).\nAnswer: 89*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/558, -4\/9, -65?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 divided by 437?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g - 4. Let b(t) = 73*t**3 + 76*t**3 - 220*t**3 + t - 3*t + 72*t**3 - 3. Give 4*b(n) - 3*r(n).\nAnswer: 4*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-86)\/5)\/((-1)\/5). Let l = 30259 - 271555\/9. Let y = k - l. Put 0.1, 0.2, y in increasing order.\nAnswer: y, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602 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: Simplify b**(6\/7)\/b**(-17\/5)*b*b*b**(-14)*b**(-14) assuming b is positive.\nAnswer: b**(-761\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y = -8. Let r(u) = u**2 + 19*u + 90. Let s be r(-11). Solve -s - y = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.106 and 31?\nAnswer: -3.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ssvvsvsvvvsssvvv.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + 12411541?\nAnswer: 12412000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*r + 4. Suppose r = b - 0. Solve f + 0*f = b*h + 21, 29 = 5*f - h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Suppose -2 = u*m - 12, 0 = -z + 3*m + 1. Suppose 2*w - 2*n = -2*w + 24, -3*n + 52 = 5*w. Calculate the highest common factor of w and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3479821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -2 - (-4 + 17 + -14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -16. Calculate the remainder when u is divided by 273\/30 + 1\/(-2)*(-41)\/(-205).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15610 by -1396.\nAnswer: -7805\/698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 120487986380 less than 443?\nAnswer: -120487985937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 3*y + 22 = 0. Suppose -v = -2*v + 3. Solve -v*p - 40 = 5*o - 0*p, -y*p = -5*o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 10 = -2*x, -16 = 5*f + 4*x + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + -0.3. Let r(n) = n**2 + 14*n + 2. Let x be r(-14). Suppose 2*a = -x + 4. What is the nearest to q in 2\/11, a, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72725.47 millilitres in litres?\nAnswer: 72.72547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s + 35*s - 912 = -40*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100\/2871 - 26897\/195228. Let h = 5773 - 46259\/8. Calculate the common denominator of t and h.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(294) + -1*-1*sqrt(6))\/(sqrt(384)\/(2*sqrt(8)*-5)).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531672871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -47321644 at most -47321643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107808 a multiple of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3522939 divided by 3522939?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 16*m**2 - m + 16. Let h be i(16). Solve 2*p - 2*g - 8 = h, 4*g + 0*g = 5*p - 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9352449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 0.21, 270340, 1\/2 in decreasing order.\nAnswer: 270340, 1\/2, 0.21, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001361852 rounded to six dps?\nAnswer: -0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 4*w**2 + 8*w.\nAnswer: -4*w*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.5 - 3. Let o = -0.108 + -44.892. Let c = -48 - o. What is the nearest to 0 in 5, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 6:50 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -699*s + 210*s + 9*s**2 + 9*s**3 + 271*s + 218*s.\nAnswer: 9*s**3 + 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**3 - 2*b**2 - 9*b + 1. Let a(c) = 5*c**3 - 3*c**2 - 10*c + 1. Give 3*a(s) - 4*f(s).\nAnswer: -s**3 - s**2 + 6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -35*k**2 + 25*k + 11. Let j(y) = -7*y**2 + 5*y + 2. Let a(f) = -2*c(f) + 11*j(f). Let t(r) = 8*r**2 - 6*r. Determine 6*a(m) + 5*t(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*q - 28*q - 6*q**2 + (0*q - q + 2*q)*(-3 + 2*q + 3) + (-4*q**2 + 5*q**2 + 0*q**2)*(3 - 3 - 2) + 2*q - 2*q + 2*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 148235761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 12, 0.5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -581*s + 63. Let l(i) = 1744*i - 169. Give 8*g(c) + 3*l(c).\nAnswer: 584*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 5*b = 2700 - 2662, 3*b - 30 = -2*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 7*f = 35, 0 = -46*r + 26*r + 15*r + 2*f - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(12) + sqrt(12)) + sqrt(12) + (1*sqrt(144))\/sqrt(12) + sqrt(12))\/(sqrt(12)\/(sqrt(2) - ((sqrt(18) + sqrt(2))*1 - sqrt(2)))).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 5*f + 0*f + (-8*f - f + 3*f)*(1 + 2 - 4) + 2 - 2*f - 2.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13608471*a*l - 8*a + 6*l**2 + 23685854 wrt l.\nAnswer: 13608471*a + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -7*j**6\/360 + j**5\/60 + 4*j**2 + 4. Let m(o) be the second derivative of k(o). Determine h, given that m(h) = 0.\nAnswer: 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 2*z**2 + 26*z + 1. Let l be b(-7). Suppose 5*x + 65 - 265 = 0. What is the greatest common divisor of l and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2607348 * 4.\nAnswer: -10429392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 1129960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = y - 3*y + 78, -4*y - 76 = -6*y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.241 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2101010 (base 4) to base 2\nAnswer: -10010001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b7 (base 12) in base 5?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**4\/6 - 16*u**2. Suppose 5*a = 3*c + 19, 2*a = 4*c + 13 + 3. Let y(l) = 2 + l - a. Determine w(y(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/14 + 10\/35. Let g be (-1 - j)*(2 - 6). Solve -g*v - 10 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 - 259\/(-28). Let r = -15 + q. Let g(t) = t**2 + 5*t - 7. What is g(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 141*k - 276 wrt k.\nAnswer: 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2838415445, -2838415446, -2838415447, -2838415448?\n\"Answer: -v - 2838415444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/15168 and -31\/912.\nAnswer: 288192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**8\/84 + 2*c**7\/105 + c**6\/5 - 14*c**5\/15 + 11*c**4\/6 - 2*c**3 - 10*c**2. Suppose g(f) = 0. Calculate f.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 19. Let k(d) = 13*d**2 - 45*d - 5*d**2 - 17 + 13*d**2 - d**2 + 34*d + 29*d. Let p(c) = 7*c**2 + 6*c - 6. What is q*p(n) - 6*k(n)?\nAnswer: -n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 558, -4, 16, -317 in descending order.\nAnswer: 558, 16, -4, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfftrssstf. Give prob of sequence rs.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 286 or 287?\nAnswer: 286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57802484 + -939832.\nAnswer: -58742316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 702, 702, 700, 696, 690?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 10*m**2 - 2*m - 15. Let b be z(-10). Suppose 0 = w - 4 - 1, -w + 60 = b*g. Let s = 14 - g. Solve s*y = 2*u + 3*u + 6, 5*u = 5*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 p when three letters picked without replacement from nkkpahqpahakkkkqkahk.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 704 - 709. Let p = -1 + 4. Sort 0.1, g, p in descending order.\nAnswer: p, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0*c + 3*c**2 + 2*c - 7613*c**3 - 2*c**2.\nAnswer: -7613*c**3 + c**2 + 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 0.08, 0, -3, 1, -3.862?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*b = 2, -4*a + 3*a - 3*b + 13 = 0. Let q be 88\/(-154)*(-14)\/a. Put q, 0, -1 in descending order.\nAnswer: q, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5876470 - -101?\nAnswer: -5876368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112567, 112456, 112271, 112012, 111679, 111272?\nAnswer: 110791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13314 (base 5) in base 13?\nAnswer: -655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 1\/(-28)*-2*5829\/(-87).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -566, -1129, -1690, -2249, -2806?\n\"Answer: a**2 - 566*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3807 - 11394 = -3588*f + 13941 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t + 1125 + 6155 = 0. Which is greater: t or -184?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -30.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**6*(j\/((j**(1\/5)*j)\/j))\/j*(j\/(j*j\/j**(-3)*j)*j*j)\/(j*j\/j**(4\/3)) assuming j is positive.\nAnswer: j**(-133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86\/105 + -32\/35. Let a = -2.9 + 3. Suppose -r + 7 = 3*d + 1, -3*r = 3*d. What is the second smallest value in d, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132696570 + 0.1363?\nAnswer: 132696570.1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 1, -5, 3.\nAnswer: -5, 1, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from zqvqlzzlvqq?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 0)\/2 + 2. Suppose 5*o + l*v - 16 = 0, 5*v - 9 = 4*o - 2. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -1275, -4677, -11445, -22701, -39567?\nAnswer: -63165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1542.9990485 - -1543. Round q to 5 decimal places.\nAnswer: 0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-4)*27\/(-162). Sort 0.2, l, 3, 1 in descending order.\nAnswer: 3, 1, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.1 (c) -2\/2607 (d) -4 (e) 1\/10 (f) -0.4 (g) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5*(-16)\/(-280))\/((-2)\/28). Suppose 5*w - 1585 = 5*j, -3*w - v*j = -369 - 568. List the prime factors of w.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51.27596 years?\nAnswer: 615.31152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 1768935?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13*3\/9*(-35)\/(1155\/(-33))\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5 + (-2 - 3 + 4)*(4 - 5 + 0) + 0 + 4 - 2)*(y + 0 + 0).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1 (c) -5\/2 (d) 2\/9 (e) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3 + 61*r**3 - 41*r**3 - 1 - 3*r**2 + 2*r. Let w be v(2). What is the highest common divisor of 22 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 114 = 16. Let r = v - 128\/9. Which is the nearest to -0.03? (a) -3\/7 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -36*b**2 - 6*b. Let s(d) = -109*d**2 - 16*d. Let l(p) = -3*s(p) + 8*t(p). Let h(r) = 9*r. What is h(l(w))?\nAnswer: 351*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/6 + 38*k**2 - 2816*k + 201344\/3.\nAnswer: -(k - 88)**2*(k - 52)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 27*i + 0 + 24*i - 8. Let z be l(3). Suppose -y + 51 = -5*g, 0 = -5*y - 4*g + z + 52. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -0.2 (c) 2\/11 (d) 257 (e) 186.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -15210, -7, -1, 1 in ascending order.\nAnswer: -15210, -7, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2. Let f(t) = 2*t. Let h(v) = 2*v. Let z(g) = 5*f(g) - 10*h(g). Determine z(q(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 55, 83, 105, 121, 131, 135, 133?\n\"Answer: -3*k**2 + 37*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, f: 1, o: 4, l: 4}. What is prob of picking 1 f, 1 l, 1 o, and 1 y?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*u**2 - u + 933*u**3 - 928*u**3 + 20*u**2 + 0*u**2 as x*u**2 + l + q*u**3 + n*u and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -383.301468 plus 1068?\nAnswer: 684.698532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 8. Let n = -5.3 - -0.3. Which is the closest to 1? (a) x (b) 1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-4))\/((-1)\/6). Let c = -26 - -29. Let u be ((-7)\/3 - -1)*(-105)\/14. Solve -c*f = 2*g + 10, w*g + u = -2*g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 2. Let p be n(-2). Suppose 6*b - 48 = -p*b. What is the smallest common multiple of 72 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 4 (c) 1 (d) 3\/4 (e) 22.17 (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1\/1*(-26)\/572.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o + 13. Let g(a) = -a**2 - 7*a + 5. Let u be g(-8). Give b(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6992)\/(-6555) - (-7)\/(-5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3920748?\nAnswer: 2, 3, 13, 41, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 5*g**2 - 21*g + 10*g + 12*g in the form z*g**2 + y*g + f and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2. Let j(p) = p**3 + 7*p**2 + p + 6. Let a be j(-7). Let s(d) = 3*d**2. Calculate a*i(y) + s(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s + 12 = -q + 27*s - 56*s, 21 = -3*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 - 2*g + 1. Let o be m(1). Let t(u) = -3*u**3 - 93*u**2 + u + 31. Let s be t(-31). Sort o, s, 41.\nAnswer: s, o, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/36)\/(6\/(-9)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3545, -3, -3\/7, 0.1, 3, 1\/6?\nAnswer: -3545","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8289840 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 327 = 307 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Let r(f) = 6*f + 1. Calculate 3*k(l) - r(l).\nAnswer: -3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3) + 164\/6. Suppose 0 = -4*n, n + 2 = m + 2*n. Suppose m*l - x = -l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 10 = -5*n + 3*m, 0 = -4*m + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 131 + 7\/((-14)\/12). Suppose 39 = 2*y - i. What is the smallest common multiple of 14 and y?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 36.\nAnswer: 4*(o - 3)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 3*n**2 + 4*n + 5. Let d(b) = -b - 1. Let w(i) = -2*i - 2. Let h(t) = 2*d(t) - 2*w(t). Let j be h(-3). List the prime factors of y(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 69260*m. Let d(w) = -613*w. What is -680*d(q) - 6*h(q)?\nAnswer: 1280*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1566608 + 4?\nAnswer: 1566613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 13266.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2767, 2757, 2733, 2689, 2619, 2517?\n\"Answer: -a**3 - a**2 + 2769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 9*c - 1. Let y(x) = 10*x. Let p(g) = -5*h(g) - 4*y(g). Suppose 2*r + 193 = 181. Let v be p(r). What is v rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 12*n = 4*n - 7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*k + 146*k + 114*k - 355*k.\nAnswer: 84*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -349*r**3 + 6*r**2 - 3*r. Let q(p) = -3840*p**3 + 64*p**2 - 32*p. Let z(u) = -32*b(u) + 3*q(u). Let o(a) = -27*a**3. Give -40*o(c) + 3*z(c).\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*u - 97 + 25. Suppose 0 = -2*a + 3*o + 17, u = 2*o + 12. Let x = -153 - -607\/4. Are x and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 + 21*q**2 - 2*q - 5. Let u be o(6). Let s(l) = 10*l**3 + 3*l**2 + l - 2. Let c be s(3). Suppose 11*j - u = c. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/5)*r**0*(r*r**(-1\/3)*r)**(-2\/9) assuming r is positive.\nAnswer: r**(-23\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -34.2 times 0.14\nAnswer: -4.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198661?\nAnswer: 257, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 5) to base 6\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-j**2 + j**2 + 3*j**5) + 2*j**5 - 2 + 2 - 4*j**5 + 3*j**5 - 5*j**5.\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (7 + 11 + 2 + -5)) + 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-17)*i*i))**(-12\/13) assuming i is positive.\nAnswer: i**(-192\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/619 - -1777\/6190. Let f = 2723387\/96 - 28369. What is the common denominator of o and f?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13212, 58, 0.3, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2. Let p(l) = l**3 + 3*l**2 - 5*l - 4. Let s be p(-4). Let i(t) = t - t - t + s. Give a(i(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 8*m + 4. Let u(i) = i**3 + 9*i**2 - 2*i + 2. Let k = 17 + -26. Calculate the lowest common multiple of t(-8) and u(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 + 4*t - 4. Let l = 2 + 0. Suppose l*j - j = 3. Is z(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23003569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4970331637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795188189.\nAnswer: 795188189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 218.405 micrograms?\nAnswer: 0.000000218405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 - p**4 + 3*p**4 + (-2*p + 3*p + p)*(-1 + 2*p**3 + 1) + p**4 + 2*p**4 - p**4)*((-201*p + 248*p + 165*p)*(2 - 2 - 2) + 3*p + p + 0*p).\nAnswer: -2940*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3616132?\nAnswer: 2, 13, 197, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 18 = t, a + 3 + 0 = -4*t. Suppose -5*u + a*z - 2*z = -4047, 3*u = -3*z + 2433. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87.11968l?\nAnswer: 87119.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -193231 bigger than -193227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33528, -3, 12, -4, 0, -1.\nAnswer: -4, -3, -1, 0, 12, 33528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - (-54852)\/(-60) - 3\/(-15). Let i = x - -1821\/2. Solve -3\/2*b**4 - 3*b + 0 + 3*b**3 + i*b**2 = 0 for b.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -163\/4 + 41. Let l = 4.92 - -0.08. Which is the second smallest value? (a) p (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48036055, -48036057, -48036059, -48036061, -48036063?\nAnswer: -48036065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 29*b - 89. Let c be v(-21). Let z = -254 - c. Solve -z*g + 13 - 4 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.2. Let q = -17 - -12. Are l and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*a - 3*r - 4038, 5*a = -r + 5038. Does 63 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43.5 + -43.679. What is v rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9.95 and -1056791?\nAnswer: 1056781.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 7:46 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.8 times -8?\nAnswer: 78.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p + 11. Let h be j(6). What is the second derivative of 83*s - 50*s - h*s - 2*s**2 wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109659841 divided by 4783\nAnswer: 22927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9\/15*(-610)\/183\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2655 and 5760?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 21\/(-14))*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 11*f + 13. Let l be p(9). What is the remainder when ((-1)\/5 - 1)*l is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -97, 1\/25, 1\/8 in ascending order.\nAnswer: -97, 1\/25, 1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 28163.\nAnswer: 8448.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**4 - q**3 - q. Let h(s) = -39*s**4 - 2*s**3 - 22*s. Let p(d) = -h(d) + 2*v(d). Find the second derivative of p(l) wrt l.\nAnswer: 492*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -3, 94\/7, 0.3 in descending order.\nAnswer: 94\/7, 0.3, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.1 and 419293.\nAnswer: 419294.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*n - 645*n + 9554 = 0 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdj when three letters picked without replacement from {j: 4, c: 7, m: 1, f: 3, d: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/1 + (14 - 15). Suppose q = 11*m - 48 - 18. Let n(d) = d**3 - 5*d**2 - 5*d - 7. Give n(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + (0 - 2 - (-46 + 49))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1294\/(-357791))\/((-2)\/(-14))?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -143*a. Let k(l) = 3*l. Give x(k(i)).\nAnswer: -429*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 133384737 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -243? (a) -0.4 (b) 1\/4 (c) -3 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187050210 and 3195.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11602*x + 11605*x - 2*c - 2 = 0, -2*x = c - 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 509125, 1018278, 1527431, 2036584?\n\"Answer: 509153*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcqdcwwwlddwkdk. What is prob of picking 1 d and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 37 = -39. Let d = -34 + n. Let j be (-136)\/(-5) + d\/(-20). What is the highest common divisor of 297 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 102*p**2 - 1774*p - 3121. Give c(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i + 21*i - 45*i = -96 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -693*b**5 + 54*b**4 - 3208*b**3 + 8*b**2 + 105*b - 140928.\nAnswer: -41580*b**2 + 1296*b - 19248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n - 1. Let z(b) = -11*b - 2. Let l(t) = -5*w(t) + 4*z(t). Suppose -4*x - 5 = -9. Let m(r) = r + 1. Give x*m(u) + l(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.44 + -22.4. Let o = 0.04 - 0. Let w = o - f. What is the closest to -2\/7 in w, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 170\/564*(-17816)\/(-10). Let r = v + -537. Let n = -91\/423 - r. What is the closest to 0.1 in -3, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/7 + 20884*v\/7 + 10211760\/7 = 0 for v.\nAnswer: -468, 10910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54751160?\nAnswer: 2, 5, 19, 61, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 15*p**4\/4 + 13*p**3\/6 - 461*p**2 - 266*p - 8. Differentiate w(q) wrt q.\nAnswer: 90*q + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**2*p**2 + 3*g**2*p + 52*g**2 - 9*g + 6*p**2 - 2*p - 19 wrt g.\nAnswer: 8*p**2 + 6*p + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llhhhlh. Give prob of sequence lhhl.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102020 + 1331?\nAnswer: 110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19 (b) 4 (c) 24 (d) -2\/3 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 660 and 135.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -10, -25, -40, -55, -70?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4 + 4. Suppose 4 = -3*x + q*x. Solve 0*w**x - w**5 + 2 + 2*w**4 + 2*w**3 - 3*w**2 - w**2 - 3*w + 2*w = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -18*n**2 + n. Let g be d(1). Let j = 21 + g. Find the third derivative of -6*s**j + 0*s**4 - 7*s**4 - 6*s**2 + 8*s**4 wrt s.\nAnswer: -120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 27*r**2 - r + 17. Let p be i(4). Let c = p + 142. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 47*k + 47*k. Let v be x(2). Suppose v*r = 17 + 111. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*m - 116. Let w = -131 + m. Round w to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**3 + 2*z**2 + 466*z + 1326 = 0.\nAnswer: -13, -3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3255 at least -492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-1260)*954\/53)\/(-29)?\nAnswer: 2\/203","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*j - 4*y + 921, 5*j + 2*y - 923 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6164 - 3525. Suppose 0 = 3*i + 3*u - 10692, 4*i - 2*u - w - 11611 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 - 35 - 17 - ((-13 - -9) + -67)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29676, -118409, -266302, -473361, -739592?\n\"Answer: -g**3 - 29574*g**2 - 4*g - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 + 3*p + 3. Let w = 21434 - 21436. Let f(o) = -o**2 + 5*o - 3. Let j be f(3). Let r(n) = -2*n**3 + 2*n + 2. Give j*r(d) + w*m(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*f - 13712 + 4668. List the prime factors of f.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-270))\/((-2)\/9)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15387 or 723197\/47?\nAnswer: 723197\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:39 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3529*d**2 - 1729*d**2 + 4 - 3 - 1 - 1800*d**2 + 16*d**3.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**5 + 860*b**4 - 26365*b**3 - 6050*b**2 + 189960*b - 158400 = 0.\nAnswer: -3, 1, 2, 40, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 16*s**3 + 15*s**2 - 5*s + 5. Let g(m) = 17*m**3 + 16*m**2 - 6*m + 6. Let h(y) = 5*g(y) - 6*r(y). What is the third derivative of h(q) wrt q?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*((-32)\/20)\/((-6)\/15). Let d(u) = -25*u + 1. Is d(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2096 and 81220.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.2. Let g = -0.1 - -0.1. Which is greater: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -11. Suppose -26 = v - 5*h, 50*h = 3*v + 52*h - 7. Put -2, 8, v, l in ascending order.\nAnswer: -2, v, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3130 <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -2\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + (3 - -3) - (3 + 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 760 and 1372160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2))**(-1\/30)*(z\/(z**(-8\/11)\/z))\/z**(13\/4) assuming z is positive.\nAnswer: z**(-301\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*l = -2140, -g = -l - 1652 - 494. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -782, -397, -12, 373, 758?\n\"Answer: 385*x - 1167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 4838, 0 in increasing order.\nAnswer: -1\/3, 0, 4838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1799, 1809, 1833, 1877, 1947?\n\"Answer: c**3 + c**2 + 1797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 198 + -186. Suppose -b*t - t + 130 = 0. What is the highest common factor of t and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47603666 and 45408.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 1 - -1 - 5. Suppose 20 = -3*g - 9*k + 5*k, -5*g = 4*k + 20. Which is the smallest value? (a) q (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**6\/180 - 7*s**4\/72 + s**3\/6 - 8*s + 105. Let g(n) be the first derivative of m(n). What is o in g(o) = 0?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3 + 5*m - 2*m - m**2 + 3*m - 9*m. Let q be r(-3). Let y be ((-22)\/(-4) - 4)*(-10)\/q. Solve 0 = -y*x - 4 + 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81\/(-18) - -3)\/((-27)\/2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 8:30 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m + 1355 + 436. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.7 + -17. Which is the closest to 0? (a) 1 (b) -1\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241430417?\nAnswer: 241430417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, 15, 39, 65?\n\"Answer: z**2 + 19*z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1078 + 1078 + 106*m**3)*(3 + 20 + 20).\nAnswer: 4558*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*v + 26*v**2 + 66*v - 124*v + 4 - 5.\nAnswer: 26*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5 - 17. Let y be (8\/(-6) + 1)*i. Differentiate 2*s**3 + 2 + y*s**3 - 3*s**3 wrt s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -5 (c) 0 (d) 23\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 6*s + 5. Give n(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139017?\nAnswer: 11, 17, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-15))\/(((-65)\/(-60))\/(-13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-451) - 5169\/(-70643).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxgb when four letters picked without replacement from {g: 2, x: 4, a: 1, b: 1, i: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 155\/931 - 3\/49. Let n = -15.9 - -16. What is the third smallest value in c, n, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82307 - 63619 = -3*r + 34647. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 17*y**2 + 14*y - 44. Determine k(-16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 211315 at least as big as 214410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6)*x\/(x\/(x**(-7)*x)))\/((x*x**5\/x)\/x**(-2\/7)))\/((x**0)**(-1\/13)\/(x**(-2)*x**(-2\/9)*x)) assuming x is positive.\nAnswer: x**(-1166\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/30 - 564\/(-705)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b46b (base 12) to base 14.\nAnswer: 440cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 38. Let a = j + -12. Sort a, 1\/6, 5.\nAnswer: 1\/6, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -4 + -1 + (0 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10829.\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -26. Suppose -p + 11 + 8 = 2*s, -4*p - 4*s = -68. Let m = f - p. Solve 1 = -v - m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-654)\/(-763)*56\/(-12))\/((-282)\/(6\/2))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**2 - 7*c**2 - 5*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -51577, -412611, -1392545, -3300829, -6446913, -11140247?\n\"Answer: -51575*t**3 - 9*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + ((sqrt(475) + 1)*-4 - sqrt(475)) - ((1 + sqrt(475))*1 - sqrt(475) - sqrt(475))) + 2)**2.\nAnswer: 90*sqrt(19) + 4284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -235 - -343 - (175 + 0)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17508, 34988, 52452, 69894, 87308?\nAnswer: 104688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472917579.\nAnswer: 3, 73, 439, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118690 is divided by 189.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(18\/(-29)))\/(-35*(-28)\/(-5880)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -355892 at least -355891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-3)\/9*(-6174)\/(-147)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b. Let v(g) be the third derivative of 13*g**5\/60 + 11*g**2. Calculate c(v(i)).\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7425148 to the nearest integer?\nAnswer: 2725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 23 + 64*p + 44 - 32 - 84*p.\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -r - 3*r - 66, -r - 6 = -3*m. Let a = r + 19. Solve -22 = j + a*j - 2*k, -k = 5*j + 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 3. Let g be f(8). Suppose -g*a + 2*a + 15 = 0. Solve -4*b = -a*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82431 is divided by 13501?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -11*j**3 + 2*j**2 + j. Let v be d(-1). Let u(p) = -2*p - 10. Let c be u(-6). Suppose -c*l - v = l. Which is bigger: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 6 + 8 + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -982 - -975 - (-709)\/101.\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 0.11, -1\/3, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -6, 140, 344, 606, 926, 1304?\nAnswer: 1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 492 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39204 and 12837132.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4196157724 to the nearest integer?\nAnswer: 64778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21013?\nAnswer: 21013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 9*p - 204. Calculate n(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35785\/18 + 1993. Calculate the common denominator of f and 85\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4989364 is divided by 1662895?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = -39*f + 306 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 435009.27205?\nAnswer: 435007.27205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 28, 35?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 4:27 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 599 (b) -0.1 (c) -2\/7 (d) -1768\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 500101 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - m**4 + 0 + (0*m - 2*m + 5*m)*(0*m**3 - m**3 + 2*m**3).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1602374356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.1 (b) -4 (c) 2\/3 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35.1 + -35. Let o = 5.4 + 0.6. Let n = -11 + o. What is the nearest to t in -3, n, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1445*f**2 + 1445*f**2 + 80*f**3 - 79*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -163eee (base 16) to base 9\nAnswer: -2661771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*((y\/(y\/((y*(y**(-1\/11)*y)\/y)\/y))*y)\/y)\/y*y*y\/y**(-1\/6))\/(y*y*y**(2\/9))**(-5))\/((y\/(y**(1\/4)\/y*y))**31*y**6*y**(-5)\/y) assuming y is positive.\nAnswer: y**(-3985\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 1 - (1 - 9). Suppose y = -y - t. Let i = 71\/231 - -2\/77. What is the second smallest value in 1, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**7)**(-42) assuming y is positive.\nAnswer: y**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -3 (c) 8\/7 (d) -6.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -9*r**3 + 5*r**2 - 7*r. Let y(x) = -x**2 + x. Let q(a) = 5*m(a) + 35*y(a). Factor q(f).\nAnswer: -5*f**2*(9*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c - 278. Let u be v(31). Let z(x) = -26 + 26 + x. Let n(p) = -3*p**2 + p. What is u*z(t) - n(t)?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 21*o - 3. Let s be h(1). Solve s = 5*r + r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 24*h - 28*h - 13205 = 0, 3*h = 4*o - 17595. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/6 + 32*n**3\/3 + 68*n**2 - 3*n + 109. Determine b so that m(b) = 0.\nAnswer: -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (39 - (-111175)\/(-2850))*2*41 and 151\/1116?\nAnswer: 21204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*t**2 + 87*t**2 + 26*t - 8*t to m*t**2 + a*t + c and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*f + 15*f + 2691 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 45 = -13*r. Let z(l) = 0*l**2 - 2*l - 3*l - l**2 + 2 + 2*l**2. What is z(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -326184 from 10.1.\nAnswer: 326194.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104511799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(132)\/sqrt(3))\/sqrt(4))**2*5 - (6*(sqrt(99) + 0) + (sqrt(99) - sqrt(99)*2) + 2).\nAnswer: -15*sqrt(11) + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.847 (b) -9 (c) -19 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4988200 to the nearest ten thousand.\nAnswer: 4990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -3813.\nAnswer: 381.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1572 to the nearest ten.\nAnswer: -1570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/11815 and -2\/3995?\nAnswer: 555305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**4\/3 + 5*m**3\/3 - 10*m**2\/3 = 0. Calculate m.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 260950 + -13217. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - -4) + -9 + 1. Suppose -12 = -4*b, 3*t + 21 + 33 = -b. Let s = m - t. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -8\/7 (c) -2\/17 (d) 3\/2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -1\/6*j**4 + 18*j**2 + 0*j + 0 + 1\/30*j**5 + 1\/3*j**3. Solve w(y) = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 24 = 3*h, -27*h - 12 = o - 23*h. Let w(n) = n**3 - 5*n**2 - n - 6. Calculate the lowest common multiple of w(6) and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-3) + (-1680)\/504\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 5*h**2 + 6*h + 3. Let c be n(6). Suppose 769 = c*v + v - 5*f, 5*f = -5. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12150 - -12145. Let d(v) be the first derivative of -5*v**2 - 42*v - 1. What is the lowest common multiple of 42 and d(r)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114 times -2041\nAnswer: -232674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 12.4. Let v be 12\/255*15\/6. Put h, -5, v in ascending order.\nAnswer: -5, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*z - 192*z + 117*z - 558 = 0. Suppose 0 = -0*w + 5*w - 1520. Calculate the remainder when w is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 40*x + 14. Let i(h) = -2*h - 2. Let g(a) = -7*i(a) - p(a). Factor g(j).\nAnswer: j*(j + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - a + 12 - 3, 2*o - 5*a = -21. Let b be -1 - (o - -1) - -47. Let x = b + -33. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 26525822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g**2 + 10*g + 32. Let s(i) be the second derivative of -i**4\/6 - i**3\/2 - 11*i**2\/2 - 2*i. Let c(u) = -8*s(u) - 3*y(u). Give c(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 + 91119*x - 182247*x - 10*x**2 + 91125*x + 2. Let w(j) = -8*j**2 - 4*j + 3. Calculate 6*d(f) - 5*w(f).\nAnswer: -2*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1035 divided by -15\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 103189900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 771960 and 984.\nAnswer: 31650360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12)\/((-76)\/(-342)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.073*116.972\nAnswer: 8.538956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1.89. Let k = 3.29 - v. Let i = 3.296 - k. What is i rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 9:46 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 630 divide 1651860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 165. Let o(r) = r**2 + 28*r. Let s(v) = 2*v**2 + 12*v. Let q(f) = -3*o(f) + 7*s(f). Calculate y(q(n)).\nAnswer: -121*n**4 - 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 25 = -16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 713?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w - 43. Give v(30).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19789696 and 698.\nAnswer: 19789696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1118*b**4 + 160*b**2 - 1119*b**4 - 186*b + 46*b**3 + 3353*b**4 + 58*b - 1113*b**4.\nAnswer: b*(b + 8)**2*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.647 + 0.646659. Round m to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.92 + -0.08. Let w = -68 - -80. Which is the second biggest value? (a) w (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-2 - 15\/(-6)). Suppose 12*p - 11*p - 5 = s. Solve f = -p - 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 454 (base 13) to base 14\nAnswer: 3b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*l**2 - 3*l + 3*l)*(-l + 2*l - 3*l)*(5 - 3 - 4) in the form z*l**3 + w + o*l**2 + k*l and give z.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -604194908 divided by 15899866?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 275 - 176. Let h = -59 + z. Is (-1)\/(76\/h - 2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070 a factor of 16104600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 209261 or 209262?\nAnswer: 209262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.189072 years?\nAnswer: 0.03189072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*w + 9*w + 37*w - 10*w.\nAnswer: 180*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o. Let t(m) = -113*m - 2. Determine -2*h(j) - t(j).\nAnswer: 119*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 9391*v**9\/504 + v**5\/30 - 577*v**3\/2 + 2*v**2 - 5195. Find the third derivative of h(z) wrt z.\nAnswer: 1126920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**3 + 180*d**2 - 17*d - 1036. Calculate p(-60).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -18. Let s = m - 3. Solve 2*l = -s*w - 4 + 8, 0 = -5*l + 2*w - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-117)*27\/42\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1554*b - 260 = -1574*b. Let v(g) be the third derivative of b*g**2 + 0 + 0*g - 1\/24*g**4 + 0*g**3. Let y(k) = 3*k**2. Calculate y(v(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -351*c**8\/56 - c**6\/15 - 3*c**4\/2 - c**3\/3 - 201*c. What is the third derivative of o(u) wrt u?\nAnswer: -42120*u**3 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 20*s - 1. Let q(z) = -z. Suppose -4*y - 4 + 8 = 0. Let d(p) = y*a(p) + 5*q(p). List the prime factors of d(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5628, -5626, -5624, -5622?\n\"Answer: 2*u - 5630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2923 is divided by (-6)\/(-4)*(2 + (-166)\/(-3))?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 8:46 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 3*x - 2*x)*(8 + 4*x**4 - 8).\nAnswer: -16*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -20*f**3 - 11*f**2 - 11. Let t(y) be the third derivative of 7*y**6\/120 + y**5\/15 + 2*y**3\/3 + 8*y**2. What is -4*k(g) - 11*t(g)?\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1056 or 1059?\nAnswer: 1059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1918 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.238*15\nAnswer: -3.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 517731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6399 and -0.3.\nAnswer: -1919.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + b - 1. Let d be x(1). Let p(q) = 12*q**3 + d*q**2 - 2*q**2 + 2*q - 1. What is the tens digit of p(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8913697823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 66.2 times 0.182\nAnswer: 12.0484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190082820 divided by 45204.\nAnswer: -4205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.96502 - 115709.34\nAnswer: -115708.37498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-3) + 10087 + 6.\nAnswer: 23, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.9 - 4.9. Are -2 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467 = 142*n - 785 - 26 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/3, 2, -124, 10, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010111 + -1121112?\nAnswer: -2202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -117685382 divided by 1590343?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5708173067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 52458?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c + 0*c - 4*c + (4 - 1 - 4)*(-2 + 1 + 4)*(c + 3*c - 3*c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 - 2*c + 1. Let n(y) = 5*y**2 + 6*y - 3. Let w(j) = -8*d(j) - 3*n(j). Let a be w(1). Let f be 808\/1480 + (-3)\/5. Which is bigger: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 659791210 divided by 1952045.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133838531 to the power of 1\/3, to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8821287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2253506 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 232768425 to the power of 1\/4, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -53\/19201524?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(500) - (sqrt(500) + 0 + sqrt(500) + sqrt(500))) + 3 + 3 + 1 + sqrt(500)))**2*1.\nAnswer: -140*sqrt(5) + 549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3516, -37505 in decreasing order.\nAnswer: 1, -3516, -37505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50639, 50645, 50653, 50663, 50675?\nAnswer: 50689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -1, 1\/6, 1\/63, 11\/4307.\nAnswer: -1, 11\/4307, 1\/63, 1\/6, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 7239028600 to the nearest one million.\nAnswer: 7239000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + w**2 + w)*(-3 + 1 + 1)*(-4*w - 2*w - 2*w) to the form y*w**2 + f + z*w + m*w**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -255, -281, -323, -381, -455?\n\"Answer: -8*r**2 - 2*r - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3850.0965ns to hours.\nAnswer: 0.00000000106947125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -4. Suppose 2*x + 20 = l*x. Suppose -2*f + 84 = x*y, -2*y + 2*f - 6 = -48. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146071893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 145*t**5 + 1214*t + 552*t**3 + 26*t**5 - 167*t**5 wrt t?\nAnswer: 80*t**3 + 3312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhhhjhajjhjj. Give prob of picking 1 a and 1 q.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 225*o**2 + 240*o + 81. Let c(i) = -14*i**2 - 15*i - 5. Let z(n) = 33*c(n) + 2*g(n). Factor z(t).\nAnswer: -3*(t + 1)*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 9\/22 (c) -2\/17 (d) 0.2 (e) -57 (f) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -13406436.\nAnswer: 1\/3351609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -l - 0*k - 5*k, 5*k = 2*l - 31. Suppose -416 = -4*s + l. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.21012 to one decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express k - 4*k + 2*k + (-6 - 2 - 9)*(-1 - 1 - 6*k + 5*k) as n*k + t and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0*q - 6. Is (-1)\/(q - -1)*183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7973 + 7975. Let t(b) be the first derivative of b**2\/2 - 2*b - 2. Let p be t(6). Solve n - 3*d + l = 2*n, 0 = -4*n - p*d + 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (6 + -7)) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955146341.\nAnswer: 349, 353, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*q**4*v**3 - 44*q**2*v**3 + v**3 wrt q.\nAnswer: -960*q*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 2*y - 7, -71*z + 8 = y - 67*z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7091355 is divided by 3661?\nAnswer: 3659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -8 + 9 + 6 + -16 + 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1392886 and 29\/3482215?\nAnswer: 6964430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 11:19 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**3*k + 3617*g**3 - 202*g*k**2 wrt k.\nAnswer: 2*g**3 - 404*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -936068 + 936068 - 10*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9474933863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/(-187) + 1\/((-51)\/249). Let r(a) = a**3 + 7*a**2 + 7*a - 9. Is 3 a factor of r(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -237\/10 - -751\/30. Put -4, -2\/5, 4, n in decreasing order.\nAnswer: 4, n, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5325, 5373, 5469, 5625, 5853, 6165, 6573, 7089?\nAnswer: 7725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (60\/(-150))\/(0 - 2). Which is the nearest to 2\/3? (a) -4\/5 (b) -8 (c) g (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u**(-3\/8)*u)\/u)*u*u**5\/u*(u*u\/u**(2\/5))**(-3\/14) assuming u is positive.\nAnswer: u**(1689\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 + 40. Let w(r) = 2*r**2 + 2*r + 1. Let g(t) = 5*t**2 + 17*t + 13. Let d(p) = -g(p) + 2*w(p). Calculate d(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1424, -3007, -4600, -6209, -7840, -9499, -11192, -12925?\nAnswer: -14704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 41 (b) 4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 20 = -r. Let c = r - 4. Suppose 4*s - 5*y - 45 = -c*s, -3*y + 54 = 3*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39.1413 - -0.12.\nAnswer: -39.0213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5.3, -0.3, 0.04, -2\/3 in ascending order.\nAnswer: -5.3, -2\/3, -0.5, -0.3, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 6*n + h - 2840, -3*n = -5*h - 1704. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1. Let u(a) = a + 7. Let w(v) = -5*h(v) + u(v). Let c be (7 - 3) + 18\/(-3). What is w(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r. Let g(a) = 58*a - 13 - 102*a + 13 - 16*a. Determine v(g(u)).\nAnswer: -420*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 3}. Give prob of picking 2 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 10*o - o + 2*o + 11*o**2 + 2 - o**3. Suppose -5*x - c + 80 = 4*c, -44 = -5*x + 4*c. Determine y(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**5\/10 + 7*k**4\/8 + 5*k**3\/2 + 9*k**2\/4 - 408. Factor u(c).\nAnswer: c*(c + 1)*(c + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 19*y**2 + 6*y - 19. Calculate the lowest common multiple of u(-10) and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/6, 0.5, -5, 0.4, 25.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/660 and -37\/20.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5026708 less than or equal to -5026709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from {k: 6, h: 5, l: 6, c: 1}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120142*t - 120047*t - 2090 = 0 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 57304?\nAnswer: -57302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686 - 679 + 3*n + 2708 - 672 - 671.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*d + 5*d**3 - 7*d**2 + 7*d**2 - 73*d to the form y*d**3 + q*d**2 + z*d + m and give z.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 12, -5*u + u - 29 = 3*m. Let x = m + 15. Solve 2*p - l - 1 = -0*p, 3*p - 3*l = x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 2*k + 6. List the prime factors of q(14).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 97 (c) -2\/19 (d) 2\/39 (e) 5 (f) 2.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 10. Give q(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37746701 rounded to two dps?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(32) + 2*sqrt(1152) - sqrt(32))\/(sqrt(16)\/(3*sqrt(4))))**2 + -5).\nAnswer: -10363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 46, 101, 176, 271, 386, 521?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*x + 4*m = 47*x + 32, -3*x = -4*m + 32. Solve x = s - 2*y + 22 - 12, -1 = -2*s - 3*y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1556, 1564, 1572?\n\"Answer: 8*n + 1548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 + 179. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 5*r - 25. Let f(l) = -l**2 - 2*l - 12. Suppose 5*d - 6 = -2*m, 5*d + 105 = 115. Determine m*n(j) + 5*f(j).\nAnswer: -3*j**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 + 154697*j**3 - 7977157065*j**2 + 137124670482475*j - 274217433574250.\nAnswer: -(j - 51565)**3*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 6*h**4\/7 - 1475*h**3\/7 + 68545*h**2\/7 + 81490*h\/7 + 23424\/7 = 0.\nAnswer: -2\/3, -1\/2, 64, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5677, -11359, -17041, -22723, -28405?\nAnswer: -34087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*h - 7*q + 2*q, -16 = -3*h + 4*q. What is the remainder when 27 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303822531 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -18. Let x = n + 2. Let i be (-2)\/x + (-4)\/(-14). Solve i = 2*t - z - 4, 0*t - 4*t - z = -2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 235, 751, 1753, 3403, 5863?\nAnswer: 9295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) - (5*sqrt(180)*-2 + sqrt(180)))\/sqrt(5))\/(sqrt(36)\/sqrt(3)*-1*2))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 8*v + 4. Calculate r(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -10 + 1 + (6 - 4) - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-164)\/615)\/(8\/(-6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - 11. Let l(y) = y**2 + 15*y - 34. Let s be l(-17). Suppose -i = 2*q + 24, s*q - 106 = 5*i + 3*q. Which is smaller: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4270 and 74370590?\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-140) - ((4 - 3) + -2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.05 - -0.05. Let g = -1 + 2. Let c be (((-4)\/(-10))\/(-2))\/g. What is the nearest to -2\/7 in p, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 - 2*z - 5. Is u(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41227559*t**4 + t**2 - 75310820*t.\nAnswer: 494730708*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192756?\nAnswer: 2, 3, 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -95, -154, -207, -254?\n\"Answer: 3*p**2 - 68*p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47825 by -47825.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 8831.033?\nAnswer: -8830.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/5*q**3 - 201\/5*q - 153\/5 - 47\/5*q**2 = 0.\nAnswer: -3, -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 632532.7 microseconds to milliseconds.\nAnswer: 632.5327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 11:03 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i. Let u(h) = -h. Determine c(s) + 4*u(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lcizsaa. What is prob of sequence sic?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 36.96245m?\nAnswer: 36962450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 625429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c. Let d(n) = -n**2 + 5*n + 4. Let r be d(6). Let y be o(r). Suppose 2*z + 7*q + 10 = 4*q, -5*z = -3*q - 17. Sort z, y, 0 in increasing order.\nAnswer: 0, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3950.800009006 - -3950.8. Round x to seven dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, t: 4, i: 9}. What is prob of picking 1 i, 1 t, and 1 d?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 31023?\nAnswer: 341253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9.9 (b) 33 (c) -2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13\/(-26))\/((-1)\/(-14)). Let r = 12 + p. Let f(z) = z**3 - 5*z**2 - z + 5. Give f(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4117922120 and 7928.\nAnswer: 7928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -219, -870, -2193, -4422, -7791, -12534?\nAnswer: -18885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2442)\/(-999))\/(11\/14)\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -2)**2 - (1*-2*sqrt(19))**2.\nAnswer: -16*sqrt(19) + 232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 0)*6 + sqrt(1872) - ((-5 + (sqrt(1872) + -1 - sqrt(1872)))**2 + sqrt(1872) - sqrt(1872)).\nAnswer: -36 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 11837135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 + 16852*b - 33703\/2.\nAnswer: -(b - 33703)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -4, 0.045, -2\/7?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1817 and -5622006.\nAnswer: -5620189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 588 and 84084?\nAnswer: 84084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8695792.\nAnswer: 2, 7, 77641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4762.836 minutes in nanoseconds?\nAnswer: 285770160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -384*d**5 + 14*d**3*z**2 + 77*d**2*z**2 - 19 wrt d.\nAnswer: -23040*d**2 + 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 3 - -5)*1. What is the derivative of -3 + 11 + v*h**2 + 6*h**2 wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.7 - 8. Let l = -0.6 + -4.4. What is the second smallest value in w, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.062 + -0.129. Let q = -2.967 - k. Let z = q - -2.9. Which is the smallest value? (a) 1 (b) 0.06 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -690?\nAnswer: 68c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**4\/12 - h**3\/3 + 2*h**2. Let d be u(2). What is the second derivative of -3 + 2*x**d + 4 - 1 - 2*x wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -403 - -415. Solve 0*m - v = 4*m - 3*q, -m - 3*q = 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/7 + 2752*c\/7 + 8220\/7.\nAnswer: 4*(c + 3)*(c + 685)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 33*h - 280.\nAnswer: (h - 7)*(h + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002280795 to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5857*q + 5855*q + 14 = -3*b + 2, -3*q + 3*b + 12 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z + 29. Suppose 2*g + 21 + 22 = 3*d, -5*g + 5*d - 105 = 0. Is y(g) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, s: 1, b: 3, e: 3, j: 1, r: 2}. Give prob of sequence er.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) -0.2 (c) -0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 98835, 197707, 296579, 395451, 494323, 593195?\n\"Answer: 98872*y - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**2 + 50*c - 125 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -108660 rounded to the nearest one thousand?\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*c - 170 = -193 + 514 + 749 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/433 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.931 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161 and 1020119?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1095 and 31141070?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3720 - 122780*b - 3720.\nAnswer: -122780*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -781+3\nAnswer: -778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4533 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/(-2))\/(-7 + 16). Let d = u + 5\/3. What is the closest to 1 in 0.1, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/10)\/(o**(-25)*o))**(-15) assuming o is positive.\nAnswer: o**(-723\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - a - 3*a)*(8 + 6 - 4).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329, -326, -311, -278, -221?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -124. Is t a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-159)\/(-12))\/(-2*6\/96). Which is greater: l or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvvvvvyvvvvvv. What is prob of sequence vvvy?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20907*l**2*r + l*r - 13*l - 82 wrt l.\nAnswer: 41814*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*-6*(-6)\/(-60)*26130\/(-1404)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 3:43 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -12.26, -5, 3, -1\/5?\nAnswer: -12.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16650 divided by -150.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 12:29 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - 2*(sqrt(3) + 0) - sqrt(18)\/sqrt(54).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -1045312?\nAnswer: 1045322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, n: 2, a: 8, r: 3}. What is prob of sequence urn?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 times 0.4?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -4\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from yhhyhycchh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-20)\/1050*(-1316)\/(-47).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -27. Solve -q + r = 2*r + m, r + 24 = -4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, 562563, 0.3, -0.023?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -836, -4763, -4 in increasing order.\nAnswer: -4763, -836, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 2*a**2 - 3*a**2)*(4*a**2 - 6*a**2 + 3*a**2)*(-261*a - 4605 + 4605).\nAnswer: -261*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(176)*3 + (sqrt(176)*-2)**2).\nAnswer: -3520 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 951 + -185554392.\nAnswer: -185553441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39079 and -970.7.\nAnswer: -37933985.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/3 + 35577946*d**4\/9 - 52741360869866*d**3\/9 + 298866818194750*d**2\/9 - 123062669365952*d\/3 - 17580386420552 = 0?\nAnswer: -1\/3, 3, 2964826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11\/((-44)\/(-156)))\/(3\/2). Suppose -44 = z*v - 25*v. Let x = 46 - v. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/406 and -117\/263732.\nAnswer: 7648228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28003 and 26637?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-102)\/(-72))\/(58\/348)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 13*k**2 - 40*k + 2. Let b be w(-5). Solve 0 = -x - 0*x - b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229.26 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 6.4. Let q = -0.7 + m. Let n = 13 - 6. Is n > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 15 = -31*r + 32*r, 0 = 3*r - 4*h - 60. Let t be (-3)\/(-9) + (-62)\/(-3). Let c = r - t. Solve -c*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/12)\/y*y\/(y*y*y*y**(1\/15))*y assuming y is positive.\nAnswer: y**(-43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 3, 4, 1 in increasing order.\nAnswer: -4, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -2\/7, 2, 2\/11, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 2466138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 944367 divided by 2?\nAnswer: 944367\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 5 - 2)*(-24*t - 22*t - 19*t) + t - 2*t + 0*t)*(t - 6*t**2 + 9*t**2 - 4*t**2) as x*t + s + n*t**2 + z*t**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6108 + -29?\nAnswer: -6135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6141592*c**3 - 6374940*c**2?\nAnswer: 36849552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-102))\/((4\/21)\/((-714)\/147))\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45 - (162 + -37)) + (4 + -1 - 26).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3392*l*u**2 - l*u - 31322*l + 3*u**2 + 2*u wrt u?\nAnswer: 6784*l*u - l + 6*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*g**2 - 4*g**3 - 2 - 647977*g + 647975*g + 2*g**3 + (-2*g**2 + 3*g**2 - 2*g**2)*(2*g + 4 - 4).\nAnswer: -4*g**3 - 16*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s. Let m(z) = 2*z**2 - 191740*z. Calculate m(w(j)).\nAnswer: 8*j**2 + 383480*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21 + -1.21. Which is the third biggest value? (a) -4\/3 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**8\/420 - o**5\/120 + o**3\/3 + o. Let q(c) be the second derivative of i(c). Find the second derivative of q(z) wrt z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 + 8*t**3\/3 + 7*t**2\/3.\nAnswer: t**2*(t + 1)*(t + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 2*i + 23, -f = -4*f - 4*i - 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/(-36) - 11682\/(-8). Suppose -3*j - c - 50 = -f, 5*j - 2357 = -3*c. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - j + (0*j + 3*j - 2*j)*(2 + 1 - 4) + 6*j - 3*j - 4*j)*(2 - 2 + j**3).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.184 + 0.016. Let u = -1.1 - -0.87. Let t = u - 0.07. Sort -5, j, t in ascending order.\nAnswer: -5, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12690 = 96*r + 13458 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbkb when four letters picked without replacement from {o: 1, k: 5, h: 1, i: 4, b: 5}?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/433083 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.57545 litres in millilitres?\nAnswer: 42575.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.73697 and -5?\nAnswer: 3.68485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 12. Let p be y(9). Suppose p*i - 3 - 9 = 0. Let -6\/7*r**i + 6\/7*r**3 + 0*r + 0 + 2\/7*r**5 - 2\/7*r**2 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*g + 0 + g**2 = 0. Calculate g.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 136, 7130, -2\/15, 0, 3\/4 in increasing order.\nAnswer: -2\/15, 0, 3\/4, 3, 136, 7130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -372 + 552. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.9346547 to 3 dps.\nAnswer: 10.935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 745*p**3 - 269*p**3 - 27*p - 345*p**3 + 27*p.\nAnswer: 131*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j. Let k(n) = n**3 + n**2 + n + 17. Let z be k(j). Let t = z - -2. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -351, 5\/4, 1\/51, -3 in decreasing order.\nAnswer: 5\/4, 1\/51, -3, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 622862031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53*a*b**2*j + 431*a*b*j + 3671*a*j**2 - 2*a*j - 101*a + 4*b**2*j**2 wrt b.\nAnswer: 106*a*b*j + 431*a*j + 8*b*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + (33 + -20 - 7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6782\/5 + 1342. Let k = d + 14. Which is the third biggest value? (a) 3 (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-18))\/(p*p**13) assuming p is positive.\nAnswer: p**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 15*l + 12363 = 12258 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 136909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:01 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2\/4 + 57518681*g - 3308398663979761 = 0 for g.\nAnswer: 115037362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/6)\/((-2)\/12). Let d be ((-18)\/(-5))\/((-2)\/5). Let j = -11 - d. Sort q, j, -5.\nAnswer: -5, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/20)\/(9\/15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 250*c**2 - 490*c**2 - 3 - 2*c - 8*c**3 + 242*c**2 as i*c**2 + s + t*c + g*c**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35493.47 centuries in years?\nAnswer: 3549347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2 + -6.8. Let h be 210\/(-126)*((-24)\/(-15))\/(-4). What is the fourth biggest value in 5, -0.3, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -447 + 451. Suppose -4\/3*s + 6*s**x + 0 - 4\/3*s**3 + 8\/3*s**5 - 6*s**2 = 0. What is s?\nAnswer: -2, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37453351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5*w + 43 + 47, -3*w - 94 = 2*y. Let n = -31 - y. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -44008, -88015, -132020, -176023, -220024, -264023, -308020?\n\"Answer: o**2 - 44010*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 2:40 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 751 = -745. Let y(i) = i**3 + i**2 - 1. Let o(g) = -4*g**3 - g**2 + 3. Determine a*o(s) + 2*y(s).\nAnswer: -2*s**3 + s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4*(41 - 3). Suppose 2*n - 3 = n, -u + 4*n - z = 0. Let r = u - -31. Calculate the remainder when r is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -140 + 348. What is the greatest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**20*r*r))\/(r**11\/r))\/((r\/r**(-1\/3)*r)\/(r**(-24)*r*r)) assuming r is positive.\nAnswer: r**(-169\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 e when three letters picked without replacement from jseej.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -106*z + 20. Does 39 divide q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 37*n**2 + 19*n + 5. Determine y(18).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8 + -370.8.\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a century in months?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/80)\/(-6*(-6)\/90)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1 + sqrt(684) - sqrt(684)) + sqrt(684) - (sqrt(57)\/sqrt(3)*-2 + (sqrt(152)*-1)\/sqrt(8)))**2*1.\nAnswer: -18*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(288) - 3*(1 + sqrt(288))**2) + sqrt(288) - ((sqrt(36)*-3)\/sqrt(3))\/sqrt(6)) + 2.\nAnswer: 180*sqrt(2) + 3470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3967 (base 13) to base 5\nAnswer: -230242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 10. Suppose b - n = 5, 5*b - 2*n - 2*n - 25 = 0. Let d = b - g. Solve d*v + 5*m - 9 = 4*v, 0 = v - 5*m + 21 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/50*-10 + (1 - 1)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -2\/3*r**4 - 3*r - 3 + 2*r**3 - 1\/5*r**5 + 0*r**2. Suppose p(v) = 0. Calculate v.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 526 = 4*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -1. Let g = -20 + j. Solve 0*h - 4*h - 20 = g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*j - 4*j = 0. Suppose 4 = 3*n - 2. Differentiate -3*f**2 - 2 - 2*f**2 + j*f**n wrt f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 7. Let a be m(5). Let i be -2 + -5 - a\/(-1). Let j(k) = k**3 + 10*k**2 + 8*k - 3. Let w be j(i). Solve w*z + 12 = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -575 - -815. Suppose -3*q + 7*q - i = 0. Suppose 0 = 2*l + 2*f - q, -5*f - 95 = l - 3*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*p - 4*s = -114*p + 22, -3*p - 4*s = 25 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -1\/4*m**4 + 1\/9*m**5 - 1\/180*m**6 - m + 0*m**3 - 83*m**2 + 0. Find l such that s(l) = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10331 + -8587. What is the greatest common divisor of 24 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -79*z**3\/4 - 102615*z**2\/2 - 133273503*z\/4 + 5062203 = 0.\nAnswer: -1299, 12\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qimqiihmmqmm. What is prob of picking 1 i, 1 q, and 1 h?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - p - v + 12, -5*p - v = -30. Let z = p + -3. Let s be 1*2*(-12)\/(-8). Solve -2*x = 2*g + g + 13, -18 = -z*x + s*g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**3\/24 - 87*l**2\/8 + 7569*l\/8 - 119. Determine k, given that o(k) = 0.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(245) - sqrt(5)*1*5 - ((sqrt(45)*1)**2 + sqrt(5) + sqrt(55)\/(sqrt(11)*2)).\nAnswer: -44 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + -111. Suppose 6*y + 50 = y. Let k be (-3)\/y*(-10)\/12. Which is the closest to -2\/3? (a) k (b) i (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5401.995ns?\nAnswer: 0.005401995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**5 + 0*h**5 + 4*h**5 + (-2*h**3 + 2 - 2)*(724 + 61*h**2 - 724) + (-h + 0*h + 0*h)*(h**4 + h**4 - 4*h**4).\nAnswer: -119*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 4:11 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2607?\nAnswer: -1\/2607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, s: 5, h: 3, e: 1}. Give prob of picking 1 l, 2 h, and 1 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*z - 45*z - 173461 + 737101. Does 42 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 295\/6 - 2077\/42. What is the nearest to x in -0.5, 0.4, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*s = 22 - 2, s + 85 = 4*d. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -281\/9 + 31. Let u be (-2 + -3 - -4)\/((-2)\/44). Let k be (-15)\/u + (-30)\/(-165). What is the closest to o in 4, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 + 522*m - 519. Determine g(-175).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79037, 157870, 236703, 315536, 394369, 473202?\nAnswer: 552035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/4 - (0 - 2). Let w(i) = -s + 7 - i**2 - 1. Let r(c) = 14*c**2 + 1. Give r(w(y)).\nAnswer: 14*y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -182, 2\/5, -0.092?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -878 = 2*l - 4*l + 2*h, 2*l - 3*h - 876 = 0. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3 + 5) - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17\/1287 - -2489\/6435. Factor -12\/5 + a*h**2 + 2*h.\nAnswer: 2*(h - 1)*(h + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2011356961?\nAnswer: 2011356961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*h - 3*q, 4*h - 25*q = 289 + 79. Calculate the smallest common multiple of 1\/((-2)\/(-124)) - 0 and h.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.349637 millennia in months?\nAnswer: 40195.644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -3, 3, -6, -493, -17 in decreasing order.\nAnswer: 3, 0, -1, -3, -6, -17, -493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4001935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s**2 - 5*s**2 + 1816*s**3 + 9*s - 1812*s**3 as x + m*s + g*s**3 + v*s**2 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 5*v**2 - v - 10. Let c be t(3). Solve 5*l = 4*j + 15, -2*l = -c*j - l - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oboqbooobob. What is prob of sequence bbqo?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41329058?\nAnswer: 2, 20664529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75369.2 - 75369.21563633. Let x = d - -0.01567. What is x rounded to six decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 8*m**2 + 7*m + 15. Let z be x(9). Let u(i) = -2*i**3 - 2*i**2 + 4*i. What is the remainder when 92 is divided by u(z)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.010054 - 0.01. Round t to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 35. Let k = 4 - 0. Which is the nearest to 0? (a) v (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*-441041.\nAnswer: 11908107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-1\/10)\/(o**(1\/6)\/(o*(o*o\/(o*o*o**(-5))*o)\/o*o)) assuming o is positive.\nAnswer: o**(101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538971839 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188 and 51512.\nAnswer: 51512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k - 9 = 0. Suppose 5*l = -0*l + 20, -42 = -3*i + 3*l. Suppose -k*t + 27 = i. Solve 4*h - t*h = 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24\/5*b**2 + 128\/5 - 2\/5*b**3 - 96\/5*b = 0. Calculate b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/39 in 5, 13, 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2939, -2938, -2937, -2936, -2935, -2934?\n\"Answer: h - 2940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6\/i)**(-1\/3) assuming i is positive.\nAnswer: i**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 200, 207, 198, 167, 108, 15, -118?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 904 + 0?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*s**2 - 560*b + 30*s**3 + 23*s**2 + 3 with respect to s.\nAnswer: -4*b*s + 90*s**2 + 46*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 48. Suppose 4*m + 0*m = 8. Let o be i - (m + -14)\/(-4). Which is greater: -2\/51 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/21)\/((-99)\/(-105)*(-2)\/(12\/5))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 17 = y, 3*k - 3*y = 2*y - 13. Let n(m) = -4*m - 1. Let z be n(-1). Let b = 1 + z. What is the least common multiple of k and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -966*o - 5880 = 16338 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-105)\/(-9)*93\/217. Solve -2*a + 2 = -t, -4*t - a - j = -6*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10439151 and -8.7.\nAnswer: -90820613.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 3*x**3 - 2*x**4)*(2 - 2 - x) - 41*x + 69*x + 2*x**5 + 101*x.\nAnswer: 4*x**5 + 129*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - j**2 + j + 1. Let u(f) = 4*f**3 - 6*f**2 - 3*f + 7. Let s(k) = -k**3 - 2*k**2 - 76. Let p be s(-5). Calculate p*u(t) + 6*v(t).\nAnswer: 2*t**3 + 9*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 13*a**2 + 15*a - 10. Let y = 31 - 0. Let b = y + -17. Let c be n(b). Solve 2*p - 4 = -c*k + 5*p, -2*k - 4*p + 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -638 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 54 + 4 = 0. Let a be (-3)\/(-3) + (y - 0). Let c = a - -15. What is the remainder when 17 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 6:05 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271645 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/5, -25\/7, -6, -2\/29, 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -v + 2*r - 18147, 0 = 4*v - r + 14520. Let w = -1561 - v. What is w rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/21, -0.8, 4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9517, -15455, -21401, -27355, -33317, -39287?\nAnswer: -45265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/3))**1)**(46\/7) assuming s is positive.\nAnswer: s**(184\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -22. Suppose 12 = v - 5*v, i = -3*x - 4*v + 6. What is the remainder when 16 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 + 26 - 6*v**2 + 3*v**2 as j + a*v**2 + q*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9\/2, -2, 2\/11 in descending order.\nAnswer: 9\/2, 2, 2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 391341273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50658616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1707 + 73. Suppose 4*c - 24*c + s = 0. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/10 - 3\/10. What is the second biggest value in 1\/27, 3, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 + -80 - (-50 + (-5 - -16)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-4)\/(-32)*8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145.38659 + 0.06659. What is d rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0*w**5 - w + 1\/60*w**6 + 0 - w**2 + 0*w**4 - 1\/6*w**3. Let i(l) be the first derivative of x(l). Differentiate i(y) wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 856\/35 - 122389\/5040. Let n = 1\/16 - u. Put 2, 4, n in ascending order.\nAnswer: n, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/7 - 10*a\/7 - 12\/7 = 0. What is a?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11638)\/14 + -5*8\/(-140). Let v = p - -1870. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is (6508420\/(-30))\/((-2)\/12 + (-1)\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9*r + 67. Let y be x(-8). Is 965 - (1 + y + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -27 + -4 + 10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 7*n**2 - 2. Let d be j(7). Let q be ((-1)\/d)\/((-7)\/56). Let k = 7 + q. What is the greatest common divisor of k and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(6\/11)*q)**27)**(-46) assuming q is positive.\nAnswer: q**(-21114\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.481 + 0.081. Which is the second biggest value? (a) v (b) 0 (c) -1.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -1984*p + 27824. Calculate b(14).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/68 and -55\/51?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsumnensexnnenmemex. Give prob of picking 1 e, 1 n, 1 s, and 1 u.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 179288, -1 in descending order.\nAnswer: 179288, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78523, -314107, -706755, -1256467, -1963243, -2827083?\nAnswer: -3847987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 116183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*-0.0813.\nAnswer: -1.3821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 204*d**2 - 10*d + 4. Give j(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147768 by 3144.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o + 0 + 0)*(44*o + 2*o - 12*o)*(-2*o**2 + 5*o**2 - o**2 + (-o + 1 - 1)*(o - 2*o + 2*o) + 2*o**2 - 6*o**2 + 2*o**2).\nAnswer: -306*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-5))\/((-2)\/35))\/((-305)\/(-61)).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(28)\/sqrt(4)*5 + sqrt(7))*-2*-4*-5.\nAnswer: -240*sqrt(7) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6670901388 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 11) to base 7.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -92759, -93028, -93297, -93566, -93835?\n\"Answer: -269*i - 92490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-43.8.\nAnswer: 13.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5828 minus -62.95928559?\nAnswer: 61.37648559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 708.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 30*u**2 + 33*u - 59. Let b be i(31). Suppose -b*o + 3 = 3*g, -g - 2*o - o - 5 = 0. What is the greatest common divisor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.124 + -53.176. Round h to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/9))**0*(x**0)**(-46))**(-8\/7) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1827614.\nAnswer: 2, 283, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h - 2883 + 3138 = 0 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 8*m**2 - 7*m - 8. Suppose 5*a + 25 = 5*s, 0 = s + s + a - 22. Let q be h(s). Let r = q - -5. Calculate the greatest common factor of r and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 1056?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 - -26. What is the greatest common divisor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1041 and -1.5.\nAnswer: 1561.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((40\/3)\/2)\/(4\/78). Let j = 142 - d. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9761154 and 552.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*w - 29 + 9, 3*w + 30 = 3*u. Solve -j = -b - u, 3*j = 2*b - 0*b + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 529494037\/9132 - 231929\/4. What is the common denominator of s and -41\/27?\nAnswer: 41094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2856 and 1107720?\nAnswer: 7754040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 42422?\nAnswer: -42423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -59069000 to the nearest 100000.\nAnswer: -59100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/22454 and 46\/327.\nAnswer: 67362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 2, 3\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 214.\nAnswer: 3\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1284 + 1314 = 2*u - 3*m, 2*m - 37 = -5*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-70) + 7*21\/30. Let s be (a - (3 - -3)) + 0. Is s < 6\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*z - 2 + (-3*z + 1 - 1)*(1 + 2 - 6 + (75 + 9 - 154)*(3 - 4 + 0)) to l + n*z and give n.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86667 is divided by 5472.\nAnswer: 4587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2473.88751 to the nearest ten.\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-80)\/16 + 325\/5. What is the greatest common divisor of x and 1290?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 0*a - 49*a**2 + 1 + 4*a + 1 + 37*a**2 to the form d*a + o*a**2 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/((-216)\/20))\/(32*(-220)\/(-8448))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3077474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1873144129 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.959 and 30.\nAnswer: -178.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 12*x**2 + 27*x + 12. Give n(-16).\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95) - (sqrt(95) - -1*sqrt(95)*3 - sqrt(95))))\/(sqrt(500) - (4*sqrt(500) + sqrt(500))).\nAnswer: -3*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**4 - 190*u**3 - 8915*u**2 - 52940*u - 44220 = 0.\nAnswer: -22, -6, -1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + j - 7 = -0, 2 = -2*j. Let y = c + 10. What is the remainder when 45 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42031 + -3?\nAnswer: -42034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) 20 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -348 + 355 + -24 + 0 - (7 + 0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -993*f**3 - 659 + 2558*f**3 - 1563*f**3.\nAnswer: 2*f**3 - 659","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*x + 74, 3*x + 3*v - 40 = -v. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j**2 + 15*j + 21. What is the remainder when 311 is divided by k(-2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/40 and -87\/52.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -320*p - 1 + 2*p**2 + 321*p - p**2. Determine u(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1010654?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21720*h**3 - 65229*h**3 + 21788*h**3 + 21719*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135 is divided by 169?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 635, -1996, 1 in decreasing order.\nAnswer: 635, 1, -3, -1996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((26\/(1040\/100))\/5).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 - (1 - -5)) - (167 + -41 + -57)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(4320))\/(sqrt(10) + -2*sqrt(40)))**2*-3.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10 + (9 - -21944) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18716 divided by -6.\nAnswer: 9358\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618\/2207 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 - 66*x**2 - 3*x + 66. What is z(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(0*c + 6*c - 5*c - 4*c - 2*c + c + (c - 3 + 3)*(-3 - 2 + 7)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -166.935 + 167. Let x = v - 0.025. Which is the biggest value? (a) x (b) -3 (c) -2\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 163, 210, 257?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p - 4. Suppose 7*y - 2*y - 30 = 0. Let f = y - p. Solve 20 = -5*w - 5*l, -3*w + f*l = 3*l + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-13)*(-8)\/(-8)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1628 - 1627.96. What is the closest to 0.2 in o, 1, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.19 + 27.19. Which is greater: s or -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = -4*h, 2*h - p + 0 = 4. Let s = -591 + 569. What is the smallest value in 1, s, -0.5, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.88 * 0.5\nAnswer: -0.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-14) - (-3)\/((-105)\/(-46015)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, -17, -139, -343, -635?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 10 = -0*o - 2*r, 4*o = r + 6. Let h(z) = -2*z + z + o*z + z. Let n(b) = -4*b**2. Give n(h(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -52 + 330*n - 166*n - 162*n in the form a + u*n and give a.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*s = 2*v - 40, -s - 14 = -3*v. Suppose -337 - 359 = -v*w. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*x + 3*x. Let z = -3 + x. Suppose -z*v + 5*t + 11 = 4*t, 4*t = -3*v + 33. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31, -25, -167, -437, -877, -1529, -2435, -3637?\n\"Answer: -7*v**3 - v**2 - 4*v + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67680831?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 1:12 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 142 - 156 = 0. Solve t*c + 17 - 45 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 229 - 229.3. What is the smallest value in -0.5, c, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 3*n - 2. What is a(-8)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 100110?\nAnswer: 100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-2 - -2)\/(-1). Is (-3)\/g*98\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 613 + 668 = 4*j, -j = 2*n - 16 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/23700 and 163\/2100.\nAnswer: 165900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5 = 0, -10*a + 15*a + 4*x - 4594 = 0. Suppose a = 5*h - 227. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 13 = -3*h - 0*h, z = 3*h + 11. Suppose -64 = -z*g - 0*g. Solve -g + 12 = 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 410304923 to the nearest one million.\nAnswer: 410000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = -3*u, 4*y = 4*u - y - 6. Solve 4*s - 16 = l, u*l = 2*s - 3*s + 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4524292, -4524298, -4524304, -4524310, -4524316, -4524322?\nAnswer: -4524328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5660156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*r - 16 = 0, -2*r + r = 3*u + 1. Calculate the remainder when 16 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**3 - 2*t**4 + 3*t**3 - 2*t**3 + t**4 + 2*t**3 + (-2*t**3 - 4*t + 4*t)*(0 + 2*t + 0) - 2*t + 2*t + t**4 + 2*t**4 + 3*t**4 - 4*t**4 + 4 - 4 - 4*t**4.\nAnswer: -7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/528 and 109\/18?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81877 = -21*s + 385*s + 90977 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.08 (b) 2 (c) 8 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**3 - 7*l**2 - 16*l + 146. List the prime factors of j(7).\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40.2, 5, -578\/423 in increasing order.\nAnswer: -40.2, -578\/423, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 997*j + 165922. What is q(211)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -82*f - 4108. Let g be r(-50). Which is the fourth smallest value? (a) 0.3 (b) g (c) 0.41 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 426477701 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**3\/5 - 1656*u**2\/5 - 457056*u\/5 - 42049152\/5 = 0.\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**6\/8 - 17*c**5\/20 + 2*c**4 - 2*c**3 + 6*c**2. Suppose n(b) = 0. Calculate b.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/5)\/(1\/35). Let g = r - 6. Let n be g\/(-20) + (-38)\/30. What is the biggest value in -0.4, n, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < -296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 464 + -2317\/5. Suppose 9\/5*t - 9\/5*t**2 - 3\/5 + j*t**3 = 0. What is t?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-120)*4)\/((-3)\/6).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 29*g + 815. Let v be l(-28). Solve 83 = v*n + 86 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 11036439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-51)\/(-1) + -1 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 7*p + 25. Calculate the remainder when 222 is divided by j(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 4) in base 3?\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -438, -1641, -4012, -7947, -13842, -22093?\n\"Answer: -66*b**3 + 10*b**2 + b + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5276016090 to the nearest 1000000.\nAnswer: 5276000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -54*h. Let d(m) = 5*m - 1747. Determine d(u(p)).\nAnswer: -270*p - 1747","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 2:07 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((2 - 10) + 12)\/(2\/248). Suppose 3*p + p = u. Suppose -7*k + 6*k = -p. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 59.37884 micrometers?\nAnswer: 0.05937884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 3\/2 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**3*s**3 - 256068*k**3*s + k**3 + 339221*k**2*s**3 wrt k.\nAnswer: 6*s**3 - 1536408*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -744*f**2 + 42*f**2 - 641*f**2 - 508*f**2.\nAnswer: -1851*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1085831243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 223668 and 64?\nAnswer: 3578688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*2 + 2 + -2. Let n be (-2)\/(-1) + 28\/(-14). Suppose n = -2*o + y*b - 230, 4*o - b = 2*o - 230. Which is bigger: -1\/2 or o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 3. Let x be (1602\/i)\/(30\/145). Let p = 1948 - x. Calculate the common denominator of 19\/5 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*d**2 - 162*d**2 + 26*d**2 - 318*d**2.\nAnswer: -424*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90509*n - 90357*n + 4 + 2 + (n + 0*n + n)*(-1 + 0 - 2).\nAnswer: 146*n + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -24, -3, 20?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*i + 147. Let j = 32 + i. Factor 2*n**3 + 21*n**3 + 6*n**3 + 3*n**4 - 2*n**3 + 81*n + 81*n**j.\nAnswer: 3*n*(n + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1364008 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 396050000 to the nearest 1000000.\nAnswer: 396000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47968, -97362, -146756, -196150, -245544?\nAnswer: -294938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 33cc82?\nAnswer: 33cc7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 29113*a + 436209. Give g(-15).\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 359549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-3) + 9\/(9\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2*3.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/751 or -3?\nAnswer: 1\/751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 34 - (5 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*v**5 + 2*v**4 - 864*v**3 - 187*v**2 + 2*v + 44 wrt v?\nAnswer: -900*v**2 + 48*v - 5184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3))**(-23\/2)\/(z\/z**1*z*z**(-2)) assuming z is positive.\nAnswer: z**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 1, 0.3, -1\/5, 47, -0.119?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - 1) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -79.\nAnswer: -4.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 616 and 924?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*x - 260*x = 651 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 134549.979 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184 and 207?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 12*t**5 - 15*t**2 - 3*t**3 - 7*t**3 + 15*t**4 + 0*t + t**3 - 3*t = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*h - 30*h**3 + h**2 + 9*h + 12*h - h**4 + 15*h + 13*h to k*h + w*h**2 + t + b*h**4 + u*h**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -32 (b) 4\/7 (c) 220\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -24.6009?\nAnswer: 29.6009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 50 - 26. Let a(r) be the second derivative of -1\/30*r**4 + 5*r + 2\/15*r**c + 0 - 1\/5*r**2. Find p, given that a(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 101, 0.1, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkke when four letters picked without replacement from ekreekekyeeeeerlk.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 428179521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5310755, 5310753, 5310751, 5310749, 5310747, 5310745?\nAnswer: 5310743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4073.99985305 + 4074. Round m to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 626850832 to the nearest integer?\nAnswer: 25037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-11 - -5 - (-5 - (29 - 16))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/6 - 671*l\/3 + 447\/2.\nAnswer: (l - 1341)*(l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 445014966 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 10*o**2 + 7*o - 11. Give p(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19170149 is divided by 1362?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/((-3120)\/(-300))*(-6)\/((-8)\/8).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -241 + 237. What is the nearest to 12 in 5, f, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(26)*1)\/(-1*sqrt(98) - sqrt(98)).\nAnswer: 5*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 290 = 5*y, 5*y + 291 = -x - 4. Let u = -57 - y. Suppose -4*w + 731 = p, -2*p + u*p = w - 179. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 508077 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 3*g**2 + g + 3. Determine o(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 4. Suppose 4 - 19 = -3*a. Let j be w(a). Let r = 21 - j. Solve -2*u - 2*o - 6 = 0, 0 = -4*u + 4*o - r - 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(49\/28))\/((1518\/1748)\/33)?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -103246?\nAnswer: 10324.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1 = -0*f - f, 0 = 3*f - z + 8. Let v = 20 - f. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (180\/33)\/3 + -2\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114 - -1435132?\nAnswer: 1435014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 444 + 36. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -64*m + 4098. Give b(65).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 3 + 13 + 10*x + x**2 - x**2. Let p be v(-9). Suppose -22 = -2*b + 2*w, -2*w - p - 11 = -b. 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 the square root of 5421850 to the nearest integer?\nAnswer: 2328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18616\/572 - 32)*33\/(-15).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 24 = 4*p. Suppose 2*b + p = 4*b. Are b and 7\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6014 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 21*m**2 - 18*m - 42. What is the units digit of q(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -264 + 265. Which is the closest to -1\/4? (a) -2\/17 (b) 4 (c) 2\/13 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**26\/a)**(-6)\/(a**(-2\/13)*a*a**39) assuming a is positive.\nAnswer: a**(-2468\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0779 and 3397.\nAnswer: 3397.0779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -8*j - 22 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -795900 to the nearest 10000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.533 rounded to 1 decimal place?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4 + 19935*x**3 + 39843*x**2 - 99663*x - 119574 = 0.\nAnswer: -6643, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0676 * 6.\nAnswer: -0.4056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*v = -105*v + r - 467, -904 = 4*v + 4*r. Let u = v + 330. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1105 = 458*c - 727. Let 4\/21*s**c + 0*s**2 - 2\/21*s**3 + 0 + 0*s - 2\/21*s**5 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*y + 54*y = 296191. What are the prime factors of y?\nAnswer: 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004821954 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5 = 5*m, -3*s + 0*s + m - 1 = 0. Suppose s = q + 16*q - 68. Solve 13 = -q*y - 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 14. Suppose -2 = k*x - 5*x. Suppose -y + 32 = 2*b - 9, 0 = x*b + 5*y - 61. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*v - 5*h + 47, 313 = 5*v - h. Let n = 47 + v. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 22916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 2130 = -80*y + 26*y for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-625)\/2625*(-8 - (-336)\/40)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/3)\/(-2)*(-1782)\/594?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 301555, -1, 0, 9, 3 in ascending order.\nAnswer: -1, 0, 3, 9, 301555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqjuzzqzzujjqjjju. What is prob of sequence qqz?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6149954179.\nAnswer: 103, 59708293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.46 - 0.06. Let m = d + -1. Let p = -18\/31 + 2\/217. Put -0.1, m, p in increasing order.\nAnswer: p, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19749\/13 + (-560)\/91 + 6 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 29*m**3 + 2*m**2 - 18*m + 17. Let y be c(1). Solve -y + 24 = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**3 + 3*n**2. Let a(h) = -3*h**3 + 7*h**2 + 5*h - 5. Let z(g) = -g**3 + 3*g**2 + 2*g - 2. Let j(t) = -2*a(t) + 5*z(t). What is -f(y) + 3*j(y)?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + 0.47. Let p = -3.43 - i. What is p rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 6*p**2 - 20*p - 26. Let c be o(-8). Solve -a - c = -3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -604168 (base 9) to base 7.\nAnswer: -3015563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(170)*-3)\/sqrt(10) - (sqrt(17) + -2)*6) - (3*sqrt(204)*-2)\/(-6*sqrt(48)\/sqrt(4)).\nAnswer: -37*sqrt(17) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-73 - (30 - 66))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*g + 880 + 257 = -663 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7320 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1604046 is divided by 534680.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 9*h**2 - 2*h. Let l(j) = -9*j**3 - j + 1. Let r be l(1). What is the remainder when 25 is divided by o(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/14, 2.274, 428?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-35)\/(-15) - 1) + 1882\/6. Suppose -3*r + 5*r - 3*i - c = 0, 475 = 3*r - 2*i. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77787455?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 7*i + 3*i**4 + 10*i**4 + 2*i + 4*i - 31*i in the form m*i**4 + k*i**3 + t + b*i**2 + r*i and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230.803 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (1*sqrt(13)*6)**2 + sqrt(78)\/sqrt(6)*3.\nAnswer: 4*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.35 - 3.2. Let l = j - 2.15. Let g = -0.5 - -0.6. Which is greater: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182703 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 47, 46, 45?\n\"Answer: -u + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.4640734 + 129.5\nAnswer: 130.9640734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:25 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (v - 2 + 10 - 3)*(-10*v + 47*v + 11*v) in the form z*v**2 + c + h*v and give z.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/2)\/((-3)\/(6\/2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 12*s**2 + 11*s - 15. Determine p(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 151. Suppose 47*c = 21*c - m. Which is smaller: c or 8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 77\/3. What is the closest to -4\/7 in -2\/7, r, -8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/24)\/(-11)*(-24)\/645?\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r + 9. Let g(k) = -5*k - 3. Let z(d) = -3*g(d) - o(d). Let t(i) = -246*i + 1. Determine t(z(l)).\nAnswer: -2460*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16339 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 0*o**2 - 2*o**2)*(4*o - 1 + 1) + 2*o**3 - 2*o**3 - o**3 - 108*o**3 - 179*o**2 + 179*o**2 + (o**2 - 3*o**2 + 3*o**2)*(4*o - 3*o - 2*o).\nAnswer: -134*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32662 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.76861 + 3270.\nAnswer: 3272.76861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmr when three letters picked without replacement from mzzzmzrmmzmmzzzzzm.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 7:13 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 1836.1, 20, -5, -0.19 in increasing order.\nAnswer: -5, -4, -0.19, 4, 20, 1836.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 34 - 9 = -3*h, 3*h - 5*r = -16. Let b = 17 + h. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*r - 36 = 4*r, 0 = -r + 3. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqiqqqqiqii. What is prob of sequence iqq?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*k - 51177, 46441 = -4*u + k - 4706. Let p = u + -10212. What is p rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 594 and 15012?\nAnswer: 165132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 71892643, 71892644, 71892645, 71892646, 71892647?\n\"Answer: r + 71892642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, y: 3}. Give prob of picking 2 y and 2 w.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -15 + 7 - (-2 + 9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 8 - 29 = 0. Let r = -12 + d. Let g(h) = h**3 + 6*h**2 + 3*h - 2. Determine g(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 - 21*b - 60. Is x(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from {f: 4, w: 5, i: 2, m: 1, q: 1, z: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 1 = 0, -10935*b + 10939*b + 15 = -3*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 * -0.243\nAnswer: 0.2916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*w + 74*w**2 + 9*w + 18*w**2 to the form c*w + t + r*w**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32046233?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eeeyeeeeeeyeey.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5476*k**5 + 2*k**4 + 2*k**3 - 1359*k**2.\nAnswer: -328560*k**2 + 48*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 - -61. Let x(z) = -z**3 - 3*z**2 + 127*z + 30. Let k be x(10). Let a = -129 + 91. Put p, a, -4, k in descending order.\nAnswer: k, p, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1)\/(2089\/29246 + 1\/(-406)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(8\/3))\/q**2*q\/(q*(q\/q**11)\/q)*q*q*q\/(q\/(q*q\/q**(1\/15))))**(-3) assuming q is positive.\nAnswer: q**(-169\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + -1)\/(-4 + 3). Suppose -2*x + 2*d - 9 = -3*x, -4*x + 2*d = -p. Suppose 2*f = -f. Solve f = a - x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 229780.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -363 divided by 4.\nAnswer: -363\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 7*l - 24*l + 4*l.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**3 + 7*w. Let t(j) be the first derivative of j**4\/4 + j**2\/2 + 720. What is -h(c) + 6*t(c)?\nAnswer: c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.17 + -30. Let a = 0.033 + 0.037. Let n = a - k. Which is bigger: 0.2 or n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(2\/7))**44)**(2\/31))**(-27))**(-14\/3) assuming l is positive.\nAnswer: l**(3168\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 134452*v**2 - 29346?\nAnswer: 268904*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 734 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6937759 at most as big as 6937760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -39940, -159702, -359298, -638734, -998016, -1437150, -1956142, -2554998?\n\"Answer: -k**3 - 39911*k**2 - 22*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = 17*l - 27*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -146*g**2 + 46*g - 11402. Let b(j) = 72*j**2 - 23*j + 5697. Let l(f) = -9*b(f) - 4*x(f). What is the first derivative of l(q) wrt q?\nAnswer: -128*q + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1289 - -1287. Which is the nearest to -2\/5? (a) -4 (b) -2\/9 (c) s (d) -8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1051 - 425. Suppose -2*q - 614 = -2*v, 2*v = -2*q - 0*q - t. What is q rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.056256+-1\nAnswer: 0.056256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30236 + -30230. Solve 4*a - 3 - 1 = 3*l, 5*a + s = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 595596 and 595546 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/(-9) + 4\/((-48)\/(-2804))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 3:47 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + (-1 - 4) + 4 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o**4\/5 - 356*o**3\/5 + 1432*o**2\/5 - 108*o - 522\/5 = 0. Calculate o.\nAnswer: -29, -3\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**17*u)\/((u**(3\/8)\/u)\/u))\/(u**5*u)**(-2\/73) assuming u is positive.\nAnswer: u**(11557\/584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60041210 divided by -5.\nAnswer: -12008242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -2*f + 2*d + 62, -78 = -5*f - d. Let t = f + -9. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -808 = -36*k + 21*k + 2*t, -4*k = -4*t - 212. What is the smallest common multiple of 6858 and k?\nAnswer: 6858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/(q*q\/q**(-1)*q))\/q)*q)\/q**(-1\/4))**(-2\/9) assuming q is positive.\nAnswer: q**(-25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -32.5. Let w = 5.5 + j. Which is the third biggest value? (a) -5\/6 (b) w (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -178.\nAnswer: 7\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14.8, -6\/71, -4, 342?\nAnswer: -6\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1282568 and -245?\nAnswer: 1282813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 0*u + 4*u**3)*(-8*u - 10*u + 12*u) as n*u**4 + i*u**2 + b*u + y*u**3 + o and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*n + 11*c - 9*c, -3*c + 28 = 2*n. What is the greatest common divisor of 120 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -58.87. Let h = f + 0.13. Suppose 2*g + 4 = 3*z - 2, 5*z + g = -3. Which is the third smallest value? (a) -5 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -123088 (base 13) in base 6?\nAnswer: -13154234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x**(-2\/19)*(x**(-1))**38)**(19\/5) assuming x is positive.\nAnswer: x**(-743\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-867)\/(-204) + 0\/(-2) + -5. Which is the third smallest value? (a) 0.039 (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -594164, -594127, -594090, -594053?\n\"Answer: 37*j - 594201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8467?\nAnswer: 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.991 - 0.091. Let k = c + -1.8999845. Round k to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaryaaakaaya. What is prob of picking 1 a, 1 r, and 1 k?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y - 80. Let d be l(16). Let z(x) = -x**2 + x - 4. Let f(c) = -c. Let n(j) = f(j) + z(j). Determine n(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 148 + 38 = 0. Let a = -20 - n. Suppose 0*p - 3*p = -4*z + 27, -3*z - a*p - 1 = 0. Put z, 0, -2 in descending order.\nAnswer: z, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260 - -262. Suppose n + t = 154 + 37, 5*t - 376 = -q*n. What is the remainder when n is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135 + 137. Suppose -379 = 3*d + 2*g, -p*d + 3*g = 7*g + 242. Are -130 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - h - 40. Let b be s(7). Find the first derivative of -24*c**2 - 56*c**3 + 7*c**2 + 130 - b*c + 17*c**2 wrt c.\nAnswer: -168*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -3*d**5\/20 - 2*d**4\/3 - 5*d**3\/6 + d. Let t be z(-5). What is t rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -25. Let t = -5 - b. Suppose -t*k + 23 = -152. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bc45 (base 14) to base 15.\nAnswer: 16093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (0 - 2) + 6. Suppose -23 = -r*k + 46. Let f(w) = -13*w - 1. Calculate the remainder when k is divided by f(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 279\/3289 - 2\/253. Put 5, x, -41 in ascending order.\nAnswer: -41, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -857841*r + 14583291. Calculate n(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-6 + (8 - 6) - 4) + 6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 871450006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 195\/(-130)*(-2)\/(-3). Is n at least 28\/227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**4\/4 - u**3\/6 - 45*u**2 - u. Suppose -4 = -2*b + 4*b. Calculate g(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 = 0, l + 5*h - 85 = 28. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i**3 - 147*i**2 + 228*i - 490. Give k(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34500895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 965 divided by 1\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001100101 + -101000101000?\nAnswer: -1001010001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4860?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 11*w + 33. Let x = -7321 + 7307. Calculate n(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + s + 4*s)*(6*s + 4*s - 6*s) + s**2 - 1 + 1.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + v - 1471*a = -1461*a - 86, 16*a - 50 - 14 = 0 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.41474159 - -0.21674312. Let o = 0.198 + u. What is o rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 94*k + 688. Calculate f(-89).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2958.\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/((-13475)\/4774)*-5.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (1 - (-4 + 8 + -29 - -7))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 25*g + 13. Suppose 6 = 2*v + 4*w, v + 3*w + 15 = 6*v. List the prime factors of c(v).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 108 = r + 3*p, -p = -5*r + 244. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 811*w - 216555. What is s(267)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3582, 7151, 10720?\nAnswer: 14289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 15?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*x**5 + 6089*x**4 - 3*x**3 + 105354*x**2 + 13 wrt x?\nAnswer: -240*x**2 + 146136*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55351, -221407, -498165, -885625, -1383787, -1992651, -2712217?\nAnswer: -3542485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85530.4us to milliseconds.\nAnswer: 85.5304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 4*g + 7. Let d be h(5). Solve 2*j + d*x = -6, 4*x - 2 = 2*j - 20 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -24. Let w(d) = 2*d**2 - 4. What is the remainder when w(-4) is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 0)*(-36)\/30?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19\/((-570)\/100))\/((-11)\/11))\/(-6).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-26)\/22 - (-33750)\/594. Calculate the greatest common divisor of 722 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3828740, 3828741, 3828742, 3828743, 3828744, 3828745?\n\"Answer: z + 3828739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 + 15*l - 25. Let p(s) = s + 2. What is the least common multiple of p(2) and a(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, t: 15}. What is prob of sequence at?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.4 in -12, 1\/7, 3\/4, 0, -21.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 665*i + 4*i**3 - 4068*i**2 - 2 - 332*i - 10145*i**2 - 333*i.\nAnswer: 4*i**3 - 14213*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 2 + 7 + -1. Suppose 2*q = -r + 2*r, 0 = -r - q + y. Solve 4*o - 4*t = -0*o + 24, -r*o - t + 14 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5310 (base 7) in base 12?\nAnswer: 10b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -2*b**5\/5 - 191*b**4\/4 + 2*b**3\/3 + 321*b**2\/2 - 1550. What is the third derivative of j(w) wrt w?\nAnswer: -48*w - 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01193 times -61\nAnswer: 0.72773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - 15*i**3 - i**4 + 17*i**3 + 2*i + 4 + 0*i**2 as v*i**3 + f*i + a*i**4 + k + d*i**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + l - 4*l)*(0 + 0 + 3*l)*(0*l**2 + 5*l**2 - l**2).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-114)*1*8?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 6*r. Let u(v) = -4*v**3 + v**2. Calculate the smallest common multiple of s(4) and u(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r + 3 - 3 + (10 - 3 - 23)*(-2*r + 2*r - 3*r) to the form k*r + v and give k.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204506682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -3, -4, -0.1, 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -8. Let n = 60 - i. List the prime factors of n + -9 - -1*94.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35300\/15 + -1 + 4\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39499653 by -1362057.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + 5 + w**2 + w**3 - 8*w**2 + 2*w. Let g be x(4). Sort -1, g, -5 in increasing order.\nAnswer: -5, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - (6 + 4\/(-2)). Put 2, i, 6 in ascending order.\nAnswer: 2, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -70 (c) -4 (d) 9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 8:31 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30 + 0\/(-1))*4\/(-12). Let u(l) = -l**2 + 8*l + 22. Let r be u(w). Solve r*s = -s - 6, 4*k + 5*s + 14 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -795, -2682, -6343, -12366, -21339, -33850, -50487?\nAnswer: -71838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6602*o**2. Let u(g) = 3*g. Give u(j(c)).\nAnswer: 19806*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8591.702 centuries?\nAnswer: 10310042.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -0.05323 (b) -0.5 (c) 2 (d) 114 (e) -3 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -57. Suppose -44 = -4*n + 176. What is the remainder when n is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p + 3*p + p - 3*p + 4*p. Let h(s) be the third derivative of s**4\/4 + s**3\/3 - 41*s**2. Let o = -1 - -3. Determine o*f(g) - h(g).\nAnswer: -4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3192\/630 + (-1)\/(-3) + -3?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -118308433*r**3 - 420441273 wrt r?\nAnswer: -354925299*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1286 and 45600274.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5*m + 50, -4*j - 2*m = -0*j + 30. Does 6 divide (40 - j) + 5 + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 9:21 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 1284.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 280530, 1122175, 2524938, 4488819?\n\"Answer: 280559*v**2 - 32*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -47, -1125, -493 in increasing order.\nAnswer: -1125, -493, -47, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2808761476096*q**2 + 6703744*q - 4 = 0.\nAnswer: 1\/837968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110031 (base 7) to base 3.\nAnswer: -222101020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2*1*(-25)\/(-30) + 94395\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6)*3 - -1. Let p(q) = -q**3 - q - 6. Determine p(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7088 - -7633. What is the remainder when d is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24403, 21687, 18971, 16255, 13539, 10823?\nAnswer: 8107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -676*k**4\/5 - 7228*k**3\/5 - 13952*k**2\/5 + 4816*k\/5 - 384\/5 = 0. Calculate k.\nAnswer: -8, -3, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*v**2 - 3*v**3 + 7*v**3 + 49*v**2 - 5*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 5*z**4\/12 + 5*z. Let p(l) = -2*l. What is p(u(i))?\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c = -2*k + 12526 - 12442, 5*k = 5*c + 50 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-4)*1\/(-1)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -389.9 - -393.9. Which is the closest to 86? (a) -3 (b) 0.5 (c) g (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-15 + 12) - 6\/4. Sort -5, q, -0.48 in ascending order.\nAnswer: -5, -0.48, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5552?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1180020 divided by -142.\nAnswer: 8310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.02 + 884.02. Let k = 875.923 - m. Let s = k - -0.077. Which is the smallest value? (a) -3 (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/sqrt(9) + 5 - ((sqrt(152)\/sqrt(8))**2 + 4).\nAnswer: -18 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*t - 2*y - 19, -4*y + 36 = 3*t. What is the lowest common multiple of 6 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134 and 335?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*w**2 + 354*w**2 - 21 - 205 - 706*w**2.\nAnswer: -62*w**2 - 226","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 7:25 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9161213*g**4 - 5994988*g wrt g.\nAnswer: -109934556*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(17)*1 + ((sqrt(68) + sqrt(68) + 0)**2 - sqrt(17)) - sqrt(204)\/(2*sqrt(588))) + 0.\nAnswer: -29*sqrt(17)\/14 + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 56416565, 56416555, 56416533, 56416493, 56416429, 56416335?\n\"Answer: -l**3 - 3*l + 56416569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216)*2*3 + sqrt(1216).\nAnswer: 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = 3*d - 5*l - 95268, -d = -3*l - 31764. Is 110 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -9 + 0)*(-4)\/(-10). Let x be -1 - 1\/((-32)\/42). Let f = -195\/112 + x. Does f = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r - 7 - 126 + 69. Does 26 divide q(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5545\/36 - 154. Let t = 80 + -562\/7. What is the closest to t in q, 2\/23, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 899988 = 5*g, 5*g = 4*d - 2*d + 899992. Suppose g = 3*q - 5*q. What is q rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4*h = -19, 1778*p - 1776*p + 3 = h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*a + 499*a - 24 = -4*w, -3*w = 2*a + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158369?\nAnswer: 29, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y + 19. Calculate h(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4040 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-325)\/35 - (-4)\/14. Let w be (6\/l)\/(4\/(-12)). Solve 3*j - 2*f - 1 - 8 = 0, j - 7 = w*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvviviiviiivivieiivv. Give prob of picking 1 e, 1 v, and 1 i.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 2*l**2 + 3*l - 9. Let z be f(3). Is -3*(-6)\/z - -17 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 2976?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-125)\/45)*210\/63.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 53\/4 of a second?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*r + 18 = 0, 3*k = -62189*r + 62184*r - 29 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 4421114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-4)\/1*117\/(-78)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 2*m**2 + 2*m**2)*(-3*m**3 + 5*m**3 - m**3) + 5 + 2*m**5 + 2 + 14*m**3 - 16*m**3 - m.\nAnswer: 3*m**5 - 2*m**3 - m + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28658 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*(-2352)\/735.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k - 1. Let i(d) = -d + 1. Let p(a) = a**3 + 8*a**2 + 7*a + 3. Let l(j) = -3*j**2 - 3*j - 1. Let r be l(-2). Let v be p(r). What is v*n(g) + 5*i(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o**2 - 21*o**2 + 32*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*f - f + 3*u, 3*u = 0. Let b be (-2 + 6)*(2 - 1). Solve -5*j + 25 = -b*a - 4*j, f = 5*j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = 4*q - 162. What is the first derivative of 2*x**3 - 1 + 0*x**3 + q*x**2 + 16 - x**2 wrt x?\nAnswer: 6*x**2 + 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3595 is divided by 287?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m. Let k be v(-4). Let x(h) = 6*h + 2 - h**3 + 0 - 5*h**2 + k. Let c be x(-6). What is the greatest common divisor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30105 divided by -669\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1085 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -2\/7 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 + 30 + 37*l)*(-3 - 2 + 4)*(-l + 1 - 1) in the form x + i*l + s*l**2 and give s.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -88*l**2 - 2815*l + 38. Calculate q(-32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 = 14. Let d be g\/(-28) - (-5)\/(-7). Is -2\/13 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r**2 + 5*r + 3. Let b(q) = -19*q**2 - 2 - 3*q - 16*q**2 + 31*q**2. Let g = -27 - -24. Calculate g*f(y) - 5*b(y).\nAnswer: -y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22237 and 22.5.\nAnswer: -500332.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 10*h**2 - 24*h + 10. Let z be m(-12). Let u(k) = -k + 1. Let w(o) = -2. Let c(l) = -u(l) + 2*w(l). Determine c(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1647 (b) 3\/4 (c) -11529 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(171) + (sqrt(19) + sqrt(684))*-1 + 1*sqrt(931)*-5 + 2*(2*sqrt(931) + sqrt(931)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i. Let v(g) = -g**2 + g + 1892. Give v(r(z)).\nAnswer: -64*z**2 + 8*z + 1892","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4565184 divided by -21948.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 0*t + 4 + 4*t)*(-2 + 3 - 3) - t - t + 0*t + (1 - 3 + 1)*(2*t + 4*t - 5*t) - 168*t + 83*t - 88*t.\nAnswer: -174*t - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) 0.1 (c) -10 (d) -2 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(21\/9 + -3). Suppose -40 = -t*q - 1. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(h + h + 0*h)*(0*h + 3*h + h) - 3*h - 2*h**2 + 3*h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, s: 1, g: 3, c: 2, m: 7}. Give prob of picking 1 m and 1 g.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 16 - 8 - 4*x + 2*x - 11. Determine y(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b (base 12) in base 10?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 10, 28, 54?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13\/((-104)\/(-14240))*3\/5 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*63.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 53*x - 43*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/9)*w)**(1\/45)*(w*w**(-1\/2))**(-4\/9))\/((w**(-5\/6)\/w)\/(w*w\/(((w\/w**(1\/2))\/w)\/w)*w))**32 assuming w is positive.\nAnswer: w**(82006\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 592, 1751, 3682, 6385?\n\"Answer: 386*n**2 + n + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(84) - sqrt(84) - (sqrt(84) + -6*1*sqrt(84)))\/(sqrt(96)\/(sqrt(96)\/sqrt(3))).\nAnswer: 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 433420421?\nAnswer: -433420414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 53*y - 14043. Give u(148).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -1\/3 (c) -2 (d) -197 (e) 154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 6*h = -30. Suppose 0 = -h*z + 6*z - s + 307, -5*s - 159 = -2*z. Let m = z - -115. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 248 = 3*v. Suppose -4*a + 9*a - v = 3*k, a - 14 = -k. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 8. Let j = -1 + 1.05. Let u = 3.05 - j. Which is the second smallest value? (a) -1 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 23.068, 4, -28\/19, 2 in decreasing order.\nAnswer: 23.068, 4, 2, -28\/19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ssssstssttwst.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + (57 - (4 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 446792461 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3579437 and -86903798.\nAnswer: -90483235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -41*r**5\/4 - 485*r**4\/4 - r**3\/2 + 1992*r. Find the third derivative of b(a) wrt a.\nAnswer: -1230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 17*q**2 + q - 18. Let z be l(17). Sort 3, 1, -5, z in decreasing order.\nAnswer: 3, 1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/78*546\/63)\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 72 = -4*j + 7*y, -18 = -j - 4*y. Let c = j + -13. Let k(q) = 2*q**2 + 5*q + 3. Let r be k(-4). Calculate the highest common factor of c and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52305 and 1540.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*q = -90*q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*q + 2211 = 3027 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.345 - -0.055. What is the second biggest value in q, 1\/16, -5?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 4 - 2)*(9*z**3 - 167*z**2 + 167*z**2).\nAnswer: -126*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvvnnsnvvvunn. What is prob of sequence vnnu?\nAnswer: 13\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 8*x**2 + x - 3. Let m(c) = c**2 - 3*c - 8. Let j be m(5). Suppose -15 = -j*k + 1. Give a(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 2a8a8b0?\nAnswer: -2a8a8b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u**2 - 3*u - 3. Suppose 0 = -22*h + 61*h - 15*h + 5808. Let i(a) = 440*a**2 - 121*a - 121. Give h*q(b) + 6*i(b).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119 - -117.23. Let a = -14.23 + s. Sort -3, a, 0.3, -4 in decreasing order.\nAnswer: 0.3, -3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-24)*4*1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 34 + 0 + 25 + -59\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f - 752 = 241 + 191 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 + -84. Let z be (2\/4)\/((46\/r)\/(-23)). Sort -3, z, 1, 7 in ascending order.\nAnswer: -3, 1, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i**4\/17 - 9184*i**3\/17 - 18422*i**2\/17 + 25306*i\/17 - 6900\/17 = 0 for i.\nAnswer: -3, 1\/2, 1150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 131456 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1297.69 rounded to the nearest integer?\nAnswer: -1298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 7:37 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 48441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 781 - 779. Let h(f) = 2*f**2 + 3*f - 1. Let d be h(4). Suppose 5*m - a - 35 - 36 = 0, 3*m - d = a. What is the greatest common divisor of m and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52214554 a multiple of 971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + -2 + -1)\/2. Suppose 5*m - 2*j - 33 = p, -2*m + 5*j - 12 = -3*m. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from vujqvquvjqvqvvvvqvuj?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2571899657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132689*t**6*y**2 + 237*t**2*y**2 + t**2*y + t**2 - 54*t*y**2 wrt t.\nAnswer: -15922680*t**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b**13\/b))\/b*b**16)\/(b\/(((b*b**(2\/81)\/b)\/b*b*b)\/b*b)*b*b*(b\/(b**(-5\/2)*b)*b)\/b) assuming b is positive.\nAnswer: b**(247\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 11:00 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3. Let y = 9.2 - 9. Let w = 4 + -9. What is the closest to n in 0.3, w, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010698401 to seven decimal places.\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 133*u**2 - 1. Let h(n) = n**3 + 134*n**2 - 8. Give 2*h(b) - 3*i(b).\nAnswer: -b**3 - 131*b**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52931126 - 52931126 - 288*o - 777*o.\nAnswer: -1065*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-756)\/(-27)*((-2)\/(-10))\/((-46)\/(-115))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1314907, 2629843, 3944805, 5259793?\nAnswer: 6574807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.53962 decades in years?\nAnswer: 615.3962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**7\/630 + 19*t**6\/720 + 13*t**5\/120 - 35*t**4\/144 - 25*t**3\/36 - 423*t**2. Solve s(h) = 0.\nAnswer: -5, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (3 - 2) - -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1501535 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1192 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(363) + 0)**2.\nAnswer: -88*sqrt(3) + 379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + -4 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c - 6*c - 4*c**2 + (-2*c - 2*c + 2*c)*(2*c + 3*c - 3*c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(468) + 0 + 5 + sqrt(468)).\nAnswer: -36*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 6 = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43915 - 25325. List the prime factors of s.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-352)\/935)\/8)\/(30\/(-75))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 7) to base 16\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -264919 - -485519. Round k to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -2\/3, -166, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -7 - 5 - 14) + (0 - -11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 12) in base 5?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2328544*k - 2328544*k + 13*k**2.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*s = -5*g + 123, 3*s + 5*g - 379 = 0. Sort 5, 4, -1, s.\nAnswer: -1, 4, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 - 58 - (1 - 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o + 21. Let a be u(-3). Suppose -a*x - t = -5*x - 1, 2*x + t = 0. Let l(j) = 38*j**2 + 2*j + 2. Let s be l(x). Which is smaller: s or 39?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -84*p + 2062. What is g(20)?\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 8*g**2 - 1. Let w be u(8). What is the remainder when 63 is divided by 13 + (4\/w - -7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28123784 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22632 - -3?\nAnswer: -2262a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2272954439?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 325989 - 0.8?\nAnswer: 325988.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15681, 25388, 35093, 44796, 54497, 64196, 73893?\nAnswer: 83588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 7\/30*b**5 + 5\/12*b**4 + 0*b + 2 - 7\/6*b**3 - 4*b**2. What is the remainder when v(-4) is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 112\/6*9\/6. Suppose -5*w - 2 + 37 = -5*b, -17 = -5*w - b. What is the highest common factor of w and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1885 = -k + 2*m, 5*m + 4146 = 3*k - 1508. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 smaller than 11939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -7\/60*o**5 - 1\/120*o**6 + 0*o - 1\/2*o**3 + 0*o**4 + 0 + 9*o**2. Let n be z(-7). Let k(b) = -3*b. Calculate k(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z + 11. Let m be g(5). Let r be 6\/(-30)*45\/m. Put -1\/2, r, -8 in ascending order.\nAnswer: -8, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/827554 and 9\/9094.\nAnswer: 827554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12572427?\nAnswer: 3, 7, 598687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b - 31*b**3 - 312*b**2 - b - 3*b - 3*b**5 wrt b?\nAnswer: -180*b**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14748438 (base 9) to base 12\nAnswer: 25680bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -266\/23277 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5250 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -1, 4, -5055.\nAnswer: -5055, -1, -2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 3710 and -2472549.8.\nAnswer: -2468839.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/198 - 80869\/(-7810))\/((-2)\/5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -17 = 654444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -351 + 13535404?\nAnswer: 13535013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 9*i - 9. Let v be w(-8). Let o(r) = r. Let s(d) = d**2 + 2*d + 5. Let b(x) = v*s(x) - 6*o(x). What is the units digit of b(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1072*o**2*v**3 + o**2*v**2 - o**2 + 5*o + 307*v wrt v.\nAnswer: 6432*o**2*v + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*q - 15. Suppose q*s - n = 133585, 0*s = 2*s + 5*n - 53407. Let f = s + 17284. What is f rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v**3 + 17*v**3 + 13*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 173503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 31576.\nAnswer: 221032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 88065529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8195617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 151191?\nAnswer: 1058337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1837762.\nAnswer: 2, 97, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -10. What is the third derivative of 2*c**5 - 11*c**2 + d*c**2 + c**5 wrt c?\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w - 94. Calculate h(20).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/270)\/((((-42)\/7)\/6)\/(-50))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - r - 240. What is the highest common divisor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - w - 1. Let f(b) = 2*b - 3. Let t be f(0). Let v be t\/12 - (-78)\/24. Suppose 3*p = 2*n - 9 - 1, 4*p = -v*n - 19. Determine m(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(30)*-2*-1 - sqrt(30))\/(sqrt(294)*2).\nAnswer: sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 37789969.8 to the nearest 100000.\nAnswer: 37800000","meta":{"dup_signals":{},"source":"numbers__round_number_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: Sort 3, -2, 1 in ascending order.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -19*l + 135. Let w = 877 - 870. Let c be r(w). Put -1, c, -5, -7 in ascending order.\nAnswer: -7, -5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191*-0.19.\nAnswer: -36.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**3 - 4*t + 0*t**3 + 2 + 0 + 5*t**2 - 4*t**3. Suppose 2*k = 10 + 12. What is the smallest common multiple of k and d(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 - 42*f - f**2 - 2*f**3 + 0*f**4 + 37*f + f**3 to the form n*f**3 + u*f**2 + v + k*f**4 + h*f and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*u + 149, 2*g + 140 = 3*g - 5*u. Suppose 11*f = 1163 - 492. Let a = g - f. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r + 34*r - 20 = 5*h, -3*h = -r + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 88 - 2*m + 141.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 5543373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1358, -8313, -19892, -36089, -56898, -82313?\n\"Answer: x**3 - 2318*x**2 - 8*x + 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12899? (a) 1 (b) -2\/5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzcejvzj. What is prob of picking 1 z, 1 f, and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - 447*v - 606*v + 848*v in the form p*v + g + s*v**2 and give p.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-7) + (28424\/1001)\/(-19)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12737, 25036, 37335, 49628, 61909, 74172, 86411, 98620?\n\"Answer: -f**3 + 6*f**2 + 12288*f + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-9) + (1906 - 1898)*2\/(-18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 2084891.\nAnswer: 22933801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -140 divided by 14\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 1\/2720, 2\/19.\nAnswer: 1\/2720, 2\/19, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.42 + -0.08. Let x = -10270 - -10276. Which is the closest to n? (a) -5 (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6b90 + b6?\nAnswer: -6aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*f + 3 + 12 = 0, -3 = u - 2*f. Let j be 6\/3 + u + 2280001. Suppose -4*h = -2*h - j. Round h to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20410.72968 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 6461564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 51 - 43 + 54)*((1 - 1 - q)*(3 + 4*q - 3) - 12*q**2 - 3*q**2 + 5*q**2).\nAnswer: -1652*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 41.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 141\/15 - 4\/10. Suppose -c = -3 + r. List the prime factors of (-1)\/(-2) - 63\/c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbbc when four letters picked without replacement from {s: 4, c: 8, b: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1498169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -0.366.\nAnswer: -0.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5954*l = 253*l - 21725*l - 11984*l + 1375100 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w + 18*w - 7*w + 30 - 10*w - 3*w. Let f be u(5). Let d(m) = -m**3 + 6*m**2 + m - 3. Let l be d(6). Which is smaller: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 23 + 27. Calculate the remainder when 11 is divided by 2\/10 + 58\/i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.23 + -0.27. What is the smallest value in 5, 0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 317, 2498, 6133, 11222, 17765, 25762?\n\"Answer: 727*v**2 - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u, 6*k - 2*k + 1500 = -u. Let i(t) = 6*t**2 - 3*t + 24. Let x be i(11). Let h = k + x. Calculate the highest common factor of 38 and h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 38 - 8*v**3 + 3*v - 2*v**2 as p + c*v**2 + h*v + u*v**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928896133 to the power of 1\/2, to the nearest integer?\nAnswer: 43919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2582, -5393, -8198, -10997, -13790, -16577, -19358?\nAnswer: -22133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-15) - 116\/(-30). Which is bigger: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*k = 65*k - 50 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.3 times 2857?\nAnswer: 189419.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646262639 - 646262639 - 18*h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/16)\/(-40*(-123)\/(-10496))?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3995775 divided by 75\nAnswer: -53277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32277 is divided by 455?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 3*v**2 - 2 + 3*v**2 - 4*v**2 - 3*v. Let h be c(2). Suppose -h*p - 8 = -3*p. What is the smallest common multiple of 18 and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**3 - 139795*p**2 - 72222920*p - 9416240700 = 0 for p.\nAnswer: -27435, -262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, -13.9, 0.26, -4\/5 in increasing order.\nAnswer: -13.9, -4\/5, 0.26, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + (1 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/(m**11\/m))**29\/(m**(-2)\/(m\/(m\/(m\/((m\/(m\/(m\/(m**12\/m*m)*m)))\/m)))*m))**(-20) assuming m is positive.\nAnswer: m**(-590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 = -63*v + 1705 + 102 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, 1 j, and 1 u when four letters picked without replacement from {j: 8, o: 5, d: 2, e: 2, u: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 154\/(-2079)*18*1\/((-4)\/11)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + -4 - -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) -1\/3 (c) -28 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 54 = -3*l, -l - 3*l = 4*x + 48. Let o be 6\/x*(-2 - 1 - 2). Solve 5*z - 3 - o = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:13 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25462960 to the nearest integer?\nAnswer: 5046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 90 (c) 2 (d) 0.2 (e) 0.07 (f) 4 (g) -0.248\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9 = -3*p, 0 = -0*v - 5*v + 2*p + 12. Suppose -j + 0 = -5*t + 4, j - 4*t + v = 0. Let r = 212900 + -212898. Solve 2*g - j = -r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 9*b**4\/4 - 20*b**3\/3 + 13*b**2\/2 - 2*b + 6. Factor t(u).\nAnswer: (u - 1)**2*(9*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 146.54 - 144. Let o = 2.540154 - x. What is o rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 5*z + 15, 4*r + 3*z - 25 = -48 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -2\/11 (c) 3 (d) 2 (e) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 2*s**3\/3 + 3*s**2\/2 + 2*s + 1. Let g(p) = 4*p**2 + 5*p + 3. What is 3*g(o) - 5*x(o)?\nAnswer: 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -645.1 - -131.1. Which is smaller: c or 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174342 is divided by 4842?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12192 + 60752\/5. Let n = -1436\/35 - t. Let u = 596\/3 + -198. Sort u, -5, n in descending order.\nAnswer: u, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 410 (b) 0.1 (c) -285\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 10. Suppose -3*a = -y*b + 18, 0*b - 4*b + 11 = a. Let u(d) = -d**2 + 7*d. Determine u(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*((-252)\/18)\/84?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/1230691830 and -117\/20.\nAnswer: 2461383660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.94781 to one decimal place.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*-2*(-3 - 6). Suppose 0 = v + d*v - 40. Solve 0*h = -v*h - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3155230 (base 6) to base 16.\nAnswer: 25f02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9037*c**3*x**3*z + c**3*x*z**3 - 4*c**2*x*z**3 + 2*c**2*x - 87*c*x**3 wrt c?\nAnswer: 54222*x**3*z + 6*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f*f**25))\/f*f)*f*f)**(40\/7) assuming f is positive.\nAnswer: f**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 6*m. Let a be j(7). Let d be ((-12)\/(-10))\/((-21)\/70). Let s(l) = l**3 + 4*l**2 - 4*l + 4. Let z be s(d). Solve a*b + z = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 = -4. Suppose p - 3*o = 2*o - 17, x = -4*p + 4*o. Is 2 + p - (0 - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 16) + 5 - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4}. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -157, -880, -2073, -3724, -5821, -8352?\n\"Answer: 2*p**3 - 247*p**2 + 4*p + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -378 - -376. Let h be 1\/(1\/(-3 + 2)). Put 6, h, o in decreasing order.\nAnswer: 6, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104568 divided by 1\nAnswer: 104568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*u - 1. Suppose 5*o + u*n = 30, 5 + 0 = -5*o + 3*n. Let w(b) = 0*b + 7 - 5*b - 4. Determine w(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104687*u - 84821*u - 24361*u + 18 - 17.\nAnswer: -213869*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_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: Suppose -12*k = -7 - 29. Suppose 2*y + k*y - 15 = 0. Suppose y*p - 3*w - 129 = 0, 4*p - 172 = 6*w - w. What are the prime factors of p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 13 - 3*w**2 + 4*w**2 - w - 3. Suppose -190*l - 3 = 118*l - 3. What is the remainder when 29 is divided by z(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.7442 from -0.3.\nAnswer: 0.4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 18610*h**2 + 1225*h + 15. Let n(y) = 18611*y**2 + 1226*y + 14. Let u(c) = -6*a(c) + 5*n(c). Factor u(j).\nAnswer: -5*(61*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -17, -11, 1, 19, 43, 73?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-14052)\/248*6\/(-171)) + (-2)\/(-38).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2717291913 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-42) - (-750)\/84. Factor 2*l - u + l - 11*l**2 + 23*l**2.\nAnswer: 3*(l + 1)*(4*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1213 and 3?\nAnswer: 3639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + -13d591?\nAnswer: -13d59e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - l - 2144 = 2756, -l = -b + 980. Let q be b\/21*90\/7. Suppose 9*g - q = -141. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 16635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 13*g**2 + 1783*g - 1783. Give b(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(209) - ((sqrt(209)*-2 - sqrt(209)) + sqrt(209))))\/sqrt(11))**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/33)\/(-7)*372\/868*7\/12?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -502 (base 13) to base 7\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eieeoiooiev. Give prob of picking 1 e and 1 v.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j - 13. Let o be t(-3). Let v(a) = a**3 - 4*a**2 - 4*a. Give v(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2893)\/(-36) + 40\/(-32). Let q = k + -79. Let s = 1 - 2. Is q bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(9)\/sqrt(75))*2.\nAnswer: 2*sqrt(3)\/5 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = -d - 3*z, -d + 3*z - 61 = -314. Is 10 a factor of d\/24 - (-2)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 6*k**2 - 5*k + 3. Let c be g(-5). Suppose 0 = 2*x + 2 - 8. Let t be 1\/x + 22\/6. Solve c*z + 6 = 0, 5*y - t*z + 2 = 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**4\/4 + x**3 + 2*x**2 + 3*x + 121. Determine w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.085 - -0.485. Let p = -59\/46 + -5\/23. Let s = -31 - -29. Which is the closest to -0.1? (a) p (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 + 4*c - 13 + 3*c - 3*c + 3*c + (-14 + 5*c + 14)*(-2 - 1 + 1).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j - 16. Let y(p) = 18*p + 51. Let v(c) = -12*c - 34. Let u(d) = 7*v(d) + 5*y(d). Let h(s) = -5*k(s) - 4*u(s). Calculate h(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98198685 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6586)\/(-1068) - (3 + (-148)\/48)*(-5 - -15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 10:19 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.3, 4, 3\/4, -0.141?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 3*j - 70. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g**2 + 2 + 0*g**2 - 29*g + 7*g**2 + 3*g + 5*g**2. What are the prime factors of b(-10)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.3? (a) -1\/2 (b) -2 (c) 0.3 (d) 89 (e) -1\/5 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 7*c - 0*c - 16, 0 = -4*k + 6*c - 16 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3*14918708\nAnswer: -44756124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*i**2 - 70*i**2 + i**2)*(-i**2 - 2*i**2 + 2*i**2) + i**4 - 1 + 1 + (3*i**3 - 4*i**3 + 0*i**3)*(-3*i - 1 + 1) + 2*i - 2*i**4 - 2*i.\nAnswer: 147*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/17984 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a1 (base 13) to base 2.\nAnswer: 111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.2 + 0.8. Let j(n) = -n**2 - 52*n - 30. Let p be j(-51). Let v be (0 + 2)*7\/p*-3. What is the second smallest value in v, -2\/15, g?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 10 = 2*x, 0 = x + 4*x - b - 13. Let u be (7392\/126 - 40)*6\/8*2. Solve u = x*o + 30 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from {k: 1, y: 3, i: 6, w: 7}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 6*v + 2. Let x be l(-6). Suppose -2*z + x = -4. Find the second derivative of -8*m + 3*m + z*m**3 + 0*m - m wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2277640 is divided by 253070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284396 is divided by 97?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 509 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -89753*f - 37234?\nAnswer: -89753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5248*s + 5233*s + 0 + 0 - 10482*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1486 less than -11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 46. Suppose 5*k = 6*k + 13. Is q greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + (-58)\/12)*2. Let c(q) be the first derivative of 1\/9*q**3 - 1\/3*q**2 + t*q - 1. What is a in c(a) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 13*v**2. Let i = -12 - -12. Suppose i*c = -4*c + 8. Let k(w) = 9*w**c - 14*w**2 + 7*w**2. What is f(k(b))?\nAnswer: 52*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 24781 and 24783 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 1, i: 1, x: 1, e: 1, t: 6}. What is prob of sequence hu?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 19.\nAnswer: 36\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 1, 2 in descending order.\nAnswer: 5, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3227120 divided by 130\nAnswer: 24824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 19.4. Let f = -173\/5860 + -6\/293. Sort a, f, -2 in descending order.\nAnswer: f, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 38. Let y(l) = 32*l**2 - 2 - 31*l**2 + 0 - o*l. Calculate y(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 - 1687388*w**2.\nAnswer: 2*w**2*(w - 7593246)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -38.9. Which is bigger: -0.52 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 2*b**2 - 8. Let w be y(0). Let h(s) = 13*s**2 - 9*s - 18. Let x be h(w). Let p = x - 629. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/391, 5, 5\/2?\nAnswer: 4\/391","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4531900?\nAnswer: 2, 5, 45319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 divided by -3?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 + 4*w - 8. Let x be g(-6). Suppose 3*i + 5*p - x = 0, -7*p + 22 = i - 2*p. Suppose 4*l - 3*t + 75 = 181, t = 4*l - 110. Does i = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3449 and 536?\nAnswer: 1848664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 - 34*v**2 + 31*v + 16. Let g be x(16). Which is bigger: g or 35\/134?\nAnswer: 35\/134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07623 to three decimal places.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 5*b**2 + 705. Let c(j) = j**3 + 6*j**2 + j - 702. Let r(k) = -5*c(k) - 6*m(k). Differentiate r(t) with respect to t.\nAnswer: 3*t**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 490394516 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*r**2 - 14*r - 2 + 0*r.\nAnswer: -4*r**2 - 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001187273 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skojoqpsk. What is prob of picking 1 q and 1 o?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 6*t**2 - 4*t**2 - t**3)*(5 - 5 + 2*t**2).\nAnswer: -2*t**5 + 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -985 (base 11) to base 8.\nAnswer: -2236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (6 + -6 - -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95 (base 16) to base 4.\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3122 + 1?\nAnswer: 3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4 + (-4 + 1 + 2)*(7 + 6 - 4) - 5 + 4 + 2 - 5 + 0 + 4 + 3 - 2 + 1 + 1 - 1 + 1)*(-3*x + 3*x + x).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8*m**4 + 42*m**3 + 148*m**2 + 198*m + 90. Let a(d) = 55*d**4 + 295*d**3 + 1035*d**2 + 1385*d + 630. Let p(t) = -3*a(t) + 20*r(t). Factor p(g).\nAnswer: -5*(g + 1)*(g + 2)*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -r + 8 + 9, -4 = -3*w + r. Solve w*n - 2*n = -2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyffybfbyyyyyyyy. Give prob of sequence fyby.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33113607 to four decimal places.\nAnswer: 0.3311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.19 + -1.81. Suppose -2005 = 29*b - 1860. What is the closest to -0.05 in b, y, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z = 2*z - 63*z + 408. Solve -3*v - z = 3*i, -2*v = -4*i + 8*i + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 - 2*k**2)*(4 - 22*k + 41*k - 28*k).\nAnswer: 18*k**3 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -76563*g**3 + 3*g**2 - 5*g + 4. Let m be (-7)\/8*-6*4. Suppose -5*b + p + m = 0, b - p + 5*p = 0. Let i be o(b). Round i to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Let s(d) = -d**2 + 15*d - 31. What is the lowest common multiple of s(3) and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 482328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1306*u - 28727. Determine l(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -32*y**3 + 36*y**2 + 76*y + 823. Is b(-37) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 231 + 294 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 9, 4, 3 in decreasing order.\nAnswer: 9, 7, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340 and 500?\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -102, -389, -864, -1527, -2378?\n\"Answer: -94*l**2 - 5*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -543, -398, -15, 720, 1921?\nAnswer: 3702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 664085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85960656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*q**2 - 12*q + 12*q + 94*q**2 - 165*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-35))\/(-4 - (-234)\/60)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 816393272 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5, -1\/5, 1\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**2 - p. Let s(q) = 15*q + 122. Let t be s(-8). Let z(w) = 2*w - 2*w + 228*w**t - 231*w**2. What is z(n(a))?\nAnswer: -108*a**4 + 36*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 - -59. Sort -2, -9, h, 3 in decreasing order.\nAnswer: 3, h, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0181 (b) -3\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2200325 and 97635.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19900 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 13*x - 3. Give m(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 3*p + 110*b - 106*b, -24 = 4*p + 10*b - 9*b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -977*c + 10001. Let q be y(10). Solve -12*o - q = 21*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0 - 1\/15*a**6 - 1\/3*a**3 - a + 1\/6*a**4 + 1\/10*a**5 + 0*a**2. Find i, given that y(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*sqrt(121)*-2 + sqrt(121) + sqrt(121))\/(6*((sqrt(11) - 2*sqrt(11)) + sqrt(11) + sqrt(11)) - sqrt(11)).\nAnswer: -6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(4\/3)*z)**(2\/31) assuming z is positive.\nAnswer: z**(4\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -87, -3, 47 in descending order.\nAnswer: 47, 4, -3, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 283319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.9 + 28.2. Let v = 13\/6 - 8\/3. Let n = v - -2\/3. Which is the nearest to -0.2? (a) n (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-6)\/15*-5). Suppose -14 = -4*c - 2*o - a, 5*c + o - 16 = 0. What is the lowest common multiple of c and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26114524 is divided by 710.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -9366 greater than -9292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 + 13*q**2 - 12*q**2 + 3*q**2 + 9*q**2.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -1, 441, 4 in ascending order.\nAnswer: -2, -1, 1, 4, 441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/11)*t\/t**(1\/17))\/(((t\/t**(10\/3))\/t)\/t**(-5\/7)))**(1\/13) assuming t is positive.\nAnswer: t**(12910\/51051)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 4. Let g be (12\/(-15))\/(q\/(-40)). Let z = 11 - 15. Sort g, z, -1.\nAnswer: z, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-10 - -17) + -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106 and 192.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.052517 and -1742064.\nAnswer: -1742064.052517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 11*s - 7. Let i(k) = k**2 + 3*k + 8. Let z be i(-3). Let b be r(z). What is the greatest common divisor of 19 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*sqrt(171) + (sqrt(228)*-2)\/sqrt(12) + ((sqrt(19) + 1)*6 - (-4 + sqrt(475))).\nAnswer: 2*sqrt(19) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -237 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -5*u**4\/12 - 575*u**3\/3 - 66125*u**2\/2 - 22*u - 7. Factor p(i).\nAnswer: -5*(i + 115)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -526 + 104. Let s = d - -421.99999538. Round s to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*u**2 + 36*u**2 - 17*u**2.\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -443 + 11*u - u**2 - 13*u + 419 - 511 - 2*u**3 as z*u**2 + b + c*u + n*u**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0146 + -0.0946. Sort -5, -2, l in decreasing order.\nAnswer: l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2\/11 - 17301078*c\/11 + 17301076\/11 = 0 for c.\nAnswer: 1, 8650538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 15*x + 875 = 69 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 98\/3. Let h(b) be the first derivative of c*b**6 + 0*b - 3\/2*b**2 - 4 + 0*b**5 + 0*b**3 + 0*b**4. Find the second derivative of h(m) wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1059, -1075, -1091, -1107?\nAnswer: -1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 19 = 2*p + 3*y, -3*p + 2 = 2*y. Let w be 0\/(-3) + -2 + p. Suppose -3*f = w*f - 95. What is the remainder when 54 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110010000010000 + 11?\nAnswer: -1110110010000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, and 2 b when four letters picked without replacement from pappwbmppmpwmwmb.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 15. Suppose s*u + 15 = 7*u. Let d be 4 + u*1\/(-1). Is 1\/14 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 (base 11) in base 12?\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 5\/2*y**2 - 1\/4*y**4 + 6 + 4\/3*y**3 + 8*y. Let h be j(5). Solve h = 4*l - 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77 * -0.06.\nAnswer: -4.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49069428 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6540*v - 26122. What is w(-4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.787 - 0.027.\nAnswer: 28.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 5:39 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 638771.31 and 1.0786.\nAnswer: 638772.3886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w**3 - 2*w**2 - 2*w - 1. Let r be v(-1). Let j(n) = -n**2 - 5*n + 3. Let p = -127 - -120. Let h be j(p). Is h less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**4 + 2*o**4 - 7*o**4)*(0 - 4 + 5) - o - 37*o**3 - 21*o**4 + 37*o**3.\nAnswer: -23*o**4 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.08 + 7.1. Let h = x - 4.02. What is the nearest to -21 in -2\/7, -1\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(2 - (-33)\/(-15))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*j - 16264 + 16264 as n*j + y and give n.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 n, and 1 f when four letters picked without replacement from {f: 3, n: 1, t: 4, q: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 65 + 82. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(-409 + 705 - 471)*(-3 + 3 - 2)*(-d - 2 + 2).\nAnswer: 700*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*m - 5 = -2*m, 0 = -2*s - 5*m + 10. Put 0, 2, s, -1 in decreasing order.\nAnswer: s, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279843 divided by -8.\nAnswer: -279843\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11981 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 254070 by -50814.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 39*v**2 - 42*v - 81. Let p be n(-40). Let h be 2*((-118)\/(-44) + -3). Which is the smallest value? (a) p (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 310968 and 88848.\nAnswer: 621936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73 and 102.\nAnswer: 7446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 2*b = b. Suppose b = p - 0*p - 505. Let o = p + -352. What is the greatest common factor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(539) + 1) + 2 + (-1*sqrt(99)*-1 + sqrt(99))\/(sqrt(9) + sqrt(9) + sqrt(9) + sqrt(27)\/(sqrt(3)*-1)))**2.\nAnswer: 328*sqrt(11) + 18507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4092873*l**4 + 580*l**2 - 3*l.\nAnswer: -98228952*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72\/205 - 2\/41. Let k = -1.91 - -2. Let z = 3.91 + k. Which is greater: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3\/7, -0.4, -28 in decreasing order.\nAnswer: 3\/7, 0.4, -0.4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -136.153436329 + 0.153599329. Let p = -136 - z. What is p rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -3\/2 (b) 2\/9 (c) -1\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from {l: 7, e: 1, s: 2, w: 5, t: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 2:43 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.65691857 + -0.12452?\nAnswer: 3.53239857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 3*b**2 + 5*b - 3. Let n = 177 - 113. What is the remainder when n is divided by i(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -5 (c) 0.10968\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/7 and (-2)\/(-13) - ((-84576)\/(-13338) + -6).\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-4)*(-752)\/(-658).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3237 + -16112\/5. Let c = y - 15. Let h = -31285 + 31277. Sort 3, h, c in descending order.\nAnswer: 3, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 868378 is divided by 557.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-3)*(-114)\/(-4). Let i be (-1 - 2) + 3 - 0. Suppose i*s - 5*s = -g. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4*o**2 + o)*(-310*o**2 - 31*o**2 - 91*o**2 - 207*o**2).\nAnswer: -2556*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.8, 0.06, -3\/5, 1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 13 = -l, 1 = 2*l - i + 2*i. Solve 2*g + 17 = l*d, d + g = 3*d - 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/6 - 89\/(-3). Let t = 408 - d. List the prime factors of t.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/14*(-12264)\/(-3504)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**2 + l - 1\/45*l**5 + 0 - 1\/120*l**6 - 1\/72*l**4 + 0*l**3. Let q(m) be the first derivative of d(m). Factor q(v).\nAnswer: -v*(v + 1)*(3*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11319 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1542988 to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven halves of a centimeter?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/6 (b) -5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 692287788 by -5547.\nAnswer: -124804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18254989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 7. Let u = r - -1. Calculate the smallest common multiple of (-4 - (u - -4)) + 10 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*g**4 - 43945*g**3 + 139450*g**2 - 14695*g - 22020 = 0. Calculate g.\nAnswer: -1468, -1\/3, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4268 - 12262 = 30*d. Let y = -548 - d. What is the remainder when 19 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -3\/17 (c) -5 (d) -29 (e) -0.2 (f) -137\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146694, -146698, -146702, -146706, -146710, -146714?\nAnswer: -146718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/765*-20*-1*1.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/2 of a century?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7 = 4*d, 5*d + 2*l - 2 = d. Let h = -26 + 24.9. Let t = -2.9 + h. Sort t, 1, d in descending order.\nAnswer: 1, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 40 = -o + 3*o, 105 = 4*q + o. Suppose -f = -6*f + q. Solve f*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + 0 + -1*sqrt(343) + 5 + 4)**2.\nAnswer: -140*sqrt(7) + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 617126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Let j(v) = 14*v**2 + 27 + 23*v**2 + v**r + 91*v**2 + 7*v. Is j(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(8\/3)*n**(9\/5)*((n*n**2\/n)\/n)**36 assuming n is positive.\nAnswer: n**(607\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(12 - 12 - 2*x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6813260, 6813258, 6813256, 6813254, 6813252, 6813250?\nAnswer: 6813248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*f = 188*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3\/2 - 110255*z**2\/2 - 317807100*z - 151491782520.\nAnswer: -5*(z + 523)*(z + 10764)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -187768.993 - -187693. Let a = y - -76. What is a rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/18392 and -45\/137071?\nAnswer: 229182712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 + 7*a**3 - 2 - a**2 + 2*a**2 as r*a + h*a**2 + t*a**3 + y and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2 = -4. Let q(k) be the first derivative of -k**d + 2*k - 1 + 0*k + 0*k. What is the derivative of q(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1535953 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15266 and 849303?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -339? (a) 15 (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13478868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/222*(-253)\/(-2024)*(13 + -1).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 346 by 6.\nAnswer: 173\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - q + 26 = q, 0 = 3*x - 3*q - 42. Suppose x*p = 19*p - 12. Does 8 divide -3 + (p*14)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/120731 + 436366\/4949971. Calculate the common denominator of -43\/91 and l.\nAnswer: 3731","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/361*2831\/(-21158).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**5\/60 - 7*r**4\/24 - r**3 + 14*r**2. Determine w(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19748 or -1204637\/61?\nAnswer: -19748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -11. Suppose 0 = 3*w - q - 12, 2*w - 2*q = -s*q + 25. Solve 5*f - w*u - 15 = -0*f, 33 = -4*f - 5*u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26056 + 26326. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 610.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 13*a + 7. Let f be j(15). Suppose -7 = -4*w - 19. Let t = w - f. Calculate the remainder when t is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3246200576.\nAnswer: 2, 1973, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 3*d + 537, -2*d = -4*n + 857 - 171. Let r = 134 + -112. What is the remainder when n is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 10*o + 10. Let z = -137 + 150. What is the units digit of u(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*o - 6, 0 = h + 2*h + 2*o - 4. Suppose -4*f + 88 = -h*f. Let b be 4\/f + (-141)\/(-11). Solve -5*v - b = 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 90)*11\/330. Factor 0*d + 0 - 5\/4*d**b - 15\/4*d**2.\nAnswer: -5*d**2*(d + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*v = -0*v - 10, 2*v = -3*y + 5. Suppose 0*s - y*s = -6. Let j(b) = 7*b - s*b - 8*b - 3*b. Let q(c) = -3*c. Give j(q(k)).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -890764 (base 13) to base 10.\nAnswer: -3228658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**3\/3 + x**2\/2 + 31*x - 3. Let g be c(0). Suppose -4*d + g = 5*v - 5*d, -3*v + 19 = -d. Solve v + 4 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a century in months?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1155*f = 1264*f + 1635 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**1\/y*y))**(1\/53)\/((y*y**(2\/17)*y*y)\/(y\/y**(-1\/3)))*(y\/y**(4\/3)*y)\/y**(-2\/29)*(y\/y**(-1))**50 assuming y is positive.\nAnswer: y**(48783\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 69*x**3 - 2282*x**2 + 164*x - 95. Determine a(33).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**3*p**4 - 2971*k**3 + 1845*k*p + 2*k - 4 with respect to p.\nAnswer: -12*k**3*p**3 + 1845*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9052030399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j. Let i(y) = y**2 - 7*y - 5. Suppose -4*v + 9*v = 40. Let a be i(v). Calculate m(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -4950308.\nAnswer: 5\/4950308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 10:46 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/7 + (8\/66)\/(203\/(-435))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13648.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6.031669 milliseconds?\nAnswer: 6031.669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**3 + m**2. Let g(k) = 5*k - 33. Let z be g(8). Suppose -8*n - z*n + 15 = 0. Calculate b(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*w + 323. Let t = 81 - w. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.1, 0, 51.092?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 76998 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -78, -82, -88, -96, -106, -118?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76922 by -38461.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -902 + 1000. Let o(m) = m**2 - m + 28. Let p be o(0). What is the greatest common divisor of p and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116928.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14072 - 14072.036. Which is the nearest to 0.2? (a) 3 (b) 1\/8 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 5*w**2 + 9*w - 14. Let c be r(6). Suppose -c*k = -6 - 10. Let p be (4 - 0) + 3 - k. Which is smaller: p or 28\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -531353, -531477, -531601, -531725?\n\"Answer: -124*z - 531229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3 + (-19)\/(-3). Let b(k) = -k**3 - k**2 + 3*k + 2. Let h be b(2). Let n(x) = x**2 + 3*x - 1. Let c be n(h). Solve s + c = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9748 is divided by 4859.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13137213 to three decimal places.\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 70*y**2 - 1117*y - 21. Let t be p(16). What is the greatest common divisor of 12609 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1849 - -1885. Does 21 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39030 = -815*i + 1292 - 20942 for i.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, k: 2}. Give prob of sequence krrr.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1 + sqrt(242))**2 - sqrt(2)).\nAnswer: -23*sqrt(2) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -73, -48, -25, -4, 15, 32, 47?\n\"Answer: -d**2 + 28*d - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 29\/5 (c) 0.06 (d) 0 (e) 1\/27 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1336, 1348, 1382, 1450, 1564?\n\"Answer: 2*v**3 - v**2 + v + 1334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f**3 - 25*f**3 + 5*f**3.\nAnswer: -37*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1324170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 6*o**2 - 7*o + 1. Let g be l(2). Find m such that -25*m**4 + 0*m**5 + 40*m**2 - 3*m**5 + 2*m**5 - 15*m**g + 20*m + 11*m**5 = 0.\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46.1 and 0.0873.\nAnswer: -4.02453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2222985 or 2222999?\nAnswer: 2222985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(180) + -5 - sqrt(180)) + sqrt(180) + -3*(sqrt(5) + sqrt(15)\/sqrt(3)*-6 + sqrt(5)))**2.\nAnswer: -180*sqrt(5) + 1645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71 - 47?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((3*(sqrt(462) + 3*sqrt(462)))\/sqrt(11))\/(sqrt(864) - -6*3*sqrt(864)))**2.\nAnswer: -28\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0*o - 33. Suppose 4*t + w - 6*w - o = 0, -5*t = -w + 2. Let u = t + -4. Put u, -2, 0.2 in descending order.\nAnswer: 0.2, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 120*q + 7. Let f(s) = -119*s - 6. Let n(w) = 5*f(w) + 6*j(w). Let l be n(10). Suppose 4*i - l = 2*i + 4*u, u = 5*i - 3146. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232.8 less than -7141?\nAnswer: -8373.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 130\/52*9*8\/18\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3220 divided by -460?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 + 0.03. Let u = 134 - 133.7. Which is the nearest to -2\/3? (a) 3 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19716611.\nAnswer: 823, 23957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -397 - -400. Suppose 3*x - l = 90, b*x - 26*l + 29*l - 102 = 0. Calculate the remainder when 122 is divided by x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w - 32*w + 18 = 0. Let o be (-110)\/165 - 206\/w*2. Suppose 0 = 64*v - o*v + 16. Calculate the highest common divisor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -13*p**2 + 484*p + 2345. What is s(42)?\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*f - 4*f + 396. Let r(b) = -8*b + 23 + 21*b - 66. Is r(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 611*c - 607*c + 4*k - 125220 = 0, -5*k - 10 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*f**4 + 417*f**3 + 56939*f wrt f.\nAnswer: -360*f**2 + 2502*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 326519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-12\/5))**21)**(-5\/9) assuming x is positive.\nAnswer: x**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6051 or 106\/7?\nAnswer: 106\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + (3 - 1))\/1. Let s(a) = -k + a - a + 5*a. What is the units digit of s(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29975 divided by -5995?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-7 - (1 - 4))) + -8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**4 - a**2\/2 + 5. Find the second derivative of d(r) wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 1:52 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.3 + 21. What is the biggest value in -2, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 5445?\nAnswer: 1\/5445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2418 and 1000618.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.3, -0.03, -1, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by 32\nAnswer: 61\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/8 - (-1)\/2. Let x be (3\/j)\/((-1)\/(-8)). Calculate the least common multiple of 3\/(9\/x) + 14 and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + a - 6*a)*(2 + 1 - 4) in the form y + r*a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4127595328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -250*c + 130*c + 291 + 125*c to the form a + x*c and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2143 + 1103334?\nAnswer: 1101141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5*z**2 + 2*z**2 + 4*z**2 - 6*z**2 - 2*z**4 - 2*z to f*z**4 + j*z**2 + p*z + r*z**3 + h and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78\/11 - -71\/11. Let g(u) = -u + 6. Let y be g(-2). Calculate the common denominator of t and (-2)\/(-2) - y*(-20)\/(-65).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-8)\/(-6)*12\/(-16). Suppose -3*a - 2 = -a - w*h, h = -a + 11. Solve -a*b + 4 = -5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**2 - 377. Let g(u) = -2752*u. Give o(g(x)).\nAnswer: -5504*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(144\/(-88)) - 4)*-21. Solve 4*s - 18 = -6*w, 5*w + 4 = -4*s + u*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 2. Let n be i(0). Let z be -2*(-2 - (45\/(-6) - -4)). Calculate the remainder when 89 is divided by n + z + 1 + 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96633 to the nearest 1000.\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55\/17, -2\/3, 5, -34, 0.9 in increasing order.\nAnswer: -34, -2\/3, 0.9, 55\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/12)\/(-2*2\/6948) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + ((-7)\/(-2))\/7)*(-11020)\/870?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x + 21. Let z be k(-4). Which is bigger: z or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.56 + 4854.0973\nAnswer: 4853.5373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50035\/14854 - 12\/1061. What is the common denominator of -27\/34 and f?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ec - bbb?\nAnswer: -db8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142.9649 + -143. Round w to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001832650277 to 7 decimal places.\nAnswer: 0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**2 - 2*d**4 + 5*d**2 + (492 - 5*d - 492)*(2*d**3 + 0 + 0).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -677, 3, -6 in descending order.\nAnswer: 3, -6, -677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*w + 2*j, 5*j - 6 + 20 = 4*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggllgggglglgggl. What is prob of picking 1 l and 2 g?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 - (-4 + -4 - (8 - (13 + 12)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-8)\/80*4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 0 + (-3 + 1 + 3)*(1 + 0 - 3) - 3 + 2 - 1 - 4 + 2 + 3)*(1 + 4 - 6)*(10*n + 0*n + 22*n) to c*n + x and give c.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -11*v**4\/24 - 182*v**2. Let i(p) be the second derivative of 0 + 0*p**2 + 3*p + 1\/3*p**4 + 0*p**3. Give w(i(l)).\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, c: 2}. What is prob of sequence bbcb?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 + 7*q + 11. What is the remainder when 87 is divided by b(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i**2 - 1363*i - 45163.\nAnswer: 6*i - 1363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 171464357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 12*i**2 - 1. Let t(n) = 463*n. Determine t(h(l)).\nAnswer: 5556*l**2 - 463","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.0587 - 0.0687. Let q = -0.01 - m. Sort 1\/7, q, 1\/3 in ascending order.\nAnswer: q, 1\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from oxodbobtdsdoottbddd.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + h - 277 = 0, -o + 0*h + 3*h + 99 = 0. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, m: 5}. Give prob of picking 4 m.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6947858 centuries to years.\nAnswer: 69.47858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i - 3*i + 19 - i - 4 to the form f*i + j and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**2 - o**2 + 4*o**2 + 5*o**2 in the form f + t*o + b*o**2 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5119793 by 287.\nAnswer: 17839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 19*z + 52. Let l be t(-21). Is -3*(-1 - (l + 4)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a831 (base 13) to base 5\nAnswer: -3130143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkwkkwwwkwww. What is prob of picking 1 w and 1 k?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139998715?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**5 + 0*u**5 - 4*u**5 + 0*u**5 - u**5 + 0*u**5 + (u + u - 4*u)*(-11*u + 11*u + 7*u**4) - 4 + 4 + 2*u**5 - u**2 + u**2 + u**5.\nAnswer: -13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19610 + 19666. Let k = 258 + 358. What is the greatest common factor of z and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1469 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -27. Suppose 5*h - v - 140 = 0, -3*h + 5*v = -63 + 1. Let d = h + c. Calculate the remainder when 46 is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, 0.4, 3, -6\/5, 7, 4, -1897?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(15) - (-3*sqrt(165))\/sqrt(11))\/sqrt(3).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z + 3*z**2 - 13 + z**4 + 12*z**2 + 5*z - 18*z**2 in the form c*z**2 + f*z**4 + v*z**3 + n*z + u and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -826.33 - -823. Let g = -11491.93 - -11539. Let c = r - g. Round c to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p. Let z = 1089 + -1085. Let w be (-9)\/12*8\/(-33). What is the third biggest value in z, p, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, 23 in decreasing order.\nAnswer: 23, 8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1382*w**4 + 15*w**2 + 108*w - 7. Let p(x) = 3*x**4 - x**2 - x + 1. Let h(m) = -7*p(m) - v(m). What is the third derivative of h(y) wrt y?\nAnswer: -33672*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 877479, 1754940, 2632401, 3509862, 4387323, 5264784?\nAnswer: 6142245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 792235*a**2 + 753573?\nAnswer: 1584470*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -394*g*z**3 + 48*g*z**2 - 1078*g*z - 34*z wrt z.\nAnswer: -2364*g*z + 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67537*y**3 - 40931*y**2.\nAnswer: 405222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389389 is divided by 483.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-75)*10\/(-4). What is the remainder when (70\/(-20))\/(u\/(-4)) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - r - 7*r + 3.\nAnswer: -8*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(128))**2 - (sqrt(2) + (sqrt(162) + 1 - sqrt(162))**2).\nAnswer: -sqrt(2) + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439070 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*x**2 - 8*x + 20 wrt x.\nAnswer: -22*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/4 in 0.3, -0.2, 0.4, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 651*h + 3094. Let y be v(-4). Calculate the highest common divisor of 20 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 1, y: 2, q: 2, h: 6}. Give prob of sequence qh.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from teeeeetteeeeeeee.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -66043?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 17 = -u, 28504*u + 4*c + 56 = 28500*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 - 1. Let r(n) = 7*n**2 - 1. Suppose 3*o - 17 = -4*h + 2*h, 5*o = h + 24. Determine o*r(s) - 8*u(s).\nAnswer: -5*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34472 is divided by 5405.\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 6*f**2 + 3*f - 3. Give t(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2*-459\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 16*w**2 - 16*w - 19. Let g(a) = -a + 1. Let m(s) = g(s) - o(s). Let i be m(15). Calculate the greatest common divisor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/16666 + -24997\/33332. What is the closest to 0.1 in 4, -0.0381, w?\nAnswer: -0.0381","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403433?\nAnswer: 403433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 + 4 - 2*a**3 + 5*a**2 + 3*a**3 - 5. Let z be v(-2). Solve 1 = -2*g - z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**4*t - o**4 + 4*o**3*t - 36421*o**3 + 7*o**2*t - 2*o**2 + 20*o*t - 1744*o + 16*t wrt o?\nAnswer: -72*o*t - 24*o + 24*t - 218526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 10891313.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 656228 to the power of 1\/2, to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 632325.1l?\nAnswer: 632325100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 + 12*q - 12*q + (-2 + 2 - 5*q)*(1 - 1 - 2*q)*(-2*q**2 - 4*q**2 + 7*q**2) to t*q**3 + m*q + s*q**2 + z + r*q**4 and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48578774 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2508670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-2)\/(-3)*(-3)\/109). Suppose 4*v - 36 - 12 = -2*m, -5*m + z = -v. Let d = m - -13. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 593060.3 milligrams to kilograms.\nAnswer: 0.5930603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2.32, 5, -33.6 in increasing order.\nAnswer: -33.6, -2.32, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8)*-2)\/(2*133\/(-28))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2 - 31*b + 140. Give i(5).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times -41.6?\nAnswer: -873.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 13*l**3 + l - 1. Calculate w(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0826 and 1?\nAnswer: 0.0826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1458737 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5870259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 3. Let s be f(-3). Let w(d) = -4*d**2 - 80*d - 180. Let l be w(-17). Calculate the greatest common factor of l and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14377, 69984, 162671, 292432, 459261, 663152, 904099?\nAnswer: 1182096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/432 and 8 - -35*688\/(-3600)?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 17 - 5 = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/43884 and -19\/43376896?\nAnswer: 390392064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1085 and 1736?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10*t**2. Let i(u) = -130*u + 2. Determine i(d(r)).\nAnswer: -1300*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60122099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 b, and 1 k when three letters picked without replacement from {a: 2, k: 5, f: 1, g: 10, b: 1, c: 1}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 2. Suppose r*c - 70 = -c. Suppose -c*g = 402 - 1642. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2*b - b)*(1 + 3 + 3*b - 5 + (-b + 2*b - 3*b)*(1 - 2 + 0) + b + 2*b - b - 3*b - b + 0*b).\nAnswer: 12*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a + 5*a = -49*a + 8*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - n - 13. Suppose 0 = 3*l + 3*r + 3, -l = l - r - n. List the prime factors of 36\/(-8)*l\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4905319631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - y = 4*y + 10, -i + 4*y = -5. Suppose i*x + g - 14 = 0, -g - 2 - 2 = -x. Suppose -2*v + x = -1. Solve -m = -v - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*v - v - v)*(-v**3 - 37 + 37)*(v + 3*v + 0*v).\nAnswer: 80*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**3 + 32. Let d(i) be the second derivative of i**3\/6 + i. Let w(m) = -8*m. Let n(x) = 28*d(x) + 4*w(x). Give n(u(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-10)*205\/82. Put -1, 159, n in decreasing order.\nAnswer: 159, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 31. Suppose 3*u - 12 = x. Let j(c) = c**2 + c - 3. Is j(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1\/5 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 69 = 5*y. Suppose 4*s + 5*u = y, u + 1 + 0 = 2*s. Solve c = 4 - s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvz when three letters picked without replacement from vvzz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 245611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 463 = -5*v + 3, 4*v = x + 370. Let k = -88 + v. Calculate the highest common factor of 16 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 2, a: 1, y: 2, g: 1, r: 1}. What is prob of sequence rf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288546 is divided by 72136.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - q**2 - 1 + 0 + 2*q)*((0 + 0 - 1)*(-3*q + 5*q + 0*q) + 14*q - 9*q + 17*q).\nAnswer: 40*q**3 + 40*q**2 - 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41124 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -v + 10 - 74, 4*g - 117 = -5*v. Is (g\/2)\/(31\/62) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2470 is divided by 80.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*n - 2506 + 52 - 2265 - 1357 = 0 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 1:38 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 9*o - 21. What is x(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 33*t + 5. Is p(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*q - 68087 = 0, -2*q + 3446 = u - 10161. Which is bigger: u or 13613?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c - 3*k = -13999997, 3*c - 42000002 = 2*k. What is c rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268, -270, -270, -268, -264, -258, -250?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/3)\/(((-123)\/(4305\/(-14)))\/((-6)\/5)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + -1 + -2*sqrt(684).\nAnswer: -8*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 16 + 0 = 0. Suppose 7*g = m*g - 132. Is g a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1044202 - 3?\nAnswer: 1044144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 5 + -5*sqrt(1300) + sqrt(1300))*-6)**2 + -5*((sqrt(1300) + 1)**2 + 2 - (sqrt(1300) + 0 + sqrt(1300))*6).\nAnswer: -25420*sqrt(13) + 745201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28, -65, -102, -139, -176, -213?\n\"Answer: -37*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 8*a**2 + 6*a - 8. Let k be m(-6). Suppose f + f - k = 0. What is the third derivative of -15*d**3 + 5*d**3 + f*d**2 + 10*d**3 - 13*d**4 wrt d?\nAnswer: -312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*w = 59*w - 6380. Calculate the remainder when w is divided by 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -330 or -2304\/7?\nAnswer: -330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*w - 56*w = -15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2 and (-6)\/30 + -46*(-11)\/(-70)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.9 - -1.9. Let p = -6 - -4. Let i = -5.9 + 6. Which is the closest to i? (a) -2\/9 (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 12. Let n(i) = 5 - 2*i**2 + 3*i**2 + 0*i**2 + 6*i. Determine n(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4bd52 (base 15) to base 12.\nAnswer: -b84ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157131*h**4 + 3*h**3 + h**2 + 104702*h - 3.\nAnswer: -1885572*h**2 + 18*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -13 (b) -1\/71172 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3005 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.392579 days in milliseconds?\nAnswer: 465918825.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 410, 55, -8 in ascending order.\nAnswer: -8, 55, 410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let n(y) be the second derivative of 21*y + 11\/6*y**3 + 0 + 3\/2*y**2. What is n(j(x))?\nAnswer: 11*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47117, 375727, 1267631, 3004475, 5867905, 10139567, 16101107, 24034171?\n\"Answer: 46941*l**3 + l**2 + 20*l + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 150*m + 152*m - 64, -m - 32 = -2*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u. Let o(i) = -1. Let h(m) = 10*o(m) - 2*y(m). Is 9 a factor of h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*d**3 + 3*d - 2*d**2 + 0*d**3 + d**3 in the form y*d**2 + m + n*d + p*d**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 - 2505*k**2 - 169473*k\/2 - 719032.\nAnswer: -(k + 17)**2*(k + 4976)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1474 (b) -5 (c) -0.06 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/147 and 61\/12?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4 + 35. What is the greatest common divisor of 156 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 10*i**4 - 267*i**5 + 266*i**5 + i**4 + 32*i**4 + 38*i wrt i.\nAnswer: -20*i**3 + 516*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/34263306 and -107\/18585.\nAnswer: 171316530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65881?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65312339867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2 + 2 - b - 2 + 2 + (-2 - 2*b + 2)*(-2 - 3 + 3) + 2*b - b + 0*b)*(10 - 34 - 4).\nAnswer: -84*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*b + 573 = 111*b. Let h(g) be the second derivative of 0 + 0*g**2 - 1\/6*g**4 + 0*g**b - 15*g. Let l(f) = 7*f. Determine l(h(n)).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12870 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 19*w**2 + 4*w**3 + 1337 - 3*w**3 + 13*w - 1352. What is the units digit of c(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25450 (base 8) to base 13\nAnswer: -504b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3 - 6115*y**2 - 38962672*y - 45593510876 = 0. What is y?\nAnswer: -2102, 10319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-68))\/((315\/120)\/(9\/2)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 26*h**2 - 30*h - 63. Let c be y(-27). Let z be (-1 + (-6)\/(-4))*c. Is z >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 11*d - 43. Suppose -35*h = -36*h - 4 + 1. Calculate l(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**4 + 1820334*x**3 - 1104500394192*x**2 + 223356851065110610*x + 14075865834351325137 = 0.\nAnswer: -63, 606799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/14 in -3, -2, -19, 0.054, 2\/3, 0.4?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at least 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105208?\nAnswer: 2, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 6. Let n = v + 13. Let d = -0.1 - -0.6. Which is the closest to -0.1? (a) n (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 f when four letters picked without replacement from nbgfmfnmfmgfvb.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1 + 5 + 4 - 3*q + 0. Let p be (-11 - 4\/(-4))*5\/(-10). Let h(a) = a - 5. Let z(j) = p*h(j) + 2*y(j). Find the first derivative of z(d) wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/12 and 21\/166064.\nAnswer: 498192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -8.3. Let f = -1.2 - -1. Let a = 23 - 27. What is the third smallest value in n, f, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 605134, 605116, 605096, 605074, 605050, 605024, 604996?\nAnswer: 604966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 289\/((-4)\/((-12)\/3)). Let v be i\/(-119) + 6\/14. Suppose 0*h = -4*h - 12. Which is smaller: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*x - 3*x**4 + 7*x**4 - x + 0*x wrt x.\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 1\/571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {s: 3, a: 9}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*2\/(-6)*-1. Suppose -2*b - 8 = q, 6 = 4*d - 2*b - 6. Let r = -1 + d. Solve 4*o + 0*o + 12 = r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6691, -6686, -6681, -6676, -6671?\n\"Answer: 5*x - 6696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -665 + 599 = -22*s. Solve -41 = s*p - 5*j - 63, 0 = -4*p + 2*j + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + -6*25\/(-45). Which is greater: -2\/75 or o?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57.748 * 0.04.\nAnswer: 2.30992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 271, 272, 273?\n\"Answer: a + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*6\/14?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 - 208*q + 210*q - q**4 + 548*q**3 - 650*q**3 - 5*q**2 in the form v*q**2 + o*q**4 + i*q + p + g*q**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 9:42 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565 = -5*v + 60. Let t = v + 228. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 19, s: 1}. Give prob of picking 2 b.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 559 + -354. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 450 divided by 18\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5414482607 + 0.007\nAnswer: 5414482607.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1)*b*b**(-8)*b\/(b\/b**9)*b**(1\/4)\/b)\/((b\/(b\/(b*b**7)))\/b*b*b\/(b*(b**(3\/4)*b)\/b*b*b)*b*b*(b\/(b**(-2)*b))**43) assuming b is positive.\nAnswer: b**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16484 or -2\/3?\nAnswer: -16484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 6*l**2 - 10*l - 7. Is 11 a factor of a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 12:15 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*t - 128475, 242*t = 244*t - 4*l - 51406. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 11 = 3*s, -4*m + 26*s - 25*s + 15 = 0. Put 11, -4, -5, -3, m in decreasing order.\nAnswer: 11, m, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -41.7, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 639 + -627. Suppose -6 = c*h - 198. Solve -h = 10*v - 14*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, p: 6, o: 4, t: 3, d: 1}. What is prob of picking 1 d, 2 p, and 1 y?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/9 (b) -1869 (c) -0.5 (d) -4 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -881*r**2 - 2*r + 2. Let f(w) = 2*w. Calculate b(f(l)).\nAnswer: -3524*l**2 - 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/27)\/(v\/(v\/(v**(-2\/75)*v))))**28)**(-5\/8) assuming v is positive.\nAnswer: v**(2387\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 1\/1)*-6. Let t be (-4)\/p + (-3)\/(-45). Let h = -2915.4 + 2915. Put 1, t, h in increasing order.\nAnswer: t, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99.47 - 101. Let s = p - -0.03. Sort 1\/3, -1\/6, s in decreasing order.\nAnswer: 1\/3, -1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 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 -6*(-4 + (((1*sqrt(418))\/sqrt(11))\/(-2*sqrt(8) + sqrt(2)))**2*5).\nAnswer: -118\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37435.5t to nanograms.\nAnswer: 37435500000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -443, -1257, -2761, -5273, -9111, -14593, -22037?\n\"Answer: -53*s**3 - 27*s**2 - 362*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + 3*sqrt(175) + 4 + sqrt(21)\/sqrt(3).\nAnswer: 4 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + 2*q**3 - 5*q**3 - 2*q**3 - q + q + (-5*q + 4*q + 3*q)*(4*q**2 - 2*q**2 - q**2) - 3*q**3 - q**3 + 5*q**3 + 1 - 2*q**3 - 1 - 3 + 2*q**3 + 3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 70*x**2 + 74*x + 28. What is a(-36)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873 is divided by ((-1)\/(-4)*34*-10)\/(57\/(-285)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-5602.8\nAnswer: -1680.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -80*(728\/(-65) + 11). Let x(p) be the second derivative of 0 - 11\/12*p**4 + 0*p**2 - z*p + 0*p**3. Let t(r) = 3*r**2. Calculate t(x(w)).\nAnswer: 363*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 4*g + 7. Let m(h) = -h**3 - 6*h**2 + h + 1. Let i be m(-6). List the prime factors of u(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -307018316 to the nearest one million.\nAnswer: -307000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84366761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.69140474 rounded to one decimal place?\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 + 21*t**2 + 15*t**2 - 1 - 36*t**2 to the form i*t + y + w*t**3 + h*t**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 833012945 to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6575 divided by 3?\nAnswer: 6575\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(sqrt(1089)*-2))\/(((sqrt(32)*-1)\/sqrt(8) + sqrt(4) + sqrt(4))*5))**2.\nAnswer: 1\/2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 6. Let a = 7.6 + c. Let b = 2 - 2.2. What is the third biggest value in 4, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 31*f + 181. Give w(27).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180278569 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48397.709 rounded to the nearest 100?\nAnswer: 48400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48 and 51.9?\nAnswer: -2491.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**6\/600 - 4*q**5\/75 - 13*q**4\/30 - 8*q**3\/5 - 65*q**2. Determine k so that z(k) = 0.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2003 - 3651 + 1416*s**3 - 2688 + 869*s**3 wrt s.\nAnswer: 6855*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*d**3*n**2 + 5*d**3*n + d**2*n - n wrt n?\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2. Let j(c) = -263592*c. What is j(h(w))?\nAnswer: 527184*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -12*i + 310. Give n(27).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5321 or 10\/987?\nAnswer: 10\/987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*u = 3*g, -3*g - u + 10 = 0. Suppose -35 + 15 = -4*n, -c + 194 = -g*n. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 353 + -337. Calculate the remainder when 36 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14124 + 1?\nAnswer: -14123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -323*g - 1288. Let d be z(-4). Solve 7 - d = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121 + 119. Let x(u) be the first derivative of 5*u**3\/3 + 8*u**2 - 16*u + 1. Let h(t) = -t**2 - 3*t + 3. Determine i*x(r) - 11*h(r).\nAnswer: r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-96) - 58\/(-12). Solve 2*z - 5*d - 16 = 0, -4*z + 10 = -p*z - 2*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13150 + 13169. Solve 3*p = 10*n - 13*n - 9, -4*p = -3*n + m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.27 - 5.27. Let u = -24 - -24.23. Let b = -0.77 - u. What is the second smallest value in w, b, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 + 75 = 2*o. Solve 5*j - 3*r = -3, -3*j - 2*r = -7*r - o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + (-78 - -62) + 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3*g + 21 = 0, 3*f + 1 = 4*g - 6*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b - 1. Let t be d(2). Find g, given that 13*g**2 - 3*g**2 + 9*g**t - 2*g**2 - 8 + g**4 - 9*g - g**2 = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310\/(-120)*920\/(-185380).\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3596 divided by -31?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/6)\/((-7560)\/2016)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -446 divided by 5\nAnswer: -446\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.45 and -1.\nAnswer: -4.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 28000.\nAnswer: 336000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1920993 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 11*z + 63. Let r be a(-15). Suppose -5*k = -0*b + b, -16 = -b + r*k. Solve i - 3*w = 7, -w - b = 2*i + w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/32 and 103\/192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -171*p - 1361. Let m be x(-8). Solve 24*d = m*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, q: 5, r: 7, k: 2}. Give prob of picking 2 r and 1 k.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -15\/2, 5\/4, -1\/278?\nAnswer: -1\/278","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*h = -s - 1067, 792 = 3*s + 5*h. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + -34 + 36\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*3\/(-3)*1. Which is the second smallest value? (a) z (b) -3\/8 (c) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b - 2. Let s(i) = -2*i**3 - 5*i**2 + 10*i + 3. Let w(u) = -u**3 - u**2 + 2*u + 1. Let r(y) = s(y) - 6*w(y). Let l be r(-1). Determine m(l).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 721, 5, 0 in ascending order.\nAnswer: 0, 5, 721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -666 + 951. Let t = h - 286.018. Let m = -0.018 - t. What is the second smallest value in m, -6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/10)\/((-381)\/635)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1039 and 7510931.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 23966?\nAnswer: 2\/11983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 4*u - 28, 4*n = 5*u - 932 + 923 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1853, -4397, -6945, -9497, -12053, -14613, -17177?\n\"Answer: -2*g**2 - 2538*g + 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -40957 from -15088.\nAnswer: 25869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y**3 - 11*y**2 + 5*y + 8. Let i(h) = 5*h**3 - 10*h**2 + 4*h + 8. Let k(c) = 5*i(c) - 4*w(c). Give k(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-3)*(-9)\/(-4). Suppose 5*k + 4 = -5*s + 14, 10 = 5*s - 2*k. Solve -m - 5*y = 3*m - 10, 2*y - w = -s*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12600, -25141, -37684, -50229, -62776, -75325, -87876?\nAnswer: -100429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1\/46, 20, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 122 = 120. Let t = p + 170. Suppose 5*k - 4*k - 5*n - 164 = 0, -3*k = n - t. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -15. Let i be 0 - (-2 - -4 - 3). Let x = -0.43 - -0.03. Which is the closest to i? (a) x (b) m (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**4\/4 - 2*k**3\/3 - k**2 - k. Suppose -76*m = 53*m + 258. Give z(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*t**4 - 2596*a*t**3 - 840418096*a*t**2 - 311*t**6 wrt t.\nAnswer: 48*a*t - 15576*a - 37320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-12))\/(1 + -2). Let u = -6 - -6. Let x = u - -0.1. Sort x, -3, a in descending order.\nAnswer: x, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28634, 57191, 85746, 114299, 142850, 171399?\n\"Answer: -n**2 + 28560*n + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/23 - 77\/46. Suppose 0 = -3*q - 11 + 41. Let g = q + -14. What is the second biggest value in -0.2, i, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**8\/560 + a**7\/35 + a**6\/8 - 140*a**2 - 1. Find w, given that p(w) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + c - 1. Let d be b(-2). Find the first derivative of -d*m + 0 + m + 4 wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 35 = -5*h. Solve 5 = 4*x - h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-36)*(19 - 35)*15\/70*-273.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 3, 3\/2, -8\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - (sqrt(495)*2 - sqrt(495)))\/(5*sqrt(35)\/sqrt(7)) + 3)*-4.\nAnswer: -12 + 8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*j**2 - 10*j**6 - 6*j**6 - 2*j**6 + 5*j**2 wrt j?\nAnswer: -2160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 28092528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 4*v**3 + 0*v**3)*(v - 2*v**2 - v) - 253*v**3 + 19*v**5 + 253*v**3.\nAnswer: 23*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4762, 9511, 14248, 18967, 23662, 28327?\n\"Answer: -x**3 + 4756*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((3 - 1)\/18)\/(19\/57). Let h be (1 + -2)\/(3\/15). Let y be (-1 + (-7)\/h)\/1. What is the closest to y in -1\/7, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d + 42. Calculate k(52).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1439*o - 59358 = 20179 + 10108 + 1012 for o.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 517316091?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001919531143 to 6 decimal places.\nAnswer: 0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 56*j**2 - 17*j - 23. Let n(a) = 9*a**2 + a. Determine i(y) - 6*n(y).\nAnswer: 2*y**2 - 23*y - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 41. Let d(f) = f**2 - 5*f - 19. Let j be d(8). Suppose o - j*o = -r. Solve -1 = -o*n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 164.55\nAnswer: -32.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 802537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39998 - -40458. Calculate the least common multiple of 5290 and i.\nAnswer: 10580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4) + 3 + 5)*3 - (sqrt(825)*-2)\/(sqrt(396) - sqrt(396)*2).\nAnswer: 4*sqrt(3)\/3 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3297 is divided by 98?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015 times -103.326?\nAnswer: 1.54989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t**3 + 181*t - 1141*t + 182*t + 408*t + 182*t + 188*t.\nAnswer: 22*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51948852 by 6.\nAnswer: 8658142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 0.1838?\nAnswer: 0.1838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.44 + 2.34. Let q = -2 + l. Let j = -4.1 - q. Which is the nearest to 0.2? (a) j (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (27 - 46) - ((5 - 10) + -2)) + -11\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3705\/(-117) - -31)*(-15)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 237683 - 23768423\/100. What is the common denominator of d and 1 - (2 + (-162)\/380)?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.041 (b) 2 (c) 0.4 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08 + -0.11. Let m = c + 0.05. Let r = -1.49 + 1.39. Which is bigger: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/3454 and 49\/66.\nAnswer: 10362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/7 + 423447*k**2\/7 - 3387432*k\/7 + 967824.\nAnswer: -3*(k - 141141)*(k - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1721, -3520, -5399, -7358?\nAnswer: -9397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - -4) + (-15 - -58) + -57.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-11)*i*(i*i**11\/i)\/i*i)\/(i*i**(-12)*i\/i**(-12)))**(-4))**(1\/8) assuming i is positive.\nAnswer: sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-6 - (-3 + (-8 - 1)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.26, 0, 9, 28, 0.5?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**2 - 13*x - 10. Let n be g(-8). Let z be (-2)\/((-84)\/n) + 6\/42. Is z less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3258 + 3256. Which is smaller: -67\/24 or m?\nAnswer: -67\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2077, -4175, -6273?\nAnswer: -8371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-52))\/((-21595)\/(-80210))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9841 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 11:23 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 7 - (0 + 5 + -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14, -28, -44, -62, -82?\n\"Answer: -m**2 - 11*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143683642*m**5 - 630212998*m.\nAnswer: -2873672840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/135? (a) -0.3 (b) 5 (c) -803 (d) -4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from evvvvve?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -35 + 51. What is the remainder when 39 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 5*f**6\/6 + 10*f**5 + 85*f**4\/2 + 260*f**3\/3 + 185*f**2\/2 + 50*f + 5894. Find b such that r(b) = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 767\/47844 + -3\/443. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 17?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 2*n**2 - 4*n. Let q = 84 + -87. Let k be r(q). Let d(j) = -j. Let v(l) = l**2 - 8*l + 4. Let u(x) = -2*d(x) + v(x). Determine u(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*f**3*x**3*z**3 + 68*f**3*z**2 + f**2*x*z**3 - 7*f*x**3*z**3 - x*z wrt x?\nAnswer: -228*f**3*x*z**3 - 42*f*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28 - 3952\/133)*(-21)\/(-2). What is the nearest to 2\/3 in 2\/3, -0.4, -5, k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96157991 + 2*g**3 - 32052662 - 32052670 - 32052659.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**3 + 5*b. Suppose -6 - 2 = -2*l. Let g(v) = 5*v - 3*v - v**3 - 3*v**3 + l*v. Let h = 10 - 15. Give h*g(a) + 6*j(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**6\/120 - 13*m**5\/60 - m**4\/24 + 8*m**3\/3 - 72*m**2. Let n be l(13). Solve -12 = -5*u + q, 3*q + q - 21 = -n*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3406 and 63404?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 27, 51, 6\/13, -8\/51?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291700?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2 - 43. Let y be (-2)\/3 - 1490\/(-30). Suppose j*d = y*d - 284. What are the prime factors of d?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -6*t + 19. Let m(p) be the third derivative of 0 - 4*p**2 + 0*p**t + 0*p + 1\/60*p**5 - 5\/24*p**4. What is the second derivative of m(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 35.99. Which is the fourth biggest value? (a) w (b) -5 (c) 0.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 6 + 2, -260 = -3*j + 5*b. What is the remainder when j is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1139 - 1195 - (1 - 12).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 33 = 5*t - 3*r, 3*t - 3*r + 21 = 0. Suppose 19 = -5*p + 2*a, 2*p + 7 = 2*a - 3. Let z = p - t. Solve -z*c - f - 6 = 0, 0*c + 2*c - f + 10 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -88, -187, -320, -505, -760, -1103, -1552?\n\"Answer: -3*o**3 + o**2 - 81*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 10*c - 19. Let g be v(12). What is the greatest common factor of 35 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (213648\/18 - -2)\/((-2)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.01 (b) -10 (c) -2\/5 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 24558589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11 + -0.01. Let n = w - -0.4. Let i = -67 + 66. Put -0.1, n, i in increasing order.\nAnswer: i, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 759001\/91674 + -8\/5093. Calculate the common denominator of -71\/28 and v.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/45? (a) 4 (b) 2\/3 (c) -3\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 2*a**2 - a + 9. Let j be d(-2). Let c(s) = 2*s**2 + 5*s + 6. Give c(j).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*(2 - (-132)\/9). Let x(a) be the third derivative of -a**5\/60 - 13*a**4\/24 - 7*a**3\/6 + 10*a**2. Let g be x(-12). Solve p = -0*t + g*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163338\/11 less than or equal to 14850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 527 divide 2144363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from kbbzloko?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**2 + 51*p + 26. Let n be f(-8). Solve 5*j = -2 + 12, -3*x - n*j - 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315, -270, -227, -186, -147, -110?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 1107 + 1939. Suppose -7*j + r = -178. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 5*k + 10, k = -4*p + 1 + 3. Suppose 10 = p*w + 4. Solve w*r = -3, 0 = 5*q - 0*r - 4*r - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, -48, 1.7, 0 in decreasing order.\nAnswer: 6, 1.7, 0, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114 + -238. Let w = 353 + l. Let k = -6 + 0. What is the nearest to w in k, 0.2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3528 and 630?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 7:01 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2077935338?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -18. List the prime factors of 2\/(-9) - 83\/y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4\/9, -7\/3, 1\/3, -40\/7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -15*k - 50. Let p be (-18)\/24*(-8)\/k*-5. Which is the closest to p? (a) -2 (b) 3 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -42, 1\/4, -0.1, -0.2, -1\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*d = -80*d - 87. What is the tens digit of (-2 - 2 - d) + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-6))\/(4 - (-28)\/(-8)). Put r, -18, -5 in decreasing order.\nAnswer: r, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/40 and -27\/260.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -4571*g**3\/2 - 13*g**2\/2 - 123*g. Let b be v(-1). Round b to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(1700) - sqrt(1700))**2*5*-1 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 720 - 511. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 950156 and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*s + 2798, 3373 + 1261 = 5*s - r. Determine f so that -s - 64*f**2 + f**4 + 3*f**4 + 926 - 4*f**3 - 80*f = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 + 2 - 2 + 3*o - 6*o**2 - 2. Calculate l(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 3*m + 78, -m = 2*v - 5*m + 34 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1039, -1043, -1047, -1051?\n\"Answer: -4*l - 1035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 15. Let k = 2 + 27. Calculate the remainder when k is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7019314 divided by -3.\nAnswer: -7019314\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -13 + 3 - -8) + -11 + (-57 - -19).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -2*y + 20, 5*y = 14*z - 17*z + 31 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19182741103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -8*v**2 - v - 2. Let b = -2 + 1. Let w be o(b). Which is bigger: w or -10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -2. Let j = x - -9. Sort -2\/17, j, 0.1 in ascending order.\nAnswer: -2\/17, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 126, 4284 in ascending order.\nAnswer: -3, 126, 4284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 510, 509, 508, 507, 506?\n\"Answer: -r + 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2737*x**4 + 2*x**2 - 1360*x**4 + 3*x**5 + 11 - 1373*x**4 + 2*x**5 + 2*x**5 - 6*x**5 + (0 - x**4 + 0)*(6*x - 5*x + 2*x).\nAnswer: -2*x**5 + 4*x**4 + 2*x**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 + 11*k**2 - 3*k**3 - 4 - 2*k**2.\nAnswer: -3*(k - 2)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**3 + 3*z - 3. Let u be w(2). Let b be 598\/4 + (-9)\/(-18). Let n = u + b. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s + 1. Let n(q) = -21*q + 2. Calculate 11*l(x) - 4*n(x).\nAnswer: 7*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11307800 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 680?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 - 96*r + 35. Suppose 2*z = -z - 78. Is s(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9901 + 9895. Let b(t) = -6*t - 33. What is b(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23156 and 896.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l**2 + 176*l + 3771. Give g(-13).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from dczzcdzczzdzcddcdcd?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 1:54 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22*((-10)\/(-4) + -2). Let p(o) = 8 + 2 + l - 8*o + 11. Is p(-15) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 22. Let k be p(28). Let j be 89 + (-3)\/(k\/8). Let a = j - 84. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582752 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**3 + 28*m**2 - 24*m - 32. Let u be c(-7). Solve -10*l = u - 176 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -4 (c) -69 (d) -666\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.25 + 0.25000026. Round t to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-475)*5*-1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9590550 and 220.\nAnswer: 210992100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 370833890 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4011983 and 2174?\nAnswer: 2174.4011983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 587dab (base 14) in base 4?\nAnswer: 23200321303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4*o**4 - 1\/4*o - 3\/4*o**3 + 0 - 3\/4*o**2 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 20, 2*u - 5*k = -6*k + 11. Let b be 38\/u + (-12)\/16. Solve -3*i = y + 6, 4*y = -i - b*i - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85769 and 796?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3244960 and 48?\nAnswer: 9734880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 3*y**2 + 4*y + 5. Let i be h(4). Suppose 12 + 10 = -3*w - i*m, -w = -5*m - 26. Let l(a) = 89*a**3 - 2*a**2 + 2*a. Is l(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 1.12\nAnswer: 4.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**2 - 16*v - 48 = 0?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -4 - (23 - 17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, -4, 4, -0.307, -3?\nAnswer: -0.307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -953.97 + 950. Let q = h - 0.03. Let z = 3.19 - 0.19. What is the second biggest value in q, 1\/5, z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1231*g**2*w + 110*g**2 wrt w?\nAnswer: 1231*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66509786?\nAnswer: 2, 7, 4750699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + (-1 - -3) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.91355468 to 2 dps.\nAnswer: 11.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 0.5, -30, 115\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 + -53. What is the remainder when q is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38339393 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 7*w + 6. Let o be (w - 988\/8)*(1 + 1). Let u be (-40)\/(-70) + o\/7. Which is smaller: u or -32?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 34755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (21 + -19)*(1\/(-2) + 2). Suppose -3*w - w + 228 = 0. Suppose 0*h - z*h + w = 0. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 412, 1664, 3762, 6712, 10520, 15192, 20734?\nAnswer: 27152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 37. What is the least common multiple of o and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3488961\/94 or -37118?\nAnswer: -3488961\/94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -7*m**2\/2 + 6*m + 1. Let h(j) = -j**3 - j**2 + 4*j - 3. Let r be h(2). Is o(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -1\/24, 4, 2, -3, -24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6936*i**2 - 3845*i**2 - 3575*i**2 to n*i + w*i**2 + p and give w.\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)*2 + sqrt(15)\/(-1*sqrt(5)) + (sqrt(216)\/(sqrt(12)*-1))\/((sqrt(72) - 2*sqrt(72))\/sqrt(12)).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -2. Which is the closest to -0.1? (a) 0 (b) w (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -23*g - 150. Let f be o(-7). Suppose -f*p - 15*p = 8970000. Round p to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3365*o - 678*o + 146042 = -134626 + 33464 for o.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2779?\nAnswer: 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than or equal to -24.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abccpcccppabpppcpppp. Give prob of sequence aa.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 8828.\nAnswer: 17656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i + 10. Solve 0 = -4*f - 4*u - 8, -2*f - 2*f + 4 = -i*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649.\nAnswer: 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 609*t**2 + 0 - 228*t**2 - 201*t**2 - 3 + 3 - 188*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3763382\/45 - -83626. Let v = 46\/9 + s. Let z = -1.98 - 0.02. Which is the closest to 1? (a) -2\/9 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h - h**3 + 1 - 6*h**2 - 3*h + 2*h**3 + 6*h - 4. Determine s(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*v - 4*u, -3*u = -0*v + 3*v - 30. What is the highest common divisor of v and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**5\/30 - 5*y**4\/8 + 5*y**3\/6 + 3*y**2 + 9. Let g(j) be the second derivative of z(j). Is g(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, z: 5, d: 1, x: 2, k: 5, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 157590060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328 is divided by 178?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + t + 1. Suppose 0 = 5*m - 10, -2*y + 2*m = -3*y + 66. Let i = -62 + y. Calculate z(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18805.8 + 18715. Which is the closest to -0.2? (a) -4 (b) -5 (c) u (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140636 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(70) - sqrt(70))\/sqrt(2) - sqrt(35))\/(-2*-3*sqrt(5)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3432946 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 46 = b. What is the remainder when b is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 19. Let s = 12 + -11. Let m = s + k. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -9*a + 175, 31*p + 99 = 28*p + 4*a + 26 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -6 + 6 - 16) + 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u - 2. Let i be k(-2). Let o = -12 - i. Let d(l) = -l**3 - 6*l**2 + 7*l + 1. Let s be d(-7). Solve -o*n = -5*b + 2, -8*b - n - s = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*u, 4*c - 23 = -u + 9. Suppose -c*m + 3062 = -1123. Is 27 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdxfqfiq. Give prob of picking 1 f and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 4, w: 1, z: 3, p: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 2131)*(-7)\/(-35)*-5. Is o\/(-2) + (-9)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*0*2\/(-2). Let y = i + 4. Differentiate -4 + 2 - 1 - 2*u**y with respect to u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -308891261635.\nAnswer: 308891261634.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 13) in base 9?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202012 (base 3) to base 7.\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/11)\/(x**(-14\/11)\/x))\/(x**(4\/19)\/(x\/(x*((x*x\/((x\/((x**(-1\/9)*x)\/x))\/x))\/x)\/x*x))) assuming x is positive.\nAnswer: x**(1352\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - 18 - 13 - (7 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from umicw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/5*m**2 - 32\/5 + 36\/5*m = 0. Calculate m.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-29)*k*k**(-32)*k)\/(k\/(k*k**(-18)))**38)**(10\/17) assuming k is positive.\nAnswer: k**(-6840\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259, -1609, -4047, -7567, -12163, -17829, -24559, -32347?\nAnswer: -41187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k - 3. Let s = 5 - 2. Let q be y(s). Find the common denominator of 31\/22 and (2\/q)\/(10\/1365).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1368 divided by 9?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.4845g in tonnes?\nAnswer: 0.0000894845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in centuries?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 2. Let q = -7 + 12. Let u be (-1)\/1*(q - 5). Sort t, 4, u in decreasing order.\nAnswer: 4, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016458 to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8 - 580\/(-85))\/(-2) and 61\/14.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1. Let k(s) = -2*s - 5. Suppose -7*m = -58 + 16. Suppose -2 + 5 = 3*a. Determine a*k(l) + m*j(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -16. List the prime factors of (b\/6)\/(1\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43661087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3 - 0. Suppose -2*g - 33 = -3*g. Calculate the highest common factor of g and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1624206 and 510.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3718140 to the nearest ten thousand.\nAnswer: 3720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/6 - 7\/(-6)) + -5. What is the remainder when ((-3)\/(-3))\/((-2)\/(-12)) is divided by 24\/3*(87\/(-24) - m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7319*v**2 - 12310*v + 12310*v.\nAnswer: 7319*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 + -1.1. Let l(t) = -t**3 - t**2 - t - 4. Let d be l(0). Let k = 13.8 + -14. What is the closest to -2\/5 in d, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 11*u - 12. Let f be n(12). Let s(k) = -2*k**3 - 2*k**2 - 3*k. Let t be s(-3). Let c = t + f. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13910478 to the power of 1\/3, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2. Let p(w) = -401*w**2. What is a(p(b))?\nAnswer: -321602*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 11*a**2 - 28*a - 22. Let i be p(-13). Let w = 6 - i. Let k(j) = -3*j**3 + 2*j**2 + 2*j. Let g be k(w). Are -13 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2)\/((-4)\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11518.5 millennia?\nAnswer: 115185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - (-9)\/1 - 4. Solve a = 2*l - 3*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 5*m + 30, -2*m + 2*m = 5*m - 4*g + 23 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -9*l + 36*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92\/2*(-12 + (-5096)\/(-16))?\nAnswer: 23, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -2*f**5\/5 - 21*f**2 - 9. Let t(i) = 14*i**2. Calculate x(t(w)).\nAnswer: -4704*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 96583032499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*r**2\/5 + 1167752*r\/5 + 42464.\nAnswer: -4*(r - 26540)*(11*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -18, 0.3, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -263 - -257. Let u(c) = c + 6. Calculate u(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s - 5*a + 786926, -5*s + 3*a = -1967377. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12456482237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-1*sqrt(2))**2 - sqrt(2)) + 0) + sqrt(24)\/(4*sqrt(432)).\nAnswer: -47*sqrt(2)\/24 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-88 + 2) + 1. What is the highest common factor of j and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*y - 164*y - 1992 = 0 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15\/2 + -8. Let m = 9\/79 + -16687\/158. Let j = 103 + m. Which is the smallest value? (a) j (b) -0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s*s*s**12)\/s)\/(s*s\/((s**(9\/5)\/s)\/s)))**(-44))**(14\/5) assuming s is positive.\nAnswer: s**(-36344\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1600\/(-38))\/(-1) + ((-2280)\/7942 - 4\/(-22)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -13*o**2 - 4*o + 5*o - o. Let d(b) = -9*b - 45. Let g(v) = -3*v - 20. Let r(t) = 4*d(t) - 9*g(t). Give c(r(n)).\nAnswer: -1053*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -16000*w + 31997*w - 15999*w. Let u(g) be the first derivative of 14*g**2 + 2. Calculate z(u(q)).\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 52*f**2 + f - 5. Let l be h(-3). Suppose 4*o - l = -v, -5*v - 7 - 338 = -3*o. Which is smaller: 114 or o?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40774 is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 + -26 + 104 + -14.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 594?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 119956.8867 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**8*x*x*x*x**4*x)\/(x\/((x*x\/(x**(1\/10)\/x))\/x)*x*x**(2\/9))*(((x*x**0*x)\/x)**(-18))**7 assuming x is positive.\nAnswer: x**(-9839\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 741\/(-247)*1\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221 - 111200?\nAnswer: -102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2958262 = 107*y + 1032155. List the prime factors of y.\nAnswer: 47, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {d: 4, c: 2, m: 3, l: 3, z: 4}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321\/2 greater than 662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.8 + 15.2. Let n = 23 - o. Let y = 414 - 6208\/15. What is the closest to y in n, 5\/3, -4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/9, 0.1, -2\/47, 1\/4, -3\/5, -2\/45?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125 and 5952775?\nAnswer: 29763875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0367*-5.29.\nAnswer: -0.194143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzzfc. What is prob of picking 1 f, 1 c, and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 22. Let r(c) = c**2 - 9. List the prime factors of r(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -3) + (-7)\/(-4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4529049657.\nAnswer: 3, 11, 353, 388793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2\/8 + 1897*u\/8 - 1895\/4 = 0?\nAnswer: 2, 1895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2507440 is divided by 681?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 10. Let s be -1 + 6 - (-1 - -2). Which is the closest to -2\/7? (a) s (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(4\/19))\/((-128)\/(-768)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6754\/(-66) - 21440\/(-1005)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1110 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-3)\/(-9))\/((-12)\/36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - ((1 - 3) + -2 + -6 - (0 - 11)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 9:42 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 247 by 13.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - 5*(sqrt(3) + -2)) + (-2 + sqrt(3))*2.\nAnswer: -2*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -13*i + 6. Let y be ((-4)\/5)\/(12\/(-90)). Let j(k) = -37*k + 18. Let m(r) = y*j(r) - 17*o(r). Give m(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-87)\/(-116))\/(6\/(-40))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z**2 + 0 + 9*z**2 + 0 - 1 + 22*z.\nAnswer: 22*z**2 + 22*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(-21))\/((-6)\/(-9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425212992.\nAnswer: 2, 3, 738217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-63)\/(-147)*(3 + 2). Which is bigger: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11965096 < -11965069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*s - 48, 5*s - s - 4*c = 16. Let o = 79 + -74. What is the remainder when s is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 5. Let t be g(7). Suppose -3*j = -3 - t. Let s be (-2)\/(-12) + j\/15. What is the closest to 0 in 0.1, 1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)\/(n\/(n**2\/n)))\/((n*n*n\/(n*n**(-2\/25)))\/(n\/n**(-1\/4))))**38 assuming n is positive.\nAnswer: n**(-5377\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 37288629?\nAnswer: 37288629.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, b: 3, i: 7, m: 1, k: 6}. Give prob of picking 2 k and 1 m.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -552 = -9*d + 1149. Suppose 0 = -6*b + d - 45. Let m(f) = 1. Let q(r) = -8*r**2 - 24. Calculate b*m(t) + q(t).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3))**31)**(3\/4)\/((x**(3\/5)*x)\/((x\/x**(-1\/9))\/x))**10 assuming x is positive.\nAnswer: x**(-547\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 15*j - 13. Let p(y) = -7*y + 6. Let t(r) = 13*p(r) + 6*z(r). Let o(c) = -4*c + 9. Let l(b) = 4*b - 12. Let i(h) = 3*l(h) + 4*o(h). Calculate t(i(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106 + 256. Let s be (-3 + -19)\/(r\/(-9)). Let v = -2293\/1775 + s. Which is smaller: 1\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 8*p**2 - 125*p - 818. Give o(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5578?\nAnswer: 2, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 + 18*v - 24. Give j(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4, 1, 14, 41, 88, 161, 266?\n\"Answer: h**3 - 2*h**2 + 4*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 229 - 43 + 37 - 16*w - 4*w.\nAnswer: -20*w + 280","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p + 11*p**2 + 37*p**3 - 26*p**3 + 3*p - 9*p**3 to the form g*p**3 + k*p + t + n*p**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*k**3 + 0*k**3 + k**3 + 3*k**3 + 0*k - 2*k**3 + k + (1 - 1 + 3*k)*(3*k - k**2 - 3*k) in the form b*k + y + p*k**2 + g*k**3 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 112\/3 (b) -3 (c) 5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b - b)*(b**3 + 0*b**3 + 0*b**3) - b**4 - b**4 + b**4 + 58*b**4 - 54*b**4 - 4*b + 3*b.\nAnswer: b**4 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -63*b + 10. Suppose -4*g = -3*f - 2, -4*g + 2*f + 3 = -1. Let n be y(g). Let o = 301 + n. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 15*d - 30. Let f be i(12). Solve 5*s + 35 = -5*o, f*o = o + s - 23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 1\/(2\/6)*860\/60.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2. Let p(n) = -78*n - 8. Let u(y) = -y + 1. Let r(h) = -p(h) - 8*u(h). What is k(r(a))?\nAnswer: -14792*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 42, 52 in increasing order.\nAnswer: -3, 42, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 9*i - 86 = 28. Solve 26*d - i*d - 217 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-8)*-3*2. Suppose n*m + m - 16 = 0. Is (2 + m)\/(-3) - -71 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2038319952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2602277 to the power of 1\/2, to the nearest integer?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43.8 * -352.\nAnswer: -15417.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 109*c - 2875. Calculate q(-63).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 6*h + 5. Let n be t(-6). Suppose -3*p + 5*f + 9 = 0, 0 = 2*p + n*f - 24 - 7. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 8*g**2 + 15*g - 8. Let m = 1051 + -1046. Give l(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/6 - 22\/(-4). Let i = v + 15. Let o = i - 14. Calculate the remainder when 12 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y**3\/9 - 317678*y**2\/3 - 7982734*y\/9 - 953168\/3 = 0 for y.\nAnswer: -8, -3\/8, 59573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -14*w + 251. Let q be y(16). Solve -5*u + q = -3*h, -14 + 4 = h - 2*u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 145302.2 centimeters?\nAnswer: 1453022000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*d**3*q - 13*d**2*q - 5*d*q - 39*d - 2*q wrt d.\nAnswer: -96*d*q - 26*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from ephhhphdheehbhebb.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991125 a multiple of 957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14813639*o**5 + 3218*o**2 + 12*o + 72.\nAnswer: -888818340*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -996 divided by -24\nAnswer: 83\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 219396800 to the nearest 1000000.\nAnswer: 219000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 931652 divided by 232913.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u. Let d(c) = 24*c + 18*c - 23*c - c. Calculate w(d(l)).\nAnswer: 54*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 47 - 26 - (0 + -41 - -2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6125.4323 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.013 + -12105.\nAnswer: -12104.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-36) - 2197\/(-117). Suppose 48*h - 12383 = t*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 4*o + 8. Let z be n(6). Let h(j) = -j - 1. What is h(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 15. Suppose 3*q - 12185 = u*q + 5*s, -3*q + 3*s - 18309 = 0. What is q rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 + 79*s**3 + 329*s**2 + 249*s.\nAnswer: -s*(s - 83)*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -609. Let o = 6056\/11 + m. Calculate the common denominator of ((-3)\/2)\/(10\/270) and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/44163 and -61\/72?\nAnswer: 353304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-25)\/(-4)))\/((-3240)\/900)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119 + -117. Suppose -1105 = -t*l + 1409. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*z - 28 = 0, o + 3*z - 17 = -0*z. Suppose -o*s = -5*s + 177. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 168 + -168. Solve -4 = -p*h - h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.427 rounded to two dps?\nAnswer: 8.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -3 (c) 0.4 (d) -82 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71 and 116369.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 4*j - 5. Let v be l(-4). Let a(p) = -p**3 + 4*p**2 + 2*p - 4. Suppose 1 = -4*r + 17. Let n be a(r). Sort 3, n, v in descending order.\nAnswer: n, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 5:57 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (((sqrt(110)*1)\/sqrt(2))\/(sqrt(180)\/sqrt(9)))**2).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*s - 2, -10 = -2*g + 5*s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/2)\/(f\/((f*f**14)\/f)))\/(f**(-1\/9)*(f*f**(-21)*f)\/f) assuming f is positive.\nAnswer: f**(569\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125 - -106. Calculate the greatest common factor of s and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2038, 2039, 2040, 2041, 2042?\n\"Answer: v + 2037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8.69 times -0.5\nAnswer: 4.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000343 rounded to seven dps?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p + 24. Let o be r(6). Let v(m) be the first derivative of m**3\/3 + 27*m - 1. Let s be v(o). What is the greatest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9637637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)\/sqrt(3))\/sqrt(11))**2 + (sqrt(24)*-1 + sqrt(24))\/sqrt(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717608.\nAnswer: 2, 271, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4465, -16288, -35157, -61066, -94009, -133980, -180973?\nAnswer: -234982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - (-4 + 4 + -1)) + 3. Let o = -5 + 6. Suppose -3*d = -5*s + 3, 0 = s + d - 0*d + o. Solve -3*u = 3*j - s*u - 6, -z = -4*j + 2*u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m + 467 = -28. Solve -5*b + l - 26 = 3*l, 2*b + m = -l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 199*v + 614. Let n be o(2). Calculate the highest common divisor of 176 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2215 - -4431\/2. Let u(h) be the third derivative of 0*h - 1\/60*h**5 + a*h**3 + 1\/120*h**6 + 1\/24*h**4 - h**2 + 0. Calculate u(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1551794.\nAnswer: -1\/1551794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 408*s - 412.\nAnswer: 4*(s - 103)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t. Let r(u) = -3*u. Let n(x) = -4*j(x) - 3*r(x). Let o(l) be the third derivative of -1\/12*l**4 + 0*l**3 - 2*l**2 + 0 + 0*l. What is n(o(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 15*x**2 - 12*x - 10. Let q be v(16). Suppose q*w - 26 = 41*w. What is the closest to 2 in 0.5, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.430245 milligrams in grams?\nAnswer: 0.001430245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15.8 (b) 3\/7 (c) -0.527 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 10168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1282 at most 1236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -34.56. Let m = 1.44 - d. Which is the third smallest value? (a) 9 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/21)\/(564\/(-2961))*0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0 - 7\/12*s**4 + 0*s**3 - 6*s + 0*s**2 - 3\/5*s**5. Find the third derivative of b(z) wrt z.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**6\/40 + 13*q**5\/20 + 6*q**4 + 18*q**3 + 2*q**2 + 57. Suppose v(b) = 0. What is b?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2484815 = 3*g, -146*g = -141*g - 5*r - 4141300. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307 a factor of 6989836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1.2 (b) -6 (c) -4 (d) 8822\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28144351, 28144342, 28144333, 28144324?\n\"Answer: -9*x + 28144360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 86\/11, 0.4, 8 in ascending order.\nAnswer: 0.4, 1, 86\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -22. Let u(w) = -2*w**3 - 4*w**2 + 15*w + 30. Calculate the smallest common multiple of h and u(-4).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + v + 807 = 0, 4*h - 3234 = 33*v - 32*v. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4. Let u(l) = 3. Let p(g) = -2*d(g) + 3*u(g). Suppose -i - 3 = -1. Let h(n) = -2*n**2 + 2*n - 1. Give i*p(f) - h(f).\nAnswer: 2*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1735437 and -0.0547457?\nAnswer: 1735436.9452543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**7\/70 + 7*o**6\/10 - 53*o**5\/20 + 13*o**4\/4 + 1914*o**2. Let u(a) = 0. Calculate a.\nAnswer: 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 5*a + 4*w, 2113*a - 2109*a = 5*w + 26 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 165958974 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 12096658.\nAnswer: 1209665.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2684*n - 2686*n + 2 = 0, d - 2*n = 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 7 = g. Let x = 3 - g. Suppose 3*p + x = -5*q, -2*q - 14 = -0*p - 4*p. Put -3, p, -5 in decreasing order.\nAnswer: p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*((sqrt(242) - (2 + sqrt(242) + sqrt(242)) - (sqrt(2) + -2 + sqrt(32) + sqrt(2))) + 4)**2.\nAnswer: -1785 + 408*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10055 (base 10) to base 8.\nAnswer: 23507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 2*p**3 - 2*p**3)*(4 + p**2 - 4) + 0*p**5 + 0*p**5 - p**5 + 2*p**5 + 5 - 5 + 6*p**2 + 5*p**2 - 13*p**2 - 37*p**5 - 5*p**5 + 30*p - 30*p.\nAnswer: -39*p**5 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o - 2, 4*z = -4*o - 116. Let u be (1 - -2)*(-2 - 45\/z). Let s be (-1 - -1) + (-2)\/9. Which is bigger: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**4 + 5*g**3 - 118*g**2.\nAnswer: 48*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1874 - 482 = 6*h. Suppose -2*x + 28 + h = 0. Calculate the greatest common divisor of 50 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/(-5400)*-1052 - 2\/(-12) and 16\/55.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 7*x**2 - x + 4. Let b be q(-7). Let a = b + 16. Let n(l) = 31*l**2 - 16*l + 13. Calculate the remainder when n(2) is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_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 (sqrt(112)\/sqrt(32) + (sqrt(8064) - (1*sqrt(8064) + sqrt(8064))))\/((sqrt(200)*-2 - sqrt(200)) + sqrt(8) + (sqrt(8) + (sqrt(8) - sqrt(24)\/sqrt(3)))*1).\nAnswer: 47*sqrt(7)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 12:48 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shb when three letters picked without replacement from dhdddbddeswsdd.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 13) to base 12\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + 872*f**3 + 135 - 410*f**3 - 463*f**3 as h + w*f**3 + k*f + g*f**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide (-1)\/(((-70)\/(-16710))\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 24 + x - 9\/2*x**2. Determine d(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9*x**2 + 6*x - 3. Let f be h(5). Suppose 0 = 2*k + k - 5*n - 88, 4*n = 16. Calculate the greatest common factor of f and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.17809 millennia to years.\nAnswer: 85178.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -13*x**4\/16 + 97*x**3\/4 - 63*x**2 + x - 2613. Find k such that b(k) = 0.\nAnswer: 12\/13, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138*d - 153*d - 4*d)*(4*d + 5*d + 5*d).\nAnswer: -4130*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 326 + 38. What are the prime factors of s?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (222 + 11*l - 439 + 218)*(-l - 2 + 2) to k + o*l**2 + c*l and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 12:12 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((159\/(-14) - -2) + -5)\/3 and -75\/166.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 3*p**3 + 5*p**3 - 3*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*g)*(g**3 - 2*g**3 + 5*g**3) + 2*g**4 - 3*g**4 + 3*g**4 to l*g**3 + p + f*g**4 + h*g + u*g**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -1. Let g = 3 + l. Suppose 0 = -2*s + 3 - 11. Which is the biggest value? (a) s (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41380063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-804)\/(-871)*2340\/(-162).\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1111.1185*-1.\nAnswer: 1111.1185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffon when four letters picked without replacement from fontjfn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 9. Let u(f) = 10 - 3*f**2 - 9*f + 3*f**2 + 0*f**2 + f**2. What are the prime factors of u(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -16*b - 23*b - 571 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1*(1 - 2)*55\/275\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142459447?\nAnswer: 13, 23, 523, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*c + 115*c - 1060 = 70*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 2, -2, 12, 142, -142 in increasing order.\nAnswer: -142, -2, -1, 2, 3, 12, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - 17*t - 5. Let b be q(9). Is 18 a factor of (-1)\/(-4)*-6 + 726\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11140.5 - 0.3.\nAnswer: -11140.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**3*m**3*u - 685711*k**3*m*u - 81*k*m**3 + 9*k*m*u + 483*k*u + m**3*u wrt k.\nAnswer: -18*k*m**3*u - 4114266*k*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -942, -5, -2 in decreasing order.\nAnswer: -2, -5, -942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/29 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyowssynwofsfyon. Give prob of sequence syfs.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3 = 6. Let p = i + 13. Solve -v = -2*v - 4*r - p, 12 = -4*v - 4*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 148?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2665623 is divided by 177.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 264812023*m - 969706065 wrt m?\nAnswer: 264812023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3848 divide 124949831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 422772 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 11 + -10 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**3 - 5*i**2 - 3*i - 11. What are the prime factors of k(-4)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 5:18 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**5 - 3*q**2 - 3*q. Let r(j) = 5*j**5 - j**3 + 2*j**2 + 2*j. Let x(u) = 2*o(u) + 3*r(u). Factor x(h).\nAnswer: 3*h**3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2 - y + 7. Let l be i(-8). Let z be (-2)\/8 + l\/(-4). Suppose 0 = -4*r - 4*h - 16 + 96, -2*r - h + z = 0. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - g + 0*g + (2 - 2 - 2*g)*(0 + 1 + 0) + (0*g - 4*g + g)*(-5 + 3 + 0).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - l**4 - l**4 + (3*l - 4*l - l)*(0*l**3 - l**3 + 0*l**3) + (-1 - 2*l**3 + 0*l**3 + 0)*(-6*l + 5*l + 4*l).\nAnswer: -7*l**4 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(72) + 1)*1)**2.\nAnswer: 24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**5*y**2 - 13*i**5 + 6*i*y**2 + 56*i wrt i?\nAnswer: -40*i**3*y**2 - 260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 9. Let i be b(-9). Let w be 0 + 6\/(-63) + ((-67926)\/(-126) - 1). Suppose 5*r - 87 - w = i. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112020 (base 4) in base 12?\nAnswer: -3234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2691857?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 10*x. Let z(n) = 4*n**2 + 51*n. Let j(d) = -11*a(d) + 2*z(d). Let b be j(-3). Let q(s) = -4*s**2 - 2*s - 2. Calculate q(b).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 7 = 2*u + 17, -v + 2 = -2*u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/650 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by (-46)\/(-4) + (-3)\/6 - -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3 - 11*w + 12*w + 6. Suppose s - 49 = -4*s - t, -2*t - 2 = 0. Is 4 a factor of b(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 6) + -14 - (-4 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -47845963 at least as big as -47845963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 t when four letters picked without replacement from uutnunpnnnnnu?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 10:27 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 11:45 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053)*2*5.\nAnswer: 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69342247901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvuvvuvvuvvvuvvuvvv. Give prob of sequence uuv.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.82510951 rounded to 2 dps?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 20 = -5*i, 0*j = 3*i + j - 12. Solve h = i*h - 2*q + 15, -h = -5*q + 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-1 + 4)) + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bb6 (base 15) in base 2?\nAnswer: 1011110000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -138 (base 11) to base 3.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xsxxsuxuux.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 - 124. Let g = -61.2 - r. What is the nearest to -4 in 0.5, g, 2\/15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 11*y**2 + 1. Let q be (-1)\/3*(-10 + 13). Calculate i(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1161952000 to the nearest 1000000.\nAnswer: -1162000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 3 - 11 - 6*v**3 - 15.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*o**3 + 36051*o**2 - 5285415*o?\nAnswer: 354*o + 72102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700531796 is divided by 744.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5173 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) 6 (c) -0.4 (d) -6.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*a - 298 = -3148 - 1421 - 3448 for a.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 6:19 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/53, 9, 3\/5, -63, -2\/7.\nAnswer: -63, -2\/7, -2\/53, 3\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 116578783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zffuuffufzzz. What is prob of sequence zu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 2*t + 11. Let s be (-46 + 46)\/(2*1\/2). Is z(s) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5856 and 624466272?\nAnswer: 5856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138 and 85957578.\nAnswer: 85957578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10458537, -0.2, 0.01?\nAnswer: 10458537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyzyyz. What is prob of picking 2 y and 2 z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -197, -776, -1743, -3098?\n\"Answer: -194*z**2 + 3*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 + -3. Calculate the lowest common multiple of r and -3 - (-20 - (-5)\/5).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92708.45 centuries to decades.\nAnswer: 927084.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5846, 11616, 17382, 23144, 28902, 34656?\nAnswer: 40406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 88 = -122. Suppose -r + p = -0*r. Suppose 0*i - 3*i + r = 0. Calculate the smallest common multiple of 16 and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9324 (base 16) to base 8\nAnswer: 111444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/2 - ((-2)\/(-1) + -4). Suppose v*w - 5*t = 334, 2*w - 4*t = 4*w - 252. Is w a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(500) - (3 + sqrt(500) + -1)) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z - 475 = 465. Which is greater: -42 or z?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2472b (base 15) to base 8.\nAnswer: 343216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/504 and -95\/132.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -783626 by 4.\nAnswer: -391813\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.840847 + -12.\nAnswer: -13.840847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*u = -54*u - 12. Let n(m) = -6*m**2 - 4*m - 10. Let k(f) = 1. Let h(r) = -8*k(r) - n(r). What is the smallest common multiple of h(u) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**6\/120 + 89*f**4\/24 + 61*f**3\/6 - 116*f**2 - 3. What is the derivative of t(i) wrt i?\nAnswer: -3*i**2 + 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250, 3959, 14036, 33667, 66038?\nAnswer: 114335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(-408)\/476 - (1\/5)\/(18\/(-1455)).\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419132 divided by 14?\nAnswer: 29938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) -32 (c) 25279\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 q when four letters picked without replacement from {v: 3, o: 3, f: 1, q: 13}?\nAnswer: 286\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/17)\/((n\/n**(-14\/5))\/n))\/(n**7*n)**(-23) assuming n is positive.\nAnswer: n**(15412\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16195\/237)\/((1250\/60)\/25)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 8*b**2 - 2*b - 32. Let j be s(7). Let f(p) = 248*p + 13. Is f(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-39)*-2)\/((-508)\/127)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + (-5 - 0) - -9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94248738*x**4 - 253537865*x**2 wrt x.\nAnswer: 2261969712*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*i**2 + 26 + 680*i**2 - 26 + 187*i**2.\nAnswer: 1098*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 - 2) + -4 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 659447 to the power of 1\/2, to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(44) + -1 - sqrt(121)\/(-1*sqrt(704)).\nAnswer: 2 + 17*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.15 + -1.87. What is v rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c53d (base 14) to base 2.\nAnswer: -10001101010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1281 divided by -3\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u. Let m(g) = 228*g**2 + 10. Let d(a) = -1142*a**2 - 48. Let q(l) = 5*d(l) + 24*m(l). What is b(q(v))?\nAnswer: -238*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12853140 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*d - 59*d - 27*d - 126*d)*(2*d**2 - 2*d**2 + 2*d**2).\nAnswer: -532*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*64\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 - 52\/60. Which is the nearest to 1? (a) k (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/63 - (18\/21)\/(-3)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014319409 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16697, 16364, 16031, 15698, 15365?\n\"Answer: -333*u + 17030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25db430 - 1?\nAnswer: 25db42d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73.3 - 73. Let i = 1.3 + -0.3. What is the fourth biggest value in -2\/15, l, i, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*s - 48. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(-1))\/(-45 - -37). Let u be c - (2 + (-4 - 2)). Solve 2*q + 17 = 3*a, -6*a + 5*a + u = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**5 - 3045*a**4 - 520865*a**3 - 16496955*a**2 + 103614790*a + 269099040 = 0.\nAnswer: -283, -48, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 16 - 4*t - 5)*(-3*t**3 + 3*t**3 + 2*t**3).\nAnswer: -8*t**4 + 42*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1574728614.\nAnswer: 2, 3, 9720547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62822\/61 or 1030?\nAnswer: 1030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/18 - 418\/99. Let g be (-1)\/n - (-95)\/4. Suppose -2*o = 2*l - 12, -2*l + g = l - 3*o. Solve l - 27 = 5*h, 19 = -3*m - h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21244031 + -3034?\nAnswer: -21302120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**8*o\/(o**(-7)*o))\/((o*o**(-1))\/(o\/(o\/(o\/(o\/(o\/(o\/(o\/o**8)))))*o))))**28)**(-28\/3) assuming o is positive.\nAnswer: o**(6272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 113, 71, 33, 11, 17, 63?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*g**4 - 146138*g**3 - 591012*g**2 - 17008*g = 0.\nAnswer: -4, -2\/69, 0, 1063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x = -1596. Let b be 2\/20 + x\/280. Suppose 464 = b*u + 6*u. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*((-4)\/(-10) + (-5782)\/280). Let v = a - -96. What is the highest common factor of 6 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/7 + ((-66)\/(-77))\/(-1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32307634?\nAnswer: 2, 53, 304789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -50. Suppose 3*m + 3*i = 0, 5*m - 6*m - t*i = 0. Suppose 2*b = -m*b + 36. Calculate the remainder when 50 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -37*t**4\/24 + 35*t**3\/2 + 7*t**2 + t. Differentiate h(w) wrt w.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) 2 (c) 94 (d) 4 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -369 (base 10) to base 12\nAnswer: -269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbb when three letters picked without replacement from {b: 2, z: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -103*l**2 - 40*l - 27. Let f be z(-5). Suppose -3*h = n - 590, -3*h + 5*n + f = 2*h. List the prime factors of h.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12966.67738 - 12906.6773733. Let p = 1.8 + 58.2. Let r = p - h. Round r to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2155\/3 - 2441627\/3399. What is the common denominator of s and -10\/1133?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 0.1 (b) -14 (c) -1 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49310824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21280 + 26553. Which is greater: w or 5271?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 57 = 2*d - 283, -3*d - 5*x = -343. Is 110 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Let m be w*(2 - 3) - -34. Suppose m + 54 = j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 7 = -216*o + 215*o, 11 = -2*n - 5*o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w**2 + 4*w**2 + 2*w**2)*(4 - 1 - 4) - w**2 + 124*w + 102 - 102 to i*w**2 + s + y*w and give y.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (6 - (13 + -12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1449*p - 19 - 1465*p - 40 as r + i*p and give r.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 - (2 + 6 - 4). Let w = -2 + j. Factor -4\/5 + 14\/5*f + 18\/5*f**w.\nAnswer: 2*(f + 1)*(9*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 749649 or 749646?\nAnswer: 749649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1305 - 639. Suppose 4*a + y = 118. What is a rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1010*w + 2116*w - 1105*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 239353259 rounded to the nearest 1000000?\nAnswer: 239000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4)*18\/39)\/(5\/(-10))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-216)\/(-180))\/((-4)\/10))\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13972 divided by -14.\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 5*o - 4. What is w(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1938 (b) -1 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + ((3*sqrt(35))\/sqrt(5) - sqrt(56)\/sqrt(72)) + (-1 + sqrt(175))**2*-4 + 5.\nAnswer: -697 + 128*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 417.65611049 - 416.54611. Let m = v + -1.11. What is m rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 - 40*i + 18. Let a be y(13). Suppose 2*r + 2*r = -4*n + 968, n + a*r - 258 = 0. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00660281 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 849 - 303. Let u = k - 549. Let t = 7 + -7.1. Which is the closest to -0.03? (a) t (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-9)*3)\/((-172753)\/17871).\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 195248 + -52648. What is f rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*((-3)\/(-315)*5 - 14\/(-49)). What is the closest to -25 in -0.2, j, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1420*m = 805 + 615 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, 0.18, -167\/2 in decreasing order.\nAnswer: 3, 0.18, -8, -167\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -1, -2, -2.95?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5447)\/(-3069) - (-1)\/(-1). Let i = h + 1\/341. What is the common denominator of i and -7\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d + 4*h + 16, -2*h - 10 = d. Let i be 3 + d\/(-4) + -142. Let f be 9\/6*i\/3. Round f to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21318 - -3?\nAnswer: 21322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, d: 2, h: 2, q: 1}. What is prob of picking 1 h and 1 q?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 683172.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622 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: In base 10, what is -26888 - 62?\nAnswer: -26950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 3*p**2 + 2*p + 4. Let w be b(-4). Let t(s) = 122*s - 5 - 70*s - 43*s - 10. List the prime factors of t(w).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 16\/15 of a millennium?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19 + -2)\/(3\/(-2)). Let t(w) = w + 8. Calculate the smallest common multiple of 10 and t(u).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3687 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 + 111. Suppose -d = -6*w + 23. Solve -w*t - 16 = -4*a - 0*a, -5*t - 15 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2250 - -2247. What is the closest to -6\/11 in s, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 4*h**2 + 5*h + 6. Let k be g(-5). Let c be (3 - 3)\/3 - 0. Which is smaller: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from cmtzxcqm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.646 - -0.124. Round g to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755 is divided by 348.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64920 is divided by 339.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1317*u - 1278*u - 3 + 2605*u as z*u + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 17*i**2 + 20. Suppose 2*h - 3*j + 8 = j, -2*h - 2*j = -10. Calculate the smallest common multiple of p(-17) and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t - 24. Let j(g) = -g**2 + 6*g + 2. Let h be j(t). Suppose h*f = -3*f - d + 39, f + 5*d = 3. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4257 is divided by 472?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + m - 22 = 0, 3*l - 5*m = 42 + 24. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16362174131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 8*b - b)*(7*b - 41*b + 13*b) + 133 - 133 + 15*b**2.\nAnswer: -69*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42988958773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**3 + 5*y**2 + y - 7. Calculate i(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47377 + 5?\nAnswer: -47372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (sqrt(1331) + 1 - sqrt(1331) - sqrt(1331))*-1)**2*-2 - (((0 + sqrt(704) - sqrt(704)) + 0)**2 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36000.8 + -31734. What is v rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 453621?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 + 92 = 24*x. Solve -4*s + 5*c = -17, -s - 7*c + 9*c = -x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41370*w**2 + 26590*w wrt w.\nAnswer: -82740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 727.5445 decades to centuries.\nAnswer: 72.75445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 8:42 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 440.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7520253 litres?\nAnswer: 752.0253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124 - -101. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 191 = -4*j + 29, -4*j - 108 = -2*y. Suppose 0*b - 4*m = 5*b - 39, -4*b - m = -29. What is the remainder when y is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588)\/sqrt(2))\/(sqrt(2) + sqrt(6)\/(sqrt(12)\/sqrt(4))).\nAnswer: 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1264 - 23?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 47952*p**2 + 7*p - 5. Let h be r(1). Suppose 4*i - h = 3*a + 43671, 0 = 4*a - 20. What is i rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d - -44?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 437006609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*v + 218 = -98 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 9*d**2 - 10*d + 2. Suppose 3 = x - 0. Suppose -x*i - i = 40. Let m be c(i). Solve -4 = m*v - 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34.6 - 10.4. Let a = 43.1 + y. What is a rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13526381 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - ((-34 - -22) + -5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(8)\/sqrt(2)*1)\/(sqrt(54)\/sqrt(3))*6)**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14336154 divided by -42?\nAnswer: 341337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 833 and 2023.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4963, 5199, 5855, 7147, 9291?\nAnswer: 12503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - j = 2. Is 1 != j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*((v**(-4\/3)*v)\/v*v)\/v*v)\/v)*v**1)\/(v\/(v*v**3*v))**(-35) assuming v is positive.\nAnswer: v**(-413\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = 5*i - 2*w, -143*i + w + 103 = -138*i for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u - 3 + 0*u - 4*u)*(-2*u + 5*u - 4*u) + 0*u**2 - 3*u**2 + 0*u**2 + (11*u - 5*u + 10*u)*(-2*u - 4 + 4) to the form x + o*u**2 + f*u and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6049245 divided by -321?\nAnswer: -18845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 - 215*h - 9*h**2 + 215*h to o + y*h**2 + r*h and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**3 + 6290*y**2 + 141905*y - 148200 = 0.\nAnswer: -1235, -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.1, -6\/283, -4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 759 = 714 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 11*x + 4. Let q be z(-11). Suppose 3*s + 105 = a + 4*a, q*s = -a + 44. Calculate the lowest common multiple of a and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f + 43*f + 8*f + 5*f - f - 2*f + 0*f - 3*f + 5*f + 0*f + 2*f + 0*f + (-4*f + 5*f - 2*f)*(-4 + 1 + 4) + 0 + 2*f + 0)*(137*f - 167*f - 113*f).\nAnswer: -10010*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 937 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 270.0339ml?\nAnswer: 0.2700339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a minute in seconds?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 5*r - 55, 15 = -3*z + 21*r - 19*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d - 31*d - 1 + 1.\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2 + 3. Suppose -a + 186 = 3*f + 2*a, -3*f - a = -180. Suppose 7*y - f + 24 = 0. Put y, -4, x in decreasing order.\nAnswer: y, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1539096575.\nAnswer: 5, 97, 634679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2282980077?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 26*w**3 - 5*w**2 + 3*w - 5. Let d(q) = 12*q**3 - 3*q**2 + 2*q - 3. Determine 5*d(n) - 3*v(n).\nAnswer: -18*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 14*i**2 + 25*i - 12. Let u be j(12). Suppose l + 4*l - 20 = u. Factor 10\/11*b**2 - 4\/11*b + 0 + 2\/11*b**l - 8\/11*b**3.\nAnswer: 2*b*(b - 2)*(b - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36341 - 399753\/11. Let g be (1\/(-2))\/(39\/(-2)). What is the third biggest value in g, z, 2\/11, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3036134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 + (-708)\/16. Let w(g) = -g**2 - 43*g + 67. Let j be w(f). Put 4, 3, j, 6 in descending order.\nAnswer: j, 6, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 4)\/(6\/(-72)). Let k = n + 357\/10. Let t = 0.2 + -1.2. Sort k, 0.2, t in increasing order.\nAnswer: t, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 5. Let s be 54\/13 + (-6)\/39. Suppose i - s*n + 8 = 0, 4*n + 0*n + 8 = 5*i. Solve 3*z - i*z + 3 = -l*w, 2*z - 5*w = 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n - 3. What is z(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4 - 215*c**3 - 7*c**2 + 4.\nAnswer: 48*c - 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m**2 + 23*m - 9. Let y(q) = 3*q**2 - 3. Let b(l) = -12*l**2 + 4*l + 12. Let w(g) = -2*b(g) - 9*y(g). Calculate -6*p(d) - 17*w(d).\nAnswer: -3*d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8))\/(4 + 36\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*p + 11, 3*s + 521*p - 522*p = 3. Which is the second biggest value? (a) -8 (b) s (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -111607?\nAnswer: -446428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 10*v**2. Let t(z) = -14870022*z**2. Determine t(u(n)).\nAnswer: -1487002200*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448*z - 445*z - 846 = 0. List the prime factors of z.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 0.4 (c) 3\/7 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-120)\/(-28))\/(-46 + (-13889)\/(-301)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.096+7.452\nAnswer: 7.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4542)\/(-6) + 0 - (-2 - -3). Suppose -68*s - g = -74*s. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 77\/10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25795 - 25799. Put -2, o, 64, -5 in descending order.\nAnswer: 64, -2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1719 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 1, i: 3, q: 2, u: 3, w: 1}. What is prob of sequence whuu?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733570 is divided by 492?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -548*j + 16453. Calculate r(30).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d (base 15) to base 14.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - l + 7577, 0 = -0*l - 2*l - 6. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 47334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 2*n = -0*g, 4*g = -3*g + 3*g + 6*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * 0.1\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41040*q**3 - 88*q**2 + 4*q + 88*q**2 - 4*q + 40745*q**3.\nAnswer: -295*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*(-73)\/((-67452)\/297).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/5 equal to -98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*q + 27, -3*a = 3*q + 2*a + 3. Let v be (q\/(-35))\/((-3)\/(-10)). Which is greater: 2 or v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329601*a**3 - 5 + 222762*a**3 + 4 + 0.\nAnswer: 552363*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 5*l + 4. Let r be h(-5). Suppose 0 = -24*s + 20*s + 8. Solve 2*t + r = -2*v, -2*v = -2*t + 6 + s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3411 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - m - 1037 = 0, -3*f + 4*f + 4*m - 324 = 0. Suppose -193 = z - 3*q, -8*z + 5*z - 523 = 5*q. Let j = f + z. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 14 = 2, 2*y - 2 = 2*o. Let n = 5 - 3. Let d(i) = 11*i**o - 9*i**3 - i**n - 9*i**2. Determine d(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191197 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 15*i**2 - 13*i + 2. What is q(14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*u**3 + 61*u**3 - 26*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 1. Let y = b + -11. What is the closest to -1 in 6\/11, y, 3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -384, -644, -1082, -1704, -2516, -3524, -4734, -6152?\nAnswer: -7784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4446 + -262. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2. Let u(q) = -20*q**2. Let i(c) = -u(c) - 24*v(c). Let p(g) = 2*g + 1. Let d(m) = -m - 1. Let o(k) = -3*d(k) - 3*p(k). What is i(o(z))?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39339, -78676, -118013?\nAnswer: -157350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1870082 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**3 + j**2 + 7*j + 1. Let n(t) = 2*t**3 - t**2 - 4*t - 1. Calculate 5*n(u) + 3*w(u).\nAnswer: -2*u**3 - 2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c = 0. Suppose -a + 8 = -z, -3*z - 16 = -c*a - a. Suppose -5*p + 15 = -o, 2*p - 3*o - 6 = -a*o. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**2. Let k(g) = g**3 + g**2 - 3*g. Let i be k(-2). Let o(h) = -4742*h + 4742*h + 36*h**i. Give o(d(m)).\nAnswer: 576*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 10*j**2 - 115*j + 6. Calculate u(16).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 3*n**2 - 10*n. Let k(g) = -2*g + 9. Let a be k(2). Let m(q) = q**3 - q**2 + q + 1. Let y(i) = a*m(i) + h(i). Is 40 a factor of y(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**3 - 3*s**2 - 2*s - 1. Is g(-3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-44)\/(-638) - 3884\/(-29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -12. Which is bigger: -6 or q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 6, 0.4, 5, 65?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v**(6\/11)*v))\/v)*v**(3\/7)*v*v)**(-33) assuming v is positive.\nAnswer: v**(-1149\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 - -59. Put 0, 3, -6, n in descending order.\nAnswer: 3, n, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1256 + -1363. Put o, 5, -3, -4 in ascending order.\nAnswer: o, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 553*o**2 - 13243*o - 104. Calculate x(23).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 29, 86, 195, 374?\n\"Answer: 3*m**3 - m**2 + 5*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 8 = -2*x - 3*n, 5 = x - 3*n. Let o(r) = -113*r**3 + 3*r + 2. Is o(x) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**4 - 2*y**3 - 1. Let b(n) = 16*n**4 + 11*n**3 + n**2 + 5. Suppose -1 - 1 = g. Let r(q) = g*b(q) - 11*f(q). Find m, given that r(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. Let f(m) = 2*m + m + m - s. What is the remainder when f(5) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57.8 + 75. Let p = -17 + z. What is the third smallest value in -1\/2, p, -1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -879 - 52?\nAnswer: -931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -6*z - 0*z. Suppose -z + 9 = 2*m. Suppose 0 = 3*v + 5*p - 140, m*v - v + p - 91 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83620 and 42560.\nAnswer: 177943360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000926109 to 7 decimal places.\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1077?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 357 and 2583?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (165\/(-6))\/((-1)\/(-14)). Suppose 2*s - 5*g = -3*s + 50, -5*g = 10. What is the remainder when 8\/(-10)*y\/22 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1019.6 - -1019. What is the fourth smallest value in v, -3, 4, 1.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690510045?\nAnswer: 3, 5, 4877, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s + 140. Let b(u) = -3*u - 94. Determine 7*b(g) + 5*n(g).\nAnswer: 4*g + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2062*c**5 + 98*c**4 - 120468*c**2 + 1 wrt c.\nAnswer: 123720*c**2 + 2352*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(3 - (-2 - -6)). Do -2 and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 83*c - 87. Suppose -j = 3, -5*j - 5 = 5*l - 0. What is the remainder when g(l) is divided by 46?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*-6*((4 + sqrt(108)*-4 - sqrt(108)) + (sqrt(108) - (sqrt(108) - (sqrt(108)*-4*-3)**2))).\nAnswer: -840024 + 1620*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1158373.43 to the nearest 1000.\nAnswer: 1158000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quqquuqqqoqqquuo. Give prob of picking 1 u and 1 q.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155 - -147. Let c be (3 - 0)*3 - 0. Let l(m) = -5 - m**2 - 1 - 6 - c*m - m. Calculate l(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 2\/12*8.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(1053)).\nAnswer: -8 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m + 6 = 0. Find the common denominator of (-92)\/88 - (7 - 3) and (-423)\/(-84) - m\/2.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -119, -19354.\nAnswer: -19354, -119, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 + 40)\/(8\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/2)\/m)**(-32)\/(m**(-5)\/m*m**(2\/7)) assuming m is positive.\nAnswer: m**(152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1301.\nAnswer: -4\/1301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -11675*t**2 + 20560*t + 16. Let l(j) = 3893*j**2 - 6853*j - 5. Let c(u) = 5*k(u) + 16*l(u). Find the second derivative of c(m) wrt m.\nAnswer: 7826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 - -193. Let z = -68 + b. Let n(j) = -6*j + 10. Give n(z).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.262 + -2145188461054\nAnswer: -2145188461053.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*h**2 - 361805 + 538*h.\nAnswer: -(h - 1345)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -44.7. Let g = u - 0.3. Suppose -2*p - 3*q = -7, 3 + 0 = 4*p - 5*q. Put g, p, 2\/3 in increasing order.\nAnswer: g, 2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**4\/9 + 2216*c**3\/3 + 2*c**2\/9 - 2216*c\/3 = 0?\nAnswer: -1, 0, 1, 3324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3041 divided by -32557.\nAnswer: -3041\/32557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/11 + 6690*g\/11 + 161712\/11.\nAnswer: -2*(g - 3369)*(g + 24)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 47*m - 7517. Calculate o(-68).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 650686 = 3*v, 2*v - 25 + 29 = 0. What is o rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58, 86, 144, 232?\n\"Answer: 15*k**2 - 17*k + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 3 = 93. Let q(a) = -11*a - 4 - 22*a - 8 + 1. Is q(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -518 divided by -2\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 325 + -337 - (1 + (-3 - (-4 + 3)) + 49)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 5. Let q(c) = c + 4. Let u be (1\/2)\/((-2)\/(-24)). Suppose 12 = -12*i - 0. Let z = i + 6. What is u*q(r) + z*v(r)?\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 4:37 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 40\/15*(-66)\/44\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 4*r**2 + 47*r - 19. What is the hundreds digit of j(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -18*v**2 + 3. Let p(d) = -46181*d. Calculate a(p(k)).\nAnswer: -38388325698*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -939 or -940?\nAnswer: -940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 0, -2*d = -3*b - 5*d - 30. Calculate the common denominator of 33\/(-5) - (-14)\/(-35) and (-98)\/b*(-15)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26, 38, 64, 110, 182, 286?\n\"Answer: z**3 + z**2 + 2*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(0*a + 0*a + a) + 4 - a - 4 - 4 + 4*a + 4.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebenbbeeeebebene. What is prob of picking 2 n?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -27. Find the third derivative of -7*t - 10*t + 3*t**4 + b*t + t**2 wrt t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 6) in base 2?\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/60 and -91\/440?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -58*o + 57. Let g(z) = z**2 - 57*z + 57. Let t(j) = 3*g(j) - 2*i(j). Let c be t(30). Suppose 0 = -6*r + 4731 + c. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8957 and 5512.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**5 - 18*y**4 + 83*y**3 - 138*y**2 + 72*y = 0.\nAnswer: 0, 1, 2, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*-1 - -3 - -186. Let o = -56 + t. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7526 divided by 158?\nAnswer: -3763\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 14*g**3 - 113*g**2 + 161*g - 7. What is j(5)?\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 24, -1, 1, 0, -50, -4.\nAnswer: -50, -5, -4, -1, 0, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 2. Let b(g) = -6*g + 0*g - 7 - g + 4*g**j. Let y(f) = 18 - 11*f**2 + 6*f - 7 + 14*f + 9. Give 17*b(t) + 6*y(t).\nAnswer: 2*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -584*m**5 - 199*m - 2 wrt m?\nAnswer: -11680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 0*w - 62. Let h(q) = 6*q**2 + 2*q + 930. Let a be h(0). Suppose 55*y = 49*y + a. Calculate the highest common factor of y and w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c = -54 + 348 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9094588 and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*g = 490, 3*g = 5*s - 2*g - 2510. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175989141.\nAnswer: 3, 151, 129499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 28\/19293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z + 38. Determine t(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/49 + 47\/98. What is the third biggest value in 1, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -5*x + 70. Which is the nearest to 4\/5? (a) 2 (b) 2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -798 + 1397. What are the prime factors of c?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (3 + -3)) + (2 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -752, -1439, -2114, -2771, -3404, -4007?\nAnswer: -4574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -20. Let f be -1 - (1 - 0\/2). Let q be -1*f*c\/6. Solve -5*u - 8 = -t + 1, -3*t + 3 = -q*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from {v: 5, w: 7}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12325 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*z - 5*i, -4*z - 6*i + 2*i = 0. Let o = 6 - z. Suppose y - 8 = -o*y. Solve -4*t - 1 = -2*x + 5, y*t + 13 = -x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5928090027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 523*h**2 - 19*h + 7 wrt h.\nAnswer: 1046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**5\/60 + 3*l**2. Let z(j) = 6*j. Let o(r) = -17*r. Let m(u) = -4*o(u) - 11*z(u). Determine m(y(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*(sqrt(1872) + sqrt(1872)*-1 + 1) - ((3 + sqrt(1573) - 3*sqrt(325)) + -5))**2.\nAnswer: 96*sqrt(13) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5605 is divided by 189.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1349*v - 48465 - 74726 + 13922 for v.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 35\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 7*c**2 - 5*c - 1. Let x be p(6). Solve 0 = 4*l + l + x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a - a**2 - 9*a**2 - 7*a to the form p*a + n*a**2 + u and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-2\/83)*w*(w*(w\/(w*w\/w**(-16)*w))\/w)\/w)\/((w*w\/w**(-9))\/(w*w**3)))**(-2\/31) assuming w is positive.\nAnswer: w**(3822\/2573)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92534?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/5)*y*y)**6)**(2\/27)\/(y\/(y\/(y\/(y*y**(-8))))*((y*y**(-5\/2)*y*y*y)\/y)\/y*y*y**(3\/2)\/((y**(-2)\/y)\/y)) assuming y is positive.\nAnswer: y**(-574\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, 8, 8, -4, -34, -88, -172?\n\"Answer: -s**3 + 3*s**2 + 4*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*v + 455. Suppose -121 = -14*b + 19. Suppose 0*m - b*m - 920 = 0. Is v != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 5. Suppose 2*m + 31 = -3*n + 6, -3*n - m - 23 = j. Let a = 13 + n. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2859660 to the nearest 10000.\nAnswer: 2860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, -0.4, 2\/27, -198\/19, -2\/7?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*d*l**2*v*x**2 + d*l*v**2*x - 4*d*l*v*x + 34*d*l*x**2 - 4*l**2*v*x + l**2*v + 3*v**2*x**2 - 767*v**2 + 2*v*x wrt x.\nAnswer: 68*d*l**2*v + 68*d*l + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1363 + 80415\/59. Suppose 0 = -7*c - 8*c + 15. Is c smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -122, -310, -604, -1022, -1582, -2302?\n\"Answer: -3*d**3 - 26*d**2 - d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 373 + -78. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (89 - 84 - ((-24 - -6) + -1)) + 9.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331.3459km in nanometers?\nAnswer: 331345900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppwppprwwrrr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.234 * -0.051\nAnswer: 0.011934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-108)\/12 + 4338 - 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 63?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 2*d = -i - 18, -i = -4*d - 22. Let c = d + 25. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/17 + 110*d\/17 - 212\/17.\nAnswer: -2*(d - 53)*(d - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-729 - 0)\/((-22)\/(-6)). Let i = m - -199. Let z = -203 + 203. Which is bigger: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11716 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10728160 a multiple of 552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1425561 - 1425561 + 76*g - 161*g.\nAnswer: -85*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - 0) + 17622\/(-6468) and 16\/5.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-855)\/190)\/(1\/2 + 0)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 9:31 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12106156 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 1:13 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 479618 and 246?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136\/3 - 45. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*w + 388*w**3 + 560*w - 270*w.\nAnswer: 388*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-72))\/((-1554)\/(-63)).\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence poy when three letters picked without replacement from {p: 2, v: 1, q: 2, y: 4, o: 5}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8945, 8975, 9063, 9239, 9533, 9975?\n\"Answer: 5*j**3 - j**2 - 2*j + 8943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*g**2*v**2 - 1101*g*v**3 + 3*v**3 - v**2 + v - 762 wrt g?\nAnswer: 16*g*v**2 - 1101*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748 = 47*z - 278 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(20)\/(sqrt(24)\/sqrt(24)) + 0).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16211 - 0?\nAnswer: 16211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 15 = 4*m + m, -5*y - 3*m = -9. What are the prime factors of 11 + 378 + -2 + y?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**2 - 2017*g - 20. Let d(j) = -9*j**2 - 2017*j - 25. What is -4*d(y) + 5*s(y)?\nAnswer: y**2 - 2017*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - ((-7649)\/5)\/((-6)\/(-30)). What is y rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - j**2 - j**3 - j**2 - j**3 + j**2 - 5*j**2 + 5*j**2 - j**3 + (-4 + 4 - 2*j)*(2*j - 2*j + 2*j**2) + (-542 + 601 - 698)*(0*j**3 + 3*j**3 + 5*j**3).\nAnswer: -5119*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g - 1505 = 2922 + 2874 - 2197 for g.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 489, 809, 1197, 1665?\nAnswer: 2225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -340, 2 in increasing order.\nAnswer: -340, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (284\/(-1278))\/((-14)\/(-1386)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 65\/26*8\/(-5). Let s = p - -6. Suppose -z = -2 - 6. Solve 2 = -s*j - z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-18))\/((-14)\/63). Let t be ((-2)\/8)\/(-4*(-5)\/(-400)). Suppose 3*r = 3, -h - t*r - 15 = -f*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53559 and 2376.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 11*m - 76. Let f be p(-16). What is the derivative of -50*z**4 - 88 + 93*z**f + 49*z - 44*z**4 wrt z?\nAnswer: -4*z**3 + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1289703 + -49226776.3710297. Let z = d - -49226863.5000113. Let w = z - 87. Round w to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22550514 to the nearest integer?\nAnswer: 4749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(10\/52) - (-1 - -1). Suppose 1 = -5*f + h. Suppose j + 100 = f*j. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5 - 54*a**4 - 396*a**3 - 834*a**2 - 711*a - 216.\nAnswer: 3*(a - 24)*(a + 1)**3*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 577244 by -577244.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4 = -5*o, -5*o + 5*h = 4*h - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 7 + 15 + 3*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 26. Suppose -4*g + 196 = -m*g. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 500*w**5 + 85502*w**3 - 30741752*w.\nAnswer: 10000*w**3 + 513012*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 744 + -439. Is k a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llnlnnlllelvclncl. What is prob of picking 2 l?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -187*i**2. Let d(z) = 4*z. Calculate d(f(w)).\nAnswer: -748*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2276*r**3 - 246*r**2 + 171627*r - 5?\nAnswer: 13656*r - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -101\/9 (b) -0.5 (c) -4 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -3 + 1 - (2 - -12). Let j be ((-5)\/q - (-26)\/12)*2. Sort j, -2, 11.\nAnswer: -2, j, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, 4310, 129.31 in increasing order.\nAnswer: -0.2, 2, 129.31, 4310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 - 1 + 1 - 2)*(5 - 6 + 3).\nAnswer: -6*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6715\/(-34)*8\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61*a - 85*a + 141*a - 76*a)*(a - 2*a + 0*a) to c*a**2 + f*a + w and give c.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 9:40 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10101 + 22220110121?\nAnswer: 22220120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 10 = -v, -v + 20 = 4*m + m. Suppose 0*b - m*b = -20. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f**3 + 12*f**2 - 98. Let i(r) = 2*r**3 + r**2 - 1. Let n(h) = 5*i(h) + m(h). Differentiate n(j) wrt j.\nAnswer: 6*j**2 + 34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7189, -28783, -64773, -115159?\nAnswer: -179941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3345 and 0.0425.\nAnswer: 0.01421625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1101011?\nAnswer: -1101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/6944223 and -46\/9.\nAnswer: 20832669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -131266600 to the nearest one million.\nAnswer: -131000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2530 - -2537. Suppose q = 4*q + 2076. Is 0 + q\/(-6) + d\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10247680 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25\/19 in 1\/6, 7.1, 2, 3.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -43 (b) 7 (c) -814 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62751.95686 - -930.\nAnswer: -61821.95686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(72) - sqrt(72)*2 - sqrt(72)))\/(sqrt(3)*-1*-5 - sqrt(3)))\/(1*sqrt(1200)*5*-4).\nAnswer: sqrt(2)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -3*w + 5*y, 3*w + 2*y = 2*w + 59. Let x = -0.1958 + -0.3042. What is the fourth biggest value in x, -2, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 - 60e?\nAnswer: -5de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**3*m*w**3 - 2*i**3*w - 488*i**2*m*w**2 - 18*i*w**4 - 67*m*w**4 - 2*m*w**2 wrt w?\nAnswer: 6*i**3*m - 432*i*w - 1608*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -239*l**5*x - 305*l**3*x**2 - l**2*x**2 + 25*l**2*x + 6*l + 5*x wrt l.\nAnswer: -14340*l**2*x - 1830*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/72 - 1\/18. Let n(q) = q**2 + 6*q + 5. Let r be n(-5). Which is greater: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1871827*0.2.\nAnswer: -374365.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -s - 0*a - 5*a, 5*a - 15 = 0. Suppose 3*m - 41 = -4*r, -s = -4*r + 4. What is the remainder when 39 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 12*b**2 - 4. Let x = 100 + -112. Give m(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.68 + -0.32. Let v = -153 - -168. Let i = v + n. Which is the second biggest value? (a) i (b) 2\/39 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 r, 1 w, and 1 a when four letters picked without replacement from mawlrrrlawmmw.\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4*s + 3)*(19*s - 4*s + 10*s) as j*s + t + r*s**2 and give r.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from {c: 16, t: 1, e: 3}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -1)*1 - 2. Suppose 3*r + q*r = 0. Let w(s) = s**3 - s + 12. List the prime factors of w(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3137?\nAnswer: 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1221*f - 2678*f + 731*f in the form n*f + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (1166\/(-143) - -8) + (-121560)\/(-65) and 1683?\nAnswer: 16830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/5 + (-328)\/48?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d*d*d*d\/(d**1\/d))\/d)**(-5\/4)*(((((d*d**0)\/d)\/d)\/d)\/d)**(-1\/24))\/((d**(2\/9))**43)**(-3\/7) assuming d is positive.\nAnswer: d**(-341\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u = -94*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -11 + 9 + -8 - 8\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Let c(g) be the third derivative of -g**5\/60 + 5*g**4\/24 + g**3\/6 - 2*g**2. Let v(l) = c(l) - 3*o(l). Calculate v(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21357 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4414014261.9 and 34.\nAnswer: 4414014295.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s - 6. Let o(r) = r**3 - 4*r**2 - 2*r + 7. Let q be o(4). Let c(g) = -g - 1. What is q*k(d) + 4*c(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3)\/2 - 275\/33. Let i be (h\/20)\/((-1)\/(-10)). Which is the nearest to -2\/3? (a) 4 (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 + 2 - 1 - 1 - 5*n**3 to the form l*n**3 + u + w*n**2 + q*n and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -21.1892, 0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -73. Solve 0 = p - g*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 1:49 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2044\/152797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36780236153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 2*b**2 + b - 2. Let l be r(-2). Find the common denominator of (-15)\/100 + l\/10 and -101\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3 + 11 = -5*s, -3*s + 4*n = 8. Let l be (-8 - -1)\/(1 + s). Let o = l + 10. Solve -o*p + 2*p + 1 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 1010*j + 17532.\nAnswer: 2*(j + 18)*(j + 487)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 1. Calculate the remainder when (-17)\/(-1) - (d + -2) is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 293?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 3. Suppose 3*m - 18 = i, -w*m - 5*i + 20 = -10*i. Solve m*f = 2*f - 3*t - 6, -4*f - 27 = -5*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -779*p - 1. Let m(t) = 15*t + 102. Give s(m(f)).\nAnswer: -11685*f - 79459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 668 a factor of 56338452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2237279807?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11416, 11398, 11380, 11362, 11344?\n\"Answer: -18*c + 11434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 - 53. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 30 + (-5 - 25) + (-24 - (2 + -1))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22607453 + 10?\nAnswer: -22607443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*h + 2 = 8, 0 = b + h + 3. Suppose b = 23*d + 72 + 66. Which is greater: -23 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 + 32*f - 25. Suppose -4*v - 4*y + 44 = 0, -3*v - 5*y = -0*y - 37. What is the remainder when g(14) is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -69 - 766?\nAnswer: -813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4389, 4390, 4391, 4392, 4393, 4394?\n\"Answer: r + 4388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 189 + -179. Suppose 8*c - 4*t + 2 = k*c, 5*c = t + 16. Determine x so that -4\/7*x + 2\/7*x**c + 0 + 2\/7*x**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -15*d**2 - 21*d**2 - 15*d**2 + 48*d**2. Let f(q) = -3*q - q + 3*q. Give h(f(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14918964 and 11189223?\nAnswer: 44756892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 22 + (-10 + 8 + 3 - -2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261328.\nAnswer: 2, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26389025.\nAnswer: 5, 13, 81197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 - 111100010111110001110?\nAnswer: -111100010111100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 11\/(44\/336). Suppose c + 163 = 4*w, -3*w + 3*c + u = -40. Let g = -41 + w. Solve g = -0*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**4 + 224*f**3\/3 - 1450*f**2 - 6728*f + 468. What is y in i(y) = 0?\nAnswer: -2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z**2 + 20*z**2 + 4*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11990773 to the power of 1\/2, to the nearest integer?\nAnswer: 3463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29018, 29022, 29028, 29036, 29046?\nAnswer: 29058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -68e9 + 83d?\nAnswer: -60ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28731 - -201127\/7. Factor 0 + 2*r**2 - 4\/7*r - 18\/7*r**3 + x*r**4 - 2\/7*r**5.\nAnswer: -2*r*(r - 2)*(r - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 6:04 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 17874 - 44309 = 5*a, l - 5*a - 31104 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -2 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -492*d**2 + 533*d**2 + 3 - 3. Let i(c) = -7*c**2. What is j(i(y))?\nAnswer: 2009*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 1 - 1)*(-2 - 5 + 1 + (0 - 1 + 2)*(-2 + 2 - 3))*(36*y - y - 6*y).\nAnswer: 522*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -7*n**2 + 75 - 16*n - 1\/3*n**3. Calculate d(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 18 - 11*x - 150 + 101 + 18.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1751\/(-187) + -1*3 + 300\/25\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 r, and 1 s when three letters picked without replacement from xexxeeerrxxsr?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 6*g + 3. Let z be m(-4). Let j be 4760\/(-220) - 8\/22. Sort -3, j, z in descending order.\nAnswer: -3, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -706 + 1369. List the prime factors of s.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10007878?\nAnswer: 2, 79, 97, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**4 - 7812171*a**3 + 6781120671402*a**2 - 1962058496510810244*a + 5886114459657316488 = 0.\nAnswer: 3, 868018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 771639, 771638, 771637?\nAnswer: 771636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 187 + 305 = 0. List the prime factors of y.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1219\/366 + 1\/366. Let l = h - 67\/21. Let m be -1 + (-61)\/(-33) - (-7546)\/(-41503). Which is the third biggest value? (a) m (b) l (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 4*k + 3*b - 107, 4*k = -2*b + 10. Put k, 88, -2, -3 in decreasing order.\nAnswer: 88, k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -0.51377?\nAnswer: -0.51377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8780*q - 58. Does 12 divide z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*f + v + 744, -4*f + 2*v = -982. Suppose -f = -5*r + 76. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1123*d + 21. Let o = 24 + -27. Let q be s(o). Let y = -48 - q. Round y to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5471*u - 28 = -5467*u - 4*s, 0 = 5*u + 5*s - 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152.9 + 149.9. Let t = 0.1 - 0.1. What is the nearest to -0.1 in g, t, -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 4:45 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 2*i**7\/735 - 41*i**6\/420 + 26*i**5\/35 - 7*i**4\/3 + 64*i**3\/21 + 4*i**2 - 224. Determine d so that l(d) = 0.\nAnswer: 1\/2, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2\/125 of a kilometer?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/7)\/(s**(-9\/4)\/s)*(s*s**(-2)*s)**(2\/7) assuming s is positive.\nAnswer: s**(83\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 2*j + 18, 22*j = 26*j + 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1074 = -4*t, 3*v - t - 1080 = v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -173, -267, -409, -605, -861?\nAnswer: -1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 29. Suppose 5*h - l*h = 48. Let p be h\/6 + (-2)\/(-3). Which is greater: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*t**5 - 2*t**5 - 28*t**5 + (-4*t**2 + 2*t**2 + 0*t**2)*(3*t**3 - 4*t**3 + 0*t**3) + 2*t**5 + t**5 - 4*t**5.\nAnswer: -17*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53563062 at most 53563062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -34\/35, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, r: 5, m: 1, c: 1, e: 2, t: 7}. Give prob of picking 1 m, 1 t, 1 k, and 1 e.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1087, 1207, 1351, 1531, 1759, 2047?\n\"Answer: 2*p**3 + 106*p + 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/22)\/((-8)\/(-48)). Let n = 31\/33 - w. Let k(a) = 4*a. Let x be k(-1). What is the closest to -1 in -0.3, x, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164222?\nAnswer: 2, 157, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*d - 15. Let z(b) = b - 1. Let v be z(d). Let q be 0\/(v\/(-4)*-6). Solve -2*n = -q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**5\/20 - 11*h**4\/12 + 2*h**3\/3 + 7*h**2 + 162*h. What are the prime factors of n(11)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**3 + 158155*s**2 - 15148320*s + 363283200 = 0. Calculate s.\nAnswer: 48, 31535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**4\/6 + 2*m. Let r(c) = -7*c - 1665 + 1665 + 0*c. What is r(p(j))?\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -17*d**3 - 17*d**2 - 8*d. Suppose 29*m = -251 + 106. Let h(s) = -11*s**3 - 11*s**2 - 5*s. Calculate m*i(j) + 8*h(j).\nAnswer: -3*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Suppose -2*p - 4*c = -24, -p - 12*c = -17*c - 40. Let y(h) = -1. Let v(o) = -2*o + 5*o + 2*o + 20. Let g(a) = p*y(a) + v(a). Determine s(g(w)).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 364 and 819.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 628293677 to the power of 1\/3, to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0.3 (c) -1\/2 (d) -14077 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from wllwzwf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*a - 518*a + 1019*a + 60 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 115 = -26*i. Let g = 224 - 94. Suppose 2*k + 5*h - 52 = 0, 4*h - 2*h + g = i*k. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = d - 2297, -5*d = -z - 4*d + 2303. What is z rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24103605?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/14)\/(15\/(-350)*15). Suppose 3*q + 5 = -9*y + 4*y, 0 = -5*y - 4*q - 5. Which is the second biggest value? (a) 0 (b) t (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000027555 rounded to six dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 734510 divided by -4.\nAnswer: -367255\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47317, 47316, 47315, 47314, 47313?\nAnswer: 47312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/35, 2, -110, -8, -1\/5, -0.5 in increasing order.\nAnswer: -110, -8, -0.5, -1\/5, -4\/35, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4706618713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -84\/11, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.04096 - 0.84096. Let o = -0.8 + 24.8. What is the third biggest value in o, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112 + 194. Suppose 2*w = 2*l, 16 = -l - 0*l - 3*w. Let u(b) = b**2 + b + 9. Calculate the remainder when s is divided by u(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/2 and -37\/3340.\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3531\/215 + 82\/5. Let u = a + -36\/301. Let v = -5927\/15 - -395. What is the closest to 0 in u, v, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*v + 2, -v - 2*v + 4*j = -13. Let a = 192.9 - 193. What is the closest to -0.3 in v, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t - 82 = -14*t - 15*t - 2*j, 516*t + 3*j = -14*t + 9555 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22771, 22786, 22803, 22822, 22843, 22866, 22891?\nAnswer: 22918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 33, 23, 9, -9?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -19*f**6\/120 - f**5\/12 - 9*f**2 + 2. Let i(p) be the second derivative of z(p). Find the third derivative of i(v) wrt v.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011100110 + 0?\nAnswer: 11011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296183286?\nAnswer: 2, 5167, 125429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 442 and 16?\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 131999891494 from 0.\nAnswer: -131999891494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 - 3*o - 6*o**2 + 4*o**2. Let r be c(4). Solve -5*p = -r - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*r + 8 - 43, -3*r - 3*y + 66 = 0. Let x = -15 + r. Suppose -x*z = -6*z + 48. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242748, -485509, -728280, -971061?\nAnswer: -1213852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 1221471554.\nAnswer: -1221471553.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*o - 40*o + 1666. What is the highest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5*6*3782\/(-244) is divided by 101.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -821658124*c**5 + 1368808597*c?\nAnswer: -16433162480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.98805um in nanometers?\nAnswer: 12988.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 192*u**2 - 529*u - 27370. Give v(-194).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2. Let r(u) = u**2 + u + 8. Let b be r(0). Let l = -5 + b. Let c(s) = -l*s - 3*s + 4*s. What is j(c(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-3\/4))**(1\/5)*(y*y*y\/(y\/y**(2\/13))*y*y)\/(y\/(y\/y**(2\/73)*y)*y) assuming y is positive.\nAnswer: y**(79269\/18980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -4 - -13) + (-12 + 25 - 4).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.79 - -87.21. Let i = f + -89.000102. Round i to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3\/2 + 2517*h**2\/2 - 376623*h = 0. Calculate h.\nAnswer: -1073, 0, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 593 - 565. Calculate the remainder when 129 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 59, 108, 169, 242, 327, 424?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*w - 143*w = -307*w + 4225. What is the remainder when w is divided by 160?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-11)*(-169)\/56446*-167\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*c - 8*c. Suppose -4 = 21*v - 25*v. Solve -v = -3*p + c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10588*x**4 + 2*x**3 + 44*x**2 + 232*x wrt x?\nAnswer: 254112*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**2 + 26*u. Let d(r) = 8*r**2. Determine m(d(b)).\nAnswer: -384*b**4 + 208*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 19*o**4\/3 + 10048490*o**3\/3 + 1328570360479*o**2\/3 - 932344217840*o + 93234492300 = 0.\nAnswer: -264435, 2\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -21. Let f = l - -12. Which is the smallest value? (a) -2\/7 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 2*v**2 - 3*v + 1. Let f be b(2). Let q(h) = 2*h - 14. What is the remainder when q(13) is divided by 5*(f\/(-5) + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 7*h - 102 = 3*b, 2*h + b = 53. Suppose 0 = 8*s - 221 + h. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -280955 or -280956?\nAnswer: -280955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + o + 1. Let q(r) = -3*r**2 - 11*r + 6. Let k(y) = -y**2 - 4*y + 2. Let h(f) = 17*k(f) - 6*q(f). Give 2*h(n) + 3*p(n).\nAnswer: -n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 10*z + 13. Let i be f(9). Suppose -i*r - 2*m + m = -10, -3*m = 2*r. Suppose -222 - 123 = -r*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 10 - 8*a**3 + 5 + 4*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -4*d + 8, -13 = 3*d + 3*t - 4*t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 5. Suppose 0 = z*b - 12. Solve i - b*i = -1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4430, 8863, 13298, 17735?\n\"Answer: u**2 + 4430*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1894 - 1893.7. Which is the biggest value? (a) x (b) 0.2 (c) -0.4 (d) -0.03 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-24) + (-253)\/88 + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -7.45, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/12*2*(5 + 4). Find the common denominator of 0\/(-2) + v + 238\/20 and -21\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -39694.\nAnswer: -39694, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -211740, -423459, -635178?\n\"Answer: -211719*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 4 - 8. Factor 2 + r**5 + 2*r**3 + r**4 - 6 + 2*r**4 - x*r**2 + 3 - 3*r.\nAnswer: (r - 1)*(r + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2720, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*s - 10, w - 2 = 4*s - 7. Suppose 0*z + s*z = 32. Suppose 48 = 1085*d - 1082*d. What is the greatest common factor of d and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywvx when four letters picked without replacement from {d: 3, w: 2, y: 2, n: 2, x: 1, v: 2}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/9)\/(16\/72). Solve -a = f*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2.16, 2, -4 in decreasing order.\nAnswer: 5, 2.16, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Let l = 6 - k. Find the common denominator of 125\/12 and -2 - 0 - (-11)\/l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1 + p**3 + 9*p - 9*p - p**2. Let a(g) = -8*g**3 + 4. Let f(v) = a(v) + 4*t(v). What is the third derivative of f(q) wrt q?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1.6, -4, 4, -5\/2?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - 2) - (3 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.59 + 57.59. Let v = -98097.357 - -98040. Let o = l + v. Round o to 2 dps.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**3\/4 + 948283*p**2 - 3793129*p + 3793128 = 0.\nAnswer: 2, 3793128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 276*i**2 + 19 - 42 + 12 in the form r*i + q*i**2 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2571, 10190, 22899, 40704, 63611, 91626?\nAnswer: 124755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6a0c (base 13) to base 9\nAnswer: 22367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/7 - 57*r**2\/7 - 80*r - 900\/7.\nAnswer: -(r + 2)*(r + 10)*(r + 45)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -1. Let p(d) = 5*d**2 - d - 5. Let b(z) = -6*z**2 + z + 6. Let u(f) = 3*f + 45. Let h be u(-16). Give h*b(x) + q*p(x).\nAnswer: -2*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 1:07 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 1, j: 2}. Give prob of sequence jhrj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24993782 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, -1, 1108, -0.02, 7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 15*x**2 - 1454*x - 1576. Give u(98).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -831*q + 29503 = -100*q + 725*q - 8353. Suppose 2*p = 3*p - 182. Calculate the highest common divisor of q and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26991769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: -32505550 (base 6) to base 7\nAnswer: -11162403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 247 + -491\/2. Which is the nearest to 7\/5? (a) -0.5 (b) -1\/5 (c) -6\/11 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 11535550?\nAnswer: -11535541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41105 - -33?\nAnswer: 41141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in millimeters?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 755932169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 144 from -1.547818643.\nAnswer: -145.547818643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/6 and 37\/1984.\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/30008 and -89\/682?\nAnswer: 30008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 8 = 0, -3*u + 832*x + 16 = 831*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2. Let h = 0 - -0.3. Let p = 0.1 - h. What is the nearest to -1\/2 in q, -1\/4, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*(w\/(((w**(-33)*w)\/w)\/w))\/w)\/w*w*w*w**(-3\/23))\/(w**(-17))**(-40) assuming w is positive.\nAnswer: w**(-14792\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 4*p + 24 + 8, -s - 4*p = -11. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q - 452 = 22*q - 5*l, 4*q = 5*l + 452. Calculate the remainder when q is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -63. What is the common denominator of (-213)\/36*(h\/42)\/2 and 115\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, o: 1, d: 1, b: 4, j: 1}. What is prob of sequence jbd?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -191*b**6\/2 + 827*b**3\/3 - 974. Find the third derivative of w(f) wrt f.\nAnswer: -34380*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 4*l + 3. Determine h(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/2, 31, -0.4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -16, -4, 31, 75 in decreasing order.\nAnswer: 75, 31, -1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 225288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, r: 2, l: 1, g: 1, a: 1, v: 2}. What is prob of picking 1 c and 1 a?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 162477 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 1:02 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n\/n**(-4\/9))\/n)))**(-9\/13)\/(n**(-5\/2))**(-7))**(-7) assuming n is positive.\nAnswer: n**(3241\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*t - 46 = -6, 4*t = 4*p - 60. Let u(l) = -l**3 + 10*l**2 + l - 2. Let a be u(p). Suppose -177 = 5*m - a*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*m**5 + 1808*m**4*u**2 - 2641*m**2*u**2 + m**2*u wrt m?\nAnswer: 1320*m**2 + 43392*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -13. Suppose -30 = -s*d + 4*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -15. Suppose u + 0 = -2*c + 4, c = -2*u + 5. Let x be (-1464)\/(-15) - u\/(-5). Calculate the greatest common divisor of p and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -50. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*r + 7 = 0, 68*r - 172 = -4*k + 48 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11477?\nAnswer: 23, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-15))\/((-6)\/(-20)). Let c be 2 + (-2)\/h*2. Solve c*d + d + 12 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -22*b**3 + b**2 - 1. Let m = -4 - -3. Suppose 15*j = 19*j - 260. Calculate the remainder when j is divided by z(m).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 48*v**3 - 28*v**2 - 5*v + 112. What are the prime factors of k(8)?\nAnswer: 2, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a7 (base 13) to base 4.\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -3, 1, 4 in ascending order.\nAnswer: -5, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 117*u + 70. Let j be 3 + (-1 - 5) + 11. What are the prime factors of x(j)?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2366, 4847, 7328, 9809, 12290, 14771?\n\"Answer: 2481*g - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 1, a: 2, g: 2, e: 1}. Give prob of picking 2 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 14*r**2 - 15*r - 98. Let o be d(9). Is o greater than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 578 or 577?\nAnswer: 578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4) + (-14)\/4. Let p(l) = l + 1. Let x be p(-3). Sort x, -3, w.\nAnswer: w, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 26432?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-159)\/530)\/(6*((-8)\/10)\/2)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*a + 145*a - 28 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -483 + 486. Let d = 3 + -5. Put d, -1, f in decreasing order.\nAnswer: f, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156092 divided by -2\nAnswer: -78046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 23*t - 16. List the prime factors of a(10).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2. Let d = -14 - -16. Let o(x) = x**d + x + 0*x - x. Give o(f(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1614, -6342, -14220, -25248?\n\"Answer: -1575*o**2 - 3*o - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*d**3 - 241*d**3 + d**4 - d + 2*d**2 + 2*d - 3*d - 158*d**3 to the form z + x*d**2 + m*d + i*d**3 + c*d**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/9 (b) -770 (c) 5 (d) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/9666745 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n**3 - n**3 - 13*n**3.\nAnswer: -35*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23 + d401?\nAnswer: d424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 76 - (-22 + -14 + 85)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 7:53 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r - 10 = -32*r + 3*l, -3*l = 3*r + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + a = -5, 8*r - 13*r = 4*a - 31. Solve 2*q + 5*h - 3 = 0, r*q = 3*h + 1 - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12)*-3)\/(84\/1568)*3\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2 = -3*v, -4*v - 2*g - g = -21. Let z be 2\/4*v - (-69)\/(-138). Solve z*d = -11 + 3, -f = -5*d - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4421241 - -496.\nAnswer: 4421737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/((-504)\/(-81)))\/(12\/64)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35372, 70766, 106158, 141548, 176936?\nAnswer: 212322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -80*a**2 - 17*a + 285. Let p be c(12). Round p to the nearest 100.\nAnswer: -11400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008726280588 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvtccltllt. Give prob of sequence ct.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90 - -170. Let g = d - 89. Is 18 + (-3)\/(g\/(-12)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*d - 34352, 5*d - 17164 = i - 0*d. Let c be (-10)\/45 - 1\/9*i. List the prime factors of c\/20 + 18\/30.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**(2\/15)*p*p)\/p*p\/p**(-1))\/(p**2\/(p\/((p\/(p*(p*p*p**2)\/p*p))\/p))))\/((p**(-1\/4))**(-19\/5)\/(p**(-2))**(1\/23)) assuming p is positive.\nAnswer: p**(9793\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxx when three letters picked without replacement from {x: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = -9*m - m + 275. Solve -7*u - m*u = -90 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 488436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 7) + 8 - -8 - (-7 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 15 = 5*a - s, -5*s = 0. Solve a*i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-1)\/(-6)*0\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 4)\/8*(9 + (-675)\/99)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117.307 weeks in days?\nAnswer: 7821.149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**3 - 11*t**3 - 2*t**2 - 8 + 9 + 5*t as a*t**2 + h*t + d*t**3 + v and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 0*t - 30 = -4*o, -14*o + 13*o + 7*t + 144 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 7. Let y be (2\/f)\/(11\/(-22)). What is the third biggest value in 4\/5, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 36*x**5 + 19*x**2. Let p(t) = 9*t**5 + 5*t**2. Let f(b) = 18*p(b) - 4*s(b). What is the third derivative of f(c) wrt c?\nAnswer: 1080*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 57.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5297 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 244 and 427.\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2156, 4312, 6468?\nAnswer: 8624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 948.32 kilometers in meters?\nAnswer: 948320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**3 - 7*m**3 + 4*m**3)*(-11*m + 0 + 8*m - 2).\nAnswer: 24*m**4 + 16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -286? (a) 5 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -101*q**3 - 3*q**2 - 2*q. What are the prime factors of w(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/y)**(-1\/74))**38\/((y**(-1\/2)*y)**(19\/5))**(-40) assuming y is positive.\nAnswer: y**(2850\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1386620 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -56925061 > -56925048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216470 is divided by 12025.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*h**6 - 132*h**5 - 2*h**3 - 35*h**2 - 2628780 wrt h?\nAnswer: -4800*h**3 - 7920*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 22*h**2 + 22*h - 25. What is i(21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -654, -1306, -1960, -2616, -3274, -3934?\nAnswer: -4596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/50616 and 75\/11248.\nAnswer: 101232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 8:11 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 723*t**4 + t + 24*t**2 - 714*t**4 - 25*t**2 - t**3 to z*t**3 + c*t**2 + g*t**4 + i*t + p and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027538112 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -183710\/21173?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 11*f - 28. Let u be r(6). Let d be 7\/(u - -40) - (-2)\/(-12). Sort 1, d, 7, -1 in ascending order.\nAnswer: -1, d, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 449779918 or 449779917?\nAnswer: 449779917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 260 = -3*i + 285, -5*d - i = -35 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1506, -6129, -13834, -24621?\n\"Answer: -1541*s**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5776*l + 86621. Determine s(-15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-2*(18 + (-35561)\/1978).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77580597 and 8178.\nAnswer: 4089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 192\/(-14336)*-56*(-2 - 204\/(-90))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2983 - 2988. Let f(h) = -1102*h**3 - 87*h**2 + 87*h - 87. Let d(v) = 63*v**3 + 5*v**2 - 5*v + 5. Calculate z*f(g) - 87*d(g).\nAnswer: 29*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - s + s + 80*s**2.\nAnswer: 80*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 828, 826, 824?\n\"Answer: -2*p + 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -2. Let b(z) = -1 - 78*z**2 + 77*z**2 - z**3 + 7 + 2 - 7. Let q(c) = -4*c**3 - 8*c**2 - 2*c + 4. Let p(s) = f*q(s) + 3*b(s). Give p(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 5*u + 11. Let b(h) = h + 1. Let q = -303 + 304. Calculate q*o(k) - 6*b(k).\nAnswer: -k**2 - k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 8*w + 26 = -9*w, 0 = 2*m - 3*w - 22. Suppose 2*o - 32345 = -5*j, 3*o = m*j - 13*j - 6469. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6*46\/1173?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -1.19.\nAnswer: -5.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8166883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102672 and 467.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8856 to 2 dps.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -176382 divided by 58794?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - y - 2. Let n be y\/(-1) - (6 - 7). Solve 3*j + 5 + 10 = n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 56.6. Let v be 1\/6*(5 - 8). Let p = 103 - 928\/9. What is the third smallest value in s, v, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/((-40)\/6))\/((-4)\/(-20)). Let t(z) = 1268*z**2 - 23*z + 79. Is t(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49, 48, 49, 52, 57, 64?\n\"Answer: o**2 - 4*o + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1493*l**4 + 3004*l**2 - 39170190?\nAnswer: 5972*l**3 + 6008*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 7*j**3\/3 - 2*j. Let u(v) = v. Let a(r) = -7*r. Let m(p) = a(p) + 6*u(p). Determine m(x(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18724 - -35153. Round y to the nearest one hundred.\nAnswer: 16400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.487 - 290.487. Let k = l + 289.999704. What is k rounded to five dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 471218341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 + 0 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rar when three letters picked without replacement from {a: 1, x: 1, y: 1, u: 2, r: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 10*w + 12.\nAnswer: 2*(w - 3)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -62. Let u = 59 - -38. Suppose u = 2*j - j. What is the remainder when j is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 5*w - 1. Let f be h(-3). Suppose 2*j - 188 = -2*j. Suppose f*x + 7 = j. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*d + 2*d - 9, -28 = -4*m - 4*d. Suppose 2*r - 3*l = 234, -m*r + 3*l + 87 = -498. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = 4. Let u be (-4)\/8*(-5)\/((-15)\/(-18)). Solve 5*j = -c*q - 20, -u*q - 2*j = -3*j - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19\/2, -1443369\/2, -5 in ascending order.\nAnswer: -1443369\/2, -5, 19\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3 - 3 = 0. Suppose -4*r + 6 = -z*r, -3*r + 24 = 3*c. Let g(a) = 2*a + c*a - a. Let n(p) = -p. Calculate g(n(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -293318022 <= -293318019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*f**4 + (-3 - 1 + 2)*(40*f**4 - 61*f**4 + 31*f**4).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**22*m**(-3)*(m**(-2)\/m)\/m)\/((m\/(m*m\/(m**(-3\/8)*m*m))*m**6)\/((m*(m*m*m*m**(-1\/5)\/m)\/m)\/(m\/(m*m\/m**(3\/8)*m)))) assuming m is positive.\nAnswer: m**(-161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 25 + 62 = 0. Calculate the remainder when 54 is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m - 10*m - 5*m - 3*m to the form v + a*m and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 175 + -170.97. Let o = h + -0.03. Which is the nearest to -0.1? (a) 0.3 (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0736728 - -0.8736728. Let w = 0.1 - 0.21. Which is the nearest to -1? (a) w (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1837470 divided by -6.\nAnswer: 306245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcqccqvcv. Give prob of sequence vc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1)\/3 + (-110)\/(-132)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51519922 to the nearest one million.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-3) + 70*-12. Let y = t - -2554\/3. Find the common denominator of (-2)\/(-6)*162\/(-8) and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91\/67 + 17894\/201. Let x = q + -87. What is the nearest to -3 in x, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -375072, -1500213, -3375422, -6000699, -9376044, -13501457, -18376938?\n\"Answer: -375034*a**2 - 39*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - 98. Let y be (-7)\/k + (-5)\/(-12). Let d = 17\/198 + 3\/22. Put d, 2\/13, y in decreasing order.\nAnswer: y, d, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -259*p - 2159?\nAnswer: -259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 91 = -3*p + 2*p - 13*z, 0 = -17*z + 323 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2433*c**2\/4 - 7307*c\/4 - 6 = 0. Calculate c.\nAnswer: -3, -8\/2433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -21. Let h = 1 + 4. Is 118\/r + (-3)\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 2*j - j)*(3 - 2 - 4)*(-51964 + 51964 - j**3 - 23*j) + j**4 + j - j.\nAnswer: 4*j**4 + 69*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 11\/7)*(-70)\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.45335 to 1 dp.\nAnswer: -68.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + ((sqrt(95) + sqrt(95) + sqrt(95)*2 + sqrt(95) + sqrt(95))*-4 - sqrt(95)))\/sqrt(5) + -4 + sqrt(57)\/(sqrt(3) - sqrt(27)) + 3.\nAnswer: -49*sqrt(19)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**3 - 6*u**3 + u**3 - 52*u + 155*u + 3*u**3 - 3*u**3.\nAnswer: 5*u**3 + 103*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 852.5791106062\nAnswer: -857.5791106062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-22)\/88 - 594\/(-8).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u + 31848 = 31208 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d5 - 4?\nAnswer: -1d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 9*v**2 - 12*v - 11. Let g(c) = 2*c**3 + 18*c**2 + 25*c + 23. Let l(f) = -7*b(f) - 3*g(f). What is the units digit of l(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3012031003 (base 4) in base 12?\nAnswer: -331997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 18*i - 7. Determine t(6).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1624)\/264 - -7) + 7\/((-21)\/2). Which is the third smallest value? (a) 2\/17 (b) 1 (c) 2 (d) g (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1368)\/1596)\/(-8*(-11)\/(-8624)*3*1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 72. Suppose -x + 12 = 3*z, 2*z - 14 = -2*x + z. Suppose 4 = -s + 3*y + 20, 0 = -3*y + x. What is the highest common divisor of n and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29140300\/3 or -9713433?\nAnswer: -9713433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/4*(-16)\/30*2043\/454?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, b: 2, m: 5, a: 1, k: 3}. Give prob of sequence bbi.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/90 and 24\/(-50)*(-630)\/(-4080).\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 391 - 218. Let b(h) = 117*h**3 + h. Let a be b(-1). Let m = a + l. Round m to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/3 - 2*f**4\/3 + 18*f**3 + 54*f**2 + 36*f = 0. What is f?\nAnswer: -3, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 111001111011?\nAnswer: -111001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**3 + 4*u. Let n(q) = -q + q**3 + 66 - 66. Determine -12*n(d) - 3*w(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + -1 + -2 + 1.\nAnswer: -2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 39 = 2*n - n - 4*n, -10*n + 50*f - 13 = 7 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(5)*-4 + sqrt(5))**2 + (sqrt(40)*-5)\/sqrt(8)).\nAnswer: -500 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(0 - (-9)\/(-150)). Let k = m - 146. Let r = k - 13. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, s: 11, q: 3, e: 1}. Give prob of picking 1 q and 2 y.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(117) - (sqrt(117) + 1))*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from cxxcxxppcpc.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 4293.74471.\nAnswer: -4275.74471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -13027319*f**2. Let g(l) = l**2. Determine g(t(m)).\nAnswer: 169711040327761*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h + h**5)*(4774 + 9803 + 2926 - 410).\nAnswer: 17093*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + 21. Suppose 3*y + 5*g - 4*g = -37, -z = 4*y + 4*g. Let k = 50 + y. What is the greatest common factor of k and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6306.\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r, -2*u = -6*r + 2*r + 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255, 512, 769, 1026, 1283, 1540?\nAnswer: 1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -607967, -1215938, -1823913, -2431892?\n\"Answer: -2*u**2 - 607965*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 6*f - 15. Suppose -p - 8300000 = 5*d, 3*p + 13896166 = f*d - 11003834. What is p rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**3\/3 + 5*l**2\/2 - 4. Let b be p(4). Calculate the highest common divisor of 252 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 54*x**2 + 57*x - 44. Calculate the remainder when o(55) is divided by 40.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1669 = -8*t + 1781. Let b = 100 - 65. What is the highest common factor of t and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -35*k**2 - 11338*k + 709. Give h(-324).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -3 - (15 - 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2 - 3248*q - 12960 = 0.\nAnswer: -1620, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 26. Let s be n\/3 - (0 - 511\/21). Solve v + v = -4*u + 14, -5*v + 5*u - s = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 22*m**2 - 41*m - 118. Give v(-20).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*r**3 - 79*r**3 - 3*r**3 + (-3*r**2 - 2*r**2 + 3*r**2)*(r - r + 2*r).\nAnswer: -134*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69788 - 69785. Suppose 5 = 5*j - 5*x - 30, x = 5*j - 55. Solve 0 = 4*d + 2*c + j, 0 = -0*d + 3*d - l*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -278, -312, -252, -68?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (260 - 260 + 791)*(-3 - 1 - 3)*(-3*g + 2*g + 3*g) to the form u + d*g and give d.\nAnswer: -11074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13768 and 6472681.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4907 - -4672.7. Let h = x + 234. Let v = -36 - -18. Which is bigger: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 110480*k - 110485.\nAnswer: 5*(k - 1)*(k + 22097)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 167251154 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3, -46, 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(7\/(-66)))\/((153\/340*-10)\/3)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*h + 1949 + 2182 - 3807 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30388297 to the power of 1\/3, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-120)\/6120*(-85)\/50).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2100.6 - 2143.5954. Let a = m - -43. Round a to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 11*l**6\/120 + l**5\/30 + l**4\/12 + l**3\/3 + 908*l**2. Let m(v) = -10*v**3 - 3*v**2 - 3*v - 3. Calculate -3*a(p) - 2*m(p).\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 9:04 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066 equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 795\/4, 0.5, -4, 2\/7 in increasing order.\nAnswer: -4, 2\/7, 0.5, 7, 795\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**7\/189 - 4*v**6\/135 + v**5\/18 - v**4\/27 - 5*v. Factor b(s).\nAnswer: 2*s**2*(s - 2)*(s - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251443.11 minutes to hours.\nAnswer: 4190.7185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 211403 (base 5) to base 15\nAnswer: 2188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-1 + 4 + -1 - -1). Let s(a) = -401*a**3 + a**2 - a - 1. What is the units digit of s(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -38*d + 3. Calculate the remainder when k(-3) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 4*l + 1. Let m be j(3). Let k be (-4 + (-112)\/(-35))\/(m\/(-30)). Does 4 divide (-1)\/((k\/2)\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9*w + 197. Let u be y(-42). Let z = u + 288. List the prime factors of z.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2246 = -71*k - 826. Calculate the least common multiple of 348 and k.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuukjxkdxxk. What is prob of picking 2 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -1.2 (c) 4 (d) -5.94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(110) - sqrt(110) - sqrt(110))\/(sqrt(10) + (sqrt(10) - sqrt(30)\/(1*sqrt(3))))*4.\nAnswer: 52*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14*(-11)\/(-539) + 125058\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134540432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, v: 1}. Give prob of sequence cv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34344 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1242*t**5*y + 2*t**4*y - t**3*y - t**2*y - 2*t**2 - 430*t*y - 17*y wrt t?\nAnswer: -74520*t**2*y + 48*t*y - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g**3 + 3*g + 3. Determine k(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 p when four letters picked without replacement from xjqxpxxxpjpxj.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -23a23?\nAnswer: -23a1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.14 - 1.284. What is n rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*a**2 + 8*a**2 - 3*a**2)*(5 + 0 + 1)*(1 - 3 + 4).\nAnswer: 252*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 6. Let z = 2 + -3. Let p be 5 - z - 6\/3. What are the prime factors of l(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 0 - 3*c + 1 - 5. What is the lowest common multiple of 10 and o(-6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 - 10*k - 7. Suppose -5*o + 17 = 2. Let h be r(o). Let n(g) = -21*g**3 + g**2 + 2*g + 1. Determine n(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**27*u)\/u*u)\/u*u)\/((u*u**(-4))\/u))\/(u\/(u**(-10)*u)*u**12\/u) assuming u is positive.\nAnswer: u**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 13*u - 17. Let d be n(7). Let v(p) = p**2 + 8*p - 11. Let r be v(d). Solve -2*i - i + r = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 0*f. Let b = 2 + f. Does 16 divide (24\/3)\/(b\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 316, 636, 958, 1282, 1608, 1936?\nAnswer: 2266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0449019 * -1.\nAnswer: -0.0449019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4d6 (base 16) to base 5.\nAnswer: -14423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {n: 3, b: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-126)\/444)\/21?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 417\/(-5143)*(-185)\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111 + 262 + 2*g + 4 with respect to g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 + 34. Let v = d - -16. Let u = 6.13 + v. What is u rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 9) in base 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1440883.\nAnswer: 1440883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -d40ad?\nAnswer: d40b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9346.1 - -9346. Let j = 1.6 - 17.6. Suppose 4*r - 8 - 4 = 0. What is the nearest to z in j, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33796*a**3 + 591*a**2 - 265418200*a wrt a.\nAnswer: -202776*a + 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2477439ml in litres?\nAnswer: 0.0002477439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.127 + 2.827. Which is the closest to 31? (a) 0.2 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-45))\/((-3)\/(-63)*-2).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/9 + 8\/(-126). Let z = -0.05 - -0.45. Let i = 2 - 4. What is the biggest value in z, i, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*m + t, -5 = -m - 0*t + 2*t. Let j = 118 + -115. Let l be 2 + 0\/j - (0 - -1). Solve m*y + 11 = l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -2. What is the common denominator of (-130)\/(-80) - 10\/(-2) and 2\/(-4) - 13\/h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7495 by -5.\nAnswer: 1499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -750\/11 - -68. What is the smallest value in l, 2\/17, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - 234*o**2 - 1 + 463*o**2 - 238*o**2 to the form r*o**2 + b*o + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from lrkrrlkrklrllrl.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(13) - (-6*sqrt(13)*-5)**2) + -4.\nAnswer: -sqrt(13) + 11696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 v when three letters picked without replacement from leravrv.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/3)*j*j\/(j\/(j*j**(-1))))\/(j**(-3)\/(j\/(j\/(j*j*j*j**5\/j*j))*j*j)) assuming j is positive.\nAnswer: j**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(143)*-2 + sqrt(143) - sqrt(143))\/sqrt(11) - (sqrt(208) + 1)).\nAnswer: 5 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9502 - -20849. List the prime factors of f.\nAnswer: 7, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1024 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3791 - 2821. What is the greatest common divisor of n and 3686?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33314 + 33314 - 66629 - 8*d**2.\nAnswer: -8*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3 + 2. Suppose 12*f - 636 + 168 = 0. Suppose -20 = f*r - 44*r. What is the remainder when b is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4585?\nAnswer: 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000\/126 - ((-83985)\/693 - -121)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 0 + 1 - 7*g**2 + g**3 + 4*g**2. Let b be w(3). Let l = 9 - 6. What is the nearest to b in l, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9540 and 450.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5513.41 and -659.\nAnswer: -3633337.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 6*i. Let s(j) = -1. Let r(v) = d(v) - 5*s(v). Let x be r(8). Suppose -3*f + 178 = -2*q, -2*f + x = q - 4*q. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + 7. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+568\nAnswer: 568.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-128)\/36)\/((-6880)\/201240)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -14*c**2 + c - 3. Suppose 0 = -k + 2*l + 1, -41*k = -42*k + 5*l + 4. Calculate w(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 0.3 (c) -1\/3 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8213*i**3 - 12492*i**3 + 6856*i**3.\nAnswer: 2577*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d + 29*d - 3*d**2 + 8*d**2.\nAnswer: 5*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2914, -2977, -3084, -3235, -3430, -3669, -3952?\n\"Answer: -22*o**2 + 3*o - 2895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 9 + 89*i)*(i - 1 + 1) in the form x + u*i + k*i**2 and give k.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 56827, -53, 5 in decreasing order.\nAnswer: 56827, 5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, w: 3, z: 1}. Give prob of sequence wbwb.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = 76 - 25 + 37 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*x + 24 = 0, -86*x + 87*x + 11 = -4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/26 + -671*(-18)\/28314. Are -54 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4)\/x)\/x)**(2\/5)\/(x\/(x\/((x*x**1*x)\/x)))**32*((x\/(x**(2\/7)*x))\/x)**(-30\/7)*(x**0)**(-29) assuming x is positive.\nAnswer: x**(-29003\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 29. Suppose h*r + 27 = 87. Solve -3*x = 2*x - r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/25)\/((-165)\/25)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 - y**2 - y - 1. Let w be f(2). Let t = w + 35. Suppose -s = o - 4, -s = -o + t*s + 4. Solve -o = -2*r + 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -343422 + -103320?\nAnswer: -451142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -180 greater than 92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -5*g + 2, 3*v + 3 = -6*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 211240*o - 11622*o**2 - 105620*o - 105621*o in the form y + d*o + x*o**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6\/7)*a**31\/a)**(16\/7) assuming a is positive.\nAnswer: a**(3264\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 259*i + 321*i + 5 - 390*i.\nAnswer: 190*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (216\/(-315))\/(-4) - 9\/(-21). What is the nearest to -2 in 5, 31, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/6 and 49\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2442*m - 2571*m + 3982*m.\nAnswer: -1031*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8662067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000799452 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 6*l**2 - l - 6. Suppose -5*r - 5*c - 15 = 0, 0*c + 1 = 3*r - 2*c. Let n be -4 - (5 - (2 - r)). Give q(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10472 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 4*i**2 + 6*i**2 - 6*i + 16 - 5*i**3 to h*i**3 + u*i + m + t*i**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/3)*n*n\/(n**(-6\/7)\/n)*n*(n\/(n**(2\/3)\/n))**(3\/25) assuming n is positive.\nAnswer: n**(2459\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -25*w**3 - 56*w**2 - 103*w + 1. Give u(-2).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1\/8238 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*u + 15*u - 49*u)*(0*u**2 + u**2 - 2*u**2 + (-2*u + 0 + 0)*(-3*u - 4*u + 5*u)) as q*u**2 + o*u + a*u**3 + r and give a.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3\/3 + 11403413*u**2\/3 + 22806829*u\/3 + 11403415\/3 = 0.\nAnswer: -1, 11403415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 + 7*h**2 - 539*h - 7. Let d(t) = 2*t**3 - 5*t**2 + 360*t + 5. What is 7*d(u) + 5*m(u)?\nAnswer: -u**3 - 175*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -425627, -852068, -1278509, -1704950?\n\"Answer: -426441*a + 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 + 8*j - 7*j - j - 3*j**3 as a*j**3 + k + x*j**2 + l*j and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -694*f**2*i**2 + 38*f**2*i - f*i + 3*f wrt i?\nAnswer: -1388*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 - (33 - 45)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1138773 or 1138775?\nAnswer: 1138773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13668 + -363. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2734709 and 0.\nAnswer: -2734709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*t = 188, 3*t + 88 = 2*s + 7*t. Calculate the remainder when s is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = 3*h - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.8 + -0.6. Let j = f - 0.2. Let a = 113\/20 + -21\/4. Which is greater: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 90 = -5*u - 42, 2*r + u - 101 = 0. Suppose 4*c - r - 35 = 0. Calculate the remainder when c is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 93\/4 of a year?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5329? (a) 38 (b) -3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.98825 weeks to microseconds.\nAnswer: 29628093600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86623552121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 6*z**2 - 3*z - 2. Suppose -4 = -2*g - 16. What is the units digit of c(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 + -3.93. Let i = 1.37 - -0.53. Which is the closest to -1\/2? (a) t (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 72 = y. Calculate the remainder when y is divided by (0 - -1) + -12 + 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30797, 61591, 92385, 123179, 153973, 184767?\nAnswer: 215561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-3))\/((-3)\/(-18)). Suppose -20 = x*d + 3*d. Let m be 2 - (d + 3) - -2. Let z(r) = r - 1. Calculate z(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 340 + -635. Let t be ((-6)\/6)\/(v\/147 + 2). Suppose 149*c = t*c + 68. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -87\/50*m**5 + 36\/5*m**3 + 1\/10*m**6 + 0 + 94*m + 39\/5*m**4 + 0*m**2. Factor i(v).\nAnswer: 3*v*(v - 6)**2*(5*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070312?\nAnswer: 2, 337, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/217518921 or 0?\nAnswer: -8\/217518921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 456647692924 + -0.5\nAnswer: 456647692923.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n\/(n*n**(-3\/7))*n)\/n)*n**(-17)*n**(-13)*n**14)**(-20) assuming n is positive.\nAnswer: n**(2300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -31*d**2 + 63*d + 3. Calculate a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2111503727 - 1.76\nAnswer: -2111503728.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.406 * 15.\nAnswer: -6.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccbbccoccocpcccobb.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**2 + 2. Let a(w) = -214841748*w + 214841790*w + 1 - 4. Give z(a(t)).\nAnswer: -84*t + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 93 = 37. Let s be -3 + -2 + (5 - p\/(-312)). Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1674?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3474613 - 4.\nAnswer: 3474609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 4*i**2 + 7*i - 6. Suppose 5*k + 2*g + 10 = -3*g, 28 = -4*k + g. Let z be p(k). Solve 2*v = -4*j + z, -2*j + 5*v = -6*j + 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x - 5. Let j be k(-5). Let l(o) = o**2 + 16*o - 4*o - 5*o - 6*o + 47*o**3 - 5. Let u be l(j). Round u to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 + -61. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175238463.\nAnswer: 3, 19, 367, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 - (10 + (-24 - 22)) - 2.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/6 (b) 0.1 (c) 2\/13 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232945, -932261, -2097959, -3730045, -5828525, -8393405, -11424691?\nAnswer: -14922389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*u**5 + 28*u**2 + 6*u**2 - 162 - 2*u**6 + 324 - 162 wrt u?\nAnswer: -240*u**3 - 3900*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + j + 3*j = 25, 2*j - 14 = -4*t. Suppose 2*y = -2*y + 4. Suppose -t + y = f. Solve f = 4*r - 14 - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**3 - 2198*w**2 - 613670*w - 5346450 = 0.\nAnswer: -545, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5392302, 5392304, 5392306?\n\"Answer: 2*a + 5392300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1*sqrt(17) - sqrt(17))*1 + 3*(1 + sqrt(17) + -2))**2.\nAnswer: -2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by 570.\nAnswer: 43\/570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + -9 + -84 + 80.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -33\/2*r**2 + 0 - 7\/3*r**3 - 13*r. Differentiate v(m) wrt m.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**2 - 1173*p + 577*p - p**4 + 43*p**4 + 574*p in the form c*p + h*p**4 + y*p**2 + i + a*p**3 and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:54 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/3 (b) -600 (c) -1\/2 (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2374240 and 655.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36690\/91 + 165459433\/410410. Calculate the common denominator of x and -167\/5412.\nAnswer: 27060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59818304.208 plus 389?\nAnswer: 59818693.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -552*v**4 + 25*v**2 - 546683*v wrt v.\nAnswer: -6624*v**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5 + 32397*u**4 - 87512376*u**3 + 262245624*u**2 + 129552*u - 349660848 = 0. Calculate u.\nAnswer: -1, 2, 5398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 821 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 247567594 divided by 2?\nAnswer: 123783797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-17 - -4) - (-20 + 7 + (0 - 5))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 1. Let x(z) = -5*z - 5. Let g(p) = 34*d(p) + 6*x(p). Let w(i) = 3*i + 4. Let q(k) = -4*g(k) + 5*w(k). What are the prime factors of q(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*0\/1 - 25\/10?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 39*l - 363. Let m be n(-23). Solve -5*q = -5*t + 25, m = -3*q + t - 0*t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1528321 + -15?\nAnswer: 152830b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -761*s**7\/210 + s**5\/20 + 865*s**3\/3 + 2930*s**2. Differentiate q(v) wrt v.\nAnswer: -3044*v**3 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-27))**45 assuming m is positive.\nAnswer: m**1260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 4*i - 72. Calculate m(12).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - 0.1. Let r = -0.314 + -0.076. Let c = -0.09 - r. Sort c, -2\/11, h.\nAnswer: h, -2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147\/2 - -72. Which is the third smallest value? (a) -6 (b) -7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.4 + 24. Which is the smallest value? (a) 4\/3 (b) -0.9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000346844177 rounded to 6 decimal places?\nAnswer: -0.000347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17125, -0.3, 0.4?\nAnswer: 17125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.66 greater than 10457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**5)\/s)\/s**4*(s\/(s\/(s**(-1\/4)*s)))**(-1\/32) assuming s is positive.\nAnswer: s**(-1155\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 4059\/132 - (-97)\/20\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 29 = m, 4*i - 7206 = -4*m - 7226 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3040201 - 3*q**2 - 7*q**2 + 3040201.\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g - 6. Suppose -d + 14 = -5*y - 8, -3*d + 4*y = -22. Let w(b) = 5 + 0 - d + 7 + 3*b - 4. What is 5*o(n) + 4*w(n)?\nAnswer: 2*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2752 = 2*a + s + 3*s, 0 = -5*a - 2*s + 6920. What is the highest common factor of a and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a kilometer in meters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 458 - -1125674?\nAnswer: 1126243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 12 = -2*t, 38 = 2*k + 51*t - 56*t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 4 = 16. Let t be 39\/(-12)*s - 33\/22. Let h(q) = -8*q + 1 - 3 + 5*q**3 + 10. Let n(c) = -3*c**3 + 5*c - 5. Determine t*n(l) - 5*h(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101100010000 (base 2) to base 10.\nAnswer: 27408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1110 + -1109. Let p = 0.9 + -1. Which is the nearest to p? (a) 4 (b) 4\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85132663\/15 at least as big as -5675511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one quarters of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00048292919 to 5 dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 63829420421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2342466 and 621.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1412482 (base 10) in base 7?\nAnswer: -15002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 6139566?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + 0.24. Let k(t) = t + 1. Let g be k(-2). Which is the second biggest value? (a) i (b) g (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + s = 5*s - 14, 0 = -5*k + 2*s + 23. Suppose 0*i - 3*i = -6. Let r be (-9)\/i*(-2)\/3. Solve r*o = -20 + k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9470 + -5?\nAnswer: 9465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-513)\/3249)\/((-6)\/(-4)). Let y = 0.2 - 0.7. Suppose 0 = 4*t - 0 + 4. Which is the nearest to t? (a) y (b) n (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 12901964700.\nAnswer: 12901964703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -21. What is the remainder when 13 is divided by (q\/(-4))\/(2\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1\/5))\/(z\/(z*(z**(-1\/10)*z)\/z*z)*z))**(1\/4)\/(((z\/(z**(-4)*z))\/((z\/(z\/(z\/(z\/z**5))*z))\/z))\/(z**(2\/17)\/(z*z\/z**(2\/21)))) assuming z is positive.\nAnswer: z**(-35873\/14280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 143487, 143501, 143527, 143571, 143639, 143737, 143871?\n\"Answer: u**3 + 7*u + 143479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32819 to 3 decimal places.\nAnswer: 0.328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*i*n*z**2 + i*n*z - 7*i*z**2 - 2*i - 235331*n*z**2 - 7149407*z wrt z.\nAnswer: -20*i*n - 14*i - 470662*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (sqrt(475) - sqrt(475)*-1)) + 4)**2.\nAnswer: -40*sqrt(19) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11997859 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 9*v - 1. Calculate m(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/4 (b) -5 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 289195, 578403, 867611, 1156819?\n\"Answer: 289208*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(3\/4*(-124)\/(-93)). Solve 2*f - 43 + 49 = p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -19*j + 4. What is n(12)?\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x - 4*x - 3*x + 3*x. Let j(s) = 11*s**2 + 9. Suppose -2*u = -5*u - 12. Let l(w) = 5*w**2 + 4. Let i(a) = u*j(a) + 9*l(a). What is i(y(p))?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4107964 by 293426.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 552658 a multiple of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 116103479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/3841 + 134411\/46092. Calculate the common denominator of -19\/858 and s.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18308 and 24564?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 1446*u + 29567. Determine c(20).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 + -59. Calculate the highest common factor of 93 and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352858?\nAnswer: 2, 11, 43, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -12*d + 136. Let n be h(11). Let m(u) be the second derivative of -u**3\/2 - u**2\/2 - 84*u. Give m(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*p + 39364, 39350 = 4*m - 20*p + 25*p. Is 82 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 976550 divided by -25?\nAnswer: -39062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, 0.2, 180, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 39. Let d be 337\/(-4) + (-4)\/h. Let k = 159 + d. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.052, -1\/3, -5 in ascending order.\nAnswer: -5, -1\/3, 0.052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/6 and 49\/106.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faaaffffwffawffa. Give prob of sequence ff.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 531 (base 13) to base 8\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/50)\/((-5)\/25).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94069*r**4 - 84*r**3 - 920*r**2 + 20*r + 12?\nAnswer: -2257656*r - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89526 is divided by 2355?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 71 = -0*s - 2*x, 5*s + 109 = -x. Calculate the remainder when 17 is divided by 2\/(-10) - s\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 206. Let r be h(0). What is the second derivative of 214*y + r*y - 415*y - 20*y**4 + 8 wrt y?\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 11:26 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1298*v**2*z**3 - 2*v**2*z + 2*v*z**3 - 5*v*z - 2*v + 1359*z**3 wrt v.\nAnswer: -2596*z**3 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177348017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 142403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21704256 divided by -27684.\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -690*l**3\/17 + 40024*l**2\/17 + 364088*l\/17 - 2112\/17 = 0. What is l?\nAnswer: -8, 2\/345, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13370473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = g - 6*g - t, 5*g = -4*t + 24. Let u = g - -35. Is 15 a factor of -8*1*u\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347919990 to the power of 1\/2, to the nearest integer?\nAnswer: 18653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cvccvcvcvccvc.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/2*(-1)\/3. Let w be m\/4*(-40)\/4. Let v = w + 9. Solve 0 = -v*p + 2*p + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/66 + 8\/3. Solve -r*z + 3*j + 21 = 0, -5*z + 2*j = -35 + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 2. Let h be z(-4). Let b(m) = m**2 - 2*m - 8. Give b(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 59*b**2 - 25*b + 11. Let f(h) = -29*h**2 + 12*h - 6. Let n(y) = -11*f(y) - 6*u(y). Find the second derivative of n(j) wrt j.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 7*d**2 + 8*d**2 + 0)*(-d + d - 5*d + 5*d + 11*d - 5*d + (3*d - 4*d + 0*d)*(-2 + 4 - 3)) to j*d**3 + g*d + a*d**2 + l and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from mssynqn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 268114 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -7*u. Suppose u = n - 5*h - 8, h - 3*h = 0. Let j = -3 + n. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18300498 + -5?\nAnswer: 18300493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.14 - 0.86. Let l = -13 - j. Let n = 13 + l. Which is smaller: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 49388 + 49400 + 49389 - 197567 + 49390.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119284769 to the nearest integer?\nAnswer: 10922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 6*z**2 + 3*z + 9. Give d(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeiieeei. Give prob of picking 1 e and 3 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.542 - 35923.848.\nAnswer: -35910.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*m + 36325 = 0, 2*m + 16822 + 55756 = 4*f. Which is greater: f or 18150?\nAnswer: 18150","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.149 + 2.831. Let m = r + -169.98. Let i = m - -166.99897. What is i rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 11*q**2 + 4*q - 8. Give l(-11).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 244 + -164. Suppose -47 = -3*v + 49. What is the highest common factor of v and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v + 39 + 32 - 71.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/629 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 5 (b) -0.2 (c) 2\/161 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -302233101?\nAnswer: 302233105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 406921320.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**3\/3 - 2*w**2 - 2*w - 1. Let b be u(5). Let r be 2*1 + (-18)\/b. Sort r, 5, -2.\nAnswer: r, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14193, -28368, -42523, -56652, -70749, -84808, -98823, -112788?\nAnswer: -126697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**4\/6 - 3*p + 41. Let a(r) = 490*r**2. Give l(a(s)).\nAnswer: -480200*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1045410 + -24?\nAnswer: 1045386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 - 4*p**4 - 2*p**4 + (-13*p**3 + 3*p**3 + 2*p**3)*(3*p - 3*p - 2*p).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1980 is divided by 220.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1162*v = 1313*v + 3322 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 96*w**2 - 575*w - 140. Determine k(-90).\nAnswer: 3010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 7*y + 4. Let u be v(6). Let q(z) = 8245*z**2 - z**3 - 4*z - 5 + z + 4*z - 8235*z**2. Calculate q(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/4)\/((-1)\/((-2)\/2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/9 + 304\/(-6). Let p = 70 + a. Let j(l) = l**3 + 5*l**2 + 2*l - 1. What is the remainder when p is divided by j(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -7. Let w = x - 2. Sort -2\/3, 0, w in increasing order.\nAnswer: w, -2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2987 or -224078\/75?\nAnswer: -2987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108791916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17347*c**4 - 10681*c**2 + 865514171*c.\nAnswer: 208164*c**2 - 21362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -94*j - 197. Let m be v(-2). Let n = -0.73 - -0.33. What is the smallest value in m, 2\/9, -4, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -91271, -91297, -91339, -91397, -91471, -91561, -91667?\n\"Answer: -8*i**2 - 2*i - 91261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -60314*j**3 + 797*j**2 + 280863590 wrt j?\nAnswer: -180942*j**2 + 1594*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13615*(27\/(-5) + 6). Let p = -4780 + h. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 630 and 225.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 6*n + 1 - 2*n)*(3*n - 3*n - n + (1 - 2 + 2)*(2*n - 4*n + 0*n) + 3*n - 2*n + n).\nAnswer: -2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/1288331 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8203*o - 370130 + 1350282 = -996*o for o.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24019, -24016, -24011, -24004, -23995, -23984, -23971?\n\"Answer: y**2 - 24020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27824627 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39150 is divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1466*o + 2. Let k be c(-3). Suppose 2*z - 6 = -3*z + 3*w, z = w. Suppose -z*u = -7*u - k. Round u to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436, 438, 452, 484, 540, 626?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/10 and 31\/7268172.\nAnswer: 36340860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11811 and 353.1.\nAnswer: 4170464.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1079 + 148 = 42*i - 383 - 784 for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-660)\/180*(-2 + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29.8 - -26. Let d = -2.8 - l. Let v be (-1 - -7 - 2) + -3. Which is the closest to d? (a) v (b) 0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -1.4, -1 in descending order.\nAnswer: 5, -1, -1.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g - 3. Let x be a(3). Which is smaller: 29 or x?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 832 = -2*j, -2*p = -j - 7*p + 410. What is j rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 15. Let k be m(-9). Let s(g) = 3*g + 1 + k - 4*g + 1. Let v be s(5). Solve 4*o + 1 + 7 = -3*z, v*o + 6 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 14*f - 13. Calculate p(5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Let l(k) = -3*k. Let i(r) = -4*l(r) + 9*o(r). Let q = -1 - -3. Is i(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**3\/2 + 3145*f**2\/2 - 45*f\/2 - 28305\/2 = 0.\nAnswer: -629, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2498231, 4996463, 7494695?\n\"Answer: 2498232*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 600, 2118, 4564, 7938, 12240, 17470?\n\"Answer: 464*n**2 + 126*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72614954999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, -26, -609, -1746, -3563, -6186?\nAnswer: -9741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 513 and ((-275)\/3)\/(-5) - (667\/(-87))\/(-23).\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 - 2 + 2 + (-25 + 8 + 12)*(b**2 - 3*b - 6*b**2 + 7*b**2).\nAnswer: -12*b**2 + 15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -2, -3, 3\/5, 3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b - 20 = 0. Suppose -3*q + 4*h = -429, -4*q = -0*h + b*h - 544. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4525.9 + 4526. Let m = 0.2 - 0.7. Which is the biggest value? (a) 3 (b) m (c) u (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4641737?\nAnswer: 1493, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 21. Let k = 5008\/407 + -462\/37. Put 3, k, y in decreasing order.\nAnswer: y, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**5\/140 - z**4\/42 - z**3\/42 - 20*z. Factor m(q).\nAnswer: -q*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**6\/360 - s**5\/120 + 19*s**4\/8 + s**3\/3 - 6*s. Let y(c) be the second derivative of i(c). Is y(0) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 16125092*q + 32502324001058.\nAnswer: 2*(q + 4031273)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -4\/5, 205770, -1\/2?\nAnswer: 205770","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 5. Let h = 3 - -3. Calculate j(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 77173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from ttttkltkttklttt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 + 370 + -4 + -45 + (1 - 1)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3696 + -5184. Let w = i - -995. Let f = w + 493.00269. What is f rounded to 4 decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*v = 0. Suppose n - 6*n + 25 = v. Solve -4*g**4 + n*g**2 + 10*g**3 + 4*g**3 - 14*g**5 - g**2 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + -1000110110011100?\nAnswer: -1000110110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n + 30*n - 56*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2\/9 (c) 0 (d) 30383\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1488320 divided by -297664?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -3, -1, -1.7, 0.1, -0.22 in descending order.\nAnswer: 0.1, -0.22, -2\/7, -1, -1.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25398 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/304 and 77\/216787416.\nAnswer: 433574832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/56 - 6\/16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 20*o**2 + o + 11. Let s be m(3). Let v = s - 198. Sort v, 1, 37 in descending order.\nAnswer: 37, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13455753 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22460441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 10:31 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 64*g**2 - 7*g - 434. Determine n(-64).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 - 56*s**3 - 48*s**3 + 13*s**3)*(272*s**2 + 111*s**2 - 6*s**2).\nAnswer: -32799*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7*16*(-78)\/416\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 1. Let h(y) = -5*y + 6. Let r(v) = v**3 - 9*v**2 + 8*v + 1. Let z be r(8). Let x(k) = z*h(k) - 6*w(k). Let m(i) = 12*i**2. Determine x(m(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 5200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3290116 or 3290445?\nAnswer: 3290116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1340 and -2?\nAnswer: -2680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.771 + 0.229. Sort -3, f, -2\/5, 0.14.\nAnswer: -3, -2\/5, 0.14, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Let -k**2 - 94*k - 2209 = 0. Calculate k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r + 17 - 6 - 11. Let j(q) = 7*q**2. What is j(b(s))?\nAnswer: 175*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9278084.\nAnswer: 2, 2319521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-4))\/l)\/l)**(3\/20) assuming l is positive.\nAnswer: l**(9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2 + 2*j + 6. Let m(n) = 2*n**3 - 38*n**2 + 19*n + 303. Let i be m(18). Let x(z) = z**2 - z - 1. Determine i*x(v) - p(v).\nAnswer: 2*v**2 + v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -341.\nAnswer: -4\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1862)\/sqrt(2)*-4.\nAnswer: -28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88.04 - -83. Let a = -5 - 0. Let r = a - z. What is r rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -131*h. Let o(a) = -76*a**2. What is o(y(n))?\nAnswer: -1304236*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 103677179, 207354357, 311031535?\n\"Answer: 103677178*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 4*v**2 + 6*v + 11. Let t be q(-7). Let a(y) = -t*y**2 - 117*y**2 + 228*y**2. Let j(u) = -u**2. Determine j(a(s)).\nAnswer: -25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6341 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -372996 or -1864984\/5?\nAnswer: -1864984\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - (-1 + -5) - (-3 + 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 7858598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1367 - -1366.99999279. Round s to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.212643 + 1.143033. Let n = -0.93 + p. Round n to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -803 + 449. What is the common denominator of j\/4*3\/81 and -87\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 269*k**2 + 131*k - 773. Is f(50) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 + -0.16?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 15*w - 40. Let q be x(-10). Let l be (-48)\/(-40)*q\/3. Let d be -8 + 6 + l\/((-8)\/(-730)). What is the greatest common divisor of 33 and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48357 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 35.5, -0.5, 3, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, y: 4, b: 3, u: 2, p: 5, z: 1}. What is prob of sequence qbqu?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -29, -63, -99, -131, -153, -159?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13992290 to the nearest 100000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(189) + sqrt(189) + sqrt(189)*1)*4)\/(sqrt(54)\/(sqrt(6) + sqrt(24))))\/(sqrt(108) + sqrt(108)*-2 + sqrt(24)\/sqrt(2)).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -734 + 728 = -w + g, 4*g = 3*w - 22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11680917 divided by -3?\nAnswer: 3893639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/126 and 32\/12541857.\nAnswer: 526757994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -28.56. Let r = -0.04 - t. Let z = -1 + 0.9. Which is the nearest to z? (a) 1\/2 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-44) - (-4704)\/22. Let o = s - 182. Calculate the smallest common multiple of o and 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26477 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*f + 85084 = 0, -1492*f = -1489*f + 18. List the prime factors of n.\nAnswer: 2, 11, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3402 by 6.\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3839, 7691, 11547, 15407, 19271, 23139, 27011?\n\"Answer: 2*k**2 + 3846*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -448 divided by -4?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(84) + sqrt(84)*-2)*-4 - (sqrt(84) - 5*(sqrt(84) - -2*sqrt(84) - sqrt(84) - sqrt(84)))))\/(sqrt(48) + sqrt(3072) + -1*sqrt(1728)) + -5.\nAnswer: -8*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, g: 4, t: 1, r: 1, b: 1}. Give prob of sequence bptg.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101475676?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 4*v**2 + 4*v + 27. What is h(-8)?\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 6:39 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -697*f + 809*f - 23968. What is the remainder when 4907 is divided by f?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -8.3. Let u = 0.023 + 0.187. Let c = -0.01 + u. What is the nearest to c in -1\/3, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and -0.15?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 248872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - l - 25 = -3*c, -4*c + 4*l + 4 = 0. Let n be -8 - -5*(c - -5) - -5. Factor 0 + 1\/6*y**n - 2\/3*y.\nAnswer: y*(y - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, z: 3}. What is prob of sequence zsz?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 635432668*y**4 - 685722525*y?\nAnswer: 7625192016*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 6:43 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 122456953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 11 = 85. Suppose -o*q + 15*q = -2. Suppose -l - 1 = -0. Put q, l, -2 in descending order.\nAnswer: q, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -8) + 25\/450 + (-3220)\/(-360).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2452 - -2445. What is the third biggest value in f, 1\/4, 12?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 160381 + 2?\nAnswer: 160383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 19*j - 298. Let n be h(3). Is n < -244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6) - ((-2)\/4 + 1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -5. Let t = d - 16. Put 0, -9, t in ascending order.\nAnswer: -9, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 62 - -1458256?\nAnswer: 1458328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -797, -1530, -2263, -2996?\nAnswer: -3729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 8*w = 957. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7830695267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.296 - -5.026. Let h = 3.9 - n. Let r = -0.83001072 - h. What is r rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 26 = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -35*x - 209. Let f be a(-6). What is the closest to 18 in -1\/3, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 160 - 155. Calculate the common denominator of (-133)\/(-20) - (-2)\/(-7 + v) and -47\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 700266.9 millennia?\nAnswer: 7002669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 at most as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -852 - -856. What is the fourth smallest value in 0.14, t, -0.5, -1\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5 = -4*k - 1, 3*h + 5*k + 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 3*w - 30, -19*w + 14*w - 18 = -3*r. Let h(l) = 25*l**2 - 6*l. Let a(b) = b. Determine r*a(c) + h(c).\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112695858 and 814.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149 - 30. Calculate the remainder when u is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -29\/2765098 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 288 - 112. Suppose 4*r - 4*x - 473 + 25 = 0, 2*r + 2*x = 232. Let t = s + r. Calculate the greatest common divisor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 1:06 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7889539.22 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 18*b + 74. Let c be a(5). Suppose -6 = -q - 2*q. Solve q*p - 3 = -c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -20. Let z be 38700\/(-108)*(d + -468). What is z rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -137487302*q**2 - 42*q + 756251 wrt q?\nAnswer: -274974604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13959052, -27918173, -41877294, -55836415, -69795536, -83754657?\nAnswer: -97713778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 - 91. Let v be 1 + (k\/(-4))\/(-3 - 0). What is the nearest to v in 0, -4, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 17. Let f = m + -11. Sort -4, 1, f in decreasing order.\nAnswer: 1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/3)\/(10\/66090) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76735999649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2. Suppose 3*y = -2*s - 0*s - 3, 0 = -s + 4*y + 15. Suppose h = -s*h + 8. Let k(t) = -3*t**h + 8*t**2 - 2*t**2 - t**2. What is k(a(c))?\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**6\/120 + r**5\/20 - r**4\/24 - 10*r**2 - r - 66. Let t(j) be the second derivative of f(j). Determine t(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 32. Suppose r + 12 = 4*y, 4*y - w*r - 28 = -r. Suppose 2*p + 22 = t - 2*p, -y*t + 2*p = -14. Solve 5*b = t + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 184\/661 - -413411\/13220. Let q = 123\/4 - u. What is the closest to 1\/10 in 0.3, q, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 122 - 243 + 129 - 5*k. Let h be q(-2). Calculate the highest common factor of 90 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23000 is divided by 72.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38005394 + -26441394. Round a to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p - 24 = 12*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 0 + 0*u**4 + 0*u**2 - 1\/10*u**5 - 3*u + 2\/3*u**3. What is the second derivative of y(a) wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 6*z**2 - 6. Let i be y(6). Let l = 4 - i. Let k = -1240 + 1240. What is the closest to -1 in 0.2, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 3*r + 3. Let i(n) = -n - 1. Let x(h) = 3*i(h) + m(h). Let d(g) = -4*g. Determine d(x(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = 13*m + 28. Suppose 0 = -0*i - i + m. Let n(a) = -a**3 + 6*a**2 + 9*a - 5. What is the smallest common multiple of n(i) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 5*p - 40, 4*p - 3*p - 29 = 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 divided by -36?\nAnswer: 217\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 76432314253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + v**3 + 0*v**3 + (v - v - v)*(-2*v + 2*v - v**2) - 3*v**3 + v**3 + 3*v**3 + 3*v**2 - 2*v**3 - 3*v**2)*(690 - 1252 - 2971).\nAnswer: -3533*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16*14\/2820*25\/(-255) and 44.\nAnswer: 7191","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 8 - 2)*(-430*l + 430*l - 13*l**5).\nAnswer: 260*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 4, -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57002 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1845*r + 119 = -1840*r + 3692*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 3\/5, -28\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 2 - 6) + 36. Suppose -5*k = 4*p - q - 29, p + 2 = 0. Calculate the remainder when k is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -287 + 292. Suppose 3*r + c - 462 = r, n*r - 4*c - 1168 = 0. Which is greater: r or 231?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*k + 336*k + 4*h = 14, -4*k - h - 19 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 + 301*v + 954. Calculate u(-97).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48109?\nAnswer: 48109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -27. What is the common denominator of i - -4 - (-54)\/(-8) and (-369)\/(-12) + 3 - 6\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 12*t - 3. Let p be x(-9). Suppose -2*k - p = -4*v + k, -k - 19 = -5*v. What is the first derivative of 2 + 6 - 5 - 3*h**v wrt h?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yywzzzyzywz. Give prob of picking 3 y.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 62, 63, 62, 59, 54, 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 343 + -338. Solve 0 = 2*y - 0*f - 2*f + 2, -p*y - 5*f = 25 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 356 and 40.\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/9, -20\/3, -2, -3, 4, -3\/4 in ascending order.\nAnswer: -20\/3, -3, -2, -3\/4, 10\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 3 + -11 + 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -15*p - 2. Let z(f) = -5 - 12 + 11 + 348*f - 394*f. Determine -10*a(q) + 3*z(q).\nAnswer: 12*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 159*j. Let g(i) = -99*i + 50*i + 47*i. What is n(g(z))?\nAnswer: -318*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 21 - 23 + 3*p)*(0 - 1 - 10*p - 5*p).\nAnswer: -45*p**2 + 387*p + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**6\/d)\/d*d)\/d)\/d*d)\/(d**(2\/9)*d)*d**5*d\/(d\/(d*d**1*d*d)) assuming d is positive.\nAnswer: d**(106\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 14 + 0*n**4 + 12\/5*n**5 + 22\/3*n**3 + 0*n**2 + 0*n. What is the third derivative of d(b) wrt b?\nAnswer: 288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {n: 7, r: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 167*s**2 - 20861*s - 1747. What is j(125)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3278153 to the nearest integer?\nAnswer: 1811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 6*k**2 - 6*k + 3. Let q = 22 + -29. What is h(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 + -15.01. Let r = f + 10. Do r and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128659?\nAnswer: 128659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -1)*(0 - -1). Let g(m) = 2*m**2 - 22*m - 16. Let h be -1*5*-1 + (-30 - -37). Let u be g(h). Solve -3*y + 1 + u = r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 547 - 179. Let i = x - 351. Let q(b) = 17*b**2 - 2*b + 2. What is the remainder when q(2) is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -399 + 394 + (0 - -8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 54\/(-8) + 3\/(-12). Let u = -7 - t. Solve 0 = -h - u*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1130 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, q: 1, k: 2, u: 2, j: 4, z: 4}. What is prob of sequence zujz?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 0.6 (c) -13\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*q - 127117 = 190899 + 641834. What are the prime factors of q?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357135178 a multiple of 334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -13, 11.4, -5, 2\/41, -0.5, -1?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 12:34 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**6 + 26691*h**5 - 76874*h**2?\nAnswer: 240*h**3 + 1601460*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245277459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-8 - (5 - -7))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6948*c**2 + 1080*c + 1078. Is 151 a factor of b(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-9) + (-16)\/(-72). Let a(m) = 24*m + 1. Calculate the remainder when a(f) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 35887*v**3 + v**2 + 5*v - 4. Let m(i) = -35888*i**3 - 2*i**2 - 6*i + 5. Let b(z) = -5*m(z) - 6*p(z). Is b(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or 29846343?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 22\/(-33) - (-38980)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/10 (b) -43 (c) 4586 (d) -0.4 (e) -1\/5 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -110, -214, -318, -422?\n\"Answer: -104*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -130750000 to the nearest one million.\nAnswer: -131000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/(2\/16). Let x(p) be the third derivative of p**5\/60 - 5*p**4\/24 + 3*p**3\/2 + 77*p**2. Let q be x(u). Solve -q*c - 2 = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2975931.\nAnswer: 3, 7, 47237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 771 less than -0.0544?\nAnswer: -771.0544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1098 divided by -9\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4424704 divided by 38144.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (-4)\/18*-9. Let g(s) = 13*s**2 + 40*s**x - 3*s**2. Let q(r) = -2*r**2. Calculate g(q(o)).\nAnswer: 200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 = -3*h - 3*f - 317, 4*h = 2*f + 6. Let l(g) = g**2 - 4*g + 5. Let n be l(5). Sort h, n, -5, 0 in decreasing order.\nAnswer: n, 0, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q + 16 = 0. Suppose -5*c + 25 = 0, -191*c + 188*c + 24 = 3*r. Put q, 2, r in increasing order.\nAnswer: 2, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 195 = 0. Suppose -3*g + 4*q = 270, -5*g - 223 - r = 4*q. Calculate the common denominator of (g\/(-8))\/((-1)\/(-4)) and 139\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + ((-1039224)\/3445)\/76?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6720 divided by -11\nAnswer: -6720\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -22. Let w(l) = 4*l**n + 20*l**3 + 4*l + 2*l**2 - 6*l + 1 - 2*l. Is w(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.68, -2\/15, 1.\nAnswer: -0.68, -2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 1 + 7572*m.\nAnswer: 7572*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 79, -3, 1, 3, -3105, 0.3 in increasing order.\nAnswer: -3105, -3, 0.06, 0.3, 1, 3, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q + 15. Let o(r) be the first derivative of -r**2 + 2*r - 39176 + 39064 - 2*r. Give o(y(p)).\nAnswer: 10*p - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 - 5 - (-14 - -19)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4343, 4, 3, -3 in descending order.\nAnswer: 4343, 5, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 - -4 - -3 - 2*-27. Suppose 44*o + 20 = i*o. Factor 2 + 25\/4*t**4 + 55\/4*t**3 - 3\/2*t**o - 7*t.\nAnswer: (t + 1)*(t + 2)*(5*t - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 413840, 827598, 1241356, 1655114, 2068872, 2482630?\nAnswer: 2896388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 4*o + 9*o**3 + 9*o**3.\nAnswer: 18*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 19 - 1 = 0. Differentiate 2*h + 0*h + 0 + d with respect to h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 3*x**2\/2 + 12. Let y(z) = -3*z**2 + 9*z - 9*z. Calculate r(y(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + (sqrt(252) + (sqrt(252) - (4 + (sqrt(252) - -5*sqrt(252)) - sqrt(252))))**2)*-3.\nAnswer: -6857 - 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2598*p**2 + 4960*p**2 + 0*p + 0*p - 2454*p**2.\nAnswer: -92*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -3. Let k = d + 16. Suppose -v + 21 = -k. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 308484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 0 + 0*m**5 - 11\/30*m**6 - 16*m + 0*m**3 - 3\/2*m**2 + 0*m**4. What is the first derivative of s(i) wrt i?\nAnswer: -44*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5466?\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1678248 and -14\/1952577.\nAnswer: 203068008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 5109?\nAnswer: 40872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**5 + 68*k**4 - 2108*k**3 - 4784*k**2 + 10746*k + 13356 = 0.\nAnswer: -53, -3, -1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n = -17*n - 21. Let u(y) = 3*y - 6*y + 3 - 5*y + y**2 + 1. Let g be u(n). Is 0 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w**2 + 36*w**2 - 54*w**2 + 33*w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -614, -3, -1 in ascending order.\nAnswer: -614, -5, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 9. Calculate l(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 6:19 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1006632 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 294872592 and 42124656?\nAnswer: 294872592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 42 = -0*h - 2*h, 0 = 4*q - 3*h - 47. Let x(o) = o**3 - 8*o**2 - 1. Let g be x(q). Which is the closest to g? (a) 0 (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -7 - 3. Let k be 24\/9 - 2\/3. Let x be 4\/18*(-33 + 42). Solve -k = -x*b + 4*w - w, y*b = -5*w - 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a**2 - 45453*a - 90896. Give m(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v**2 - 655*v - 669*v - 3*v**2 + 80 + 1334*v to the form s*v**2 + d*v + a and give a.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 + 95472*c\/7 + 9446914.\nAnswer: 2*(c + 703)*(c + 47033)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -135.9 in -291, 0.6, -2, 1\/6, -3\/8, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*1*(1 - 2). Suppose 3*i + 33 - 57 = 0. Put 5, i, g in ascending order.\nAnswer: g, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 17*j**2 + 95*j + 537. Let z(h) = -7*h**2 - 42*h - 268. Determine -4*a(y) - 9*z(y).\nAnswer: -5*y**2 - 2*y + 264","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 4:33 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 352\/(-264)*(1080\/16)\/9*54\/30\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + 21. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**5*z + 3800*k**2*z - 4*k**2 + 330*k*z + 2*k - 285*z wrt k.\nAnswer: 80*k**3*z + 7600*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 11*h**2 - h + 7. Let l be d(-11). Let o be (-141)\/(-27) + (-4)\/l. Sort o, -1, -4 in ascending order.\nAnswer: -4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 7 - 88) + 1 + -227 + 212?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10878 + -6099. Calculate the highest common divisor of s and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.225 + 2.195. Which is the nearest to 1\/3? (a) u (b) -0.5 (c) 3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -611*w**3 + 611*w**3 - 19*w**4 - 2*w**4 + 3*w**4 + 0*w**4 + (-w**3 + w**3 + 2*w**3)*(-5*w + w + 3*w) + 3*w**3 + 2*w**4 - 3*w**3.\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -11*j**2. Let z(u) be the first derivative of u**3\/3 - 8. Give z(s(x)).\nAnswer: 121*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2\/7 + 1980*q\/7 + 326700\/7 = 0. Calculate q.\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 23\/3*s**3 + s**2 - 2*s + 3. Is 6 a factor of v(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.01 (c) -1 (d) 0.1 (e) 2\/13 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3105 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*j = 20, -6*y - j + 40 = -2*y. Let i = y + -8. Suppose -2*h + 2 = -2*a, 4*a = 5*h - 2 - 4. Solve -u - 18 = -3*d, u - i = -2*u - h*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -38 + 87 - (5 + -2). Suppose -38*z**3 + 40*z**2 - 12 + 27*z**3 + 29*z**3 - v*z = 0. Calculate z.\nAnswer: -3, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134*a**2*n**3 - 2*a**2 - 81*a*n + 3*n**3 + 9*n**2 + 48*n wrt n.\nAnswer: -804*a**2*n + 18*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 74*d**2 + 240*d + 10. Calculate z(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24253, -25408, -27311, -29956, -33337, -37448?\n\"Answer: l**3 - 380*l**2 - 22*l - 23852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -23)\/((12250\/294)\/(-125))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*i - 15*i**2 + 15*i**2 + i**4 - 5*i + 213 wrt i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 + 3*r**4 - 642*r**3 + 641*r**3 + 20*r to t*r**3 + w*r + y*r**4 + s + n*r**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 - 100. Let m be ((-16)\/10)\/(2 - k\/15). Suppose -m*x - y + 669 = -0*y, 4*x - 5*y = 639. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/8 of a microgram in nanograms?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o + 1. Let s(q) be the first derivative of -3 + 1 + 2*q + 0 + 2*q**2 - 2. Determine -9*g(z) + 4*s(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -308 - -748. List the prime factors of -6 + 6 + -3 + r.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -4, 3, 1, -2\/27?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 219030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -9*a**4\/4 + 28*a**3\/3 + 26. What is the third derivative of y(x) wrt x?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 - 1129 = 108*v + 1144 + 891 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 12*m**2 + m - 2. Let a be z(-2). Suppose -3*r - a = -5*r. Find the common denominator of r\/(-8)*-1*3 and 89\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11076520.4 to the nearest 10000.\nAnswer: 11080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2015*w - 18433. Let t be d(10). Calculate the highest common divisor of 51 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -35. Let j be (14\/h*-6)\/((-2)\/10). Suppose -6*w + 348 = -j. Does 36 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*w**3 - 207*w**3 + 215*w**3.\nAnswer: 115*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0*z - z + 18*z - 16*z. Let s be (-18)\/3*(-4)\/6. Let d = 6 - s. Give t(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(10\/(-4))*(17 - (-4650)\/(-100)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -52945.\nAnswer: -4\/52945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**5 + 22490*k**4 - 3219000*k**3 = 0.\nAnswer: 0, 148, 4350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 834037 divided by -1207?\nAnswer: -691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 12*s**2 + 13*s + 2. Let o be u(13). Let c(b) = -b**2 + 3*b + 4. Let z be c(3). Let h be z\/(-10) + 34\/10. Is o smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -432998.870527 + -37?\nAnswer: -433035.870527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -119 - -127. Let f be 0\/(1 - 2) + -62. Let n = v - f. What are the prime factors of n?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68854 divided by 173?\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 158\/18 - 3*(-2)\/27. Suppose -2*j = -19 + w. What is the smallest common multiple of 1 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -47*h**5\/60 + 11*h**2 + 2*h. Let u(a) = a**2. What is b(u(p))?\nAnswer: -47*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27290 + -19509. What is the greatest common factor of s and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18a8 - -5?\nAnswer: -18a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 8:49 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 86 + 5 - (-2 + 1 - 4).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 7)\/((-3)\/(-5)) + 0. What is the highest common divisor of z and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3060 a factor of 50846704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.12 (b) -0.3 (c) -0.5 (d) 5 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 19. Suppose g - 3*g = 6, 0 = 3*t - 3*g - k. Find the second derivative of 3*y + t*y**3 - 9*y**3 + 8*y**3 - 2*y**3 wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5880, -5022, -4152, -3264, -2352, -1410, -432?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -23 and 73836 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w + 3 + 2*w + 2 - w**2. Let u(q) be the first derivative of -q**3 + 11*q**2\/2 + 10*q + 6. Let k(x) = 5*s(x) - 2*u(x). Give k(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 7:20 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 10*k - 3. Let s(a) = -19*a + 5. Suppose 6634 = 14*w + 6564. Give w*f(q) + 3*s(q).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001301644774 rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 12:20 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 3\/10, 0.05, -4, 5 in ascending order.\nAnswer: -4, 0.05, 2\/11, 3\/10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 >= -3473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 676 and 77116?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 8151*i + 8154*i + 23 = 0, 0 = -4*d - i + 24 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*w - 9, 37*w - 34*w + 15 = g. Let z be (-2)\/(-2) - (-2)\/(-4). What is the smallest value in g, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inen when four letters picked without replacement from aiqeiaqeinoa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 0 - 1 - -5. Let f = 0 + -1. Put f, 0, s in decreasing order.\nAnswer: s, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f - 3. Let z be j(3). List the prime factors of 0 - (-170)\/z*3.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 4:53 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 370\/22 - (864\/(-756) + (-222)\/(-231))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27\/122 - 5\/122. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. Suppose 2*y = -0 - 2, v + r*y = 0. Suppose 4*a = -5*x - 6, -4*a + a = -3*x - 9. What is the greatest common factor of v and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/2740 and 69\/20?\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*493\/1305*-6.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -926, -925, -924, -923, -922?\nAnswer: -921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -176055 or -0.033?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 10. Let b be x(-7). Let a be (8\/(-10))\/((-4)\/(-20)). Let l = 2 + a. Sort l, 1, b in ascending order.\nAnswer: b, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 1)\/(22 + -20)*-9. Solve 0 = r*u - 19 - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 0 + (-5 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2961 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-18) + (-74)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 248 + 100?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(2484\/930) - 194\/(-4462).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 21*r + 49. What are the prime factors of n(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, h: 5, l: 3, y: 1, b: 1}. Give prob of picking 2 z and 1 l.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 8)*(-2*v - 1 - 5 - 2)*(0 - 1 + 2) in the form d + r*v and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33730 + 260421. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*y + 67*y + 100*y = 0. Let h(a) be the third derivative of 22*a**2 - 1\/140*a**5 - 5\/84*a**4 + 4\/21*a**3 + y + 0*a. Factor h(i).\nAnswer: -(i + 4)*(3*i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 3:46 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2936 + 4628. What are the prime factors of i?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10659 is divided by 1499.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d - 16 + 8 + 0*d - 20. Suppose 0 = k - 0*k - 6. What is the remainder when k is divided by h(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) -1\/5 (c) 0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*(sqrt(80) + 5 + sqrt(80)) + 1 + sqrt(80) + -3 + sqrt(80))**2.\nAnswer: 2592*sqrt(5) + 12249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u + 10 - 4 - 7 - 5. Let j be f(-3). Let h be -2 + (2\/(-6))\/((-8)\/(-120)). Put j, -2, h in decreasing order.\nAnswer: j, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-114)\/(-30) + 1\/5. Let f be (-4)\/10 - (-12)\/5. Let i(m) = -3*m**f + r*m**2 - m + m**2. Calculate i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f - 31. Let n be w(10). Suppose 15*r - n = 12*r. Solve -4*a - r = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + g)*(-g - g + 0*g) - 12*g**2 - 16*g + 16*g.\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37, 24, 119, 242, 387, 548?\n\"Answer: -d**3 + 23*d**2 - d - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8334 - 45)*(-2)\/36*-6. Are 2763 and j nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-1)\/(-2)) + 15924\/(-1327)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 4:57 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97 + -90. Suppose o*m - 20 = 3*m. Solve -m*f - 5*h = -20, 2*f - 4*h - 1 = -17 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 - q**2 - q**2)*(1846*q - 1844*q + 0 + 6).\nAnswer: 4*q**3 + 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, -3, 0.2, -1, -0.07, 0 in ascending order.\nAnswer: -3, -1, -0.07, 0, 0.2, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let n(y) = 2 - 3*y - 3 - y + 0. Let m(p) = -7*l(p) - 2*n(p). Calculate m(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -78*l**3 - l**2 + 2*l - 18. Does 25 divide o(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 11*b + 10. Calculate the remainder when a(-8) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 - 70 = -3*p. Let m = 85 - p. Find the second derivative of -5*b + 39*b**2 - m*b**2 - 9*b wrt b.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3896608130.\nAnswer: 2, 5, 331, 1177223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021509 to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 11*a - 3. Let v be k(-6). Let n be (-22)\/(-1)*(v - 20\/5). Calculate the remainder when n\/10 + 2 - (-511)\/5 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69 (base 11) to base 2\nAnswer: 1001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/3 + 59035688*t\/3 + 435651557204168\/3 = 0. What is t?\nAnswer: -14758922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/29 - 19\/58. Are o and -16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*g - 34 = 0, -4*b - g + 148 = g. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 7*h + 17. Give d(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 0.024, -3\/7, 156, -14?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8 - x**2 + 5 - 9*x + 1 + 4 + 2*x. Let l be g(-9). Solve 0*h + 14 = -m - 5*h, 3*m + h + 14 = l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -2. Let s = -807 + 3227\/4. Which is smaller: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 343*a**5 - 47062*a**2 + 141*a - 31438 wrt a.\nAnswer: 6860*a**3 - 94124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -30*m**3 - 230*m**2 - 632*m - 400. Let w(r) = -41*r**3 - 307*r**2 - 843*r - 533. Let a(k) = 11*h(k) - 8*w(k). Factor a(n).\nAnswer: -2*(n + 1)*(n + 2)*(n + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4 + 2 + d + 1. Let j(h) = -h**2 - 5*h - 4. Let a be j(-3). What is the units digit of y(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2. Let j(b) = b + 12. Let o(m) = 6*a(m) - j(m). Let u(l) = -l**2 + 193*l. Determine u(o(d)).\nAnswer: -d**2 - 193*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 14\/5*t + 0 - 1\/5*t**2 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.2? (a) -2\/9 (b) 44 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 1 - (-99 + 79).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 102*m - 614. Let h be r(6). Let f = -1 - -2. What is the remainder when h\/(f + (-27)\/21) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 50?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, t: 5}. Give prob of sequence tgtt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1872) + 1 + 1)*-3.\nAnswer: -36*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {j: 1, a: 6, h: 5, e: 7}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431*c = -200*c + 28360295. What are the prime factors of c?\nAnswer: 5, 89, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 12*q**2 - 3*q**2 + 0*q**2 + 197*q - 48*q**2 - 197*q - 2*q**2 - 2*q**2 + 5*q**2 + (4*q**2 - 4*q**2 - 2*q**2)*(-1 + 2 + 0).\nAnswer: -40*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3*l - 2 = 3, 8 = c + 2*l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 3*f - 9 - 9, 5*y + 9 = 3*f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64635 is divided by 68.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 19599*v + 332316.\nAnswer: 3*(v + 17)*(v + 6516)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/30*(-6)\/(-9). Which is the third biggest value? (a) r (b) 0.03 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 0*r - w + 13 = 0, 0 = r + 5*w - 27 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*y - 31 = 0, -j + 2*y + 18 = 3*j. What is the smallest common multiple of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 11*h**2 - 14*h + 91. Is k(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5643 is divided by 1759.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.3 + 1.3. Let u = 2 - 1.5. Put u, x, -4\/3 in descending order.\nAnswer: u, -4\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -353 + 200. Let l = u + 152.6. What is the third biggest value in -1, -0.1, l, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 5. Let h = -222 + 225. Suppose -h*y + 25 - 8 = -5*f, f - 19 = -5*y. What is n(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32856.9 to the nearest 1000.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076245439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 114134?\nAnswer: 114131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.6 times -0.15?\nAnswer: 11.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965642?\nAnswer: 2, 29, 16649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28401*c*w + 3*c*y - c + 2*w*y - 2*y + 6730 with respect to w.\nAnswer: 28401*c + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(6)\/(1*sqrt(3)) + 2*sqrt(2) + -1)**2.\nAnswer: -95 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgoo when four letters picked without replacement from {h: 1, g: 1, o: 3, k: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/6 and (-254)\/(-56) + ((-85)\/(-20) - 4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1859352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 17 = c, v + 6*c - 9 = c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**5\/20 + 5*t**4\/12 + t**3\/6 - t**2 - t. Let o(j) = -j**3 - 3*j**2 + 2*j - 3. Let h be o(-4). Determine l(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*k = 3, -3*h + 2*k + 6 - 1 = 0. Suppose -h*g + 202 + 143 = 0. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 12870880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:51 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -51052?\nAnswer: -51100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-364*h**2 + 365*h**2 + 218 + 48)*(2*h - 1 - 5*h + h) to s*h + d*h**2 + m*h**3 + t and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 22\/2159?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*v - 434 = 0, 0 = 2*c + c + 5*v - 484. Suppose 5 = 5*b - 10, 4*b = -5*k - c. Let j = k - -33. Which is greater: -2\/29 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -320171*p**2 + 23629*p + 2 wrt p.\nAnswer: -640342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2143072 and 9108056.\nAnswer: 36432224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 9*x**3 + 3*x + x + x**4 + 0*x + 5*x - 2 in the form y*x**2 + k + n*x**3 + l*x + m*x**4 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (-4 - -4 - -9 - ((-1 - 25) + 29))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 1, 3, 2209, 4, -5 in decreasing order.\nAnswer: 2209, 19, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*y - 11 = 85*y - 4*u + 65, 61*u - 1041 = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 4692756\/156 - 15\/(-65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 87, 160, 233?\n\"Answer: 73*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754*p - 757*p = 4*o - 75, -p + 3*o = -0*o - 12 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(594 - 841*z - 102*z - 593).\nAnswer: -943*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 20*r - 86. Suppose -247 + 1143 = 56*v. Calculate c(v).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 12 = -4. Let v = 104 + q. Suppose -a + v = 3*a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 3\/((-12)\/(-20)). What is the second derivative of 2*f**4 - 5*f - 5*f**r - 3*f**4 wrt f?\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24938202 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**2\/2 + 2. Let g be r(3). Suppose -4*z = -g*x - 79, -2*x - 37 = -2*z - x. Calculate the least common multiple of 2 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1791 - 1239. Does 46 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06 and 2918728374.\nAnswer: 2918728374.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (41\/(-82))\/(1\/(-56)). Let z = 28 - l. Solve 4*n + 0*n + 2 = -2*b, z = -3*b + 5*n + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 + 150. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 - 2*y - 1. Let m be s(-1). Suppose 3*z - 16 = -4*r, -8 = z + 4*r - 24. Suppose m*f = -3 - 1, z = -2*a - 3*f + 235. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*l = -4*l - 164, 166 = 5*m + l. Let x = -5255 + 5438. What is the least common multiple of m and x?\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*q - 10*q + 109*q)*(-10 + 21 + 25).\nAnswer: 4248*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**3 - 2*q**2 - q. Let y be h(-1). Let m be ((-4)\/(-3))\/(y\/(-9)). Determine s so that 2*s**3 - 9*s**2 - m*s**5 - 2*s**4 + 0*s**3 + 11*s**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.81 - 13. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*l - 409, 4*l - p = -24 + 575. Let a be (2*l - -2)*4. Let i = 1943 - a. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 8*t**2 + 8*t - 2. Let l be z(7). Solve 0 = 2*m - l*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -252*k - 42*k**2 - 19*k**2 + 252*k to the form n + y*k**2 + p*k and give y.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485418?\nAnswer: 2, 3, 17, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -335, -345, -357, -365, -363, -345?\n\"Answer: r**3 - 7*r**2 + 4*r - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 2, r: 2}. Give prob of sequence xr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1178.98094724?\nAnswer: 1176.98094724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 296926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12474 and 420?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10971 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.54 - 13.14. Which is the nearest to y? (a) -3\/7 (b) 1 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-678)\/(-565) - (-29948)\/10 is divided by 79?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415101384 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j + 2*t + 13, -5*j = -3*t - 30. Suppose j*y = 5*o + 442, 2*y + 152 = -2*o - 3*y. Let h = -34 - o. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 3609?\nAnswer: 3613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8441.914 litres in millilitres?\nAnswer: 8441914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10 = 3*f, -2*f + 42 = -3*t - 5*f. Calculate the lowest common multiple of 10 and (t + 1)\/(21\/(-14)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1042326*v**2 + v**3 + 2*v + 1 + 5*v - 2*v**3 - 1042324*v**2. Determine a(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119620 smaller than 119615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1992 - 1299. Let d be 0 + 706 - (-7 + 8). Suppose -2*k - 3*n - 243 = -d, 3*k - x = -n. Calculate the highest common factor of 21 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*m**4 - 148*m**2 + 137*m**2 - m**4 wrt m?\nAnswer: 216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -36 + -4*(-12)\/16. Let q = v + 160. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04687285 - 73100\nAnswer: -73100.04687285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -20. Suppose -4*a - 15 = -h*a. Suppose a*g - 2*g = 9. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -43\/3*c**3 + 0*c**4 - 74*c + 0*c**2 - 27\/20*c**5 + 1. What is the second derivative of s(d) wrt d?\nAnswer: -162*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -1316\/6235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23712 = -10*p + 23642 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5 + 4)*(-31*g - 332*g - 1638*g) as x*g + n and give x.\nAnswer: -22011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(7 + -14 + 3). Suppose s + 2*v - 811 = 0, 1857 + 2212 = 5*s - q*v. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -35*g**5 + 208*g**4\/3 - 101*g**3\/3 - 2*g**2\/3 = 0?\nAnswer: -2\/105, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 61*n - 278. Let c be t(-4). Let w be (-255)\/12 - 2\/(-8). Is w equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2181?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s - 2091919. Let h be u(0). Let c = h + 881919. What is c rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23 (b) 5 (c) 1 (d) 4\/67 (e) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -14. Suppose p + 0*p + 5 = 2*f, m = 2*f - 2*p. Let t = 3 - 2.8. What is the closest to f in t, 0.1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*p - 11*p + 18*p + p**2 as m + z*p + a*p**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.8 - -2.8. Are u and -2\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-10*m - 7*m - 5*m)*(5 + 1 - 2).\nAnswer: 176*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2016047208 divided by -4\nAnswer: 504011802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 16*l**2 + 40*l - 13. Let v be y(-19). Suppose -4*r + r + f = -v, 0 = 2*f - 4. Calculate the highest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -42?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 52 = 22*i. Solve 2*b = 3*r - 5, -i*b + 3*r = -0 + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 3*x + 4*c + 4, 2*c - 17 + 21 = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 6*i**4 + 297986774*i**3 + 695302444*i**2 + 198657840*i = 0.\nAnswer: -49664460, -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 5\/25)\/((-4)\/290). Let t(a) = 39*a - 1. Let y be t(-1). Let k = y - g. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) -2\/9 (c) 4\/609\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 2. Let b be n(6). Sort b, -4, 3, -2 in increasing order.\nAnswer: -4, -2, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (5 + 3 - -24*11\/(-44)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6485655.09 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 393392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -275463910 - -160823910. What is f rounded to the nearest one million?\nAnswer: -115000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.29 + 0.21. Let f = j + -2.3. Let s = -0.02 + 5.02. What is the second biggest value in f, s, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -169*y + 50. Is w(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*n + 125 + 155 + 0 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4171 and 10476.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 9*s**3 + 8*s**2 + 15*s - 1. Is p(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*5\/(-90)*(-2)\/1. Let r(i) = i - 16. Let t be r(12). Let f be 3\/2*t\/(-39). Which is the closest to -3? (a) f (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.32 + 9.32. Let m = -9.5 + t. Which is the closest to -2? (a) 2\/5 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (2076\/40)\/(162\/3765). Let k = p - 3617\/3. What is the common denominator of 28\/33 and k?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5913 and -1.\nAnswer: 5912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 9. Determine s(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -16. Which is the closest to t? (a) 0.3 (b) -4 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22e (base 16) to base 13.\nAnswer: -33c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)*i)**32*(i**(-5)*i*i)\/(i*i\/(i*i**4))*(i\/i**1)**7*(i**3\/i*i)\/(i**(-3)*i) assuming i is positive.\nAnswer: i**(195\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -275 + 266. Let l(j) = -21*j - 37. What is the tens digit of l(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) -6 (c) -1\/4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i**2. Let u(m) = 42*m**2. Determine u(f(c)).\nAnswer: 2688*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2 - 27696*w - 2433260 = 0.\nAnswer: -6835, -89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7*s + 20 = 0, 3*s = -2*n + 255. Is 30 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19907 - -5?\nAnswer: -19902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1\/5, 4\/161?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 3534*r**2 - 1044288*r - 2074464.\nAnswer: -3*(r + 2)*(r + 588)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*j, -5*v - 7*j = -6*j - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -59*q**3 - 6*q**2 + 6*q - 1. Let i be t(-5). Let s = i + -57459\/8. Calculate the common denominator of (30 + 0)\/((-24)\/(-30)) and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43\/675 - -2\/75. Let d = -17 + 18.9. Let b = d + -2.3. Put b, -2, z in increasing order.\nAnswer: -2, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(-9) - 14\/(-63). Suppose 5*s - 20 = 0, 0*s + 26 = 3*y + 5*s. Sort d, y, 5 in descending order.\nAnswer: 5, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*n + 322*n = -936. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h + 19. Let z be y(7). Let c = z + 15. Calculate the highest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 + 382632963 - 382632963 - 2*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.032, 5\/3, 6, 127923 in descending order.\nAnswer: 127923, 6, 5\/3, -0.032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*i**3 + 17*i**3 + 19*i**3)*(9 + 0 - 28)*(-5 + 0 + 2)*(i - 3*i + i) to g*i**2 + q*i**3 + c + n*i**4 + f*i and give n.\nAnswer: -2793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 94 - 646. Let n be ((-177)\/z)\/((-24)\/(-172)). Let c = n - 2\/69. Calculate the common denominator of c and 69\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 33*p**8\/112 + 7*p**4\/3 + 3*p**2 - 2*p. Find the second derivative of u(y) wrt y.\nAnswer: 1980*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242077 divided by -5.\nAnswer: -242077\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y + 104. Let o be c(20). Let r(s) be the first derivative of -1\/4*s**4 + o - 5\/3*s**3 - 5\/2*s**2 - 2*s. What is r(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 2*p**2 - 2*p - 1. Let w be b(-2). Suppose 37*c - 111 = -0*c. Let m be -1*(0 - (-2 - -7)). Solve 3 = -c*s - w, -30 = -4*i + m*s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6356868659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*m**3*y + 5*m**3 + 83935*m**2*y - 30855 wrt y?\nAnswer: -3*m**3 + 83935*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) -1\/3 (c) -0.19 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y - 8*y = -30 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-2 + 1 - 22). Suppose -5*p + 95 = x. Let r(a) = -a + 20. Is r(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 7*u - 1. Let z be m(-6). Suppose y - 4*l = -2 - 11, l = 4. Let b = z - y. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36080.17441 - 36081. Let i = x + 0.804. Round i to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j + 261. Let i be o(0). Let f = i - 6019\/23. Calculate the common denominator of f and -67\/6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -662345, 0, -9.\nAnswer: -662345, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l + 320 = 0. Let v = 1059 + -1035. Calculate the highest common divisor of v and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2, -2\/5, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 228\/27 - 12\/27. Let g = 8 - 5. Suppose -g*k = -22 + 4. Is k equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -939*-0.097\nAnswer: 91.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 27*d. Let j(l) be the first derivative of -221*l**3\/3 - l**2 - 3704. What is c(j(u))?\nAnswer: -5967*u**2 - 54*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 19) + -7 + -32 - (-138 - 6).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72106 is divided by 35639.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 3\/8, -5 in descending order.\nAnswer: 5, 3\/8, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 3*w**2 - 8*w + 9. Let x be u(-7). Let y(m) = 261*m + m**2 + 2 + 10 - x*m. What is the units digit of y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -26. Let v = s - 10. Suppose -5*u + 2*f = -3, -3*f + 1 + v = -u. Let b(w) = 4*w. Give b(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13764000 rounded to the nearest 100000?\nAnswer: -13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**9\/3024 + 13*y**6\/360 + 14*y**3\/3 + 16. Let i(z) be the third derivative of h(z). Find the third derivative of i(o) wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46.1 + 48. Let a = -1.808 + m. What is a rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -4. Suppose 2*s + p*s - 40 = 0. Let l = -11 + s. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -31424?\nAnswer: 3142.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6*k = 5*k. Suppose k = 14*f - 3756 - 780. Does 54 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 126, 129, 132, 135, 138?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23\/(644\/(-4095))*-12.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -221.4055106835 and 19.\nAnswer: -202.4055106835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3 + 21 = -2*u, -16 = -7*r - 3*u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*w + 96*w + 57 + 548 + 802 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5910\/73 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 199347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -p + 234, -8*p = -5*o - 4*p + 373. Is o a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c**(1\/2))\/c)*c)**(-43)*(c**(2\/3)*c)**36*((c\/(c*c**1))\/((c*(c**(-1\/12)*c*c)\/c)\/c))**37 assuming c is positive.\nAnswer: c**(-905\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, a: 2}. What is prob of sequence aa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -11*n + 23. Suppose 4*c - 20 = -4*d, n*d - 5*c = 2*d + 5. Solve 56 = 3*b - d*w + 22, -5*b = 3*w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-20) + (-1011874)\/151020. Let d = 2\/7551 + l. Calculate the common denominator of 83\/12 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28 and -47\/4409224.\nAnswer: 4409224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.9 + 6.6. Let r = -0.3 - l. What is the third biggest value in r, 3\/2, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144.328 - 144. Let r = q - 0.028. Let l = 3 + -7. What is the closest to r in 0, l, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + 15 + -5)*465\/60. Solve -2*c = -6, 36*i - n*i + 2*c + 14 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1763612859?\nAnswer: 3, 587870953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 6:37 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/1*(-28980)\/1449.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12410 divided by 4\nAnswer: 6205\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 205, 1, -7202, -3 in decreasing order.\nAnswer: 205, 4, 1, -3, -5, -7202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 17229*n + 70880810.\nAnswer: (n + 6790)*(n + 10439)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.791 plus 0.58?\nAnswer: 2.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -3*b + 21, 28*b - 31*b = 3*a + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 17. Suppose -6*o + 7*o = 2. Suppose o*u + 2*u + 8 = 0, -u = -2*y + 2. Calculate z(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -215 - -351. Does 34 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -343.06 + 347. Let j = l + -3.54. Let r = 4 - 8. Sort j, 3, r, -9 in decreasing order.\nAnswer: 3, j, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/5, -1\/5126 in decreasing order.\nAnswer: -1\/5126, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t*t*t**(-8\/5)*t)\/t)\/t)\/t)\/t**(-33)*(t\/t**(2\/17))**8 assuming t is positive.\nAnswer: t**(3354\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 9 - (-86 - -96 - 73)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*b*g**3*r**3 - 9*b*g*r**2 - 3*g**3*r**2 + g**2*r**3 - r**2 wrt r.\nAnswer: 306*b*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -18. Let v = p - -12. Calculate the remainder when v is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*k*t**3 - k*t**2 - 6*k*t + 18348*t**3 - 11*t**2 - 68 wrt t.\nAnswer: 30*k + 110088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 17*f - 10 = 0. Suppose 0 = 2*x + 2*s + 160, 370 + 75 = -5*x + 4*s. Let a = -35 - x. What is the highest common factor of f and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5595 = -3*g - 2*g. Suppose 5*a - 1676 = g. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -11. Suppose -18*n - y - 3*n**3 - 1 + n + 2*n - 12*n**2 = 0. Calculate n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*q + 21*q**2 + 14*q**2 + 60*q - 33*q**2 + 0*q**3 + 14*q**3.\nAnswer: 14*q**3 + 2*q**2 - 19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 20 - (0 + -3)) + -18 + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 313*r**4\/3 + 408*r**3 - 112*r**2\/3.\nAnswer: r**2*(r + 4)*(313*r - 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.43431 * 38.76.\nAnswer: 55.5938556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21001, -21063, -21125?\nAnswer: -21187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 - 20*u**4 + 54*u**3 - 36*u**2.\nAnswer: 2*u**2*(u - 6)*(u - 3)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-7381)\/(-605) - 20)\/(66\/(-20))\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-198) - (-3)\/(-81)*-6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 45925041 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -6*((sqrt(325) + -3)*-6 - 6*((sqrt(325) + (sqrt(325) - (-1 + sqrt(325))) - sqrt(325)) + sqrt(325))))**2.\nAnswer: -48960*sqrt(13) + 1689424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 5. Let v be j(-4). Let u be -3 + 3\/21 + v. What is the nearest to 0.1 in u, 3, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 10, 2\/9, -2, -2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 + -56. Let u be ((-4)\/n)\/(18\/(-18)). Factor 0*c + 2\/9*c**2 - u.\nAnswer: 2*(c - 1)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 784925 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*((1*sqrt(68))\/sqrt(4) - (sqrt(204)\/sqrt(4))\/sqrt(3)) + 5 + (5 + sqrt(1088) + -1 - (5*(sqrt(1088) - (0 + sqrt(1088))))**2).\nAnswer: 9 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5346346540 + 4?\nAnswer: -5346346533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 5217330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 6*j + 3. Let m be l(6). Solve 4*n - 3*p = 2*p - 6, 0 = n - 2*p + m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -154\nAnswer: 30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -523, -1048, -1573, -2098?\n\"Answer: -525*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1148*q + 6874. Calculate n(-5).\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 1, a: 1}. Give prob of sequence ga.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -340 + 1706\/5. Suppose 2\/5*h**4 + 0 + 2\/5*h + 6\/5*h**2 + j*h**3 = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-3)*(0 + -1). Let p(c) = c - 2 - 2 + m + c**2. Let i(w) = 103*w + 409. Let a be i(-4). Calculate p(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 - 56. Solve -p = -9*v + 4*v - u, 5*v - 4*p + 15 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -4. Let w(o) = 433333*o - 1. Let u be w(z). What is u rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**5 - 5*y**5 + 0*y**5 + (35*y**3 - 10*y**3 - 6*y**3)*(y - 2*y**2 - y).\nAnswer: -39*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3746, -5221, -6706, -8207, -9730, -11281, -12866, -14491?\n\"Answer: -z**3 + z**2 - 1471*z - 2275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19743, 19899, 19989, 20013, 19971, 19863, 19689?\nAnswer: 19449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 200 = -156. Solve -359 = l*t - 363 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 948730 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 0 = n - 5, -4*n + 16 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36, -93, -196, -351, -564, -841, -1188?\n\"Answer: -o**3 - 17*o**2 + o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 4:31 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.18165 and -0.6.\nAnswer: -0.10899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, c: 15}. What is prob of sequence cc?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (4 - -2))\/2. Let n be 3 + (7 - w)\/(-1 - -2). Solve -5*f = -2*d - 7, -2*d + 3 = n*f - 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from waazzazzzazaaalazwaz. What is prob of sequence awzw?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85491090 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 179 + 10*u - 179 + (-2*u + 2 - 2)*(0 + 0 + 1).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*h - 2, -2*l + 0*l + 8 = -2*h. Let f = -18 + 223. What is the tens digit of f\/20 + l\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37883277?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + g + 15 = 0. Suppose 36 = -g*k + 6*k. Let u be 3 + ((-20)\/(-6))\/(8\/k). Solve 3*s - s - u = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -3716.664291313?\nAnswer: -3716.964291313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -c + 14, -49 = -4*u + 198*c - 195*c for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30800?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*p + 12*p + 4*n - 5, -3*n + 25 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -12*z + 98. Suppose -4*v = -4*r + 20, -4*v = -2*r + 4 + z. Let a = 40 + r. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 24 + -3 + (-7 - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44100 = -43*g + g. Calculate the lowest common multiple of 6 and g.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 7*t**2 + 9. Calculate the remainder when 62 is divided by i(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: d0b (base 15) to base 2\nAnswer: 101101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-152)\/(-1064))\/(6\/63*-9)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(3240)\/sqrt(5) + sqrt(8) - sqrt(8)) + 0 + -5*(-5 + (0 + sqrt(243))**2).\nAnswer: -1190 + sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*o - 64*o + 162*o - 22*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*s - 12*s + 2*i - 12, 2*i = -5*s - 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.26 + 5.26. What is the smallest value in -5, -2\/7, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11951025, 23902053, 35853081, 47804109?\nAnswer: 59755137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 56, 68, 82, 98?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050 a factor of 1506383911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2852385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 6*j + 40. Suppose 3*x + x = j. Solve -x*v - 3 = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + p**4 + 2*p**4 + 10*p**4 - 5*p**4 + 7*p**4 + (5*p**2 + p**2 - 4*p**2)*(2*p**2 - 3 + 3) + (-2*p**4 + 0 + 0)*(-3 - 3 + 3).\nAnswer: 24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 21 + 9. Calculate the least common multiple of q and 1 + (15\/(-10))\/((-18)\/12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y + 0*y)*(26*y - 2 - 20*y + 0).\nAnswer: -6*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 + 118 = 56*n - 258. Solve 15*o = 17*o + 2*q + n, -4 = 4*q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 11:40 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 15*h + 2870. What is the units digit of q(24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.5 (b) 5 (c) -7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 138, 220, 320, 444, 598, 788, 1020?\nAnswer: 1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 e, and 1 c when three letters picked without replacement from oleuc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/21)*v**(-1\/25))\/(v*v**0\/v)**(-18))**16 assuming v is positive.\nAnswer: v**(-1136\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 = -s. Suppose -s*i + 10 = -74. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 520 = -13*z - 2752, 2*m - 1636 = 2*z. Calculate the remainder when m is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-1)*o)**(-1\/6)*(o**(2\/3)\/o)**(1\/20))\/(o*o*o*o**(-4\/9)*o*o**7)**8 assuming o is positive.\nAnswer: o**(-15263\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/116810 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -147*v**4 - 2*v**3 - 3*v**2 + 6*v wrt v?\nAnswer: -3528*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 56797805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 5082.\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4049297?\nAnswer: 7, 607, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*sqrt(84) - sqrt(84))\/(5*sqrt(12)*2).\nAnswer: -7*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a370 - -5?\nAnswer: a375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 4320.68?\nAnswer: -4321.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/5, 3\/28, 0, -166.6, -5\/2, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 76*g**3 + g**2 + 3*g + 4. Let r be f(-2). Let v = r + 608. Solve -2\/13*b**4 + 10\/13*b + 2\/13*b**5 - 12\/13*b**3 + 6\/13 - 4\/13*b**v = 0 for b.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5\/2 - 155*y**4\/8 - 193*y**3\/4 - 375*y**2\/8 - 19*y - 5\/2 = 0.\nAnswer: -10, -1, -2\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**7\/420 - v**6\/60 + v**5\/30 + v**3\/6 + 6*v**2. Let y(j) be the first derivative of x(j). Factor y(t).\nAnswer: 2*t*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {t: 2, r: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 83\/42 - (1 + 1). Let b = 298 + -297. Which is greater: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266875296 divided by 4.\nAnswer: 66718824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/35735 and 79\/76575.\nAnswer: 536025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, -29, -60, -95, -134?\n\"Answer: -2*k**2 - 21*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*i**2 - 2380*i**2 + 855*i**2.\nAnswer: -1829*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*b - 818 = 109, 694 = 3*a + b. Let u be a\/55 - 1\/5. Solve l + u = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i. Let r(q) = q**2 - 20. Give s(r(v)).\nAnswer: -4*v**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 16*z + 30. Let t = -204 - -186. Determine q(t).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95248?\nAnswer: 2, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -12 - -112 - 8. Let f be l\/(-28)*(-49)\/2. Calculate the highest common factor of f and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.0817172 centimeters?\nAnswer: 0.000817172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**7\/840 - h**6\/30 - 7*h**5\/60 - 7*h**4\/12 - h**3\/3 + 1. Let w(c) be the third derivative of r(c). Is w(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 12, c: 3}. Give prob of sequence iiii.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392 - 391 - (13 - (-1 + 0)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -5034\/1643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5904*o + 4187 wrt o.\nAnswer: -5904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38358149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3221 - -8266. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16959115.3 rounded to the nearest 1000?\nAnswer: 16959000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - 85 + 77)*(-2 - d**4 - 2*d + 2).\nAnswer: -45*d**4 - 90*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = 1. Let u(m) = m**2 - 5*m + 1. Let s be u(5). Suppose 0 = -3*a + 4*k + s + 27, -k = -a + 8. Solve -2*t + w*f - 8 = 2*f, -3*t = 5*f - a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 6*v = 0. Find the common denominator of (4 + v)*(2 + 145\/(-110)) and 101\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, -5, -27, -57, -95, -141, -195?\n\"Answer: -4*w**2 - 2*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67737604 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 659157, 2636626, 5932409, 10546506, 16478917, 23729642, 32298681?\nAnswer: 42186034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -82345*q + 411720. What is v(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/(-46))\/((-6)\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 27 = 9*y. Suppose -2*b + 18 = y*a, -2*b - 3*a + 9 = -9. Solve 12*d + b = 9*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -25*i + 2. Let f be x(-4). Suppose -3*p + f = -0*p. Suppose -4*g - 1 = -49. What is the remainder when p is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nax when three letters picked without replacement from naxan?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 606*f**2*k - 21*f**2*u - 1143*f*k**2*u + 82*k**2 wrt u?\nAnswer: -21*f**2 - 1143*f*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 0)\/((42\/(-9))\/(-7)). Let f(d) = d - 3. Calculate f(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 - 68. Suppose 0*s - s - 2 = 0. Let y be 2 + 5*2 - s. Calculate the greatest common divisor of i and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*l = -108, 0 = 5*i + 3*l + 51 - 180. What is the derivative of -5*s + 35 - 75*s + i*s - 17*s wrt s?\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -698223\/40 - -17457. Find the common denominator of q and -93\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*h + 51*h + 53*h - 120*h + 4 - 39*h + 8.\nAnswer: -3*h + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6951, 10598, 14245, 17892, 21539?\nAnswer: 25186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 9. Suppose -v - 3*l = 18, 4*l - 9*l = -3*v + 2. Let o be y(v). Let z = o + -1. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 2*s - 145 = 0. Let c = s - 24. Find the third derivative of 8*v**4 - 7*v**2 - 8*v**4 + 7*v**c wrt v.\nAnswer: 420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 6*m**2 + 40*m + 7. Determine z(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 + 3*v**3 - 4*v**3 + 3*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/2 (b) -0.1 (c) 4\/3 (d) -385\/3 (e) 53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29099?\nAnswer: 7, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -166?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/(-6))\/(2\/(-3)). Suppose 5*z - 14 = 3*u, 0*z - 5*z + 4*u + 12 = 0. Find the second derivative of -2*v**p + 6*v + 0*v + 4*v**5 - z*v wrt v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 7. Let s be k(-9). What is the third derivative of -3*x**4 + 5 - 5 - 4*x**s + x**2 wrt x?\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.929212um?\nAnswer: 4929.212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73464 is divided by 1477?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**2 - 62 + 14*g + 2*g**2 + 79. Let l be a(15). Let w(f) = -6*f + l*f + 4*f**2 - 5*f**2 - 1. Calculate w(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -4*x**2 + 1\/120*x**6 + 0 - 1\/36*x**5 + 1\/72*x**4 + 1\/18*x**3 + 0*x. Determine j, given that l(j) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/140 and -87\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4510526.4 seconds to hours.\nAnswer: 1252.924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/40 and 11\/3?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -286 + 290. Sort -5, -1\/2, x, 0.4 in ascending order.\nAnswer: -5, -1\/2, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/7)\/(d**(-16)*d*d)*d**18\/d**0 assuming d is positive.\nAnswer: d**(221\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3567473 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9667 and 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377.819656 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - h - 78 = 0, 2*h - 120 = -4*q - 6. Let s = 30 - q. Suppose -5 - 4 = -s*m. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-22)*(-70 - -71)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 3*a = -5*g + 127, 0 = 5*a - 4*g - 224. Find v such that 39*v**2 + 80*v - 7 - a*v**2 - 68 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1046250 and 209250.\nAnswer: 1046250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2\/5, 0.5, 1 in descending order.\nAnswer: 1, 0.5, 2\/5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1131 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 62340698 divided by -4452907\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 62*j**2 - 51*j - 2. Is 13 a factor of c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*d + 2, -4*t + 9 = -d - 5. Suppose -2*n - 18 = -2*v, -2*n = -t*v + 41 + 5. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 826643 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-5))\/((-7)\/((-105)\/20))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4639*i - 239434 = -77069 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*r + 2*x, -48 = 4*r - 9*r - 2*x. Suppose -6*b = -r*b + 12. What is the units digit of b\/(3 - ((-1384)\/(-348) - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037243607 rounded to 4 decimal places?\nAnswer: 0.0372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -32*w - 1. What are the prime factors of f(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19972254 divided by -197\nAnswer: -101382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzez when four letters picked without replacement from {e: 7, k: 1, z: 6}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3853 or -3850?\nAnswer: -3853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 632*b**2 + 755*b - 78248. Determine a(631).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/180 and -73\/308474856.\nAnswer: 1542374280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -13)\/(3\/9). Let l = m - -39. Suppose -l*t - 448 = -13*t. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16507, -14570, -12633, -10696, -8759?\nAnswer: -6822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**6\/3 + 4*z**5\/5 + z**4\/2 - 15. Factor g(s).\nAnswer: 2*s**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -19539*c - 3810096. Calculate m(-195).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-78) + (-3)\/12*(-4 + 4)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 247769?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-1 + -3 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5836 - -99276.4164. Let w = x + -99278.080001. Let u = w + 0.08. Round u to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7287 + -103972.\nAnswer: -111259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*d - 188*d + 352*d - 1650*d.\nAnswer: -2059*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*a**3*q - 9*a**2*q - 9*a*q - 2*a - 2*q wrt a.\nAnswer: 48*a*q - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.11 (b) 1.5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14, 481, 1788, 4349, 8578, 14889?\n\"Answer: 69*j**3 + 6*j**2 - 34*j - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 247 + 35585?\nAnswer: 35832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91663807 - 91663807.60000109. Let x = 0.6 + o. Round x to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 71*y - 630. Let n be b(-12). What is the greatest common divisor of n and 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1695 (b) 0.22 (c) 2\/7 (d) -9 (e) 0.3 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l**2 + 19*l**2 - 5*l**2 - 7*l**2. Let y(f) = -185*f. Determine y(d(b)).\nAnswer: 185*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103868791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-40) - (-2)\/8. Let t = -0.747 - -108.547. Let b = t + -108. What is the closest to f in b, 3, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 27 + 7. Suppose 17 = b + k*s, -4*b = -4*s - 1 - 7. Let y be ((-6)\/(-12))\/((-2)\/(-8)). Which is smaller: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/76 - -1177\/15580. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 8:04 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 18 = -3*m. What is the remainder when 50 is divided by (m - -1) + (-88)\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -740*p + 4639. What is b(7)?\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2625, -2641, -2673, -2727, -2809?\n\"Answer: -t**3 - 2*t**2 - 3*t - 2619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/9))**4)**(22\/5) assuming w is positive.\nAnswer: w**(176\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*t**2 + 12*b*t - 111991773*b + 62084*t**2 wrt t.\nAnswer: -2*b*t + 12*b + 124168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -0.2001?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -565 - 719 = -4*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174, 4, -4, 1, -449 in descending order.\nAnswer: 174, 4, 1, -4, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 516.2903 millilitres in litres?\nAnswer: 0.5162903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*f + 61 + 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -0.110278?\nAnswer: 0.0882224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 12:19 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2440 and 81\/2440.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 4*s**2 + 3*s - 5. Suppose 2*c = -6, -29 = -4*z + 4*c - 5. Suppose -2*r = -6, -r - 2 = t - z*r. Is 5 a factor of y(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 19. Determine r(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/(i**17\/i)))\/i)\/(i\/(i\/i**16)*i) assuming i is positive.\nAnswer: i**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -3461.\nAnswer: -14\/3461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*y + 1051, 0*o - 1544 = -3*y - 2*o. Suppose -5*f = -3*f - y. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l**3 - 5*l**2 + 3*l - 5. Let n(c) = -4*c**3 - 2*c**2 + c - 2. Let q = -30 - -25. Suppose -76*b = -60*b - 32. What is b*h(d) + q*n(d)?\nAnswer: 2*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45326, 90648, 135970?\nAnswer: 181292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2001 - 1361. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 0*o + 0*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14570160 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -29. Suppose t = c*v + 29, -3*t - t - 5*v = -65. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2913 - -1534. Let k = d + 53291. Suppose -h - k = -7738. Round h to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**2 + 9*q - 9. Let c(g) = -2*g**2 + 4*g - 4. Let a(p) = -9*c(p) + 4*y(p). Let o(d) = d. Calculate a(o(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0.1. Let x = -0.7 - -0.8. What is the nearest to x in h, 4, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 901\/618*14230\/6. Let w = t - 48650\/309. Let p = 3303 - w. Find the common denominator of -29\/16 and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 28 = 19*g. Suppose -2*z + 208 + 17 = t, -339 = -3*z - g*t. Does 37 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8162.\nAnswer: 2, 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = v + v - 64, 3*f + 3*v + 30 = 0. Let x be 1\/2 - f\/4. Suppose x*a - 43 = 33. What is the remainder when a is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -5 (c) 2 (d) -11.2 (e) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + -13 - (2 + -10)) + 9\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(2\/(-1)))\/(-6)*230\/(-10).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 101011?\nAnswer: -101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110110100 (base 2) in base 15?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*v + 2483 + 2833, -10658 = -4*v + 3*w. List the prime factors of v.\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 + -1.05. Let h = -0.5 - k. Which is the third biggest value? (a) -3 (b) h (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**6\/60 + 8*o**5\/3 - 157*o**4\/12 + 26*o**3 + 2*o**2 - 48*o. Find n such that w(n) = 0.\nAnswer: 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 16*t + 22 = -14*t, -5*y + 5*t = 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*k**2 + 12*k**2 - 43*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 - 602\/(-84)*4994 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*g + g + 11, -2*g - 2 = -2*d. Suppose -18 = -d*o + 22. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26366 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4 + 9*w**4 - 2*w**4 - 2*w**3 - 3*w**4 - 3*w**5 = 0. What is w?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 - 3*c**3 + 2*c**3)*(-3*c + c + c) + 27*c**4 - 44*c**4 + 18*c**4 + (2 + 0 + 0)*(c**4 - 6*c**4 - 4*c**4).\nAnswer: -19*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 15) to base 3\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -6. Let s = k + -2. Put 0, s, -3 in descending order.\nAnswer: s, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 - 5*v**2 + 5*v - 9. Let t(r) = 2*r**3 - r + 2. Let d(u) = -u**3 + u**2. Let l(g) = d(g) + t(g). Let h(c) = 9*l(c) + 2*n(c). What is h(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -40*v. Let n(j) = -10*j**2. Give y(n(d)).\nAnswer: 400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tabmsnma. What is prob of sequence nm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -3 (c) -0.4 (d) 11\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) + 9\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 6:12 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 2*g**2 - 8*g + 5. Let v be y(6). Suppose -4 = -2*u - 2*a, 0*a - 4*a = -5*u + 10. What are the prime factors of u\/17 + (-23353)\/v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(3 - 3 - g + (3 + 3 - 7)*(0*g + 0*g - 2*g) + 38 + 2*g - 38).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + (-61 - -98) + 60.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5 = -2*l + 1, 0 = -3*q + 3*l - 9. Solve -5*t - 4 - 11 = q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171 - (1 + 81 + -171).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0, -55, -7560 in ascending order.\nAnswer: -7560, -55, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/125 of a hour?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*o = 4*o + 49, -4*o - 20 = 0. What is the remainder when a is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88523325 is divided by 613.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1006 + -959.9. Let h = f + -46. What is the closest to 1 in h, -5, 2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 16*n**2 + 1. Let a(i) = -8*i**2 - 42*i + 1. Let y be a(-5). Let b(q) = 3*q**2. Determine y*b(o) - 2*z(o).\nAnswer: o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/9759480 and 91\/3903792.\nAnswer: 19518960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 5*l + 3017. Let b = l + 1218. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 - 6*n**2 + 0*n**5 - n**4 - n**3 + 2*n + 4*n**4 + 3*n**2.\nAnswer: -n*(n - 2)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 1\/235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 266 - 266. Let i = 365\/9 + -41. Which is the third biggest value? (a) -0.5 (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - (-8 - -4))*0. Let o be g + (-13)\/3 + 20\/(-30). Let l(i) = -i**3 - 6*i**2 - 3*i. Calculate l(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-70)\/(-105)*111\/2. Suppose -5*a + 25 = 0, 2*w + 4*a - z = -7. Solve 0 = -k + s - 5, 0 = -w*k - s - s + 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 213, 286, 343, 378, 385, 358?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -l - 15*l**4 + 18*l**4 + 4*l + (1 - 1 + l**2)*(90*l**2 + 135*l**2 - 121*l**2) in the form i + z*l + m*l**3 + c*l**2 + s*l**4 and give s.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-8))\/(1\/2). What are the prime factors of ((-26)\/((-2)\/(-1)))\/p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32211003033 + -30?\nAnswer: -32211003123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**(-10\/9)\/l)\/l*l)\/(l**(6\/13)*l)*l**(-5\/4)\/l**10 assuming l is positive.\nAnswer: l**(-6469\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -26, -0.04, -3\/2, 4, -0.24?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65791160, -65791161, -65791162?\nAnswer: -65791163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.31 - -12.69. Let l = -12.984 + z. What is l rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44 - 1?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 x when three letters picked without replacement from xynywwzxg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 5*t + 38 - 46, 0 = -2*y + t + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320341 divided by 1.\nAnswer: -320341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -p. Let t(i) be the first derivative of -5*i**2\/2 - 5*i - 3. Calculate the remainder when t(-4) is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 876 and 1885079?\nAnswer: 22620948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8267 is divided by 2752?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - k**2 + k - 27. Let y be z(0). Let n = y - -29. Let l(a) = 4*a - n - 5 - 8*a. Let c(i) = 5*i + 8. What is -5*c(t) - 6*l(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 6*c + 8. Let w = -101 + 101. Let u be b(w). Let a = -75 - -107. Calculate the highest common factor of a and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 2:15 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*b - 31, 0*b = 4*u - 5*b - 17. Let s be u*(1 + -2) - 4 - 15398. Round s to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 59688.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 5:51 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14283\/2*d**2 - 3\/2*d**4 - 207*d**3 + 0*d + 0.\nAnswer: -3*d**2*(d + 69)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -14. Suppose 4*d = 3*d - x. Let u(w) = 5*w - 2. Let j(r) = 0 - 3 - 21*r + 12 + 0. Calculate d*u(s) - 2*j(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 34602\/2844 + 2\/12*(-3 - 7)\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3\/7 (b) -0.2 (c) -13 (d) -0.3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1550208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 17*z**3 + z**2 + 2*z - 2. Suppose 4 = 4*l - 4. What is the tens digit of p(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**4 + 258*h**3 + 2526*h**2 - 5818*h + 3036 = 0.\nAnswer: -11, 1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*441.\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g*g\/g**(2\/9))\/g)\/g)\/g)\/g)**(-16)*(g*g**0)**(-3) assuming g is positive.\nAnswer: g**(293\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1965428?\nAnswer: 2, 491357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2\/5 + 7533*r\/5 - 15054\/5 = 0. Calculate r.\nAnswer: 2, 2509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 = 12*w - 42. Let i(z) = -z**3 - 26*z**2 + z + 43. Let s be i(w). Solve 0 = 4*g - g - 4*a + s, -2*g - 8 = -a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.22 + 13.22. Let c = p + 5. Let o = c - 18.0000001. Round o to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1) - (10 + -20). Calculate the greatest common factor of d and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010010000100 + -1011001011110?\nAnswer: -110101011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 5, z: 1, k: 1, a: 1}. What is prob of sequence fz?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 32*g**4 + 13*g. Let l(b) = -b**2 + b**2 + 1090*b**4 - 1089*b**4. Let i(s) = -5*l(s) + z(s). What is the second derivative of i(t) wrt t?\nAnswer: 324*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*n + n + 2727, -4*n = -2*k - 3632. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269829, 539665, 809503, 1079343?\nAnswer: 1349185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(392)\/(sqrt(16)\/sqrt(2)))\/sqrt(7))**2*4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211*h**2 - 4300*h + 0 + 217*h**2 - 7*h**2 - 418*h**4 + 0 wrt h?\nAnswer: -5016*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56733 = -2*m + 12291. Suppose y + 3 = 0, -6*y - m = -5*i - 2*y. What is i rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m - 291 = -3*a, -a + 2 = 0. Let h = 765 - m. Suppose h = 10*j + 38. What are the prime factors of j?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 706 = 726. What is the closest to 2\/7 in p, 0.18, -7?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - 2*sqrt(114))*2 + sqrt(114))\/sqrt(6).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 26813 (base 9) to base 4\nAnswer: 10123230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.256 - 0.156. Which is the closest to -1\/4? (a) -0.2 (b) g (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -18*u - 107. Let i be c(-7). Let y = 112 - i. Let z = 30 - -17. What is the remainder when y is divided by z?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245, 1941, 6543, 15503, 30273, 52305?\nAnswer: 83051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 5:25 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b + 3. Let u be s(-6). Suppose 4*j - 144 = 2*k, -4*k - 159 + 51 = -3*j. Calculate the highest common divisor of j and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, -60, -0.4 in decreasing order.\nAnswer: 4, 0.1, -0.4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119.5 - -119.50002204. What is x rounded to 6 decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a week in minutes?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54620 - 54620 + 6*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 11*r + 22. Let t be f(6). Let l(k) = -2*k**2 + k + 136. Let q be l(t). Sort -40, q, 2 in ascending order.\nAnswer: -40, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*q + 4*t = -85*q - 26, 0 = 3*q - 5*t - 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 2, d: 3, c: 1}. Give prob of picking 1 d and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2 + ((0 + sqrt(176))*2 - sqrt(176)) - -6*(sqrt(176) - (2 + sqrt(176))*2))*-1)**2.\nAnswer: 1040*sqrt(11) + 5079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by 10.\nAnswer: -83\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1\/134 (b) -3 (c) -5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1171 or 1172?\nAnswer: 1172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 6355285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(3 + 5 + -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 0 - (145 - 153) - 44?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -44, 2, 15 in increasing order.\nAnswer: -44, 2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169121 and 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -d - 8, -13*s = 5312*d - 5310*d - 104 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 2, 15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 836187.57 and 69?\nAnswer: 836118.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3 = 0, 3*o + 0*h - 2*h = 11. Let p(v) = -v**2 + 26*v + 56. Let w be p(-2). Solve k = -w*k + o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-18)*w)\/(w*w**(-3\/13)))**(5\/8) assuming w is positive.\nAnswer: w**(-1155\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 - 78*y\/5 + 16.\nAnswer: -2*(y - 1)*(y + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h + 12. Let w(l) = -4*l + 2*l - 3*l - 1 + 4*l. What is f(c) + 12*w(c)?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210584 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**(-2\/17)\/u))\/(u*u**(2\/15)))\/(u**0)**(-3\/13) assuming u is positive.\nAnswer: u**(506\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32976 and 1008.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30*-11\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3\/a)\/a*a*(a*a**(-2\/21))\/a*a)\/(a**(-6)*a**5) assuming a is positive.\nAnswer: a**(82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*d + 195 + 357 = 0. Let k(o) = 7*o + 0*o**2 + 1 + 3 + o**3 - 8*o**2 + o**2. Determine k(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 27 + 148. Let w be (1 - (-5 - 1)) + -14. Let k be (-241)\/w + 4\/7. Calculate the highest common divisor of o and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 2:45 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90390 and 570.\nAnswer: 1717410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**2\/2 - 391*q\/2 + 196 = 0.\nAnswer: -392, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.41 - -0.61. Put -2\/3, 5, w in increasing order.\nAnswer: -2\/3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 813498 (b) 3\/4 (c) -16 (d) 1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 15 = -5*l, 0 = -5*v + 3*l + l - 12. Suppose v*j = -j + 51. Let d = 4 + j. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*p - 131 = 0, -2*v - 138 = -v + 3*p. Let t = 172 + v. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 17 = -h - 3*b, 2*b = -6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50972.\nAnswer: 2, 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 4:34 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.6 + 6. Let n = -4.61 + 4.51. Let f = 9\/5 + -71\/45. Which is the smallest value? (a) n (b) -4 (c) z (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -94, -218, -392?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5 - 81*p**4\/2 - 148*p**3 - 397*p**2\/2 - 105*p - 16 = 0 for p.\nAnswer: -16, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2 - 984*n + 242064 = 0.\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1406 and 38?\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 10:55 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 62*t**2 - 669*t + 615. What is i(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 1\/2, 343, 2\/9, -6\/11 in decreasing order.\nAnswer: 343, 37, 1\/2, 2\/9, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-12)\/(-5))*5. Let z = -656964 - -656963.97. Let b = -0.1 + 0. What is the closest to 1 in b, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 96749.9mg?\nAnswer: 0.0000967499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/297 and -61\/231?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1390 + 433. Let i = -957.629 - r. Round i to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**2 + 2*t - 5. Let b be v(-3). Solve c + b = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 15\/7?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176627 is divided by 152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((7\/(-7))\/((-2)\/(-14)))\/(-1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5. Let g be 3*2\/6 + (-24)\/(-1). Solve s = -4*x - x + g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3861 and 299442.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3506 a factor of 188085614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 13*q**2 - 12*q + 2. Let d be j(12). Suppose -d*f - 5*f = -910. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + f = 11, -20 - 5 = 5*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 20*j**2 - 2*j + 7. Let c(h) = -41*h**2 + 4*h - 16. Give -2*c(i) - 5*n(i).\nAnswer: -18*i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11973 >= 12006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -165 - -168. Suppose -93 = -3*s - u + 37, 0 = d*u + 15. Calculate the greatest common factor of 360 and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1872\/20 + 208\/20 + -10 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 + 315. What are the prime factors of x?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 163259*y**2 - 147912.\nAnswer: 326518*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825920 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 2*l + 4*l + (l - 4*l - 2*l)*(2 + 2 - 2) + (-3*l + 0*l + l)*(6 - 4 - 3) - 3 + 3 + l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 524, 522, 520, 518?\n\"Answer: -2*a + 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2))**(-48)*y**(-2\/43)\/(y*y*(y\/(y*y*y*y**(-2\/39)*y*y))\/y*y*y*y) assuming y is positive.\nAnswer: y**(40084\/1677)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 > 1810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 5) in base 11?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405 (base 14) to base 5.\nAnswer: 11124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 15257732?\nAnswer: 137319588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 168*t - 2987. Give v(20).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, 646, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155978 is divided by 2328.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*0.1.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2393.4237491 rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*i**4 - i**3 - 40*i**2 + 120*i - 2316729 wrt i.\nAnswer: 32*i**3 - 3*i**2 - 80*i + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 4 - (13 + (-39 - -46))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) -8148 (c) -8 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 21. Let s be t(7). Solve s = -5*g - 5*p, 4*g - 2*p = 3*p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -42.1 (c) -5 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50386*m**2 - 101849 wrt m?\nAnswer: 100772*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**7\/42 - g**5\/10 + g**4\/12 - 79*g**3\/3 - 211*g**2. Find the second derivative of y(r) wrt r.\nAnswer: 60*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -t + 46, -2*t + 81 = -3*j + 4. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 772926 divided by 36806\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2002213 - 31031032?\nAnswer: -23022213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5595, -5960, -6535, -7320?\nAnswer: -8315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*k + 29*k + 20*k + 28*k + 30*k**3 - 54*k**3.\nAnswer: -24*k**3 - 22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -31072?\nAnswer: -31067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -10. Suppose 2*j - 48 = 2*q, -2*q + 0*q = 2*q - 48. What is the smallest common multiple of j and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 268 = 4*f, 5*f + 4*a - a - 348 = 0. Suppose -4*w = -j + f, -4*j = -w - 0*j - 3. Let b = w + 21. Solve 0*h = b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6686 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/64*-1*2. Is i at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41049 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2791 by -3850.\nAnswer: -2791\/3850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/108 and 4\/258831.\nAnswer: 3105972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 11*c**2 + 22*c + 46. Let g be v(-9). Solve 9*z - 1 = -g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*n + 53 = -7*n, 3*q = -2*n - 41. Let d = 67 + q. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -443 - a**3 + 2*a + 447 + 2*a**4 + 0*a**3 - a to l + x*a**2 + w*a**3 + y*a**4 + o*a and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -8*q**4\/13 + 370*q**3\/13 - 452*q**2\/13 + 90*q\/13 = 0.\nAnswer: 0, 1\/4, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155 + 155 - 4*p**2 to the form y*p + u*p**2 + a and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**8\/240 + 3*n**4\/8 - n**3\/2 - 2*n**2. Let o(g) be the first derivative of k(g). Find the first derivative of o(r) wrt r.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/736 and -43\/460?\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 315788*s**4 + 152603?\nAnswer: 1263152*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-1)*33\/((-2475)\/120)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 122 = 2*o + 35, -46 = 2*i + 2*o. Let g be ((i\/(-57))\/(1\/(-3)))\/(-3). Factor -r + 1\/3 + r**2 - g*r**3.\nAnswer: -(r - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*-1*9\/(-1194). Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317396 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -10\/33?\nAnswer: -10\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6861*w - 211. What is the thousands digit of a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 4:14 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588 = 133*y - 49*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4025 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -2\/111 (c) 1\/7 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*-2*(-1)\/4. Let s be 0\/((-3)\/((-6)\/v)). Let f = s - -10. Calculate the highest common divisor of 90 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 13*g**2 + 30 - 11*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.018291867 - -14.227925367. Let j = u - 14.21. Round j to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 - 93 = -4*g. Let p(t) = -t**2 - g*t**2 + 6 - 4 + 5*t**2. Let v(w) = 9*w**2 + 17. Give 51*p(j) - 6*v(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-2 + 1))\/2. Suppose d = -2*u + u + 10. Suppose 0 = -5*y + 10 + u. Solve -12 = 2*m + 4*a, y*a - 16 = 3*m + 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 5*k**2. Let d be h(-5). Let o(b) be the first derivative of b**4\/4 - b**3\/3 + b + 128. Give o(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 plus -336159294548.1?\nAnswer: -336159294547.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (0 + 5)*409125\/625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64\/48*(-6)\/(-20))\/(-2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00636880847 to six decimal places.\nAnswer: -0.006369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 853072 a multiple of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(1573)*-1*-4 - ((sqrt(1573)*2 + -5)**2 + (1 + (1 + sqrt(1573) - sqrt(1573)))**2)).\nAnswer: -308*sqrt(13) + 6321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 49 = -59. Suppose -a - 412 = -c*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3 - 3*i + 3*i - i - 2. Let z be 0 - (0 + -1 + 1). Suppose 0 = -z*v + v - 5. Calculate n(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + 0 - sqrt(275))*4 + -1)**2*-2*-5*4.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16540460 + -16551763.829. Let d = i + 11153.9. Let o = d - -150. What is o rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h. Suppose 68 = -h*p + 2*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4757 - -0.2757. Let x = -0.5 - 0.1. Let l be ((-102)\/27 + 3)*2\/7. Which is the nearest to l? (a) v (b) -2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.12? (a) 3 (b) -1 (c) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302777 is divided by 726.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*d + 302 - 38, 0 = -3*d - 4*i + 160. What is the highest common factor of 78 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 66.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - (-1 + -1 - (-203 + 206))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*p**3 + 10*p**3 - p**5 - 2*p**2 + (-2*p**4 + p**2 - p**2)*(-3*p + 3*p - 2*p).\nAnswer: 3*p**5 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4)\/(7\/(-56)). Let q = -7 - a. Suppose q*s - 299 = 2*u + 171, -s - 2*u = -106. What is the greatest common factor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 160 = -6*k - 2*o, -3*o - 3 = 0. Let n = -66 + k. Suppose 27 - n = 3*i. Calculate the remainder when i is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*0\/(120\/(-20))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4572320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/4870 and 29\/12?\nAnswer: 29220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35660 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 53*u**6\/2 - 3*u**5 + 2*u**3\/3 + 10285*u**2\/2 - 3262. Find the second derivative of q(p) wrt p.\nAnswer: 3180*p**3 - 180*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 8*i**2 - 26*i - 6. Let r be z(11). Suppose 3*m = 5*b + r, -5*b + 1 = -4*m + 99. Let g = m - 23. Solve g*j + 8 = u, 4*j + 3*u = -0*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6430439954 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -33896528 divided by -146?\nAnswer: 232168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 8*n + 2*p - 12, -3*p - 32 = -5*n. Let q(g) = 2*g + g + 4 - n. Let o(h) = h - h + 2*h**2. Calculate q(o(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opn when three letters picked without replacement from {n: 8, o: 7, z: 2, g: 1, p: 2}.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -927 - -926. What is the nearest to o in -0.2, -5, 1\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -18.01 (b) -3 (c) -602 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 43*f**2 + 230*f - 29. List the prime factors of m(-26).\nAnswer: 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 62. Let o = x + 57. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17528\/5597 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 245 = -619. Suppose -w + 5*w = -y. Let n be (3\/6)\/((-3)\/w). What is the greatest common divisor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (2 - 0)*-6. Let w be (23 + 1206\/(-54))\/((-60)\/(-27) + -2). Solve 9 = o + 4*x, 0 = -2*o - w*x + 2 + s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*n + 11390215 + 2554085 = 0, -5*h + 13944312 = n. Suppose 15639635 = -v - 5149227. Let q = h + v. What is q rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4849\/3 in -1, 2, -6, -1\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1045528523 and 494?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -1 - (-7 - -2). Put 4, c, -2 in ascending order.\nAnswer: -2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -240*y**3 + 694*y**2 wrt y?\nAnswer: -1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - v + 26 + 2*v - 26.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 o when four letters picked without replacement from {u: 5, o: 13}?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 12 + 0*s**4 + 202*s**3 - 4 + s**2 + 32 - 8*s**4 to p + y*s**3 + b*s**4 + m*s + w*s**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8646.3776 rounded to 0 dps?\nAnswer: 8646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 231160 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*z + 83 - 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.2. Let z be (-11)\/(-4) - 2\/(-8). Suppose -4*c - z*q = -16, -q + 3 + 0 = -c. Sort y, 0.3, c in increasing order.\nAnswer: y, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(5 - 4 - 3 + (-3 - 1 + 3)*(0 + 0 + 2))*(14*z - 8*z - 18*z).\nAnswer: 96*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-5)\/(-2) - 2). Let a be 2 - f\/(-15)*-14. Let b = -6931.1 + 6931.3. What is the closest to 1 in -0.4, b, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3278086813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2936 and 137258.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u + 14*u + 252 = 18*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4055 (b) 0 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5509259?\nAnswer: 7, 19, 23, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80456018?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 2 = -4*a. Is 20 a factor of 4*6 - (a - -9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-0.071.\nAnswer: 0.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17650 + 20218. Suppose 15*c + s = 19*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 91 + 819 = 0. Let b be 249 + (52\/a)\/(1\/5). Is b less than or equal to 244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.81 - 22.31. Let c = t + 7.9. Round c to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - -50. Suppose v + f = o, -4*v = -6*f + f - 282. Calculate the remainder when v is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -19)*-6*(-5)\/225\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -467431 (base 9) in base 5?\nAnswer: -32443032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435 = -14*t + 2549. Let y = 165 - t. Calculate the least common multiple of 220 and y.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 2. Let v = 2 - k. Suppose 2*t + v*f - 42 = 0, -5*f = 4*t - 3*t - 21. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ptpp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkd when three letters picked without replacement from kgtdxgdz?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1478000 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1115 divide 27908450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 43414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*(-3*2*sqrt(1377) - sqrt(1377))*-2)**2 + -2.\nAnswer: 17273086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 163*o - 161*o + 306, 5*o = -15. What is the remainder when 2247 is divided by n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 198*i = 366211 - 1924911. Does 143 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 14731713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 99545452 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -30 in descending order.\nAnswer: -2, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16993 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 2*z + 2*z)*(-3*z - 2 + 2) - 6977*z + 0*z**2 + 7051*z + 3*z**2 to the form k*z + o + i*z**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79699892*m**2 - 78530291?\nAnswer: -159399784*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((268\/42)\/((-32)\/(-56)))\/(12\/72).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4))**(-5)*x*x\/(x\/(x\/(x\/(x*x*x*x**(-5)*x*x)*x))*x)*x*x**(-1\/9)*(x**1*x*x**(-2\/27)*x*x)**(2\/61) assuming x is positive.\nAnswer: x**(8351\/6588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 7:32 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -14) + (-2 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, u: 2, q: 1, j: 3, m: 4}. What is prob of picking 2 m?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71810723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -490*b**4 - 7*b**3 - 13630*b.\nAnswer: -5880*b**2 - 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -e740 (base 15) to base 11\nAnswer: -33801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 1. Let w(y) = -11*y - 7. Let u(x) = 5*q(x) + w(x). Let g be u(-1). Let k = 22 - g. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -47 - 135\/2*h**2 + 131*h. What is the derivative of p(t) wrt t?\nAnswer: -135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 84*l**3 - 10*l**2 - 2717*l + 10. Let n(i) = 42*i**3 - 6*i**2 - 1360*i + 6. Let b(h) = -5*n(h) + 3*u(h). Find the second derivative of b(f) wrt f.\nAnswer: 252*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + -1 + 25 + 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -3) + (-12 - -8) + -2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = k + k. Let n(j) = -j**2 - 89*j - 1111. Calculate the remainder when n(-17) is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllqllzbllqqzlbzll. What is prob of picking 2 b?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10314*i - 18*i**3 + 10314*i.\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2739.2 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -223*m**4 - 42*m + 2 wrt m?\nAnswer: -2676*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5003 + 0.5?\nAnswer: -5002.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -128*j**5 - 298*j?\nAnswer: -2560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a + 7*a + 0*a + 8 + 0 to i*a + l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20829531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/98)\/(56\/(-49)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -10*d - 1. Let h be u(1). Let p be (-163)\/h + 24\/132. Let f = -13 + p. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j**2*v**3 - 20*j**2*v + 8*j**2 - 103*j*v**4 - 7*j*v**2 - 3*v**4 wrt v.\nAnswer: 30*j**2 - 2472*j*v - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3, 5*f + 5*n - 7*n = 172. Solve -11*p = 23*p + f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 194 - 187 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*j - 28 = -42, o = 2*j + 2. Let r(t) = t**3 - 5*t - 1. Let h(m) = 3*m**3 - 11*m - 3. Calculate o*h(i) + 5*r(i).\nAnswer: -i**3 - 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**6\/48 + i**5\/24 + i**4\/4 - 31*i**2. Let a(y) be the second derivative of t(y). Differentiate a(f) wrt f.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35555)\/(-1094)*(-5 - -1 - -6).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v - 14. Does 5 divide (10\/(-3))\/(v\/(-42))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-435)\/(-450)*4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 519620?\nAnswer: 519620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -568 - -977. Does 22 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 223112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*q - 18*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**5\/7 + 558504*g**4\/7 + 3350912*g**3\/7 + 4467816*g**2\/7 - 3350916*g\/7 - 5026320\/7 = 0.\nAnswer: -139620, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3386636631475 + 0.1\nAnswer: -3386636631474.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 435481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21907 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139*q**5 + q**2 + 61*q wrt q?\nAnswer: 8340*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + -11. Let a = -12 - g. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 793 divide 2747050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3896857651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 93. Give g(46).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c - 81. Determine l(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1241904325*d**4 + 18872842*d + 12 wrt d.\nAnswer: 14902851900*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 30 = 3*f - 27, 0 = 2*v. Calculate the remainder when f is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 265520 and 265520.\nAnswer: 265520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -9*y + 52. Let v(p) = p**3 + p**2 - p + 36. Let w be v(0). What is the greatest common factor of y and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-4) - 7\/(-28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13 - 15665\/(-52)) + 1\/(-4). Suppose 1 = 3*o - 5. Suppose b = 13*f - 18*f - 2*l, 4 = -o*l. Which is smaller: f or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29221600553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 2*f + 3*f + 5, -3*i + 5*f = -10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167090 is divided by 15520?\nAnswer: 11890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*o*v**3 + c*o*v**2 - 4*c*o*v + 3*c*v**3 + 5*c*v + 15509*o*v**3 + 3*v**2 - 37 wrt v?\nAnswer: 12*c*o + 18*c + 93054*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**5 - 3716*t**3 - 94*t**2 + 2*t - 1 wrt t?\nAnswer: -60*t**2 - 22296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/13)*i\/i**6*((i**(-7\/8)*i*i*i)\/i)\/(i\/(i*i**(2\/27))*i) assuming i is positive.\nAnswer: i**(-13049\/2808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - d**2 + d + 8. Let l be y(-2). Solve 0 = 4*g - j + 14, 6*g - g = 5*j - l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17949*a = -17965*a - 272 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 7*r. Let z = 2723 + -2729. Let q(l) = -l**2 + 6*l. What is z*b(o) + 7*q(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 9\/3)*1. Suppose o = -4*v - 20, -n - 13 = 3*v - 5. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 14*u + 21. Let z be m(-17). Is z\/(-135) + 495158\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.514 + 0.38. Let z = -0.166 + y. What is the second smallest value in 33, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + (0 - -16 - 23).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 53. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-155)\/248)\/(-5)*176?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2621521 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -120 + 96. Calculate the smallest common multiple of 124 and c.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**2 + 4*i**2 - i**2 + (-i - 1 + 1)*(0 + 0 + 2*i) + 4*i**2 - 2*i**2 - 4*i**2 - i**2 + i**2 - i**2 + (0*i**2 + 2*i**2 + 2*i**2)*(88 + 535 + 180 + 385).\nAnswer: 4745*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 716 to the nearest ten.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32392*d**3*t**2 + 2*d**3*t + 3132*d**3 + 2*d**2*t + 2*d wrt t?\nAnswer: -64784*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*(0 + 0). Suppose -3*g + r + 3 = 0. Solve 2*c - g = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10116 - 1087. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*b + 42*b - 418. Suppose 135 - 91 = b*y. Factor 8\/3 + 110\/3*h**y - 25*h**3 - 52\/3*h.\nAnswer: -(3*h - 2)*(5*h - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence off when three letters picked without replacement from {f: 2, x: 12, o: 1, t: 3, j: 2}?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b - 30. Suppose 5*d + b = 0, 18 = 3*m - d - 33. Solve -5 + 2 = -3*y, 4*h = -4*y - m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 4351*w - 17376. Determine t(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, i: 1, u: 1, g: 1, c: 1}. What is prob of sequence ciy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -20*l - 112. Let u be r(-9). Let o be (-8)\/u - 195\/(-357). Which is the closest to -14? (a) 2\/21 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2765 - 2705. Calculate the remainder when 118 is divided by c.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, 17, 55, 117, 209, 337, 507, 725?\n\"Answer: y**3 + 3*y**2 + 4*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1.1, -1, -2\/9, 14?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.134561767.\nAnswer: 0.538247068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 183*f - 133*f - 19*f + 675*f - f + 2*f - 2*f + (3 + 4 - 6)*(5*f - f - 2*f) in the form l + i*f and give i.\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -203108.\nAnswer: -40621.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/44*(8\/(-60)*3)\/((-294)\/441)\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 5*y - y)*(-5 - 3 + 2)*(5*y - 15*y - 13*y)*(-y - 5 + 0*y + 7).\nAnswer: -138*y**3 + 276*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 19*r**2 - 16*r + 247. Let l be m(13). Suppose 5526 = 2*h - 4794. Let z = l - h. What is z rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -h + 20. Let s = -54 + h. Suppose 2*z - 5 = s. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.121 + -17. Round c to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g**2 - 17*g + 27. What is z(9)?\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482382 is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3239, 13087, 29829, 53735, 85075?\nAnswer: 124119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84887*p**2 - 42457*p**2 - 42562*p**2.\nAnswer: -132*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -65, -93, -121, -149?\n\"Answer: -28*x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**5 - 2*y**5 + y**5)*(11 + 13 + 11).\nAnswer: -105*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**5 + 1213*n**4\/2 - 67527*n**3\/2 - 262298*n**2 + 360578*n + 588504 = 0.\nAnswer: -31\/4, -1, 2, 84, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -218 in 3, 1.6, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 8*o**2 - 7*o + 2. Let k be i(7). Suppose -k*h + 0*h = 6. Suppose 5*u + 3*j = u - 5, -u - 2*j = 0. Do h and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 909*j**2 + 19*j**2 + 45*j**2 + 0*j**2 + 45*j**2 in the form d*j**2 + l + a*j and give d.\nAnswer: 1018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*-0.1\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 396.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423*m - 56 = -437*m. Sort -1\/2, -4, -27, m.\nAnswer: -27, -4, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 112 = 5*m, 2*f - 1 = -5*m + 107. What is the remainder when 111\/(-2)*(-4)\/6 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -10869*w - 554345. Calculate z(-51).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3 + 3124*n**2 + 317990*n + 1795908 = 0.\nAnswer: -1453, -103, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12478 is divided by 4066?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 4*s + 3. Let j be b(3). Let g be j\/24 - (-51)\/(-4). Let c be 13197\/g - 1\/4. Round c to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (4 + -3 - (-3 - 1469)). Let d(n) = 1475 - n**2 - g. Let m(f) = -8*f. What is d(m(o))?\nAnswer: -64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69090267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 40*l + 1. Let i(t) be the second derivative of 1\/2*t**4 + 41*t + 0 + 0*t**3 + 0*t**2. Calculate i(n(x)).\nAnswer: 9600*x**2 + 480*x + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22460 + -12891. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 + 100*v**3 + 330*v**2 + 340*v + 115 = 0. What is v?\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**5 + 3*d**4 + d**3 - 7*d**2 + 4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 187 - 185. Let d = 61 - 29. Suppose 10 = 2*j - d. Solve -2 = p*i + l + 4, 5*i + l = -j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1095 and 733434?\nAnswer: 267703410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w**2 - 5*w + 6. Let x(s) = 10*s**2 + 6*s - 7. Let i be (-380)\/(-6)*-12*(-1)\/5. Suppose i + 8 = -5*q. Let v = -37 - q. Calculate v*x(k) - 6*t(k).\nAnswer: 4*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48372 + -56?\nAnswer: 48317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 101?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -14951*3\/(-1)*(-7)\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - n - 1. Let j be (-2 + 2)*n\/(-2). Let v(z) = -z**3 + z**2 + 6. Calculate v(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 136 - 158. Let u = 296 + b. Solve -f + 0 = -u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/((-159)\/51 + 3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114*a**2 - 17145*a + 34314*a - 17149*a to the form c*a + u + q*a**2 and give q.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3886 + 3886.01. Which is the nearest to 1? (a) g (b) -1\/9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27.87959 or 0.4?\nAnswer: 27.87959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12130.\nAnswer: 2, 5, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13293625\/558 + -47647\/2. Find the common denominator of b and -139\/24.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 461*a**2 - 59*a + 11. Is v(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119 + 154 + 4 + (-15 - (-7 + 12))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/36*12\/(2\/2). Suppose 0 = 3*y - 3*g - q, 3*y + 2*y = -2*g + 5. Let n(x) = -x**3 + 2*x**2 + 2*x - 1. Let f be n(-1). Put y, f, 2 in descending order.\nAnswer: 2, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 703 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*-1*(-12 - -2). Let k = r - -14. Suppose a - 1 = k. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + p + 1)*(-1 + 5 - 2)*((p**3 + 3*p**3 + 7*p**3)*(0 - 1 - 1) + 6*p**3 - 5*p + 5*p).\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33589 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**3 + 50*u**2 + 374*u + 726 = 0.\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4*r - 51*r + 51*r + 1 - 1.\nAnswer: 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4739751*q**5 + 2*q**4 - 9496195*q**2.\nAnswer: -284385060*q**2 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/1819 - -5465\/7276. Put -4, -1, 0.04, p in increasing order.\nAnswer: -4, -1, 0.04, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-one halves of a meter?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 30 = -24. Let v be (0 - 0)*(-6)\/o. What is the third derivative of 33*f**2 + 4*f**5 + v*f**5 - 35*f**2 wrt f?\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 8*m = -2550. List the prime factors of m.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 + 60\/18. Let a(g) = g + 3. Let j be a(7). Suppose -4*o = -6 - j. Which is bigger: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 120\/18*12\/10. Suppose -b - 3*b = t. Let r be (-57)\/6*(0 + b). Solve 5*k = 3*v - r, -4*k - v - 2*v - 26 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 2, q: 1}. Give prob of picking 1 q and 1 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 11?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4, 8, -1, -10\/3, 2\/25 in ascending order.\nAnswer: -10\/3, -1, -0.2, 2\/25, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 6:30 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 6:10 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -4 (c) -2\/63527389 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 0\/(-1))\/(-10). Let b = -0.7 - -0.6. What is the third biggest value in q, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/30*1 + 1\/1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 4*c - 1. Let f be h(-4). Suppose 2*b = -b + 2*s - 6, 3*b + 5*s = -6. Sort 4, f, b.\nAnswer: b, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 2:56 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + sqrt(15)\/sqrt(3))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -256 * 0.2\nAnswer: -51.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, d: 1, m: 6, s: 4}. Give prob of picking 3 s.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -114 + -68?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4037 and -12158.\nAnswer: 49081846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 - (119 - 127) - -12?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/2*6709\/(-20127).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**4\/4 + 35*l**3\/2 + 171*l**2 - l + 187. Factor j(w).\nAnswer: -3*(w - 38)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17976*c**2*r**2*s*x - 3*c**2*r**2 + 131785017*c**2*x**3 + c*r**2*s*x**3 - c*r**2*x - c*s*x**2 - 2*s*x**2 wrt x?\nAnswer: 790710102*c**2 + 6*c*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i + 4 - 3*i + 8*i. What are the prime factors of z(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3169*s + 4534 - 7614*s + 687*s - 220*s - 2*s**2 wrt s.\nAnswer: -4*s - 10316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-3))\/(8\/252). Let r be h\/(-4) - (-1)\/2. Suppose 0 = z - r. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*b + 55, 0*b + 11 = b - 3*j. Let q be -3 + b\/((-11)\/(-4824)). Let p = q + -3121. Round p to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -16*z. Let j(l) = 13*l. Let k(p) = 5*h(p) + 6*j(p). Let c(w) = 39*w. What is c(k(i))?\nAnswer: -78*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -16. Let x be 2\/(2 + i\/6). Suppose 3*f - 12 = 0, x*y - f = -0*f + 40. What is the highest common factor of y and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 4:37 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from {a: 2, j: 1, k: 8, l: 1, p: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**3 - 9*g**2 - 15*g - 2. Let v(l) = -3*l**3 + 4*l**2 + 7*l + 1. Determine -4*n(r) - 9*v(r).\nAnswer: -r**3 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*i*o**5*q + 13*i*o**2 - 2*i*q**2 + 4*i - 35*o**3*q**2 - 5*o*q**2 wrt o.\nAnswer: 600*i*o**2*q - 210*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/2 + 0 - -1. Let k(t) = 7*t**2 + 14*t + 6. Let h(p) = 11*p**2 + 21*p + 9. Let f(z) = r*k(z) - 5*h(z). Calculate f(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*f**2 + 0)*(-528 + 1055 - 529 - 6*f)*(-4*f - 2*f**2 + 4*f).\nAnswer: 24*f**5 + 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -259 - -779\/3. What is the third smallest value in q, 4, 0.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-33 + 35 - (-2 - 2)) - -11.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8940429031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3001907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 4 (c) -0.006 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -16*d - 170. Let l be p(-11). Solve -i + 2*i = 2*z - 3, 0 = 3*z - i - l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 577 - 174. List the prime factors of t.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5834999.85 to the nearest 100000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccicic.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v**3 + 4350*v**2 - 8672*v - 2883. Give p(723).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3575186*i + 3575238*i + 4576 for i.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2876, -2867, -2844, -2801, -2732, -2631, -2492?\nAnswer: -2309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 m, and 2 b when four letters picked without replacement from {f: 4, m: 1, r: 8, b: 7}?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 43*y + 19*y + 41*y)*(-y + y + y + (2*y - 2 + 2)*(3 - 2 + 1) - 6*y - 4*y + 4*y) to r*y**2 + z*y + s and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 79 - 24 + 7 + s in the form c*s + o and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.785 + -4.185. What is the biggest value in s, 5, 10, 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(1 - 7)*-9. Suppose r + r = 6. Suppose r + 12 = d*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + t)*(2*t**2 + 3*t**2 - 3*t**2)*(51 - 51 + 4*t).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, 72, 302, 634, 1074?\nAnswer: 1628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 16 - 6 = g, 2*g = l + 16. Let y(a) = 20 + 4*a - 52*a**2 - 51*a**2 + 8*a + 104*a**2. What is the lowest common multiple of y(l) and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 - 122*p**2 + 2*p + 25. Calculate o(-61).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kookko. Give prob of picking 2 k and 2 o.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 192 - 194 - (0 - -12)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77.4877l?\nAnswer: 77487.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3083 + -11811669\nAnswer: -11808586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -23156000 rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(6\/7))\/b**(-1\/2))\/((b*b**(-4))\/(((b*b\/((b\/b**(-2))\/b*b))\/b)\/b))*((b\/(b*b*b**(-2\/11)*b*b)*b)\/(b*b**(-1\/3)*b))**(-7) assuming b is positive.\nAnswer: b**(11567\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1. Let k(u) = -2*u. Give -14*k(i) - 2*l(i).\nAnswer: 28*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3240055 divided by -5\nAnswer: -648011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(sqrt(3888)*2 - sqrt(3888))\/((sqrt(108)\/sqrt(2))\/sqrt(6)).\nAnswer: -240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -11*p**4\/4 + 9681*p**3\/2 + 2500091*p**2\/4 - 227601*p\/2 = 0.\nAnswer: -121, 0, 2\/11, 1881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 1:21 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 3:18 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -11. Let i(m) = -4*m**2 - 104*m + 2. Let w be i(-26). What is the derivative of 12 + 7*s**y + 942*s**w - 942*s**2 wrt s?\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 639, 4, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (45 - (2 + 0)) + -1. Suppose 0 = a - 3*a + q. Suppose -3*r + a = -18. Solve d = s + 4, -d - 5*s = d + r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677050526?\nAnswer: 2, 1741, 194443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4 - a - 1 + 0 + 4. Let q(d) = -5*d - 7. Let g(u) = u**3 - u**2. Let l be g(2). Suppose 3 = -2*k + 7*k + l*m, k + 3*m = 5. Calculate k*q(t) + 6*f(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-1 - -9) - (7 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 3) in base 15?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*f + 6 = -a - 28*f - 27*f - 18*f, -4*f = -28 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 465 and 92087205?\nAnswer: 92087205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 2, f: 3, u: 3, b: 1}. What is prob of sequence ueu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -103. Let o = -70.9949 + c. What is o rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115\/7 < 303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 45862 in ascending order.\nAnswer: 2, 6, 45862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 534, -3, -4, -68, 4 in descending order.\nAnswer: 534, 4, -3, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**4\/24 + 10*l**3\/3 - 5*l**2\/2 + 2*l. Let j(t) be the first derivative of v(t). Is 9 a factor of j(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -977449965 divided by -5055?\nAnswer: 193363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 13*u + 6 - 5*u**5 - u**5 + 0 - 65. Differentiate c(t) wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -14*s**2 + 7*s - 8. Let k(g) = -27*g**2 + 15*g - 15. Suppose -3*w + 41 - 14 = 0. Let l(t) = w*j(t) - 5*k(t). Factor l(r).\nAnswer: 3*(r - 1)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 1, 8, 4, -782\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -371 + 409. Let k = -3 + 2. Let c = k + 11. What is the remainder when p is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.8 + 22.86. Let m = 2 - 1.94. Let n = a - m. What is the nearest to -1 in -2\/9, -2\/3, n?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 - 10*q**2 + 6*q - 22. Let s be z(7). Suppose -4*r + 6*r = -5*h + s, 129 = 3*h + r. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**4\/12 - o**3 + 3*o**2\/2 - 18*o. Let f be y(6). Factor 128*n + 48 + 85*n**2 + 28*n**f - 104*n**2 - 113*n**2.\nAnswer: 4*(n - 3)*(n - 2)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 20 - 3*g**3 - 2*g**2 + 2*g**3 - 6*g**2 + 17 + 25*g - 8. List the prime factors of i(-12).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 8*x - 10. Let y(d) = -2*d**2 - 15*d - 20. Let k(i) = -3*y(i) + 5*z(i). Let j be k(-7). Suppose -o = -4*o + j. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -10 + d**3 + 11*d + 1 + 15*d**2 + 0*d**2. Let v be p(-14). Let c = v - 20. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - 0.51. Let q = v + 0.9. Let b = -0.4 + q. What is the second smallest value in b, -3\/2, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*(0 + sqrt(320)) + 3*(sqrt(20) + 5))**2.\nAnswer: -748*sqrt(5) + 5901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/11)*y**(-2\/13)*y\/(((y**(2\/25)\/y)\/y)\/y)*y**(-5)*(y\/(y\/((y\/y**1*y)\/y*y))*(y\/y**4)\/y)**(-2\/3) assuming y is positive.\nAnswer: y**(2089\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpplljppjllp. Give prob of sequence jpp.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -122*(-183)\/40931*1672\/12\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - -2 - -6 - (-21 - -30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2823, 966, 15 in descending order.\nAnswer: 2823, 966, 15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186878 divided by -3526.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) + (sqrt(160) - sqrt(160)*1*-6))\/sqrt(8))\/(sqrt(50)\/sqrt(5)*6 + 2*sqrt(10)*2).\nAnswer: 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(99))**2 + (sqrt(539)*-4*5 - sqrt(539))**2.\nAnswer: 12*sqrt(11) + 238096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1700913935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722172?\nAnswer: 2, 3, 11, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2435 less than -2434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-201)\/(-268))\/(51\/8).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-2))\/(420\/(-5100)) and 32\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 - 92. Let q = 27 + r. Let x(p) = p - 1. What is x(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -3a26?\nAnswer: -3a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1285*u**3 + 1421*u**2 + 2729*u**2 - 1049*u**2 - 3323*u**3 - 5674*u**3 wrt u?\nAnswer: -46272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 751619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 36 = -135. Let d = -22 - h. Calculate the remainder when d is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*g + 70*g - 50280 = 0. Let o be (4\/g)\/(48\/(-15) + 3). Is 1 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 91902?\nAnswer: 459510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1425.96586 + 1426. What is j rounded to 3 dps?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a meter in centimeters?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from uddddddd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzqkslq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1858*g + 1060*g + 57099 = 4575 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.203166 rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 2002202210002020?\nAnswer: -2002202210002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 495 - 1771. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -313*t + 262*t - 227*t in the form h*t + o and give h.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65 - 23*y - 38*y + 5*y + 5*y wrt y.\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((0 - 2)\/1) - 10.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 18*r**2 - 89*r - 2. Determine o(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 91*m + 661. Let z be c(37). Calculate the highest common divisor of z and 106.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288.1418054 rounded to 2 decimal places?\nAnswer: 288.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -209 - -212. Let 24\/5*f**2 + 4\/5 - 18\/5*f - 2*f**k = 0. Calculate f.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(144)\/(2*sqrt(8))*5)\/((sqrt(6) - 2*sqrt(150))*-4)*2.\nAnswer: -5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 23. Calculate o(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23977?\nAnswer: 23977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15115032 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-4)\/r))\/r**(-3\/2))**(-2\/11) assuming r is positive.\nAnswer: r**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 3*j**2 - 10*j + 14. Let h be s(7). Suppose -5*m + 190 = -2*m + 2*f, -2*f - h = -2*m. What is the highest common factor of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251749*o - 9 + 251747*o + 60.\nAnswer: -2*o + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1142 + -0.3\nAnswer: 1141.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33\/2, -17.619, -3\/8 in ascending order.\nAnswer: -17.619, -33\/2, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15676 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-12)\/(-170)))\/(13*(-300)\/(-3120))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 4*k - 30. Let d be (6\/(-10))\/((-1089)\/110 + 10). Calculate g(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 - i**3 - 4*i**3 - 6*i**2.\nAnswer: -5*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3183 + -1d4?\nAnswer: -3367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of ((-1)\/((-28)\/1127) - -3)*24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 15) to base 11.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 446 and 16?\nAnswer: 3568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**6\/270 + 34*t**5\/135 - 31*t**4\/54 - 44*t**3\/9 + t**2 - 28*t - 2. Factor r(u).\nAnswer: -4*(u - 33)*(u - 2)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 2:19 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29790611 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 117?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 2:32 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -8, -5, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3881, -3882, -3883?\n\"Answer: -z - 3880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83767211\/582 - 143930. Calculate the common denominator of d and 17\/10.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62042 and 7.\nAnswer: 434294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 8*a - a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -57 (b) -8 (c) -0.2 (d) -90\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(65) + sqrt(65))\/((sqrt(5) - sqrt(5)*3)*-3).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 7:46 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -23288268 >= -23288266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19792 + 5.\nAnswer: 19797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-14 + 15)*(-4219)\/(-1))\/1. Do b and 4219 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.2, 40 in descending order.\nAnswer: 40, 2\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8295 divided by 617.\nAnswer: 8295\/617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + -3*(sqrt(7) + 1) + 1 + (-3 + sqrt(63) - (2 + sqrt(7) + -4)**2).\nAnswer: -18 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 266629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -22 + 0*a - a**2 + 9 + a + 18 - 68. Calculate f(0).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - 3*q**2 + 2*q**2 + (-2*q - 2*q + 2*q)*(-4*q - q + 3*q) - 2*q**2 - 2*q**2 + 3*q**2 + (1 - 2*q - 1)*(53 - 32*q - 53).\nAnswer: 65*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) -41 (c) -14.8 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s - 18. Calculate the remainder when s is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1472)\/6016)\/((-23)\/2).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -224\/29 - -6407\/638. Let m be (3270\/1089 + -3)*3. Let t = m + 8583\/968. Find the common denominator of r and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -75. Let z = 23 + w. Which is the closest to 0? (a) z (b) -5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 - -0.11. Let h = -0.3 + 1.1. Let z = h + y. What is the nearest to 1 in z, 0.5, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**2\/2 + y + 289. Let d(o) = -o**2 + 9*o + 12. Suppose -4*c - 22 = -t, -3*t + 3*c = 5*c - 52. Determine t*s(g) - 2*d(g).\nAnswer: 2*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2310 + -1601. Is y a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3418892 from 8.924.\nAnswer: -3418883.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66374*c*n*v**2 + c*v**2 - 3*c*v + 4*c + 168343*n*v - 10*v**2 wrt c.\nAnswer: -66374*n*v**2 + v**2 - 3*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*g = -m + 48, 3*m - 33 = 3*g. Let s = 39 - m. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4342)\/19819059)\/(1\/(-51))\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5316?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m**2 - 4335*m + 2610 = 0. What is m?\nAnswer: -174, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.168*2356399\nAnswer: 395875.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60156 and 962496?\nAnswer: 962496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201022122002001 (base 3) to base 12.\nAnswer: 3531877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13938 (base 10) to base 3\nAnswer: 201010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -266*t**6 + t**2 + 219 wrt t?\nAnswer: -31920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + 3 + (sqrt(2) - 1*sqrt(8))**2.\nAnswer: 3*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(612) - (sqrt(612)*2)**2) + sqrt(612) - (sqrt(612) - (sqrt(612) + (sqrt(612) - ((sqrt(612) + 1)**2 - sqrt(612))) + 3 + sqrt(612)))) + 0.\nAnswer: -3055 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31956 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 6:25 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c120 - 1d?\nAnswer: c101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 2*a**2)*(4*a**3 - 2*a**3 - 3*a**3) - a**5 + 12*a**5 - 3*a**5)*(109 + 55 + 148).\nAnswer: 3120*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1580932187?\nAnswer: 17, 29, 89, 137, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -159 - -159. Let q(h) = -2*h**2 - 2*h + 24. What is the remainder when 214 is divided by q(o)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10171 - 16?\nAnswer: 10153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*w - k - 373 = 0, 3*w - 4*k + 52 = 29 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4056 = 897*c - 1209*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + sqrt(48))*-5 + -1.\nAnswer: -20*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y + 1. Let l(b) = -b - 9. Let w be l(-6). Let o be z(w). Let j(u) = u**3 + 8*u**2 + u + 10. Let p be j(o). Do 2 and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - y + 2. Let z be p(0). Suppose -4*s - 3*u - 4 = -3*s, 5*s = 5*u + 40. Let t(m) = -m**2 + s*m**z - m**2. Let v(o) = 2*o**2. Determine v(t(l)).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.747189 rounded to one dp?\nAnswer: 16.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 371902 greater than or equal to 371902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1080 + 1080.1. Is 673 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0 - (871 - 893)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.8309794 - 7.660962. Let l = -0.0213 - 0.8087. Let n = d - l. Round n to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a + 2\/11*a**2 + 0 + 2\/11*a**5 + 6\/11*a**3 + 6\/11*a**4.\nAnswer: 2*a**2*(a + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0625824 rounded to 3 decimal places?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r\/r**(2\/41))\/r)\/r*r)\/(r\/r**(-7\/5))*(r\/(r*r**2))\/(r*r\/(r\/r**9*r)))**(-1) assuming r is positive.\nAnswer: r**(2552\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 2*n**2 + 8*n - 19. What is k(-5)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/12*546\/104. Solve -4*t - 4 + f = -2*q, -3*t = -4*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 478 - 382 = 0. Sort h, 2, 0, -2.\nAnswer: h, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -226, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**5\/5 + 11908*i**4\/5 - 12123588*i**3\/5 + 901781692*i**2 - 58574797480*i - 120776157600 = 0 for i.\nAnswer: -2, 84, 965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7711632099 rounded to 3 decimal places?\nAnswer: -1.771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398918 is divided by 83?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 34020\/675 + (-61 - -11)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4214442 is divided by 504?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -816*((-3)\/(-14) - 110\/154). What is the greatest common divisor of 918 and d?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925900483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**4\/10 - 52*g**3\/15 + 84*g**2 - 2736*g\/5 + 154. What is t in d(t) = 0?\nAnswer: -38, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-20)\/28 + (-2)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggygsgvvsyegvvvgo. Give prob of picking 1 g, 1 s, 1 v, and 1 e.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3855, 16852, 38993, 70278, 110707, 160280, 218997?\n\"Answer: 4572*p**2 - 719*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 57*h + 4. Let u(g) = -57*g - 4. Let f(s) = 5*r(s) + 6*u(s). Let o be f(-1). Let n = 32 - o. Is n at most as big as -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 53*x + 1532. What is l(-29)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 521622905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1991299*c**4 - c**3 + 333848*c**2 - 5*c?\nAnswer: 47791176*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000051922 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g. Let s(l) = l - 1. Let q(p) = 4*j(p) + 5*s(p). Let i be q(7). Find the second derivative of 0*z**i - 3*z + z - z + z**2 wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 7*c**2 - 4*c - 3. Let t be y(6). Suppose 0 = -t*p + 4*p - 220. Let m be 4\/(-22) - (-26392)\/p. Round m to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 34*g + 581. Let k be l(-16). Solve 40*h - k*h - 6 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 6*i + 1. Let v be n(-3). Let g be (-8)\/20 - (-64)\/v. Calculate the remainder when 11 is divided by (g\/4)\/(9\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 27105480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - k - 3*k + (0*k + 4*k - 3*k)*(0 - 2 + 5).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6683 - -3b642?\nAnswer: 46105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 0 + 0)*(-q - 2*q - 2*q + (0 + 0 - q)*(3 - 3 + 2)) - q**2 + 4*q**2 - q**2 in the form c*q + r + n*q**2 and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 10, -5, 3, 5, -27?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602*m = -638*m - 360 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-5)\/(-100))\/((-51)\/(-24)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 5:16 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 7:41 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1964593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**4*t**2 - 4*p**4 + 12*p**2*t**2 + 2*p**2*t - 3*p**2 wrt p?\nAnswer: 24*p*t**2 - 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 2032?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 34 + 62. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from xjlvjjxlvxjvjxvvvv?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1745555, 1745584, 1745629, 1745696, 1745791, 1745920, 1746089, 1746304?\nAnswer: 1746571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186908*h + 14 + 12 - 26.\nAnswer: -186908*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -890842 and 2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -227\/9. Let y(h) = h**3 + 15*h**2 - 34*h - 291. Let k be y(-16). Which is smaller: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 19 = 5*h - 2*g, 0 = -2*h - 5*g - 36. Let a = 9 + h. What are the prime factors of 3*(-1)\/6*a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*j = n - 117, -5*j = n - 62. Suppose -5 + n = 4*m. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -128*f + 125*f - 5*s + 10, 30 = -3*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19349*d + 17748*d = -148893 for d.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5908*u + 11371*u - 1566 = 5985*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/820862 and -41\/7854.\nAnswer: 27088446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204 and 510?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = z. Suppose z*i - 11 = 3. Let g = -6698 + 6737. What is the remainder when g is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -139 + ((15 - 39) + 42 - 1)?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*(-76)\/136)\/((-412)\/(-3502))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o. Suppose -3*c + 1 = -2*n, 8 = -2*n - 4*c + 28. Let q(l) = l - n*l + 0*l. Determine y(q(a)).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-4))\/w**(-3\/4))\/(w*w\/w**4*w*w*w\/w**(-2\/5)) assuming w is positive.\nAnswer: w**(-73\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9141353 divided by -1\nAnswer: -9141353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4829*k**3 - 19*k + 264*k - 4830*k**3 + 6 to b*k + y*k**2 + c*k**3 + f and give b.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c**3 - 2*c**2 - 4*c - 4. Let x(u) = -u**2 - u - 1. Determine d(f) - 4*x(f).\nAnswer: -6*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -40*z**3 - 1. Let m be q(-1). Let f be 6\/(-1)*(-2832)\/m. Let x = f + -436. Is x less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 + -4 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9215, -9221, -9227, -9233?\nAnswer: -9239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -12. Let b = 12663 + -12660. Solve -o*p = -u + 6, 2*p - u - b*u + 14 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19917859.7 to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 3*f**2 - 2*f - 3. Let p be j(-3). Suppose -4*v = -20, v + 11 = -p*s - s. Sort -4\/5, s, -0.1, -0.3 in decreasing order.\nAnswer: -0.1, -0.3, -4\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 - 26*c - 22. What is b(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7476, 2, 21, 1.\nAnswer: -1, 1, 2, 21, 7476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/5))**(4\/17)*(f\/(((f*f*(f**(2\/3)\/f)\/f*f)\/f)\/f)*f)\/((f*(f\/((f\/(f*(((f\/f**(-9))\/f*f)\/f)\/f))\/f*f))\/f)\/f))**(-2\/59))**(-21) assuming f is positive.\nAnswer: f**(-19894\/5015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*v**6 - 6*v**6 - 8*v**2 + 10*v**6 wrt v?\nAnswer: 2640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**3 - 8*h**2 + 7*h - 1. Let x(w) = -w**3 + w**2 - w. Let f(c) = v(c) + 5*x(c). Let b(o) = 3*o**3 + 4*o**2 - 2*o + 2. What is -3*b(p) - 4*f(p)?\nAnswer: -p**3 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119877798 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 118*a**2 + 146*a + 3383. Determine f(-117).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1617 divided by -3?\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/4*-4 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20358, -41716, -63074, -84432, -105790, -127148?\n\"Answer: -21358*s + 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.95 + 0.05. What is the nearest to -0.1 in i, 3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -131 + 135 + -1 + 1 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4) + 105\/6. Let i = y - 13. What is the tens digit of i\/8*2*17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**3 + 8*i**3 - 7*i**3 + 2*i**3.\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or 55744\/2029?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 15*y + 26. Calculate q(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700749203?\nAnswer: 7, 11, 19, 31, 15451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - 0. Let t = n - -0.75. Let a = t + 0.01. Round a to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -237013 - -237009. Suppose -8*f + 3*f = 80. What is the fourth biggest value in 0.1, x, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0457897049949 plus 0.1938?\nAnswer: 0.1480102950051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**3\/4 - 53337*y**2\/4 - 236026137*y\/4 + 9286322877\/4 = 0.\nAnswer: -8909, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3470 - b2?\nAnswer: 33ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -0.2 (c) 4\/7 (d) -5 (e) -37 (f) 0 (g) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -28*l - 6. Calculate p(2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*v**2 + 39*v**2 + 43*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 25*w - 2. Let q(o) = -o**3 - 14*o**2 + 18*o + 249. Let r be q(-14). Give d(r).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/19 - 1468*o**2\/19 + 2930*o\/19 - 1464\/19.\nAnswer: 2*(o - 732)*(o - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 3*r + 7. Let l be z(5). Suppose 3*v - l = -21. What is the smallest common multiple of 1 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 1 = -5*d. Let m be 87\/1 - (-26)\/(-13). Suppose -m = d*c - 8*c. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*h + 14*h + 58*h - 2010. Solve 3 = -18*d - h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-20))**32 assuming i is positive.\nAnswer: i**(-640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 50366 (base 8) to base 16\nAnswer: 50f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 10*u**2 + 2. Let n be r(10). Let y(h) = -h**2 + 2*h - 3. Let q be y(n). List the prime factors of 2\/(q*(-4)\/42).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -1)*2\/4. Let c(b) be the first derivative of -b**2\/2 + b + 10. Let s be c(-2). Solve 0 = -s*v - f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*x**3 + 11783*x**2 - 11783*x**2.\nAnswer: -247*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*r + 4*i, -r + 7*i - 10*i + 16 = 0. Let a(h) = 152*h**3 + 3*h**2 - 7*h + 6. Calculate the lowest common multiple of 18 and a(r).\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2. Let k(p) = -2*p - 6. Let g(u) = -1. Let d(c) = -6*g(c) + k(c). Give d(r(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.053 - 0.89.\nAnswer: -0.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**21)**(-5\/6)*c\/(c\/(c\/c**(-1\/5)))*c*(c\/(c*c**(1\/20)*c*c))\/c assuming c is positive.\nAnswer: c**(-367\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.603 (b) -2 (c) -1168\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1151 (base 9) to base 5.\nAnswer: 11411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38120)\/(-80) + 3*1\/(-2). Suppose 6*a = 1609 - o. What is the highest common factor of a and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5352 - 5559. Let x(b) = -23*b**3 + 2*b + 2. Let m(r) = 2369*r**3 - 207*r - 207. Give o*x(c) - 2*m(c).\nAnswer: 23*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3667 - -3681. Let k(m) be the second derivative of -9\/4*m**2 + d*m - 1\/2*m**3 + 0 - 1\/24*m**4. Factor k(p).\nAnswer: -(p + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 6*f**2 + 2*f + 9. Suppose -2*u - 5 = 4*m - 3*m, 5*u + 45 = 4*m. Suppose -2*a = -m*a + 21. What is the remainder when c(a) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9192.\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -383205, -3, 8, 5 in descending order.\nAnswer: 8, 5, -3, -383205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*n + 7079 - 28273 + 7055 + 7068 + 7071.\nAnswer: -126*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n. Let o be -10*(-2)\/2 + -2. Let v(a) = -2*a + o*a + 0*a - 7*a. Calculate k(v(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*x + 10 = 0, -3*x + 4 = -2*n + 15. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -230461020 <= -230461019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1342*n - 987*n - 13 + 13)*(-3 - 3*n + 3 + n + 2*n - 4*n + (5 - 1 - 5)*(-n + 7*n - 4*n) + 2 - 2 - 2*n).\nAnswer: 18632*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 89*i**3 - 4*i**2 + 10*i + 14. Let k(l) = -89*l**3 + 4*l**2 - 12*l - 16. Let u(z) = 2*k(z) + 3*q(z). Is u(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -45. Suppose 0 = -f*c + 8*c. Which is bigger: 4\/17 or c?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 69. Let t be (14\/u - 162\/28)*2. Let i = 67\/2 - 32. Sort 0, t, i.\nAnswer: t, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260500 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 16. Suppose f*l - 4 = 152. Calculate the highest common divisor of 26 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -19702, -3\/7, -4\/11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -33. Solve -4*d + i - 19 = -p, 9 = -d + 5*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + c + 230. Let o = 200 + -281. Let w = o - c. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 101, 105, 111, 119?\n\"Answer: r**2 + r + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*l**6 - 2*l**3*t + 2*l**3 + 3*l**2*t - l**2 - t wrt l.\nAnswer: 9120*l**3 - 12*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 33 + 11. What is the highest common divisor of 44 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 546 and 71526.\nAnswer: 71526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -1\/3 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*t + 3*t = 14*m - 17*m + 12, 2*t - 8 = -2*m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k. Let i be 9\/3 + -1 + -3. Let l(d) = 9*d + 10. Let b(v) = -8*v - 7. Let t(f) = 5*b(f) + 4*l(f). Determine i*t(n) + 3*r(n).\nAnswer: n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from wrrwrwwrwwwwwwwwwr?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -169*f**5\/5 - 143*f**4\/2 + 503*f**3\/3 + 264*f**2 - 576*f - 1126. Factor x(q).\nAnswer: -(q - 1)**2*(13*q + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 286\/66 - 4\/(-6). Suppose -t*x + 582 = -10*x - v, 5*x = 4*v - 597. Let a = x - -119. Solve 3*i - i - a = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3 - 2\/3*d - 2\/3*d**2.\nAnswer: -2*(d - 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 3 - 3)*(-6*o + 3*o - 5*o)*(3 + 3 - 2) in the form p + c*o**2 + j*o and give c.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244155*w + 244149*w + 4*c = 322, -3*w + 3*c - 156 = 0 for w.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368 and 20884.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccfcfcccccfcccccc. What is prob of picking 2 c?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 100 = 2*l. Let s be ((-2)\/5)\/(l\/(-500)). Is s\/(4 + 7\/(-2)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**7\/6300 + g**6\/675 + g**5\/300 + 55*g**3\/3 + 75. Let o(s) be the third derivative of n(s). Solve o(r) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one halves of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zybzzxzzyzbz?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79 - -185. Suppose 99*w = v*w - 21. Solve -4*a = w*l + 25, 0 = -5*l - 3*a - 40 + 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/134 and 71\/16.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 + 38*u**3 + 390*u**2 + 1098*u + 972.\nAnswer: -2*(u - 27)*(u + 2)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 148757.\nAnswer: 23\/148757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 492865.10982?\nAnswer: 492866.10982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, j: 13}. What is prob of sequence hhj?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 0.5, 136, 0.06, 2\/23, -0.2, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2114 divided by -3\nAnswer: 2114\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 185353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23 - -182)\/3)\/(-1) - 27?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, -87 in descending order.\nAnswer: 7, -1, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 26 + 4 + (-13 - 0)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 12:06 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a + 35. Let m be x(8). Suppose -37 - 29 = -n - 4*b, m*n = 2*b + 240. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -43, -102, -187, -298, -435?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 4*k + 10, -8*v - 6 = 4*k - 9*v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + -0.7. Which is the nearest to n? (a) -0.1 (b) -3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11438 or -10923?\nAnswer: -10923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.627 (b) -1 (c) 3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 10*w + 45. Calculate the smallest common multiple of 5 and m(13).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -21. Suppose 0 = 6*v + 24*v + 60. What is the third smallest value in -1, g, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531193520 a multiple of 2288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 17200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -33. Suppose -2*v - 2*v + 2*m = -98, a = -4*m + 12. Suppose 5*w + 5*y = -94 - v, -80 = 3*w + 5*y. Sort -2, w, 2 in increasing order.\nAnswer: w, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5411 and 4508?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) - (-30)\/(-336). Let g be ((-2)\/6)\/(14\/(-12)). What is the closest to g in 0.5, 4, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - -0.6. Let h be 1 - (-2 - (2 + -3)). Let i be (h\/5)\/(2\/(-1)). Which is the closest to q? (a) 5\/3 (b) i (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (217\/(-1085))\/(0 + 3\/(-25)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12575302 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**4 + 215*f**3 + 2783*f**2 - 6215*f + 3216 = 0.\nAnswer: -201, -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jbjjbmljm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5827?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1223*0.05\nAnswer: 0.006115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**3 + 9*m**2 - 29*m + 9. Let v be y(13). Let d = v - -76171\/14. Find the common denominator of -79\/14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171943.\nAnswer: 139, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 49*f**2 + 519*f - 9. Give q(34).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 + 0.24. Let g(j) = -4 + 1 + j + 8 + 6. Let d be g(-8). Sort m, d, -2\/15 in ascending order.\nAnswer: -2\/15, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 4*m**2 + 2*m - 1. Let n be c(-2). Suppose -n*w = -3*g + 57, -2*g + w - 16 = -52. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 500354 and 8.\nAnswer: 2001416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4615.9898 and -1199111?\nAnswer: 1194495.0102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3988 + -3980. Solve 2*m = -2*r + a, -4*r + 24 = 5*m + 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 39, 56, 73, 90, 107?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (21670\/1182)\/((-33)\/(-81))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1\/4 (c) 3 (d) 0.2 (e) 22166\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -280*u + 10. Let t(c) = 6*c + 2. Give 4*n(x) - 20*t(x).\nAnswer: -1240*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 537\/6 + (-63)\/42. What is the greatest common factor of 594 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -7*v**4\/12 - 13*v**3\/6 - v**2 + 4*v. Let w(s) = 6*s**2 + 12*s + 3. Let y(u) = -3*t(u) - 4*w(u). Solve y(n) = 0 for n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.38, 4, -0.4, -5, 1, -13\/4 in descending order.\nAnswer: 4, 1, 0.38, -0.4, -13\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -81? (a) 0.4 (b) 1\/4 (c) -3\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m**2\/2 - 306570*m - 26474625\/2 = 0 for m.\nAnswer: -17475, -303\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, l: 2, w: 5, z: 2}. What is prob of picking 1 j and 1 z?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 + 11*p**4\/2 + 13*p**3\/2.\nAnswer: -p**3*(p + 1)*(2*p - 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 h when three letters picked without replacement from {m: 1, g: 4, h: 2, e: 2, d: 3}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 195843 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43a8 - -22617?\nAnswer: 1921a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o + b + 2 = 0, 0 = -3*o - 4*b - 8. Suppose -k + 1 - 7 = o. List the prime factors of 11\/66 + (-239)\/k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155580327655+6\nAnswer: -155580327649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 4 + 4)*(7*n + 7 - 7) + (-1 + n**2 + 1)*(1 - 1 + 1).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246790 = 15*l + 24*l - 16*l. List the prime factors of l.\nAnswer: 2, 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100\/9 - -473\/45. Sort -4, f, -1.\nAnswer: -4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.13 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -449*v - 12. Suppose -67 = c - 66. What is the hundreds digit of m(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000093989623 to 7 decimal places.\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, e: 2, p: 11}. Give prob of picking 1 p, 1 f, and 1 e.\nAnswer: 44\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = y - 160. Let x be -1*3*y\/12. Solve -2*m = -3*k + 11, -m + 4*m + 4*k + x = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1654*l - 19604. Give f(-12).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 292492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -20, 5, -13843 in descending order.\nAnswer: 5, 4, -3, -20, -13843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.23 + -1.4. Let p = -0.03 + d. Let b = p - -1.2. Which is bigger: b or 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 19*f**2 - 3*f + 6. Let m be x(3). Suppose -q - 5*r = 2*q - 514, -q + m = r. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 15. Let r(g) = -g**2 - 7*g + 28. Calculate the remainder when r(-9) is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1871637 and -0.4.\nAnswer: 748654.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 2575947 = -2575723 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 10:34 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001261872 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - a = 13, -4*u + 2*a + 28 = -2*a. Let t be 3*4*2\/(-6). What is the units digit of u\/t - (-15)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2896 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + b**2 - 4*b**2)*(2*b**2 - b**2 + b**2) + (4*b**2 + 13*b**2 - 6*b**2)*(2*b**2 + 0*b**2 - b**2).\nAnswer: 7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105420225, 105420231, 105420237, 105420243, 105420249?\nAnswer: 105420255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(3*sqrt(1078) + sqrt(1078))*2)\/((-1*sqrt(176) + sqrt(176))*3 + 3*-1*sqrt(176)))**2.\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 17 = -2*r, 12*r + 5*d - 1 = 16*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 30*t + 5. Let h be y(5). Let x be ((-567)\/14 + -6)\/(3\/(-4)). Let u be (x*-3)\/(-6) - 0. Calculate the highest common factor of h and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/170*(-2360)\/(-354))\/(-3 + 145\/45)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + 2a?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/63368 and 37\/267.\nAnswer: 190104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 2, l: 2, c: 1, h: 3, f: 3}. Give prob of sequence hk.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -9*u + 100. Let s(j) = 1. Let b(n) = 4*n - 12. Let r(v) = -b(v) - 12*s(v). Let a(m) = -13*m. Give u*a(p) + 14*r(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1485, -5, -4, -8 in descending order.\nAnswer: 9, -4, -5, -8, -1485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1082193961*k**2 + 1017970390*k wrt k.\nAnswer: -2164387922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96670 at least as big as -4625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.47654, 5, 3\/4, 2\/21, -2\/7 in descending order.\nAnswer: 5, 3\/4, 2\/21, -2\/7, -0.47654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -4.1283845127813.\nAnswer: -3.8283845127813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54 or -39.91103?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2381 and -4481.\nAnswer: -10669261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4149*d + 3*d**5 - 3118 + 6236 - 52*d**4 - 3118 - 89*d**4 wrt d.\nAnswer: 60*d**3 - 1692*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1504.54 take away -417?\nAnswer: -1087.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 1 - 1)*(5 + 6 - 8) + 0*r - 3*r + 2*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32069 - 30526 = -5*m + 2*b, 0 = b - 5. List the prime factors of m.\nAnswer: 19, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 + 2*q + 1. What is c(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5535 and 135312915?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1596*v - 132587 = 85*v + 2596*v for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 27*k + 422. Let o be m(-38). Let l(a) be the third derivative of 0*a**3 + 0 + 0*a + 11*a**2 - 1\/12*a**o. Let h(i) = 42*i. What is h(l(z))?\nAnswer: -84*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1)\/((-3)\/(-12)). Suppose 2*d + b - 16 = 0, -f*d = -4*b + 2*b - 24. Is 4 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 - 34) + 3 + -1 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**3 + 7*u**2 - 14*u + 5. Let f(y) = 4*y**3 - 7*y**2 + 13*y - 5. Let p(l) = 6*f(l) + 5*i(l). Give p(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*u + 4)*(u - 1 + 1) - 1912*u**2 + 1737*u**2 - 8364*u**2.\nAnswer: -8537*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*c**3*l*u**2 + 4*c**3*u**3 - 20*c**2*l*u**3 + 2*c**2*u - 10*l*u**3 + 18*l*u**2 wrt u.\nAnswer: 24*c**3 - 120*c**2*l - 60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2 (c) -9 (d) -0.1 (e) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 1. Let l be -1*(2 - 1)*0. Suppose -4*s - s - 15 = l. Determine u(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -347064 (base 11) to base 6\nAnswer: -15451224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -18552\/17 and -1091 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-9) + 32\/66. Which is the closest to -0.2? (a) -2\/7 (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 207 = -3*d, 3*d + 5 = -4*r - 163. Let w = r + 90. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -l - 2*b, l - 6*l - 5 = -3*b. Suppose 0 = l*d - d - 48. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225166032 divided by 624\nAnswer: -360843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -366665\/4 = -91667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 511914077 to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24998 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((8\/(-4))\/(-1)). Suppose l = -0*k - 4*k + 4*j + 36, -25 = -k + 5*j. Solve 3*a - 13 = -n, 2*n - 1 = k*a - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4442554943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 208612 to the power of 1\/2, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37386 and 10314.\nAnswer: 21422178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (1 + 0 - -4). Let p(l) = -905*l - l**u + 905*l - 36. Let f(d) = d**2. Give p(f(v)).\nAnswer: -v**4 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 17*j - 3. Let b be h(4). Let d = b - -27. Suppose -3*m + d = g, 2*m - 52 = g + 3*g. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/3)\/(250\/(-375)). Which is the third biggest value? (a) -4 (b) 1276 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-65)*(-375)\/125?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 19*p - p**3 - 8*p - 5*p**2 - 5*p + 6. What are the prime factors of m(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/(-2) + 3 + 0. Let t be (-15 - 1)*6\/d. Calculate the greatest common divisor of 32 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 45563916?\nAnswer: 45563916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u - 28*u = -81478. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11531\/25580 + -1\/1279. Calculate the common denominator of 17\/1188 and n.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3\/7, -9, -0.3, 0.053?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -0.9\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 + 9*z\/2.\nAnswer: z*(z + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.08242336 and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k**3\/7 - 42186*k**2 + 9566724*k\/7 - 3156096\/7 = 0 for k.\nAnswer: -16438, 1\/3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, -5, -3, 327, 632 in descending order.\nAnswer: 632, 327, 1, 0.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-39)\/(-130)*(-8)\/48*1)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 4*x = 12*j - 12, -5*j + 4*x = 36 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from hhhuhuuuhuhhuhhhhh.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -230, -659, -1294, -2147, -3230, -4555, -6134, -7979?\n\"Answer: -2*y**3 - 91*y**2 - 142*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 251250000 rounded to the nearest one million?\nAnswer: 251000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x = -x. Suppose x = 4*o + 3*o - 21. Solve 2*c = 3*q - 0*c + 13, -4*c = o*q - 17 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 147860211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -61. Factor 4\/7 - 4\/7*m**2 - 2\/7*m + 2\/7*m**t.\nAnswer: 2*(m - 2)*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16641123 + 5?\nAnswer: 16641131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0479073 + 0.048. Round w to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-2)\/(-1 - -3)). Suppose -2*q + 12 = 2*a, -62 + 47 = -5*q. Let r = -4 - -6. Solve a*g - g + r = n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 10*h + 2. Let t be n(0). Factor q**t + q**2 + 2914 - 2032 - 84*q.\nAnswer: 2*(q - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/11 (b) 79 (c) 2\/5 (d) -0.88 (e) -7 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 7*p**2 - 6*p + 5. Let o be u(6). Suppose -2 - 15 = -o*l - v, 4*l + v = 14. Solve 0 = l*r - 0*r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 4*v - 8. Calculate s(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18429*o = -11813*o - 6616 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**2 - a. Let i be z(-1). Let d = 5 + i. Find the third derivative of 3*x**6 + d*x**6 + 0*x**2 - 2*x**2 wrt x.\nAnswer: 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41849900.\nAnswer: 2, 5, 29, 14431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5180142, -5180116, -5180072, -5180010?\n\"Answer: 9*c**2 - c - 5180150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*q**2 + 0*q**2 - q**2 + (2 - 1 - 3)*(4*q**2 - q**2 - q**2).\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppp. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 259\/72 - 27\/8. Which is smaller: -0.1 or w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4691170220.\nAnswer: 2, 5, 11, 71, 300331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**2 + 1. Let n be d(1). Let t(b) = -13*b + 3. Is t(n) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 4*g + 6. Let o(z) = -2*z**3 + z**2 - 8*z + 12. Let w(d) = 4*o(d) - 7*s(d). What is w(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is adc - 3?\nAnswer: ad9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 989.0947 - 989. Let v = 2.9053 + z. What is the biggest value in v, -0.3, -241?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/4 + (-4)\/4. Suppose -3*c - 2 = -n, -5*n = -v*c - 2 - 8. Is 0 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 15.9999995. Round h to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 2*o - 8*y + 7, 0 = 5*y - 14 + 19 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56735.91 minutes in milliseconds?\nAnswer: 3404154600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 6. Let a(b) = 15*b + 13. Let s(n) = 2*n. Let k(w) = -a(w) + 6*s(w). Let z(p) = -5*j(p) - 3*k(p). Calculate z(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 3*g + 7. Suppose 76*i = -3*p + 72*i - 12, 0 = -2*p + 3*i + 9. What is y(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 25*a**2 - 66*a + 19. Give f(-22).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15 - (-6)\/(-3)) + -1. Let j be 6\/(-4)*2\/s. Which is the second smallest value? (a) -0.2 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01046995 to 4 dps.\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -221?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8115 - 6445. Is 64 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*t - 21 = 145*t + 3*i, 3*t + 4*i + 15 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 4*d - 26 = 0, -7*d = 4*a - 10*d + 27 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 59\nAnswer: 13\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.084 - -4514589758\nAnswer: 4514589758.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 4 + 2 + 1. Let t be p(-4). Calculate the remainder when 12 is divided by (-6)\/(-4)*(-42)\/t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.00736 rounded to 2 decimal places?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2414430 - -4?\nAnswer: 2414434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 15 = -3*a, 0*g - 3*a - 7 = g. Let c be g\/(-26) + (4\/312 - 0). Factor c*v + 0 - 1\/6*v**2.\nAnswer: -v*(v - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/21)*w*w\/(w\/(w*w**(-2)*w))*w*(w**7)**(2\/47) assuming w is positive.\nAnswer: w**(2221\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 5. Let l = s - -5.5. Let n = -2.98 - 0.02. What is the second biggest value in n, l, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 + 106. Solve -k = -10*y + 11*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 28*i + 2. Let w(r) = -4*r**2. Determine f(w(p)).\nAnswer: -112*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380 and 188594.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232965?\nAnswer: 3, 5, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38019199.\nAnswer: 38019199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 39+-10.263295\nAnswer: 28.736705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/22 and 41\/204052?\nAnswer: 2244572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**4 - 10*i**3 + 2393*i**2 - 430979*i.\nAnswer: 36*i**2 - 60*i + 4786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18810 + 18815. Suppose 6 = -4*c + 2*f, -6 = -2*c - 0*c - 2*f. Let s(h) = -2 + h - 3 + c. Calculate s(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1518*g**3*h*l**2 - g**2*h*l + 15*g*h*l**2 + 63*g*l**2 wrt g?\nAnswer: 9108*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {w: 1, j: 1, z: 1, e: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/85282 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 109. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/11 - 83012*h**4\/11 + 332106*h**3\/11 + 1079252*h**2\/11 - 332104*h\/11 - 996240\/11 = 0 for h.\nAnswer: -41510, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8374314\/19 or -440753?\nAnswer: -440753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3162*t - 2509*t = -15672 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j + 0*j)*(3*j**3 - 3*j**3 - 4*j**3) - 2*j**2 + 2*j**2 - 2*j**4 + (-10*j**3 + 11*j**3 + 9*j**3)*(-4*j + 2*j + 3*j) + j**4 + j**4 + 7*j**4.\nAnswer: 13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13230133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1296 and 152496.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/252 and 413\/(-552) + (-220)\/(-1760).\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t + 8. Suppose l = 4*w - 18, 2*l + t*w = 5*w - 11. Suppose 0 = f - 2 - 0. Solve f*u + y + 3*y = 18, -3*u - l*y = -19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5, 2*y - 2*z - 11 = -7*z. Let v = -1 + 2. Let g be (v + -2 + 1)\/1. Solve g = -s - 2*d, -4*s + 2*d - y = d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3773388 and 24859968?\nAnswer: 422619456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19865765?\nAnswer: 5, 3973153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4953 < 5057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1176)*-2 + 2*sqrt(2904))\/(4*-1*sqrt(512)*3).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 6. Suppose 5*t = -y*t. Suppose t = -a + 8. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564.1125 hours in nanoseconds?\nAnswer: 2030805000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1351 divide 2992465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3 = -3*a. Let m(t) = t**3 + 1. List the prime factors of m(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 1. Let a be 3*1\/(-3) - 0. Let p(y) = -3*y**3 + 3*y - 1. Give a*x(d) + p(d).\nAnswer: -2*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(5*p - p - 2*p + (3 + 9 + 1)*(2 - 2 - 2*p)) in the form c + f*p and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1308621188.\nAnswer: 2, 7, 47, 994393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -975*d + 62439 + 2682 = 997*d - 68975 for d.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380821145?\nAnswer: 5, 76164229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5709 + 5731. Let h = 0.07 + -1.07. What is the fourth smallest value in h, -3, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*n - n - 2232 = 0 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 282204*t - 6636591468.\nAnswer: -3*(t - 47034)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a kilometer in meters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/43)*a*a*a*a**(-14) assuming a is positive.\nAnswer: a**(-475\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2 - 7, 0 = 5*s + 3*u - 1220. Calculate the remainder when s is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 0 + 0)*(0*y**2 - 39 - 9*y**2 + 7*y**2) to r*y**3 + n*y + b*y**2 + k and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4899 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*k*l - 6402641*k*u - 11*l*u - 107*u + 27064 wrt k?\nAnswer: 27*l - 6402641*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34481\/450060 - -5\/577. Calculate the common denominator of r and 85\/96.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -175 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -141, -319, -617, -1035?\n\"Answer: -60*v**2 + 2*v - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 7*h**2 - 7*h + 8. Let c be j(6). Let m(l) = l**2 - 3*l + 3. Let n be m(2). Sort n, c, -4.\nAnswer: -4, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.625876mg to grams.\nAnswer: 0.001625876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*q + 0*q + q)*(-15 + 8*q**2 + 15) + 3*q**2 + q**3 - 3*q**2)*(-502 - 118 + 277) as m*q**2 + c + v*q + z*q**3 and give z.\nAnswer: 5145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 63*l**2 - 18*l + 37. Let y be d(-18). Suppose 0 = -6*z + 2885 + y. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89656?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*s + 1, -3*k - 2*s - 25 = -s. Let p(b) = b**2 + 6*b - 4. Calculate p(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 33*r**2 - 204*r + 10. What is f(-24)?\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15939169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 - 2*f**3 - 3*f - 84 + f as s*f + d*f**3 + i*f**2 + o and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-648)*-9)\/(2\/(-8)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwgy when four letters picked without replacement from {w: 4, g: 2, y: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1474, 1122, 540, -272, -1314, -2586?\n\"Answer: -115*u**2 - 7*u + 1596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w. Let t(a) = -3*a**2 - 7*a + 5. Give -5*n(z) + t(z).\nAnswer: -3*z**2 - 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 7\/5, -81, -0.06, 72?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -526.6 take away 6693826327?\nAnswer: -6693826853.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -7*c**3\/6 - 16*c. Let x(i) be the second derivative of i**3\/3 + 3*i. What is q(x(d))?\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9136.967 litres in millilitres?\nAnswer: 9136967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11\/35 + 5\/7. What is the second biggest value in 7, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696\/7 + (-8)\/(-14) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772688?\nAnswer: 2, 7, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -51689 + -850.46\nAnswer: -52539.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**3 + 45445*h**2 - 5*h - 45445 = 0. Calculate h.\nAnswer: -9089, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Calculate the remainder when (((-172)\/2)\/(-2))\/((-1)\/(-1)) is divided by ((3 - r) + -13)*-2.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0472023 milliseconds to hours.\nAnswer: 0.00000001311175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/45 (b) 2\/13 (c) 1 (d) 3\/8 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*a**6 + 127*a**6 + 466*a**2 - 228*a**2 wrt a?\nAnswer: 21960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3108 a factor of 1028260044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/32 and -77\/22132640?\nAnswer: 22132640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -218 - -246. What is the highest common divisor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 6*l**2 - 2*l - 1. Let a(b) = -b**3 + 3*b**2 + 2*b - 2. Let f be a(3). Suppose -f = 4*w - 20. Is r(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**4 + 6*c**3 + 46*c**2 + 66*c + 28 = 0.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*y**4 + 2675472*y**3 - 2006532*y**2 + 501627*y - 41802 = 0. Calculate y.\nAnswer: 1\/4, 13934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15064172 + -170827710373\/11340. Calculate the common denominator of -47\/2 and x.\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 27*i - 171*i + 71*i to n + t*i and give t.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 265034281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 8:30 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20756285 divided by -5\nAnswer: 4151257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 123, 132, 141, 150, 159?\n\"Answer: 9*n + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -3\/5032, -0.04 in decreasing order.\nAnswer: -3\/5032, -0.04, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 4 + 6 = 5*o, 3*p = -4*o + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 11, r: 1, p: 6, f: 1}. What is prob of picking 1 f and 1 r?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10\/12*28\/63*3\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5112 - -5117. Which is the second smallest value? (a) -2\/3 (b) y (c) 68.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4476\/73854)\/(1\/(-11)) + (-6)\/(-8)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5))\/((-98)\/(-35)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 0*c - 3*c - 10 = 0, -4*i + c = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = -t. Suppose t = -4*s - 3*s. Factor 1\/4*k**3 + 0*k**2 - 1\/4*k + s.\nAnswer: k*(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -56560, -113121, -169684, -226249, -282816, -339385, -395956?\n\"Answer: -v**2 - 56558*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6.9 times -21043\nAnswer: 145196.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*m**3 + 6*m**3 - 24*m**2 + 21*m**2 + 3*m**2.\nAnswer: -299*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-2))\/((-6)\/(-52)). Let m = -16482 - -16768. Calculate the highest common divisor of n and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1245611 divided by -5.\nAnswer: -1245611\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, f: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 198*c + 85*c - 36*c + 136*c + 486*c in the form h*c + x and give h.\nAnswer: 869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 8. Suppose 15 = -k - 5*r, 0 = 4*r + x + 6. Let p = -253 - -1775\/7. What is the closest to -1\/2 in -3, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + (-159)\/(-33))\/1. What is the nearest to 4\/5 in q, 1\/6, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z - 4*z + 4*z + (31 + 9*z - 31)*(0 - 7 + 0) + 0 + 0 + z - 6*z - 8*z - 25*z in the form f*z + j and give f.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - i - 2. Let y(l) = 4*l**3 - 3*l**2 + 2. What is the remainder when y(2) is divided by m(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 7242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y + 5*j = -32*y - 20, -5*y - 60*j - 240 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0180492 or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 2584559103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 53 = -9. Suppose -r*c = -10*c - 4. Is 11 a factor of 141\/11 + c\/22 - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/10*(5 - 10). Suppose 3*v = 3 + m. Suppose -5 = -4*i - v*x + 28, -3*i + 27 = 3*x. Solve 0 = 5*c - 5*l, -l - 2 = -5*c + i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 - 114. Suppose -11 = -5*p - m. Sort -25, p, 3 in descending order.\nAnswer: 3, p, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13 - -0.01. Let c = d - -0.01. Let p = c - -0.109951. What is p rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12430.99 weeks to nanoseconds.\nAnswer: 7518262752000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3033?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 83456\/56 - (-4)\/(-14). Suppose -3*f + 891 = 3*k + f, -5*k = 5*f - l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41376 divided by 59.\nAnswer: 41376\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 200*p**3 - 6*p**2 + 29*p**2 - 2.\nAnswer: -200*p**3 + 23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -4. Suppose 127 + 17 = s*g. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 0, 1\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/((g\/(g*(g\/(g*g**(-4\/3)*g))\/g))\/g)*g*g)**11 assuming g is positive.\nAnswer: g**(143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -115 + 129 + -4 + 2 + -4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 17 - 15 = -2*l, -2*l + 4*t = -7 + 39 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(49\/12)*-14. Suppose -2*o + 2*h = -p, 2*o - o + 4 = -3*h. What is the units digit of (-3 + 28\/o)*70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/459 and 44\/1275.\nAnswer: 11475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46122789.\nAnswer: 3, 29, 43, 12329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*p = 84 - 12, 5*j + 3*p - 120 = 0. What is the remainder when 93 is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 755 divide 6842482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24 or 309\/13?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -298, 0.4 in decreasing order.\nAnswer: 0.4, -3\/7, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (128 + -209) - -46?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -1ed394?\nAnswer: -1ed391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -h + 88. Let w(x) = -13 - h + 27 - x. Give w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -7*d + 18. Suppose -n = -2, -4*q + 2*n + d = 6. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fba when three letters picked without replacement from {a: 1, b: 1, u: 1, f: 2, h: 1, e: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524744941 a multiple of 2993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 9 (b) -1\/2 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**4\/3 - 74*g**3\/3 - 140*g**2 - 307*g + 7. Solve o(n) = 0.\nAnswer: -35, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 + 1299\/6)*(0 + 4).\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 4, l: 3, g: 1, k: 2, x: 1}. What is prob of picking 1 n and 1 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 10*a**2 + 29*a + 30. What is z(-12)?\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30946870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19*(-2 - -6 - 2). Let r = n + -13. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 16*c = -11*c - 189, c = -2*h + 177. Calculate the remainder when 434 is divided by h.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6561 - 4596. Let f = -1932.74 + c. Let o = f + -32. Round o to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 + 18*t + 7. Suppose 3*n - 26 = -z, 5*z + 0 = 10. Let v(y) = -11*y + 2 - 7 - 1 - n*y - y**2. Let i(l) = -3*v(l) - 4*x(l). Solve i(r) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1002200120021 (base 3) to base 8\nAnswer: -2165225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 1 - 32\/(-14))*7. Let m(c) be the first derivative of c**2\/2 + 6*c + 5. Let r be m(-4). Solve -3*o + f = -r*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38005063.999955 + -38005319. Let c = m - -255. What is c rounded to 6 dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.108 and 107054?\nAnswer: 107053.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/33))\/(i**(5\/4)*i)*(i**(-3\/28))**(-21\/5) assuming i is positive.\nAnswer: i**(-122\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1144 by 469.\nAnswer: -1144\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1003.21296 times 0.2\nAnswer: -200.642592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1947278778 to the power of 1\/3, to the nearest integer?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 6560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2222.00219 + -2222. Round k to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -1\/3, 13\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, p: 2, j: 4, n: 4}. Give prob of picking 4 j.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 8\/((-128)\/30). What is the nearest to -0.1 in -2\/5, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*p**4 + p**3 - 14 + 20 + 13*p**4 - 2*p**2 - 8 as g + d*p**2 + k*p**3 + i*p + h*p**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 63 = -2*x + w, -5*x - 5*w = 105. Suppose 25 = 8*r - 3*r. Calculate the lowest common multiple of r and (9\/12)\/((-9)\/x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 279294454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 1408?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 37 = 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*q**3 + 37*q**3 + 48*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 2*h - 22, 3*c + 3*h + 0 = -9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 1:43 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.86287 to three decimal places.\nAnswer: 0.863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**3\/6 - 2*u**2 - u. Let v be (-125)\/(-45) + 2\/9. Let k be i(v). Are -2 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14843 - -2?\nAnswer: 14845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387479 is divided by 258?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 150, 140, 128, 114, 98?\n\"Answer: -x**2 - 7*x + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1378 + 1447. Solve -4*w - j = -65 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-31)\/((o\/(o\/((o\/(o\/(o\/(o\/(o\/o**(-24)))))*o)\/o)))\/o) assuming o is positive.\nAnswer: o**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**8\/5040 - d**5\/15 - 5*d**2. Let o(t) be the third derivative of l(t). Find i such that o(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.7, 0, -5, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2. Let b(t) = -102*t + 207*t - 84*t. Calculate c(b(g)).\nAnswer: -882*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 527999981*n**3 + 2*n**2 - 1. Let i be v(1). Suppose 3*l + i = 9*l. Suppose 2*h - 5*h - 70400009 = 4*z, -5*z - l = -h. Round z to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 12, -2\/5, 0.02, 2 in ascending order.\nAnswer: -36, -2\/5, 0.02, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9521 + -9501. Let y(s) be the second derivative of 0 - b*s + 0*s**4 + 0*s**3 + 20*s**2 - 3\/5*s**5. What is the derivative of y(u) wrt u?\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*m + 13. Let v be (-5 + m)*(-42)\/(-18). Is 3 a factor of (-2)\/((14\/12)\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/121 + (-284)\/11. Let q = 36 + h. Which is greater: q or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4057494 and 0.002?\nAnswer: 4057494.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10994297 is divided by 134?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1462665694 to 6 decimal places.\nAnswer: -0.146267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 - 3\/6*4*1. What is the greatest common divisor of s and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/13068 and -73\/9.\nAnswer: 13068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2543404249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z - 3*z)*(-3 - 2*z + 3) + 11 + 0*z**2 - z**2 - 8.\nAnswer: 3*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*c + 727 = 1312 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/((-14)\/(-24)))\/(-1). Let p be (-2)\/i*22 - 3. Is 0 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -204*j**3*u**2 - 39*j**3*u + 2*j**3 + 4*j*u**2 + 202*j*u + 4*j + u**2 wrt j.\nAnswer: -1224*j*u**2 - 234*j*u + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11a7a65 (base 13) in base 3?\nAnswer: -101100110202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = 4*h, -4*h + 140 = 4*w. Suppose -w + 123 = 3*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 17575*z. Let r(a) = -48*a**2. Calculate r(b(l)).\nAnswer: -14826270000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151, 4, 13, 3 in descending order.\nAnswer: 13, 4, 3, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 5*g**2 - 7*g - 1. Determine w(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*o**2 + 26*o**2 - 4 + 11*o**2 + 2 in the form v*o + m + g*o**2 and give g.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 4 - (-7 + -14) - 9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdprdppdpddpppdppdpp. Give prob of picking 3 d and 1 p.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - -22. Let y = 124.5 - 66. Let t = y - k. Put 4, -0.1, 2\/3, t in decreasing order.\nAnswer: 4, 2\/3, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -507 + 437.5. Let z = w - -69.4. Which is the nearest to -1? (a) -0.2 (b) -1 (c) 1\/26 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 8784 = -6*m. Let x = 186658\/85 - m. Let b = 101\/680 + x. Is -1 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 0. Let j be 3870\/126 - (-1 - 10\/(-14)). Let g = j - 27. Solve -2*y + 10 = -2*n + 3*y, g = 3*n + s*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 11*h + 4. Let p be x(11). Let g(i) = 5 - 3 - 4*i**3 + 5*i**2 - i**3 - 2*i + p*i**3. Determine g(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -5. Let v = -1 + 26. Let m = v + -18. What is the biggest value in i, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165711 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2825.692 days?\nAnswer: 4068996.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 52, 4, -1\/4, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + 1. What is the remainder when 29 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 2:22 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 + -31 - -15) + 3 + 11.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*b - 43*b - 2 = 3*t, -b - 5*t = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 43, 0.0338, 6?\nAnswer: 0.0338","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -102022 (base 3) in base 10?\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222920 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 145476 and 64656.\nAnswer: 581904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12667, 101279, 341777, 810103, 1582199, 2734007?\nAnswer: 4341469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -745 times 5\nAnswer: -3725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -10*h**4 + 4*h**3 + 16*h**2 + 20*h - 6. Let u(a) = -a**4 + a**3 + a**2 + a. Let j be 1\/11*-134 + (-28)\/(-154). Let q(n) = j*u(n) + c(n). Factor q(g).\nAnswer: 2*(g - 3)*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-2)\/d*d*d)\/((d*d*d*d**(-1)\/d*d)\/d))\/(d**2\/d**(1\/4)))**36)**(-3\/11) assuming d is positive.\nAnswer: d**(405\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 17 = o, -5*g + o + 9 = -20. What is the highest common divisor of g and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2949348 and 1177.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -10*h**2 - 76*h + 436. Give b(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457032.\nAnswer: 2, 3, 137, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 55. Suppose -6*i = -7*i + 10. Solve z*o + i + 2 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -139a + -1496a?\nAnswer: -16037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5292*k. Let s(m) = 1901*m**2. Calculate l(s(f)).\nAnswer: 10060092*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26176989220 and -1.\nAnswer: 26176989219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*t**3 - 92*t**3 - 89*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(572\/13)*0\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 255 + -253. Let a(r) = -r + 2. Let c(m) = -m + 3. Let s = 7 + -12. Let n(f) = s*c(f) + 7*a(f). Determine n(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16 + -12 - 8 - 2*-3. Suppose 7 = 2*q - 1. Suppose -h = 0, h + 0*h + 8 = -q*d. Put -5, o, d, 6 in decreasing order.\nAnswer: 6, o, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -3. Let c(y) = -18*y - 1. Let o(z) = z. Let u(j) = -j + 19. Let k be u(14). Let w(r) = k*o(r) + c(r). Give w(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302 - 30?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/8)\/((-1)\/28). Let r = -9 - h. Solve -2*q = -r*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*h**2 - 16*h + 11*h + h + 4*h as l*h**2 + g + u*h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-32 - (5 + -26)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -1)\/(10\/280). Let i = -21 - f. Let z be 8\/(115\/i + -3). What is the highest common divisor of z and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 2*b + 19. Let j be t(0). Calculate the highest common factor of 95 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = h - 5*d, 3*h + 12 = -4*d - 44. Let n be (-42)\/10 - 4\/h. What is the remainder when 49 is divided by (3 + (-13)\/n)*4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0, -1, 0.05, -6, -0.098 in increasing order.\nAnswer: -6, -1, -0.098, 0, 0.05, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556489122.\nAnswer: 2, 3, 7, 31, 277, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 1. Let m(z) = -50*z - 40. Suppose -183 = 3*l - 39*l - 25*l. Determine l*m(v) + 120*j(v).\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12128 divided by -29\nAnswer: -12128\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 4. Let b be x(3). Suppose 8 = 3*g - b. Suppose -35 = -2*c - g*o, 3*o - 48 = 2*c - 5*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + u**2. Let p(w) = -3*w**3 + 2*w**2. Let i(s) = 5*d(s) - 3*p(s). Let b be i(1). Factor 14 - 2*o + 5*o + 17*o + 15*o**b + 26 - 50*o**2.\nAnswer: 5*(o - 2)**2*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c + 4. Let v(z) = z**2 - z + 1. Let j(o) = -3*v(o) - x(o). Let y(t) = 4*t**2 + 7*t + 10. Determine 7*j(h) + 5*y(h).\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -263, -697, -1333?\nAnswer: -2171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 <= -6\/857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/5, 36, -2\/11, 2\/19 in increasing order.\nAnswer: -1\/5, -2\/11, 2\/19, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + (1 - 1) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 2 = 30. Suppose 0 = -g*s + 140 + 168. What is the smallest common multiple of 7 and s?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let n = o + 4. Suppose -3*m + 17 = z, 0 = -m + n*m + 15. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27303, 54171, 81039?\nAnswer: 107907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4752757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37006*j**2*x**2 + 65*j**2*x + j**2 + j*x + 18 wrt x?\nAnswer: 74012*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 873*v - 111*v + 1 + 262*v to x + i*v and give i.\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 bigger than 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 313093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u**(-2\/7)*u*u)\/u)**(-11)*u**(-4\/5)*u**(-4\/3))\/((u\/(u*u**(-2\/5)))**(3\/4)\/(u*u**(-8)*((u*u\/u**(1\/2)*u)\/u)\/u)) assuming u is positive.\nAnswer: u**(-2918\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4049 = -21*f + 15515. Solve 0 = 12*n + 79*n + f for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1033 or 9284\/9?\nAnswer: 9284\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/((12\/(-2300))\/((24\/5)\/4))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41.1 - 41. Let i(b) = -4*b**2 - b - b**2 - 23 + b**3 + 30. Let k be i(5). What is the closest to w in -3, -3\/7, k?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 20*r**2 - 9*r - 30. Let z be i(17). Let n be -2 + ((-6)\/(-40))\/(54\/z). Put n, 0.5, 20 in descending order.\nAnswer: 20, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33390233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 4312*g**6\/75 - 9807*g**5\/25 + 976*g**4\/3 - 392*g**3\/5 - 32*g**2\/5 - 2058*g - 2. Determine a so that i(a) = 0.\nAnswer: -1\/44, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56975929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/((-14)\/(-36)))\/((-54)\/936). Let w = 324 - i. Solve 0 = w*t - 15*t - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163, 158, 151, 142, 131, 118?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/282 - 88\/705. Which is the second smallest value? (a) s (b) 0.061 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**2\/2 - 20. Let n(m) = -3*m**3 - 3*m. Give 3*c(l) + n(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94823599, -94823600, -94823603, -94823608, -94823615?\nAnswer: -94823624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1539080000 rounded to the nearest one million?\nAnswer: 1539000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4*p + 120 = -15*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23196 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 9:13 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -0.5, -56, -2\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 818 divided by 2\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = o, 3*v = -4*o + 47 - 3. Let f be v\/(-12) - (-32998)\/(-3). Round f to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12838 by 131.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*w = -3*v - 170*w - 16, -4*w = 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 2. Let o(i) = 1. Let m(n) = 2*k(n) - 4*o(n). Let c(u) = 6*u**2. Determine m(c(q)).\nAnswer: -72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0 + 0 - 3*k + 5*k - 4*k + (3*k - 3*k + k)*(-2 - 5 + 2))*(3*k**4 + 21*k**4 - 84*k**4).\nAnswer: 540*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 300\/(-51) + 4\/(-34). Suppose -5*x + 4*b = -100, 2*x - 5*b - 24 = 16. Let t = x + j. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13700, 27408, 41116, 54824, 68532, 82240?\nAnswer: 95948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -546124 (base 7) to base 6\nAnswer: -2015204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 9:43 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 243301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 67, 4, -14, 5 in decreasing order.\nAnswer: 67, 5, 4, -14, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-142)\/(-1420))\/((-3)\/510)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2594199024.\nAnswer: 2, 3, 199, 90529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (100 - (15 + 13)) + -11?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*o - 67. Let k = -29 - o. What is f in 1\/5*f**k + 0 - 1\/5*f = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8465 or 8471?\nAnswer: 8471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**8\/20160 - u**7\/2520 + u**6\/180 - 3*u**5\/20 + u**4\/12 + 2*u**2 + 7. Let g(o) be the third derivative of y(o). Give g(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -56, -1, 2504?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 94603749 divided by 65199\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -29*w**2 - 22*w - 54. Determine o(-4).\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + 0 + 0)*(-2*b + 3 - 3) + (-2*b**3 + 0*b**3 + 0*b**3)*(-5*b**2 + 5*b**2 - 2*b**2) + 1 - 2*b**5 - 1.\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**5\/90 - o**4\/18 - o**3\/9 + 4*o**2 + 3. Let s(z) be the second derivative of j(z). Solve s(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -469, -913, -1347, -1783, -2233, -2709?\n\"Answer: -2*u**3 + 17*u**2 - 481*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5*r + 30 + 10, 0 = -5*r - 20. Solve 3*c = -2*x - 0 + t, 5*x = -3*c - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209755474.\nAnswer: 2, 104877737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 157664 and 744224?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*k, -5*b + 3129 + 16527 = -4*k. Calculate the highest common factor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 + 7694*q\/9 - 34252540\/3.\nAnswer: 2*(q - 5498)*(q + 9345)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-3)*(20\/20)\/(20\/(-55)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2413740*b**2*h**3 + 8*b**2*h**2 - 8386348*h wrt h.\nAnswer: -14482440*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1733522 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -3*i - 55 + 30, -2*i = -x + 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 27*k - 22. Let a(h) = 9*h - 8. Let x(p) = -8*a(p) + 3*l(p). What is x(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**3 + 2*w**2 - 1. Let o = 45 + -15. Suppose v = -2*v + o. Calculate the remainder when v is divided by y(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 91060.19 millennia?\nAnswer: 91060190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b**2 + 4 + 1 - 31*b**2.\nAnswer: -3*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:07 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3.6. Let w = j + 0.6. Let y(r) = r**3 - 4*r**2 - r + 9. Let h be y(2). Which is the third smallest value? (a) w (b) h (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5201563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10528754727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -117467*w - 195427 wrt w?\nAnswer: -117467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79544 is divided by 5574?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*3\/198*3\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*11\/22*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -122222212020 (base 3) to base 7\nAnswer: -3003426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 49*s**4 - 6*s - 328. Let u(o) = -98*o**4 - 2*o**3 + 10*o + 655. Let x(v) = 3*u(v) + 5*z(v). What is the derivative of x(f) wrt f?\nAnswer: -196*f**3 - 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 629?\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 599072 divided by 299536?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, 9, 27, 47, 69?\n\"Answer: q**2 + 13*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 8*y - 790, 5*y - 247 = -3*g + 917. Calculate the remainder when g is divided by 132.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/17)\/(-3)*(1435\/(-63) + 23)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -13. Suppose 2*n = -50 - 10. Let h be -5 - 3*n\/18. Solve 15 = f*j - h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, w: 1, h: 1, n: 1}. Give prob of sequence np.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-5))\/(8\/20)*((-1302)\/(-31))\/(-21)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - -0.3. Let m be (1\/((-4)\/(-6)))\/(((-310023)\/(-532))\/(-259)). What is the nearest to -2\/7 in m, b, -17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**6\/120 - q**5\/20 + q**4\/6 + q**3\/3 + 6*q**2. Let c be s(-4). Suppose -c*r + 3*r - 59 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (238\/170)\/((-3)\/(-3*5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6*k**3 - 2*k**2 + k - 8. Let o(x) be the first derivative of -7*x**4\/4 - x**3 + x**2\/2 - 9*x - 5. Let t(d) = -6*f(d) + 5*o(d). Determine t(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 30*b**2 + 29*b - 2. Let p be d(-29). Let i(k) = 3*k**3 + 2*k**2 - 2*k - 2. Give i(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4325414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -2*t + 12, 3*t + 4*p + 31 = 49 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 4*p - 12. Let g = 49 - 3. Suppose 5*s - 2*s = p*d + g, 0 = -5*s + 3*d + 62. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 4. Suppose -10 = -2*o - d. Solve -o*y - 13 = 3*m, 4*m + m = 3*y + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 2.888295.\nAnswer: 8.664885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2. Let a be 4\/14 - (-28)\/(-98). Let o(d) be the second derivative of a*d**2 - 1\/6*d**3 + 2*d + 0. Determine x(o(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*v + 42, 42*v - 2*b = 38*v + 62. Solve 55 = 38*a + v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.6 + 24. Let k = b - -4. Sort k, -0.4, -4.\nAnswer: -4, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 24, 7, 123 in descending order.\nAnswer: 123, 24, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (2 - 9 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*s - 15, -3*r + 2*s = -r - 6. Suppose 0 = -g + 5, -r*z + 14 = -4*z + 2*g. Suppose 2\/15*y + 4\/15 - 2\/15*y**z = 0. Calculate y.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 625.4 - 618.1. Which is the second biggest value? (a) 3 (b) s (c) 0 (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209771 is divided by 69916.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 0 + 1\/12*u**4 + 5\/2*u**3 + 0*u + 1\/120*u**6 - 5*u**2 - 1\/120*u**5. Let i(k) be the first derivative of y(k). What is i(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 122 = -178. Let a = -658\/11 - c. Find the common denominator of a and 29\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-10)*-8 + 5. Suppose j*f - 30 - 78 = 0. Solve -f = -2*u - 4*r, u - 5*r = -2*u - 37 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1118792190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a - 31 - 7*a**3 + 25 + 8*a**4 + a**2 + 4 to the form g*a + p*a**2 + z*a**4 + n*a**3 + k and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -184b6 (base 14) to base 7\nAnswer: -343516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49500408 to the nearest integer?\nAnswer: 7036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -666207964 divided by 4?\nAnswer: -166551991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -1 - (-48 - -12). Let a(r) = 36*r**3 - 7*r**2 - m*r**3 + 8*r**2 - 1 + 2*r. Give a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 5*g. Let s be y(5). Let q = -275 + 184. Let u = q - -89. Sort -19, s, u in decreasing order.\nAnswer: s, u, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 153410*r**2 - 2*r + 154406*r**2.\nAnswer: 996*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -40, j + 450 = 4*j - 3*c. Suppose 4*s - 104 = 3*l, 3*l + 5*s + 87 = -l. Let n = j - l. List the prime factors of n.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454006.\nAnswer: 2, 7, 32429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120736867 is divided by 345?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 295\/8, 3, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) - (-4 + (1 + sqrt(162) + sqrt(162))**2) - (-2 + sqrt(162))**2*-6.\nAnswer: -243*sqrt(2) + 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1991358.5 to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/84 + (-71502)\/2856 - -78?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 14. Solve 5 = -2*w + m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -183\nAnswer: -19\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j + 5. Let z be c(0). Let k be -5 - (4\/10)\/(4\/(-20)). Sort -2, z, k, -4 in ascending order.\nAnswer: -4, k, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*f - m, -5*f + 3*f = -3*m - 9. Solve n - 7 = -f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 4 = -11*s, 13 = -3*y + 4*s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37105150 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrrwrgrrwrrwugrwlw. Give prob of picking 1 l and 1 u.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410507 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 k, and 1 e when four letters picked without replacement from {x: 1, e: 1, k: 3, v: 4, n: 1, c: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 6:32 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -606*r**4 - r - 139?\nAnswer: -7272*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*f - 151 = 26*f + 3*k, -3*f = -2*k - 214. Calculate the greatest common factor of f and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 a when four letters picked without replacement from {n: 5, a: 8}?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 203096025.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.85907 meters to nanometers.\nAnswer: 13859070000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 - 7*r**3\/2 + 3*r**2\/2.\nAnswer: r**2*(r - 3)*(2*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 48*w = 0. Suppose -2*g + 5*j = -30, 0*g - 5*g + 48 = j. Solve w = -i + 6*i - g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u - 2*u)*(-1 - 2 + 4)*(-500 + 500 + 31*u).\nAnswer: -62*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aflf when four letters picked without replacement from {t: 2, o: 4, g: 3, l: 3, f: 4, a: 1}.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4034 - -5930. Is 79 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i + 3*i + i)*(1 + 4 - 3)*(-3 + 2 - 1).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5132383 is divided by 765?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**4\/6 + 2*l**3\/3 + l**2 - 4*l. Suppose 6*v + 16 = -2*v. Let a be c(v). Solve 2 + 2 = -a*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(4))\/(sqrt(16)\/sqrt(72)).\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sna when three letters picked without replacement from {r: 1, s: 1, k: 1, n: 1, a: 1, l: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(140)*3)\/sqrt(5)*-5 + -4)**2 + 1.\nAnswer: 60*sqrt(7) + 6302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(7\/6))\/(((h**(8\/11)\/h)\/h)\/h*h))**(-1\/50) assuming h is positive.\nAnswer: h**(-227\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - o = -394, -5*v + 0*o = -5*o - 690. Calculate the highest common divisor of v and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/15)\/(2\/(-120)). Suppose -x = -n - n. Suppose 4*o - 9 = 5*o + 3*q, -4*o + n = -4*q. Are 0 and o non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-4 - -1 - (-11 - -36 - 8)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2880264 is divided by 301?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -8*w**2 - 3*w + 1\/2*w**3 + 1\/6*w**4 + 0. Let f be y(-5). Are f and 18 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b = -18*b - 55 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r - 179. Give j(-16).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 1:23 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*c + 126*c = -60, -10 = 12*n + 2*n + 3*c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-9)*k)*k)\/k)**(-21\/4)*k\/k**(-2\/21)*k**(3\/8) assuming k is positive.\nAnswer: k**(-6809\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - 10) + 27 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -165*q**2 + 195*q**2 - 78*q**4 - 131*q**2 wrt q.\nAnswer: -1872*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2011, -1987, -1935, -1843, -1699, -1491, -1207, -835?\n\"Answer: 2*u**3 + 2*u**2 + 4*u - 2019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -767, -8581, -29759, -70979, -138919?\nAnswer: -240257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37097211449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**(-13)))\/(n**(-2)*n))\/(n**(2\/11)\/n*n\/n**(2\/19)) assuming n is positive.\nAnswer: n**(3119\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*o**3 + 3385*o**2 - 19270*o + 1520.\nAnswer: -5*(o - 19)*(o - 8)*(25*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, a: 1, w: 16}. Give prob of sequence wwya.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((200\/(-18))\/(-10))\/(53\/(1590\/(-40))).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7172*b + 3458*b + 3716*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 9:56 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcp when three letters picked without replacement from {y: 1, c: 3, q: 6, n: 5, k: 1, p: 4}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 8*c**2 - 297*c + 3042. What is r(8)?\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/118 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4*o**2 - 4 - 2*o**2)*(-59 + 38 + 38) + 8*o**2 + 7*o**2 - 5*o**2 in the form x + d*o**2 + t*o and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(8\/(-16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 12837499.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37670, -37686, -37704, -37724, -37746, -37770?\nAnswer: -37796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 5*o**2 + 5*o + 9. Let j be z(6). Suppose 2*q = 2*f + 12, -j*f - 8 = -2*q + q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21269*p**6 + 11604*p**2 wrt p.\nAnswer: 2552280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2, -26, -96, -236, -470, -822?\n\"Answer: -4*h**3 + h**2 + h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1511 divide 20152207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 2*o**3\/3 + 30*o**2 + 63*o - 31. Let s be m(-29). Solve s = j + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061 - 13497753573?\nAnswer: -13497753573.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(152)\/sqrt(8) - 4*sqrt(76).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 + 156. Suppose -b + 45 = -2*z, 2*z - n = -2*b - z. Calculate the remainder when b is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*i - 19869 - 98857 = 0. Calculate the greatest common factor of i and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*p = 38*p - 260*p + 7266 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21746 (base 10) to base 8\nAnswer: 52362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(-2*sqrt(11)))**2 + 1 + sqrt(1700) + (sqrt(68) - (sqrt(68) - 2*sqrt(68)*6))\/(sqrt(768)\/sqrt(12)).\nAnswer: 21\/4 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -26*(-3 + 1\/(-2)). Calculate the greatest common divisor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 74015645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from piipp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/3)*g**(-2\/3)*(g*g*g\/(g\/(((g*g**(-1\/4))\/g)\/g)*g*g))\/g*g**4*g assuming g is positive.\nAnswer: g**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 11*k + 20. Determine f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 680638 - -5607.81.\nAnswer: 686245.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16731.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s - 53 - 24*s + 17*s + 147 as i + m*s and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15592301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 7 - 6 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -173, 3, 5 in descending order.\nAnswer: 5, 3, -0.2, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 14. Let s(v) = 2*v. Let x be s(i). Solve a + 2 + 3 = x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r - 7*r - 2 + 6*r. Let w = 14 + -14. Suppose w = -2*q - q - 6. Let n(b) = -12*b + 9. Give q*n(s) - 9*g(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 13. Let k be x(4). Let d = -7 + k. Solve 0 = d*y + 14 - 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*v, -n - 4*v + 6*v + 4 = 0. Suppose n = -0*b + b + 5*b. Let k = -2 + 0. Put 2, b, k, 1 in ascending order.\nAnswer: k, b, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1892, -1899, -1454, -335, 1680, 4813, 9286, 15321?\nAnswer: 23140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -489 + 515. Solve -t - 23 = -p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 2032825*y - 191129730.\nAnswer: 5*(y - 94)*(y + 406659)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2 - 9*a + 6. Let o = -99 - -144. Suppose -o = -7*v + 2*v. Is d(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1112.8 plus -0.0377?\nAnswer: -1112.8377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 0*b + 16 + 3 - b + 0. Let w be k(12). Solve -2*q + 1 = -w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*f - 227*f = 5. What is the remainder when 844 is divided by (f*1)\/(21\/(-378))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-22)*c\/(c*c**0\/c) assuming c is positive.\nAnswer: c**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -58) + (97 - 88)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*m - 4*m + 2 = 0, -3*a = m - 4. What is the remainder when 30 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146258037 to the nearest integer?\nAnswer: 12094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 4602510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 28794369*z. Let v(b) = b. Give v(f(j)).\nAnswer: 28794369*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/5 - -14) + -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 3130?\nAnswer: 3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - 5 + 5)*(-14*k - k + k)*(7 + 21 - 8) to t*k + n + j*k**2 and give j.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 8. Let t(m) = 317*m + 3*m**2 - 317*m. Calculate j(t(q)).\nAnswer: -9*q**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -8*g + 4*g + 29672, -74192 = -10*g - b. What is the highest common divisor of g and 636?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26504*c + 78327*c - 26507*c - 25330*c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, b: 3, l: 3, j: 2, o: 2, v: 1}. What is prob of sequence gglj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 at most as big as -11309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 119561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 2. Let x(w) = -11*w - 2. Let f(q) = -x(q) - 4*z(q). Let d be f(3). Let l be 44\/d + 1462\/10. Round l to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0692208 litres in millilitres?\nAnswer: 69.2208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75379*t**4 + 6*t**3 - 3682067*t**2 wrt t.\nAnswer: 1809096*t + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(-4\/27) assuming p is positive.\nAnswer: p**(-4\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4 + 64*o**3 - 178*o**2 - 1464*o - 1224 = 0. Calculate o.\nAnswer: -34, -3, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -643 divided by -65.\nAnswer: 643\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i + 17 = 5*f, -3*f + 4*i - 9 = 0. Suppose 0 = -q - f + 6. Solve z + 3 = r, -3*z - q*r + 15 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*o - 6*l + 17, 2*o - 3*l - 15 = 0. Let p(x) = x**3 - 9*x**2 + 10*x + 20. Does 10 divide p(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zlllz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/4213554 and -173\/1831980.\nAnswer: 42135540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 28*w + 60. Let p be v(-2). Suppose p*j + y = 129, -2*j - 8*y + 3*y = -51. Calculate the highest common factor of j and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + o**2 + o - 66. Let r be x(0). Let y = 121 + r. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9197 in 0.2, -3, -5, 3\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 27984.32 to the nearest 100.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.6 > -1695.975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 27*g + 7. Calculate c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234842\/232 - (-1)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 293 = -25*k + 20*k, -217 = -4*k - 5*z. Let i = k + -68. Let m(x) = x + 12. Calculate m(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -112275728*n + 79825546.\nAnswer: -112275728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 + (-136)\/28)\/((-1)\/7). Suppose 4*w + 2*w - t = 0. Let b = 122 - 79. Calculate the remainder when b is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 46*v - 1421. Give q(31).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 170225587?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -10, -389, -3, -20?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 150 (base 9) to base 16\nAnswer: 7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -146\/69, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from veevedvedededeev. Give prob of picking 1 e and 3 v.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5828, 18469, 31108, 43745, 56380, 69013?\n\"Answer: -o**2 + 12644*o - 6815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**2 + 3*n - 7*n + 0*n**2)*(9 - 11 - 13) + (-1 + n + 1)*(n - 3*n + 0*n) in the form r*n**2 + i*n + h and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djbkdlt. What is prob of picking 1 d and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbl when three letters picked without replacement from assbbttltldbltlblbt?\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 - -1001021?\nAnswer: 1002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l. Let i(j) = -6*j**3 + 3*j**2 + 3*j + 1. Let y be i(-1). Suppose 0 = y*u - 4*u - 12. Suppose 3 = -x - 5*f + 5, -2*x - u*f + 4 = 0. What is r(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 4 (b) -1\/18 (c) -0.3 (d) -0.2 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 - -10)\/(6\/(-51)). Which is the third smallest value? (a) -0.1 (b) 0.2 (c) q (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 24 = 12*x. Let f(i) = i - 19. Calculate f(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3975312 and 22?\nAnswer: 3975312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 0*o**3 - 11*o + 1 + 4*o**3 + 10*o - 3*o**3. Let d(p) = -15*p**3 + 12*p - 12. What is -d(x) - 12*m(x)?\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1888 divided by -6\nAnswer: -944\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 0 + -6 + 8. Let s be (-12)\/(-4)*n\/(-3). List the prime factors of 58 + s + -2 + 1.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/75*-5*(-10)\/(-4). Solve -s*p = -12*p - 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 20*h**3 + 51*h**2 + 1530*h - 5400.\nAnswer: -(h - 6)*(h - 4)*(h + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-1)\/(-5))\/(52\/(-1235))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3865968, 3865912, 3865856, 3865800, 3865744, 3865688?\n\"Answer: -56*y + 3866024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/36 and -37\/8360?\nAnswer: 75240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-5)\/(3 + 2)). Solve 6 = -2*y - x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 68*d**2 + 74*d - 9. Let n(a) = -17*a**2 - 19*a + 2. Determine -4*j(w) - 17*n(w).\nAnswer: 17*w**2 + 27*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -26*o - 5. Suppose -4*d = g - 16, 4*d - 76*g - 40 = -71*g. Let t(v) = -403*v - 78. Determine d*t(b) - 78*h(b).\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 172570?\nAnswer: 1035420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/5576 and -79\/288.\nAnswer: 200736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-4)*-1 - 0. Let p be b\/10*10820\/140. Let m = 15\/14 - p. Calculate the common denominator of m and -8\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.6701291nm?\nAnswer: 0.0006701291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - h + 8. Let d(v) = 2*v - 4 + 2 - 5 - 1. Let k be d(6). Solve k*n - h = 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 693399*t**2 + 5 - 693401*t**2 - 5.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -7, -83, -21 in increasing order.\nAnswer: -83, -21, -7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-2)\/8)\/(13\/(-65)*-5)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 30*w**2 + 2*w + 3. Let x be j(-1). Let i(k) = k**2 + 4*k + 1. Let u be i(-4). Let n = x - u. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -781 - -781.023964. Round j to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*w + 3*w - 5*w)*(5*w - 2*w - 5*w) + (2*w - 2 + 2)*(306 - 306 - 56*w))*(w + 2 - 2).\nAnswer: -114*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/5)*p*p**(-2)*p**(-3)*p\/(p*p*p**(3\/4)))\/((p\/((p*p**5*p)\/p)*p*p*p**(4\/3))\/((p\/(p\/(p*p**0*p)))\/(p**(-2)*p))) assuming p is positive.\nAnswer: p**(-17\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -4*v + 5*l, 113*l + 40 = -119*l + 236*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.88+-0.7\nAnswer: 1.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 68. Solve -1 = a + z*a + d, -11 = -2*a - 3*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153 + 156 - 109*g + 237 - 705 + 158.\nAnswer: -109*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 210933.7 + -223461. What is q rounded to the nearest ten?\nAnswer: -12530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 3*u**2 + 3*u - 5. Calculate the remainder when 82 is divided by y(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 11*w**2 - 62*w. What is the remainder when h(6) is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33945212 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*83485.\nAnswer: 417425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7. Let u(m) = m. Let i(r) = -2*u(r) + x(r). Let v be i(5). Which is the third biggest value? (a) -4 (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 0*j**2 - 3*j**2 + 8*j**2 + 5*j**2. Let i(k) be the second derivative of k**4\/12 - 756*k. Calculate i(o(x)).\nAnswer: 100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -54, -2\/3483, -0.1?\nAnswer: -2\/3483","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (4 - 1 - -4) + -30 + 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*c. Suppose -x + c*x = 0. Let s = 0 + -0.1. What is the closest to s in x, 0.2, -5\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11*y**2 + 10*y + 5. Let p be f(-7). Let r = p + 393. Let a = r - -304. Calculate the remainder when a is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28807 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*y + 21 = 0, -5*o - 4*y - 35 = 5. What is the nearest to -0.1 in o, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**5 - 17*k**4 - 85*k**3 - 159*k**2 - 90*k = 0.\nAnswer: -10, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -135*k - 3671. Let s be w(-62). Calculate the highest common divisor of s and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-10)*6)\/((-3)\/(-26)) and 8\/(-4) - 76\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*c**3 + 5443*c**2 - 4550*c - 104.\nAnswer: 66*c + 10886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-342)\/(-36) + -5)*20\/(-2). Let t be (-63)\/i*4\/7. Let t*c + 6\/5*c**3 + 0 - 2*c**2 + 2\/5*c**4 - 2\/5*c**5 = 0. Calculate c.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1098 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, n: 4, z: 10, e: 1}. What is prob of picking 1 e and 2 z?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -152140? (a) -1\/2 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 54, -1, 20 in decreasing order.\nAnswer: 54, 20, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 + -10)*(1 + 0). Suppose w + 4*w - 18 = 4*g, -5*w + c*g = -21. Suppose w*a = 2*a - 58400. What is a rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124 + -122. Let k be z\/(-10)*-5 - -7. Suppose -559 = -k*r + 49. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 - y - 3. Let a be ((-8658)\/(-195) + -45)*15\/(-9). Let d(r) = -1 - 3 + 3. What is a*g(n) - 4*d(n)?\nAnswer: 3*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 6:02 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -304143268?\nAnswer: 304143272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5 - 69*q**4 + 1558*q**3 - 10956*q**2 - 12584*q = 0. Calculate q.\nAnswer: -1, 0, 22, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -23. Suppose -10387 = k*i + 3037. Let v = 646 + i. Round v to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1042576*d**3 - 10*d**2 + 4*d + 15. Is v(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -927145.02 to the nearest 100.\nAnswer: -927100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*f + 212. Suppose 4*r - 252 = -4*z, 4*r = 3*r + 5*z + f. Let u = 64 - r. Solve -8*w = -u*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-35)*(-65)\/(-2))\/(-20 - -21).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.31 - -0.51. Which is the closest to m? (a) 4 (b) -2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 933456.\nAnswer: 2, 3, 19447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d - 70013*d**2 - d + 69878*d**2 as x*d + q*d**2 + z and give q.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -88*d - 1948. Determine a(-22).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4042453, -8084910, -12127379, -16169866, -20212377, -24254918, -28297495, -32340114?\n\"Answer: -s**3 - 4042450*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9500, -9510, -9520, -9530?\nAnswer: -9540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7867245?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72445266 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 16614 - 42690 = 0. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8584 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*a*c**3 + 2*a*c + 414378*a + 9*c**3 + 2868*c**2 + 9*c + 3 wrt a.\nAnswer: 6*c**3 + 2*c + 414378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 31*z + 111. Calculate r(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2602, -2672, -2742?\n\"Answer: -70*i - 2532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afyf when four letters picked without replacement from {f: 6, n: 8, y: 2, a: 3}.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b**2\/7 - 319659*b\/7 - 7611 = 0.\nAnswer: -1\/6, 17759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (3\/(-1))\/1. Suppose q*l - 263 - 133 = 0. Let a = l - 93. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 2*q + 13. Let s be u(-6). Is 14\/s - 3*1964\/(-30) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Let f(c) = 2*c + 3. Let x(o) = -o + 1. Give f(l) - x(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - p = -0 - 12, -5*p + 3 = t. Solve o + 4*c = -3*o + 4, 2*c = -o - t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + 3*h)*(1 + 1 + 1)*(-1 - 5 + 1).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027463 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7387*m**2 - 1113*m**2 + 602*m**2 + 5047*m**2.\nAnswer: 11923*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 182792.7 + -175224. What is g rounded to the nearest one hundred?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6 - 68\/51. Suppose 0 = 2*t - 3 - 1. Let u(f) = -1 + f + t + 0*f. Calculate u(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/6156 and 125\/8354718.\nAnswer: 50128308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 954007?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4047288286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 - 98 = 35*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/22 and 31\/14784.\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*n**5 - 41771*n**3 + 1835990*n**2 - 2*n + 6 wrt n?\nAnswer: 1260*n**2 - 250626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 5)*(4278 - 4277)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + (4*sqrt(252)*2 - sqrt(252)) + sqrt(252) + (sqrt(252) - 3*sqrt(252)*2))\/(-4*sqrt(99)\/sqrt(176)) + -2)**2.\nAnswer: 32*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6.1 * 36.505\nAnswer: 222.6805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32731701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 4225 + 4237 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 890968 - 58?\nAnswer: 890910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -296 - -701?\nAnswer: 45a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = -2*m. Let o = -7 + 12. Suppose -o*d - 28 = -4*w, 0 = -w - d + 3*d + 10. Sort w, 5, m.\nAnswer: m, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151359500 rounded to the nearest 1000000?\nAnswer: 151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 273*l**2 - 66960*l + 37363680. Let r(w) = 81*w**2 - 20088*w + 11209104. Let x(i) = 8*k(i) - 27*r(i). Let x(h) = 0. Calculate h.\nAnswer: 1116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*s - 26*s - 25*s + 2 = 5*l, 8 = -4*l for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4545857 or 4545855?\nAnswer: 4545855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x**2 + 0*x - x + x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 3\/7, -0.07, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - l - 1 + (-9*l + 0 + 0)*(42 + 27 - 13) as y*l + m and give y.\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17104 is divided by 2228.\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2645, -2647, -2649, -2651?\n\"Answer: -2*s - 2643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -21*j + 22*j + 5, -2*j - 2 = -2*r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -274 - -115. Let j = 304 + z. Let o = 255 - j. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 3*j + 5, t = -3*j - 561 + 551 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -956 divided by 239\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2673, 4268, 5861, 7452, 9041, 10628, 12213?\nAnswer: 13796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12131200 + -201321?\nAnswer: -12333121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 23428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 8235153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -3 (c) 2\/15 (d) -814\/121329\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*q + 7 = 0, 3*q + 16 = -b + q. Let j = -6 - b. Suppose j = -3*m + 168 + 405. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 + -59. Suppose 4*h = 4*r + 32, -5*h + q = -0*r - 2*r. Solve 3*g + 0*v + 11 = -v, 3*v = 5*g + h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 0*h + 405. Suppose 2*q + 12 = 6*q. Suppose 0 = 5*k + 20, -k + 6*k + 47 = q*s. Calculate the highest common divisor of h and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) 1\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 3*p**4\/4 - 7*p**2 + 21. What is the second derivative of d(r) wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11211 (base 3) in base 13?\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.14 (b) 1\/2 (c) 0.2 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 8:03 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 94812606 divided by -1755789\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31522.296 - -31686. Let v = u + 3.996. Round v to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1550 + 3341. Suppose 5*w - 5*m - s = 1564, 0 = 5*w - 2*m - 3361. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5238 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: 16335 - -0.5\nAnswer: 16335.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**2 - 12*y + 210. Let f(o) = -18*o**2 - 35*o + 625. What is 7*c(x) - 2*f(x)?\nAnswer: x**2 - 14*x + 220","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d*u**5 + 3*d*u**4 + 61*d*u**3 - 4*d*u**2 - 11*d*u + 4*d wrt u.\nAnswer: -120*d*u**2 + 72*d*u + 366*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 - -159. Let p = v + -86.6. Let g = p - -9. Which is the third smallest value? (a) g (b) -2 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**6\/120 + 7*u**5\/60 - 5*u**4\/12 + 7*u**3\/3 - 4*u**2. Calculate the remainder when 24 is divided by a(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - -9)*1*-3. Let r = g + 3. Which is the closest to 0? (a) r (b) -4 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4068 divided by -2.\nAnswer: -2034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000055811854 rounded to seven dps?\nAnswer: 0.0000558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/18648 and -43\/2772.\nAnswer: 205128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y. Suppose q = -y*q. What is the second biggest value in -0.5, 3\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(sqrt(325)*1 + sqrt(325)))**2.\nAnswer: -3900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1253333 (base 6) to base 16\nAnswer: 10f59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5 = -1. Suppose 3*s = s - 2*d, 0 = -2*d. Suppose 6*v - 4*v = -3*q - 13, -k*q - 4*v - 6 = s. Sort 0, -2, q in descending order.\nAnswer: 0, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 161 - 81. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*z + 312 = 0, -2*z + 141 = u + 2*z. Find the second derivative of 4*m**5 + 41*m + m**4 + 128*m - 4*m + u*m wrt m.\nAnswer: 80*m**3 + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14884145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m + 8*m + 61*m.\nAnswer: 47*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 15*i + 20. Let t be g(-16). Solve t*q = -0*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12763285 to the power of 1\/2, to the nearest integer?\nAnswer: 3573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/18 and 87\/2336114.\nAnswer: 21025026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*9\/36 + 6\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from iiiviiviii?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**4 + 12335*n**3 + 489980*n**2 - 3284660*n + 4510800 = 0. What is n?\nAnswer: -45, 2, 4, 2506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 24*l**2 - 9*l**2 + 9*l**2 + 9*l**2.\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -3*p, -4*r = 4*p - 3*p + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1671*w**5 + 19*w**3 + 9*w**2 + 5300*w?\nAnswer: 100260*w**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 1247737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.42 times -0.62?\nAnswer: -1.5004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 greater than -107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -8*v + 4*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 3*w**2\/2 + 72*w + 131. What is the remainder when 193 is divided by j(-7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*j - 94*j + 48*j + 12*j**3.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -409 (b) 2.2 (c) 1\/2 (d) 4\/7 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 4*n - 4*n)*((-n + 4*n - 5*n)*(n + 2*n - 2*n) - 6*n**2 + 29*n**2 - 16*n**2).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591*n + 1703 - 262 + 6833 = 0 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -265160?\nAnswer: -265162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 215 + -214.5. Sort l, -0.3, 0 in ascending order.\nAnswer: -0.3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/14 and -88\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 + 240 = 75*c - 580. Let l = -65 + 110. Calculate the lowest common multiple of c and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 8 = 4*x, 89*n - x = 93*n - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7323*a - 29699. Determine h(-4).\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/7 - 0 - 12\/28. Suppose -47 = -5*a + 3*p - z*p, -5*p + 55 = 4*a. Put 2, a, 1, -1 in ascending order.\nAnswer: -1, 1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 6. Let u(o) = -16*o - 10. Let v(r) = 7*r + 5. Let h(i) = 3*u(i) + 7*v(i). Give 3*h(a) - 2*q(a).\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v - 24. Let t be s(-6). Suppose 0 = -t*x - 5*x + 200. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 7:02 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/(-8))\/(5473\/(-5052)).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 899566.3 days?\nAnswer: 1295375472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33 + 22 - 29)*(-4*k - k + 3*k) + 0*k + 4*k - 3*k to a + b*k and give b.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -0.4\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -3)\/(-2)*-2. Suppose 2*q + 6 = -4*r, -5*r + q + 15 = 40. Let f be (-2)\/z + (-1198)\/r. What is f rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21987\/5 + -157069\/35. Let x = y - -90. What is the closest to -2\/5 in -4, 1\/10, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 21 = -1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5279264 + -5279264.7915798. Let h = u + -88.2094002. Let z = h + 89. Round z to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*g, 0 = k + 4*k + 5*g. Which is the nearest to 1? (a) k (b) -1\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, k: 3}. What is prob of picking 4 d?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r**3 - 5 + 2 - 3*r**3)*(510*r - 1365*r - 703*r) to the form k + o*r**2 + f*r + j*r**4 + p*r**3 and give f.\nAnswer: 4674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*x + 14. Suppose 4*w - 37 = 3*m, 0 = -5*w + 3*m + x*m + 40. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**8\/336 - 2*k**7\/105 - k**6\/40 + k**5\/15 + k**4\/6 + 172*k**2. Factor r(l).\nAnswer: -l*(l - 1)*(l + 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000042730309 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 10*t**2 - 5*t - 6. Let d be (4\/6)\/(0 - 8\/12). Let x be m(d). Solve 7*v + x = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**2)\/(n**(-3)\/n))**1*(n*n**7*n\/(n**7\/n))**(-15) assuming n is positive.\nAnswer: n**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13603\/23 - 591. Suppose 2*o = 8, -4*c + 5*o + 59 - 83 = 0. Is c equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2\/3, -1, -601 in decreasing order.\nAnswer: 8, -2\/3, -1, -601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.024 + 0.024. Let t = -25.26 - g. Let w = t - 0.24. Sort -3\/7, w, 1\/5 in descending order.\nAnswer: 1\/5, -3\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 14*l**2 + 14*l + 17. Let d be x(-13). Solve -4*c + 3*v - 20 = 0, -2*v + v = -d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -1)\/((-2)\/4). What is the third derivative of -g**5 - 6*g**l - 2 - 5 + 7 wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 131619089.7 seconds?\nAnswer: 217.62415625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23709 is divided by 158?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494698 divided by 4.\nAnswer: 247349\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/11, 9, 194 in decreasing order.\nAnswer: 194, 9, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*k - 85*k + 1089. Suppose -i - k = -135. Solve -i = 3*t - 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 20. Suppose -b - 3 = 3*j, -3*j + z = 4*b + 2*j. What is the first derivative of 13 - 3*d - 85*d**b + 98*d**3 + 3*d wrt d?\nAnswer: 39*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 13 = m + 6, -8 = -2*j. Suppose 0 = 2*b + 2*b. Suppose 2*o + 8 = b, 3*d + 3*o + 3 = -6. Calculate the greatest common divisor of m and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/16 and 10\/825*11*(-618)\/32?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuiu when four letters picked without replacement from {r: 4, k: 1, u: 6, i: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -58*z + 27. Give x(3).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 22.5047*-98\nAnswer: -2205.4606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 7453 = 1893. Suppose 7*b + i = 9*b. Suppose 27*q - 31*q = -b. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5540 - 130460. Round c to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 13. Let j = -54 - -83. Suppose j = f*g - 146. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 351?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82.72 + -81.72. Which is the closest to w? (a) 4 (b) -0.4 (c) 209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -4\/21*v**3 + 0*v - 11\/420*v**6 + 0 + 1\/735*v**7 + 2\/21*v**4 + 1\/70*v**5 + 1\/392*v**8 + 8*v**2. Suppose t(q) = 0. What is q?\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**5 - 124*h**4 + 3376*h**3 - 20624*h**2 + 28800*h = 0.\nAnswer: -50, 0, 2, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/5 - 158*m + 143029\/5.\nAnswer: (m - 509)*(m - 281)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 15 = -w. Let t be (6 - 9) + w*1. Solve -2*j + t*k = -2*k - 2, 3*k = 3*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + 15.8. Let s = -33.4 + g. Let d be (-2)\/(-5)*(-15)\/9. Put d, 11, s in decreasing order.\nAnswer: 11, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*r**3 - 18*r**3 + 5*r**3.\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -44042 (base 5) in base 8?\nAnswer: -5716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2189 + 846. Let o(p) = -3035 + k + 3*p**2. Let u(q) = -8*q. What is o(u(z))?\nAnswer: 192*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*u + 7, -3*u + 22 = -2*p + p. Suppose u*d = 11510 + 9586. What are the prime factors of d\/28 - 4\/(-14)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from pwpwpwzp?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m. Let x = 22 - 8. Let f(n) = 49 - x*n - 49. Give f(c(p)).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -429, -445, -485, -561, -685, -869, -1125, -1465?\nAnswer: -1901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(42 - 42 + 16*n + (0 + 3 - 2)*(-n + n + 6*n)).\nAnswer: -44*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 3)*(-3 - -4). Let i = -11 - -13. Suppose i*z + 20 = -2*z. Put 2, z, h in descending order.\nAnswer: 2, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (sqrt(85) + -4*sqrt(85)*-1)\/(sqrt(5)*2*-6))**2.\nAnswer: -4025\/72 - 25*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1753 divide 3176442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*k - 950, -k - 376 = -2*p - 3*k. Suppose -p - 157 = -b. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 34, 4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222111 + 1320?\nAnswer: 230031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 2 - 2*3\/(-2). Differentiate d + 37 - 4*d + 7*d**b + 7*d + 3*d wrt d.\nAnswer: 14*d + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -903674\nAnswer: 90367.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -4.1671.\nAnswer: -1.66684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 43?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5316*u - 1389*u - 13411*u - 1 - 5391*u - 18121*u.\nAnswer: -32996*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 767028148 - -3?\nAnswer: 767028152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvg when three letters picked without replacement from {v: 1, h: 4, m: 4, g: 1, l: 1, e: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.9 and 0.0232.\nAnswer: 4.9232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 52*r + 14*r + 5*r.\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -28*s**4 + 152*s**3 - 172*s**2 + 48*s = 0.\nAnswer: 0, 3\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 4*c - 44 = -11*j, -2*c = j - 5*c + 28 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1195088817 divided by -3.\nAnswer: 398362939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*b - 8. Suppose 23 = b*c - 1. Solve -f + c = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66659160?\nAnswer: 2, 3, 5, 47, 53, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2450) - (sqrt(2450) - (sqrt(2450) + 2*2*sqrt(2450)))))\/((sqrt(90)*-1*2)\/(sqrt(9)*2*1)).\nAnswer: -175*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23.76202 * -6.5\nAnswer: 154.45313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*m = -20. Let g = -6 - -12. Suppose -m*a + a = -g. Let c(q) = -2*q**3 + 4*q**2 - 3*q. What is c(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2632448 (base 9) in base 5?\nAnswer: 332014220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 9*l - 6. Let k = 6 + 2. Let z be d(k). Find the third derivative of 2*c**5 - 3*c**2 - c**z + 2*c**2 wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10220026 (base 8) to base 6\nAnswer: -114310250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8873, -35494, -79865, -141986, -221857, -319478, -434849?\nAnswer: -567970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*(2*(3 + sqrt(76)) - sqrt(76)))**2.\nAnswer: 2400*sqrt(19) + 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 12:34 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**2 - 6*u - 1. Let x be (-6 + 1)*(2 - 3). Calculate w(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6612, 13252, 19900, 26562, 33244, 39952, 46692?\nAnswer: 53470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*t**3 - 19600*t**2 + 78532*t - 78576 = 0. What is t?\nAnswer: -19644\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = y + 6*y. Let s = -0.0631 + -0.1369. Which is the nearest to s? (a) -12 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-15))\/(((-8)\/(-5))\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**4*m - b**3*m - 2*b**3 - b**2 - 3*m + 25 wrt b?\nAnswer: -96*b*m - 6*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2. Let z(b) = -5*b**2. Let h(f) = -f**3 + 6*f**2 - 5*f - 3. Let v be h(5). Let y(r) = v*z(r) + 8*a(r). Let d(k) = 6*k**2. What is y(d(t))?\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2495 is divided by 509.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 97\/(-19)*1 - (236 + -241)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**4\/2 + 3*w**3 + w**2\/2 - 9*w + 20. Let b be d(4). Calculate the greatest common factor of 99 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 - -2.93. What is the fourth smallest value in g, -2\/13, -3, -2\/25?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23d (base 14) to base 5.\nAnswer: 3242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 14}. What is prob of sequence pk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/7)\/(f\/(f*f\/f**(2\/19))) assuming f is positive.\nAnswer: f**(43\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 410*g*i*u**2 + g*i*u + 85276*g*i - 73*g*u**2 - 6*i*u**2 - 2*i*u + 6*u**2 wrt u?\nAnswer: 820*g*i - 146*g - 12*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhfuzee. Give prob of picking 1 u and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/2)\/(-4)*0. Suppose f = -l + 3*l. Suppose l = -4*g - 12. Put 5, g, -1 in descending order.\nAnswer: 5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9. Let x(b) = -b + 18. Let g(r) = 9*c(r) + 4*x(r). Let u be g(-3). Suppose 20 = -5*t, 184 = 3*n - n - u*t. List the prime factors of n.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 43730280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -30534627 to the nearest one million.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 13*i - 18*i + 32*i)*(-3*i + 4*i - 2*i) to t + y*i**2 + b*i and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/4)*u**(-1\/2))**(-37) assuming u is positive.\nAnswer: u**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/((1 - -1)\/(-2)). Let b = -0.09 + 0.19. Let n be 1\/(-2)*(-2)\/(-9). What is the nearest to b in n, j, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 9*d**2 - 3*d - 2. Let f = 0 + -2. Let o(j) = -6*j - 6. Let r be o(f). What is the tens digit of x(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from csc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*l + 15 = -143*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**5 - 39*r**4 + 130*r**3 - 165*r**2 + 46*r + 24 = 0.\nAnswer: -1\/4, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0668709478 rounded to three decimal places?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**5 + 7*i**3 - 7*i**3)*(-2228 - 6372 + 12820).\nAnswer: 4220*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 4*m - 4*m + (2*m + 1 - 1)*(-2 - m + 2) + 138*m**2 - 825*m**2 - 1609*m**2)*(-3*m + 6*m - m).\nAnswer: -4598*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8.5. Let f = l - 26.5. Let w = -25 - f. What is the nearest to 3\/4 in 1, 4\/3, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9060)\/30955)\/(22\/(-451)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -215, -868, -1959, -3488, -5455, -7860?\n\"Answer: -219*f**2 + 4*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16075892*n**3 + 20359757?\nAnswer: -48227676*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/((d*d**(-4)\/d*d*d)\/d)*d)\/d**(4\/5))\/(d**(1\/3))**(-1\/51))\/((d**0*d)**(2\/13)*d\/(d**8*d)*d\/((d\/d**(-5))\/d)) assuming d is positive.\nAnswer: d**(169589\/9945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 204 + 101 = -105. Which is the closest to -2\/3? (a) 0.1 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 279, 341, 399, 453?\n\"Answer: -2*h**2 + 68*h + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-2)*10\/((-550)\/77).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 32. Solve -m - 2 = v, -2*m = v - a*v + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/39*(-18)\/(-8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -2, 4, -3 in increasing order.\nAnswer: -3, -2, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 505 - 271. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20543*s**2 - 325*s - 1?\nAnswer: 41086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 3, v: 1, z: 3, s: 3, c: 2}. What is prob of sequence dcc?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*y + 13 = 308*y + 3, 0 = 4*t - 3*y - 58 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 12*f - 5. Let s be z(5). What is the greatest common factor of 22 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u + 2*u + 22 - 22. Let s(g) = g - 1. Determine 5*k(m) + 2*s(m).\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 5 + 12 - (9 - (10 + -2 - -1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -38, -2\/25, 2?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019610569 rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 7:58 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 5:54 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -889162*b - 2745609?\nAnswer: -889162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/3 + (-167)\/60 and 93\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 228*f - 224*f - 4, 16 = -4*o + 4*f. Let m = 7 - 7.1. Let p = -0.03 + -1.97. Put o, p, m in ascending order.\nAnswer: o, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28.09 * 0.2.\nAnswer: -5.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 221070 and 25?\nAnswer: 1105350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-14)\/6 - 193816\/(-21) - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/1334 and 52\/33495.\nAnswer: 1540770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 118572.\nAnswer: 11857.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74372, 74282, 74202, 74138, 74096, 74082?\nAnswer: 74102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, -13, -28, -43, -58?\n\"Answer: -15*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -814 + 813. Let n(d) = 3*d + 4. Let z(p) = p - 2. Let f(y) = -3*y + 5. Let x(k) = -3*f(k) - 8*z(k). Give v*n(l) + 5*x(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12440, -49749, -111938, -199013, -310980, -447845, -609614?\n\"Answer: -k**3 - 12434*k**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5514540 (base 6) in base 3?\nAnswer: -111221120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 176162556, 176162554, 176162552, 176162550, 176162548?\n\"Answer: -2*v + 176162558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*j = 323937 - 326261 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 8 = -3*o - x, -5*x + 37 = -3*o. Calculate the remainder when o\/(-3) - 910\/(-15) is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25709146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**2 - 9*y - 4. Let h be w(-3). Which is the third biggest value? (a) 1 (b) 0.4 (c) -15 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-7\/8))\/(b*b*b\/b**(-26\/5)))**29 assuming b is positive.\nAnswer: b**(-7337\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 400281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -7. Let h = b - -5. Find the first derivative of 32 + 5*v**2 + h*v**2 - 12 - 19 wrt v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -60\/859 (b) -36 (c) 0.4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 445 + -643. Let d = g - -198. Let k = -2 + 7. Solve d = z - k*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/8 of a microsecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.006 - -3.83.\nAnswer: 3.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4189 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Let r = 1 + -1. Let l = 6\/61 - 303\/1220. Which is smaller: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**8\/42 - w**7\/105 + 3*w**5\/10 + 14*w**2. What is the third derivative of s(l) wrt l?\nAnswer: -480*l**2 - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 107339149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18488 and 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 27892700?\nAnswer: 27892700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*y**6 + 1268*y**4 + 3*y**3 + 133*y**2 + 6*y - 1 wrt y.\nAnswer: -1080*y**3 + 30432*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Is 10 a factor of 22 - (a + -3 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w**2 - 4*w - 8. Let y(a) = -a**3 + 15*a**2 - 7*a - 16. Let u(n) = -5*k(n) + 2*y(n). What are the prime factors of u(-7)?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5552875, -5552909, -5552941, -5552971, -5552999, -5553025, -5553049?\n\"Answer: z**2 - 37*z - 5552839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x**18\/x*x)\/x)*x\/x**(4\/13))\/(x*x*x\/(x*x**(-2\/7)*x)*x)**(-7\/6))**(-1\/4) assuming x is positive.\nAnswer: x**(133\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6 = 3*l, 3*d - d - 3*l = 9. Let v be (-22)\/143 - d\/((-234)\/92). Put 3\/7, 20, v, 0 in decreasing order.\nAnswer: 20, 3\/7, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 24 = -4*g - 23, 4*n = 4*g + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-6 - (-15 - -9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4935339271 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (-4 + 0) - (-10 - 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7619 is divided by 195?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -89*c**2 + 6*c. Let z(a) = 88*a**2 - 8*a. Determine 4*h(w) + 3*z(w).\nAnswer: -92*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 7*w**2 + 8*w - 8. Let n be c(-7). Let l = n - -92. Solve 4*k + 23 + 1 = 4*x, 3*x - 5*k = l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 915 + -915. Let n(p) be the second derivative of 1\/6*p**5 - 1\/21*p**7 - 1\/9*p**6 - 2\/9*p**3 + d + 0*p**2 + 5*p + 5\/18*p**4. What is t in n(t) = 0?\nAnswer: -2, -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*b**4 - 223*b**2 - 459*b - 2?\nAnswer: 96*b**2 - 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -26.7 (c) -2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 20*i**2 - 3*i - 74. Let c be l(-20). Let b = -10 - c. Solve 0 = -5*p + b*a - 12 - 16, 5*p - 5*a = -30 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72\/11 - 177\/22. Let k = 1 - 1.6. Suppose 3*u - 7*h - 10 = -6*h, 5*u + 10 = -5*h. Which is the closest to u? (a) s (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 14. Suppose 9 = y*c - 3*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156418 and 96074?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 524\/(-1965) - (-130)\/(-75)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 9 + 2 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 10) in base 4?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -1\/4 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-28))\/((-22)\/154).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/12 + (-4756)\/16. What is the units digit of (-1 - 44)\/((i\/774)\/11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/8 and 27\/1941464.\nAnswer: 1941464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*j**4 + 2*j - 2*j + (0 - 8 + 2)*(-j**4 - j**4 + 0*j**4 - 1).\nAnswer: 25*j**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, s: 7}. What is prob of picking 1 a and 1 s?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -6391.0188 and 570152.\nAnswer: 563760.9812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by -2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 1\/(66\/(-930)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242693.\nAnswer: 11, 22063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 3812739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**4\/16 - y**3\/12 + 48. Determine k, given that a(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 + 89 + -87 - 46.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 6 - -6) + (-107 - -73).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 8:38 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1613\/10 - 473\/3. Let v = -8683 - -78221\/9. What is the common denominator of h and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2438, -4914, -7388, -9860, -12330, -14798, -17264?\n\"Answer: t**2 - 2479*t + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1890900603 to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29.8 - -30. Let n = 621 + -625. Which is the second smallest value? (a) 0.1 (b) n (c) 4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - d - 1649. Let a be r(0). Let u = a + 4356. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3666 + 6645 = 3*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + 0 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (360\/42)\/(-5)*-175 is divided by 86?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bububububbbububuuub. What is prob of sequence bu?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**2 - 78*i - 171. Let p be u(-13). Which is the nearest to p? (a) 1 (b) -0.17 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, j: 4, w: 2, t: 3, e: 5, a: 5}. What is prob of sequence ujt?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (24834 - 10919 - 11767)*(0*u - u - 3*u) - 2*u - 2*u + 2*u in the form v*u + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5660797 by 24.\nAnswer: -5660797\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 2*b + 8. Suppose 4*f = 2*j + 16 + 14, -f - 2*j = 0. What is u(f)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/6*(5 + -2). Let v be (j - (-16)\/3) + 12\/18. Solve 0*w**4 + 0*w**2 - 1\/3*w**5 + 0 + 1\/3*w**v + 0*w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 7*v + 15149960. Suppose 3*k - v = -4*a, 6*k - 9*k + 3*a + 3030006 = 0. Round k to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445*s - 922 - 440*s + 922.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/8*(2 + -2). Suppose g = -z - 3*z + 8. Solve 3*t = 3*c - 18, -5*c - 10 = t + z*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/15)\/11*6 + 1\/((-19)\/38)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 0 + 0 - 8*g**2. Let a(s) = -94*s + 51*s + 16 + 17 - 33 + 62*s. Give a(p(n)).\nAnswer: -152*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73443 or 73448?\nAnswer: 73448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 32835797.\nAnswer: -6567159.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - x - 2 = 0, -14*x = 2*g - 10*x + 28 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 19813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csdc. What is prob of picking 1 d and 1 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 + 18.6. Let c = -17.00077 + r. Round c to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*h**4 + 58259*h**3 + 20753063 wrt h?\nAnswer: 160*h**3 + 174777*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*g - 2*c, -4 = -g + 3*g + 3*c. Let r be 3\/4 + g\/4. Let o be r - (-1 + -2)\/(-1). What is the third biggest value in o, -3\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1232 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -77*n**3\/3 - n**2\/2 + 2*n. Suppose -89 = 9*c - 44. Is k(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/5)\/(x**(3\/2)\/x)*(x**1)**38)\/((x*x*x\/(x\/(x*(x\/x**(1\/3)*x)\/x))*x*x)**13*(x*x**0)\/x**3) assuming x is positive.\nAnswer: x**(-1043\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/((-5)\/(-2940)). Suppose 3*d - 72 = n + b, -n + 249 = 2*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14568, 14567, 14566, 14565, 14564, 14563?\nAnswer: 14562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54911309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, l: 1, k: 6, g: 6}. Give prob of sequence gkgk.\nAnswer: 15\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = 184534*h - 184632*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 654 divide 29287114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 12:27 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/4 (b) -0.5 (c) 90 (d) -3\/7 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*w - 137 + 137)*(5*w**2 - 4*w**2 - 2*w**2)*(6 - 7 + 16).\nAnswer: -495*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 13*p**2 - 2*p + 9. Suppose -2*v - 12 = -6*v. Suppose -2*i - i + 5*q - 29 = 0, -v*i + q = 37. What is the units digit of l(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3080 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Suppose 5*n - j*n - 18 = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-8)*4 + (20 - 19)\/((-8)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**2*i**3*s + 11*g**2*i**2 + 32*g**2*i*s**3 + 1355941*i**3*s**3 - 15*i*s**3 wrt i.\nAnswer: -12*g**2*s + 8135646*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.6 + -7.54. What is the nearest to -2\/3 in z, 3\/2, 3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000923028935 rounded to six dps?\nAnswer: -0.000923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5\/5 + 76*a**4\/5 + 1178*a**3\/5 + 220*a**2 = 0 for a.\nAnswer: -11, -1, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 5687*a = 5697*a - 122, p - 3*a + 21 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120692\/15 + -115744183\/14385. Calculate the common denominator of -95\/98 and x.\nAnswer: 13426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -39, -77, -119, -165?\n\"Answer: -2*z**2 - 32*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 71066\/(-32)*1\/(209 - 0). Let b = k - -202\/19. Is b <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-483)\/(-294) - 4\/(-2 - -6). Put -0.1, z, -2 in increasing order.\nAnswer: -2, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 10 + (-9 - -2 - -6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f. Let a(l) = -15*l - 13. Let b(h) = -7*h - 6. Let x(g) = 6*a(g) - 13*b(g). Calculate x(p(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 6\/4 - 4089\/1410?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.3 and 0.23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - 17) + (-450)\/(-27))\/((-8)\/6)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.026294 and 0.02175?\nAnswer: -0.0005718945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 6*j**2 - 59*j + 358. Calculate l(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010100101011101100 - -11?\nAnswer: 100010100101011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 7:15 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-2\/19)\/((q*q\/(q\/q**1)*q)\/q)**(1\/3)*(q\/q**3*q**(-2\/13))**(-20) assuming q is positive.\nAnswer: q**(1654\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14709204859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 3, 2\/301, -2\/5.\nAnswer: -2\/5, 0, 2\/301, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -10. Let u = -99133 + 99133.2. Which is the closest to u? (a) 1\/3 (b) k (c) 0.5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 935*x + 1182*x - 607*x to the form b + d*x and give d.\nAnswer: 1510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.63 - 0.829. Let t = 0.336 - f. Let q = 0.035 - t. What is the second biggest value in q, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -4*u + 19. Let g = u + -19. What is the lowest common multiple of g and -2*(1 - -1)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1132946.3 to the nearest 10000.\nAnswer: -1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**4 + 1016914*s**3*u + 299942*s**2*u wrt s?\nAnswer: 48*s + 6101484*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 10*u**2 - 60*u - 77. What is the hundreds digit of m(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s. Let x(r) = -r - 2. Let u be x(0). Let o be (1 - 2) + (-1 - -3). Let d(h) = -h**2 + 4*h + 2. What is o*d(f) + u*v(f)?\nAnswer: -f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -16. Let h = y + -8. Solve -5*l + 5*w = -35, 0 = 3*l - l + 3*w - h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**4*v + 2648*n**3*v - 6*v + 175 wrt n?\nAnswer: -4*n**3*v + 7944*n**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15004 + 29563 - 15015)*(0 - 7*w**4 + 0).\nAnswer: 3192*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + d + 3644691*d**2 + 3644675*d**2 - 7289379*d**2.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5595\/25 - (1 - (-6)\/(-5)). Suppose -c = 4*f - 1028. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 1 - 3)*(4*h - 3*h - 2*h) - 2*h + 4*h + h + 3*h - 2*h + 2*h)*(3*h**2 - 11*h**2 - 17*h**2) to the form n*h**3 + q*h + w*h**2 + u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -6954984\nAnswer: 5\/3477492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + 10. Let r = 27.63 - l. Let g = r + 0.2. What is g rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108120 * -0.2.\nAnswer: 21624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 22. Suppose -40*q = -34*q - 90. What is t(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1351950547 is divided by 157?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14 and -0.769.\nAnswer: -14.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9902239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -491990 or -0.6?\nAnswer: -491990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) + 4\/16. Suppose -4 = -4*j + 2*q, -2*q = j - i*q - 11. Let t = j + 2. Sort t, 0, 3 in descending order.\nAnswer: t, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145*l**3 + 32*l**4 - 145*l**3)*(-4 + 4 - 8*l) + (-13*l**3 + 8*l**4 + 13*l**3)*(7*l - 2*l + l).\nAnswer: -208*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -376*l + 37. Is w(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**4 - 165*w + 0*w**4 + 166*w + (-4*w + 0*w + 6*w)*(-w**3 + 2*w**3 + 0*w**3) + w**4 + w**4 + 0*w**4.\nAnswer: 7*w**4 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xettxp. Give prob of picking 1 e and 1 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + ((sqrt(880)*-3)\/(1*sqrt(66)\/sqrt(6)))**2.\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g = 7*g - 94 - 36 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(((t**(-3)\/t)\/t)\/t)\/t)**(-20\/3)\/(t\/(t*t*t**(-1\/4))*t)**(-24))**37)**(-25) assuming t is positive.\nAnswer: t**(-42550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14) - (6480\/(-252))\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13975)\/50*(-3)\/(-26)*(-568)\/426?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + 0 + -36 + (-3 - -12)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Suppose u - 1 = 1. Let j(l) = -18*l**u + 5*l**2 + 9*l**2. Calculate j(d(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 98. Let s(x) = -2*x - 195. What is 11*h(y) - 6*s(y)?\nAnswer: y + 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 2)*(2*f - 3 + 13 + 0*f)*(-2*f + 8*f + 0*f) to u*f + b*f**2 + y and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -697709*k**5 + 2*k**2 - 2*k + 252175 wrt k?\nAnswer: -41862540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154 + 138*j**2 - 136*j**2 + 12172 to f*j**2 + z + s*j and give z.\nAnswer: 12326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -34*f**3 - 70*f**2. Let b(i) = -11*i**3 - 24*i**2. What is -5*a(j) + 16*b(j)?\nAnswer: -6*j**3 - 34*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 - -0.1. Let g = 0.61 + -0.08. Let h = 0.6 - g. Which is the third biggest value? (a) 0.2 (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oggggggooggg. What is prob of sequence gggo?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423224 is divided by 285.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57704?\nAnswer: 2, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344232 divided by -42.\nAnswer: -8196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 199, 25 in descending order.\nAnswer: 199, 25, 9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + (2*sqrt(832) - sqrt(832)) + 3 + sqrt(832))**2*5 + -5 - ((-2*(sqrt(832) + sqrt(832)*-3 - sqrt(832)))**2 + sqrt(832) + sqrt(832)*3 + -5).\nAnswer: 688*sqrt(13) + 7533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (515 - 514) + -1 + (-10)\/(-14) + (-123)\/(-357)\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 433112816 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.16 + -0.16. Sort 0.04, 0.01, l in increasing order.\nAnswer: l, 0.01, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 7*f**2 - 9*f - 8. Let r be m(-6). Let i be 4\/r - 14\/(-40). Let x = 2608 - 2613. Which is the nearest to 3? (a) 1\/3 (b) x (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2377133 is divided by 5674?\nAnswer: 5401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/15)\/(a*a*a\/a**20)*a**(-11)*(a**0\/a)\/a assuming a is positive.\nAnswer: a**(59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1296\/(-1728))\/(2\/(-488)*-6)*2\/(-5).\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1732*y = -1723*y + 63 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by -299?\nAnswer: 47\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -269, 49.96, -1 in decreasing order.\nAnswer: 49.96, -1, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1000*i - 406707 - 561541 = -2772*i - 5852*i for i.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 0. Let m be 1 + ((-3)\/(-21))\/(14\/(-49)). What is the third biggest value in 2\/7, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7199922 or -7199923?\nAnswer: -7199922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iif when three letters picked without replacement from ifiiiiiifiiiiiiiii?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 190\/(-5))*2. Let f = j - 75. Solve f*i + 30 = r, r - 30 = 4*i - r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9360\/(-192))\/(-65))\/((-8)\/1056).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.195914 meters?\nAnswer: 5195914000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1240728, 242, -2 in decreasing order.\nAnswer: 242, -1\/1240728, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 12*j**2 + 4*j + 1. Let h(c) = 25*c**2 + 11*c + 1. Let v(s) = 3*h(s) - 5*t(s). Let n(w) = -w**2 - 7*w**2 + 3 - 7*w - 2. Determine 11*n(a) + 6*v(a).\nAnswer: 2*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 2.1. Let t = q - 1. Let v be (-396)\/(-726) + (2 - 210\/33) + 4. Which is the smallest value? (a) 0.2 (b) v (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(1694\/35))\/5.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47553900*i**3*y + 2*i**2*y + 3*y - 742364 wrt i.\nAnswer: 285323400*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2412 - 11231 = -7*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 13295 = 2*i, 3*i - 13295 = -10*t + 5*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 36704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + sqrt(448)*-3*-4)**2 + -3.\nAnswer: 2880*sqrt(7) + 193608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1903 is divided by 1737?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63341 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.7 - 0.3. Let s = g + 30.3. What is the closest to -1.3 in 1, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + -47.07. Let z = 0.09 - 0.1. Let j = z - n. What is j rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**5\/30 - r**4\/6 + 5*r**3\/6 - 6*r**2. Let j(b) = 3*b**2 - 7*b + 9. What is -3*j(v) + 5*q(v)?\nAnswer: v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5778 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 67034 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 204\/(-24))*(-1)\/40?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 10*l**2 - 6. Let y be (-3*(0 + -1))\/(-8 + 7). Let n be k(y). Calculate the highest common divisor of n and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32450.23 + -32611. Let x = i + 157. What is x rounded to one dp?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/9, 60, 87, -2\/7, 2 in increasing order.\nAnswer: -2\/7, 2\/9, 2, 4, 60, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 163311, 163304, 163297, 163290?\n\"Answer: -7*i + 163318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.85 + 0.506290701.\nAnswer: -5.343709299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33.8 + -34. Sort 0.08, o, -2\/3 in increasing order.\nAnswer: -2\/3, o, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + (sqrt(3) - (sqrt(3) + 4)))*3*-6)**2.\nAnswer: 104976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 43, -3 in ascending order.\nAnswer: -3, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9 + 1532*n**4 - 38 - 1535*n**4 wrt n?\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 2\/1 - 1. Let d(g) be the second derivative of g**8\/1680 + g**7\/2520 - g**4\/6 - 6*g. Let i(x) be the third derivative of d(x). What is i(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1466 - 0.1701. What is p rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2131760, 17054095, 57557586, 136432811, 266470348, 460460775, 731194670?\nAnswer: 1091462611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5 + 1089*x**4 + 10080*x**3 - 13332*x**2 - 22320*x = 0. What is x?\nAnswer: -10, -1, 0, 2, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -6. Let u = 53\/20 - 9\/4. Let h = -3 - -1. Which is the second smallest value? (a) u (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3263*t - 1553. What is the hundreds digit of h(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*f - 127 = 1336 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.326 + -0.074. Let q = 6.4 + o. Let z = -3 + -2. Which is the smallest value? (a) -10 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001391672 rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.7047 (b) -3 (c) 0.064 (d) -1\/4 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-7)*y**(-4\/3)*((y\/(y*(y\/(y\/((y\/(y\/y**(-9\/4)))\/y)))\/y)*y)\/y)\/((y*y*y**6*y)\/y) assuming y is positive.\nAnswer: y**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 18*v**3 + 90*v**2 - 18*v - 59. Let q(c) = -21*c**3 - 91*c**2 + 21*c + 58. Let f(s) = 6*m(s) + 5*q(s). What is the second derivative of f(j) wrt j?\nAnswer: 18*j + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7535 - -3642. Which is bigger: -3892 or m?\nAnswer: -3892","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345405865.\nAnswer: 5, 7, 103, 95813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqqd when four letters picked without replacement from {q: 8, d: 3, k: 5}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + g + 1. Let v be a(3). Let i be 18\/30 + (-17)\/v. Suppose 43 = l + i*l - 4*h, 0 = -4*h + 12. Calculate the highest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2. Let q(s) = 3*s**2 - 7*s + 5. Let p(y) = -2*d(y) - q(y). Determine p(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382870913?\nAnswer: 139, 2754467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 5*z + 65015 + z - 10372.\nAnswer: 3*z + 54643","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Let o(i) = 50*i + 402. Let d be o(-8). Solve p - 22 = 5*w, 3*p + z*w = -d*w - 29 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 1 = -10*f, 2*p + 2*f - 116160 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + 23. Let h = u - 29. What is the third derivative of 2 - 2 + 25*t**2 + 8*t**5 - h*t**2 wrt t?\nAnswer: 480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + -39. Let z be b\/25*345\/(-3). Let u = z - -89. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34.9 - 35. Sort w, 0.3, -4\/5, -3\/5 in descending order.\nAnswer: 0.3, w, -3\/5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**2\/2 + 3*d + 1521. Let f be (-128)\/(-22) + (-4)\/(-22). Calculate a(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 29, -0.4, -1\/7, 13\/10?\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2892.7.\nAnswer: -2891.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/3 + -1)*(-168)\/16. Suppose x*f - 507 = 10*f. Let i = -45 - f. What are the prime factors of i?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.4348 rounded to 1 dp?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-318750)\/100)\/51*(-4)\/(-14) - -5?\nAnswer: -90\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/12738 and 49\/1158?\nAnswer: 12738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdfffdffffddff. What is prob of sequence fd?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/5 (b) -65 (c) -2 (d) 0.5 (e) -9\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2)*(-16)\/(-22). Suppose 22*z = 997 - 997. Factor c*y + z + 2\/11*y**2.\nAnswer: 2*y*(y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - t - 4. Let i be b(0). Let d be (3 - i\/(-2)) + 1. Solve 0*f + 2 = d*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/379278971?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**4\/42 - 5*y**3\/7 + 16*y**2\/7 - 56*y. Suppose v(x) = 0. What is x?\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 332 - 330. Let z = -108 - -155. Suppose -b + 25 = l, v*b + 5*l - z = -0*b. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 6)*(0 + 3*h**2 + 0) + (-4 + 49 + 7)*(-4*h**2 - h**2 + 4*h**2) in the form i + r*h + o*h**2 and give o.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i + 7. Let d(k) = -5*k - 6. Let h(w) = -7*d(w) - 6*l(w). Let z(g) = 7*g - 2913*g**3 + 2915*g**3 + 0*g. What is -14*h(a) - 2*z(a)?\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47167*q + 422892 = 43021*q for q.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 2:07 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(3 - 26\/10). Suppose -a*x = 2*x + 525000. Round x to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 8*q - 12. Let u be m(-4). Let l be (4\/u)\/(5\/395). Suppose 0 = 6*d - 77 - l. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 3:25 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 328359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Suppose -282*y = -291*y. Suppose k*b - 4*g = 24, y*g + 10 = -3*b - 4*g. What is the least common multiple of b and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -314*h + 295*h. Solve 2*j + 4*s = h, 0 = 2*j - 4*s + 5 + 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 1)*(-14 + 559\/39).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7185336148?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -687912*m**3 - 270311*m.\nAnswer: -4127472*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006520311653 rounded to six decimal places?\nAnswer: 0.00652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 10:02 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1.08, 2\/7, 4, -12, 1\/2 in decreasing order.\nAnswer: 4, 1.08, 1\/2, 2\/7, -1\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty ninths of a hour in seconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-91 + 33 + 36)*(d**3 + 2*d**2 + 2 - 2) in the form y*d**3 + c + k*d**2 + j*d and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/3 - 220*h + 4816\/3.\nAnswer: -4*(h - 7)*(h + 172)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -9*m - 21. Let q(g) = 8*g + 16. Let r(y) = -4*c(y) - 5*q(y). Give r(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265905431 to the power of 1\/3, to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*h = 386, -5*h - 132 = -0*m - m. List the prime factors of m.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - -1) + -1*(2 - -1). Are 6 and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d - 176 + 5*d + 32*d**3 + 91 + 86 to x*d + p*d**3 + i*d**2 + y and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4301021273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 706.8775 millilitres?\nAnswer: 0.7068775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 519?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) 0.5 (c) 0.113 (d) 5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*(2*sqrt(91)*4 - sqrt(91)*-2*4))\/(sqrt(77)\/(-4*sqrt(11)) - (sqrt(63) + sqrt(567))\/sqrt(9)).\nAnswer: 4 + 320*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, p: 3, w: 3, y: 2, g: 1}. Give prob of sequence yw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.0087 - 8.9913. Let x = -3 + 1. Sort 0.4, 0, x, p in descending order.\nAnswer: 0.4, 0, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 248368 - 526888. Round u to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w - 12. Let p be k(8). Suppose 0*y - 4*y = -p. Let c(i) = i - 3*i + y*i. Let v(q) = -2*q**2. Give v(c(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**3 - 5*g**2 - 2*g. Let q = -15 - -13. Let n(l) = 5*l**3 + 11*l**2 + 5*l. What is q*n(r) - 5*d(r)?\nAnswer: 5*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1750\/21000 - ((1 - (-7455)\/(-3852)) + 1).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6054329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405874.\nAnswer: 2, 7, 53, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*f**5 + 50*f - 50*f + f**5 + f**5 - f**5 + (-4 - 1 + 3)*(3 + 2*f**5 - 3) - 2*f**5 - 2 + 2.\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + l + 16 - 7 + (-230*l - 45 + 224*l + 3)*(1 - 2 - 1).\nAnswer: 13*l + 99","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99704 and 1144.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-1 - -7) + -1 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104805 is divided by 1371.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 523.1887 to one dp.\nAnswer: 523.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*c**3 - 326*c**3 - 270*c**3 + 852*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 30 + 3*j**3 - 4*j**3 + 12*j**2 + 0*j - 15*j. List the prime factors of s(8).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4143592 and 4143591 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1043 + 1718. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -41 - (-10374)\/294 - (-12 + 0)\/2. What is the second biggest value in 3\/4, v, 2\/3, -582?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -10830828.4\nAnswer: 4332331.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -264946847?\nAnswer: -1059787388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 27 = -7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2308424 and 456.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18a07a7 + -c?\nAnswer: 18a0798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2223 and 311714.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -37*r**6\/120 - r**5\/30 - 13*r**3\/2 + 3*r**2 - 3*r. Differentiate j(x) wrt x.\nAnswer: -111*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15981 = 1598*y + 38623 + 95610 for y.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 426006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 + 172 - ((-12 - -7) + -120 + -1 + -2).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 2*s - a, -2*a + 14 + 91 = s. Let h = s + -98. Let f = -8 - -15. Solve -h = 3*y + f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoog when four letters picked without replacement from popgxgppggdepgpod.\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 31\/2 of a meter?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -184002, -184006, -184020, -184050, -184102?\n\"Answer: -s**3 + s**2 - 184002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -179, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-7)*(15 - 16)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3985, 7968, 11951?\nAnswer: 15934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -4, 2.3, -3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, l: 2, o: 1, a: 2}. Give prob of sequence aalo.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/21 (b) 2 (c) -5 (d) 2.3 (e) -15.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 5:00 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 102420 - 154?\nAnswer: 102233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 96217031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)*a*a)**14)**(-45)*(a**1\/((a\/a**(2\/5)*a)\/a))**(-40\/3) assuming a is positive.\nAnswer: a**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137984b (base 12) to base 4.\nAnswer: 32312301323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 135\/2 + 10\/(-200)*-10. What is the lowest common multiple of 1360\/n*1*1\/2 and 1188?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 6. Let y(w) = -2 + 8 - 1 + w - 8. Let n be y(3). Give c(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15386?\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/232 and -11\/290.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 15, n: 4}. Give prob of picking 2 n.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/6506 + -3263\/13012. Put -30, g, 3, -0.5 in descending order.\nAnswer: 3, g, -0.5, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4419, 4420, 4421, 4422, 4423?\n\"Answer: r + 4418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11790 and 10480.\nAnswer: 94320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 44\/9 (c) -3832\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - (-4 + 0 - -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1783 or -1782?\nAnswer: -1783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**3\/2 - 3*n. Suppose -4*l = -2*l + 8. Let r(o) = o - 7*o - 2 + 2. Calculate l*r(q) + 9*h(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10693 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12022212 - 112100?\nAnswer: 11210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3 = 45. Let j be (-6)\/30 - t\/5. Put j, -5, 2 in increasing order.\nAnswer: -5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 2162094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f + 16. Let q be r(-7). Let x(n) = -2*n**2 - 58*n - 24. Does 19 divide x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 12:34 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 + 5*p**3 - p**3 + (0 + 0 + p)*(5*p - 10*p + 10*p)*(2 - 2 + 22*p).\nAnswer: 111*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 2:27 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57\/5115868 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3923 and 3180?\nAnswer: 1247.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 100*i**3 - 2*i**2 + 4*i + 20. List the prime factors of w(4).\nAnswer: 2, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816237?\nAnswer: 3, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) 4 (c) 0.4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49 - 7*y**2 - 49)*(-24349 - 24348 - 21*y**2 + 48717) to the form v*y**3 + x + q*y + g*y**4 + l*y**2 and give l.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 663\/85 - (-2)\/10. Let a(y) = 8 + 9*y + l*y - 15*y. Let i be a(-2). Solve -5*s = k + i*k, 2*k = -3*s + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qappqqyoaqqyooa. What is prob of picking 1 p and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(-22)*(1 + -29). Let w be (0 - 2)*1 + 5. What is the remainder when 58 is divided by (1\/w*3)\/1 - g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1775 - 5231 - 9*x**2 + 1742 + 1772.\nAnswer: -9*x**2 + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s - 1123 + 1203 = g, -6*s + 4*s - 4*g = -10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + -0.97. Let p = 0 - l. Let t be 1*(-3)\/3*-3. What is the nearest to p in t, -3\/5, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 2 - 9*o**2 - 4*o - 4 + 3. Give r(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 - 3936263031?\nAnswer: -3936263030.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**4 - 2315*r**3 - 61310*r**2 + 150200*r + 527040 = 0. Calculate r.\nAnswer: -27, -2, 4, 488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8451 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 37390\/7351?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/13)*z)\/z**(7\/5))\/(z*z**0\/z)**(-5\/4) assuming z is positive.\nAnswer: z**(-31\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47558015?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -q - 26. Let l be 18\/15 + (-32)\/q. Let m(b) = 5*b**3 - 6*b - 3 - 7*b**l - b**3 - 5*b**3. Calculate m(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118953843 take away -410?\nAnswer: 118954253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1008 - 1108.7. Let t = 0.7 + l. Let z = t + 100.000051. What is z rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 5*w - 108. Which is bigger: 8 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**5)\/m*m**(2\/23)*m*(m**(1\/3)*m)\/(m\/m**(1\/3)))\/((m**(-1))**23*(m\/((m*m**(-1))\/m)*m)**(-2\/27)) assuming m is positive.\nAnswer: m**(4135\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r + 44. Let t be s(0). Suppose 2*w - 4*w + t = 2*x, 4*x = -5*w + 89. What is the remainder when x is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1235 - 1235. Let h(r) = 2*r - 10. Let a be h(-5). Let i be ((-8)\/a)\/((-3)\/(-30)). Solve -3*s - 10 = k, -10 = -2*k - c*k + i*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151773 - 151773 - 2*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n + 49*n - 40*n.\nAnswer: 23*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210525 is divided by 2567?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 49*q**2 - 94*q**2 + 49*q**2. Let h(a) = 5*a. What is h(x(u))?\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84 or -248\/3?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 868231*s - 240 = 868219*s for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 318027 at most 2226194\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195837338 divided by 1179743.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*q + 4*h, -2*q - 3*h + 8*h = 3. Let l(p) = -p**2 - 18*p - 46. Calculate l(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 42521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 - 54*x - 38. What are the prime factors of v(-10)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/11 + 20*z**2\/11 - 174*z\/11 + 288\/11.\nAnswer: 2*(z - 3)**2*(z + 16)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1353*n - 2293*n + 7520 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -154285\nAnswer: 12342.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -25\/12*p**4 + 1\/6*p**6 + 0*p**2 + 0 - p**5 + 0*p**3 + 56*p. Let z(i) = 0. Calculate i.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 132 = 7*f. Suppose -2*c = -4*c + f. List the prime factors of c - -19 - 2*1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9*p*p)\/(p\/((p\/(p*p**(-2\/19)))\/p)) assuming p is positive.\nAnswer: p**(173\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/7*-6*1\/4. Put 5, -269, b in increasing order.\nAnswer: -269, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-5*((-306)\/17)\/90.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -12, -25, -42, -63?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 52?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/9, -25, 0, -0.17 in increasing order.\nAnswer: -25, -0.17, 0, 8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 81 - (-2 + 0). Let a = f - 13. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**7*j*j))\/j**(1\/5)*j**(-1\/9)\/(j**(-9)*j))\/((j**3*j)\/((((j\/(j*((j*((j*j\/j**(-10))\/j)\/j)\/j)\/j)*j*j)\/j)\/j)\/j))**(-2) assuming j is positive.\nAnswer: j**(1246\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*sqrt(300))**2*1.\nAnswer: -300*sqrt(3) + 2725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.24 - -1.9. Let m = -0.24 - d. Let f = -1.8 + 1.4. Which is the smallest value? (a) f (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2 - 5*z**2 + 3*z**2 + 0*z**2 + 0*z**2 + 3*z. Let d be j(4). What are the prime factors of 4\/16 + d\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m, -5*h - 2 = -3*m + 3. Let n = h - -6. Suppose n*r = 253 + 7. Does 22 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12024342 - -3?\nAnswer: 12024400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-2\/7)*t**(-11)\/t*t\/t**2*t*(t*t\/t**12)\/t assuming t is positive.\nAnswer: t**(-156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -27. Let x(n) = -31*n - 3. Let l be x(-2). Let k = 56 - l. Sort 4, k, w.\nAnswer: k, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4)*0\/2. Let v = q - 5. Let n(d) = 2*d + 17. Let b(m) = m + 9. Let c(p) = 7*b(p) - 4*n(p). What is c(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1955362.\nAnswer: -1\/1955362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9677.094 millimeters in meters?\nAnswer: 9.677094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (45\/(-10))\/((-1)\/14). Let r be ((-10)\/339)\/(8\/q). Let t = r + -2\/113. Which is the third smallest value? (a) -3 (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8596985395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/2))**(6\/11)*z**(-2\/9)*z**(-15) assuming z is positive.\nAnswer: z**(-1426\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 0*a**3 + 2\/11*a**4 + 0*a**2 + 0 + 0*a + 6\/11*a**5 = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 5*g)*(616*g**2 + 474*g**2 + 242*g**2) + g**3 + 2*g**3 - 5*g**3.\nAnswer: -6662*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ccdcccccccccd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-20))\/((-10)\/(-200))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 12*j + 59. Determine o(-11).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 + 73 - (-1 + -1 - (3 - 11))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 587105.\nAnswer: -41097.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*c + 63*c - 139 = -18 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 448614 and 135.\nAnswer: 6729210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + -4 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2 - 24*h. Let o(k) = 11*k. What is n(o(m))?\nAnswer: -363*m**2 - 264*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3)*s)**(-22))**(2\/33) assuming s is positive.\nAnswer: s**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {k: 1, c: 1, l: 1, x: 1, r: 2, f: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:45 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 2*z - 13, 44 = -40*n + 36*n + 6*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.498168t to micrograms.\nAnswer: 1498168000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0 (c) 1\/4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 537 times -0.5\nAnswer: -268.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1767*y**4 + 732*y**4 - 1904 - 230*y**4 - 1642*y**4 wrt y.\nAnswer: -11628*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291176 = 4*f + 291092 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -727131 and -727131 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -10. Let t = 0 + j. Let o(g) = 4*g**2 - g + 1. Let z be o(1). Solve 0 = 5*v - t*v + 4*s + z, -5*s = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**2 + 9*y**2 - 2*y**2)*(2*y**2 - 30 - 40 + 123) as m*y + v + o*y**4 + q*y**3 + g*y**2 and give g.\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1064 - 1082 = -6*a. Suppose 0*d + 5*t + 1812 = 2*d, -a*d = -5*t - 2708. What is the greatest common divisor of 28 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -356 + -511.19489\nAnswer: -867.19489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43394 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 25 = -u, 9 = -20*t + 19*t + u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10046 - 120469\/12. Let p = -930\/59 - -11135\/1062. Calculate the common denominator of p and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 33215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*a + 140 = 92*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/2 - 1)*10. Suppose z*l - 50 = -5*g, g - 4*l - 6 = 14. What is the least common multiple of g and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9324 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in centimeters?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59428 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from xxvwwvwxjjjvj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -686*x**3\/5 + 17346*x**2\/5 - 146202*x\/5 + 410758\/5.\nAnswer: -2*(7*x - 59)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**1*n**(-12))**50 assuming n is positive.\nAnswer: n**(-600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 172*337\nAnswer: 57964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 18. Let l(p) = -p - 20. Give 3*l(c) - 2*r(c).\nAnswer: -c - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i**2 - 19*i + 54. List the prime factors of d(3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*o**2 - 29*o**2 - 39*o**2 + 257*o**2.\nAnswer: 323*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 20. Let b = -636 - -643. What is n(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -201\/4 - -49. What is the second smallest value in -5, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8349858, 8349865, 8349872, 8349879, 8349886?\n\"Answer: 7*l + 8349851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z\/(z*z\/(z*z\/((z**(3\/2)*z)\/z)))))\/z)\/z**(-2)*(z\/(z*z**1\/z))\/(z\/z**(-3\/7)))\/((z**(-2\/3))**(-36)\/(z**(-1\/4)\/z)**(-40)) assuming z is positive.\nAnswer: z**(393\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -179 + 11*d + 179 as q + w*d and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**6\/1020 + f**5\/170 - f**2 - 5*f. Let z(u) be the first derivative of j(u). Factor z(r).\nAnswer: -2*r**2*(r - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-5)\/(-2)) + (-27)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**0)\/k))\/(k*k**(6\/5))*(k*k\/((k\/k**7)\/k))\/k**(3\/2) assuming k is positive.\nAnswer: k**(63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 - 3*j. Let p be c(2). Let d = 5 - 2. What is the third derivative of 2*w**2 + 2*w**6 - 4*w**2 - d*w**p wrt w?\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15772933 is divided by 233.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000239725 rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47362 and 272?\nAnswer: 378896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 233440 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -22. Let t be 2\/((-1)\/(-6)*c). Is -3 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 10*w**2 - w - 3. Let i(o) = -4*o. Let h be i(3). Let v be 4 + -1 + 8\/h*-3. What is the units digit of f(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 559541232 divided by 296\nAnswer: 1890342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 5:59 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = 8*l + 172. Let u = l - -265. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 2*p - p + p**3 + 3 - 4*p**2. List the prime factors of r(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4 - (-85)\/(-68)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187 + 188. Let p be (-6)\/(-2 - w) - 280\/(-5). Suppose -3*j + 432 + 3 = 0. Calculate the highest common factor of p and j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -15*u**2 - 11*u. Let l(r) = -3*r**2 - 2*r. Let f(o) = 11*l(o) - 2*s(o). Let i(w) = -5*w**2. Give i(f(x)).\nAnswer: -45*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 4*h**2 - 5*h + 3. Let m be k(3). Sort m, 20, -2 in ascending order.\nAnswer: m, -2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m - 32. Let a be o(-6). List the prime factors of -1 + -1 + a + 3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2382*k + 5. Let w(v) = -4775*v + 9. Calculate 4*w(p) - 7*y(p).\nAnswer: -2426*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(sqrt(448) - (-1 + sqrt(448)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/8 - 45*j**4\/8 - 375*j**3\/4 - 2795*j**2\/4 - 17745*j\/8 - 19773\/8 = 0.\nAnswer: -13, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 20995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 33 + 18 = 0. Solve 3*p + 3*k + k = -4, -4*p + l*k + 28 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6061110 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/9 - 68*u\/9.\nAnswer: -2*u*(u + 34)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 374*q**2 + 67. Let m be d(-6). Round m to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 20 - 92 = 0. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 1. Let x = 8.62 - 5.52. Let m = x + w. What is the third smallest value in m, 0.1, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, u: 3}. Give prob of picking 1 p and 1 u.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000786379 to seven decimal places.\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v - 7. Let i(m) = -m + 6. Let p(c) = -3*c + 12. Let a(h) = -9*i(h) + 4*p(h). Determine 7*a(s) - 6*g(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v = 3*z - 26*v + 65*v - 19*v + 20, -4*z + 4*v - 32 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19870426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b2b1 (base 12) in base 8?\nAnswer: -430745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -18*x - 25. What is t(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46308 is divided by 7551?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x + 6. Let b = 9204 + -9209. Let h be 4*(4\/2 + -1). Suppose 0 = h*w + g - 6 + 14, g + 2 = 2*w. Let d(p) = -1. Give b*d(s) + w*c(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 8*m + 4. Let n be t(-4). Let w = n - -22. Let i be (-30)\/6*32\/w. Is i equal to -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j*m**4 + 74*j*m**3 - 2*j*m**2 + 2337*j*m - 2*j - 8*m**4 + 16*m**3 - m**2 - 2 wrt m?\nAnswer: -72*j*m + 444*j - 192*m + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 10:31 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -14. Let t = -7 - -11. What is the second biggest value in t, m, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -184532 or -32\/5?\nAnswer: -184532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 194*k**6\/15 - 1097*k**4\/12 - 129*k - 7. What is the third derivative of y(n) wrt n?\nAnswer: 9312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26879, 53679, 80479, 107279, 134079, 160879?\n\"Answer: 26800*x + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/12*-6)\/((-4)\/1786). Let u = -1098 + i. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**5\/20 + 5*h**4\/12 - h**3\/3 + 5*h**2\/2 + 17*h. Let c be ((-6)\/(-10) - 1)*-10. What are the prime factors of t(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375)*1 + (sqrt(110)*2)\/sqrt(2))\/(sqrt(60)\/(sqrt(96)\/sqrt(200) - sqrt(12))).\nAnswer: -28*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5484, 10974, 16464?\n\"Answer: 5490*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 1 (b) -2 (c) 61\/1758 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2391075 and 27.\nAnswer: 7173225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 942 = 73*k - 1978 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 + 100. Let x = -170.99 + h. Let f = x + -0.01. Which is smaller: f or 9\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from {x: 2, f: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 15. Let r be ((-18)\/8)\/(z\/28). Let n = r - -9. Solve n = -4*u - 2*m + 6, 4*u + 4*m + 5 - 1 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 378244*d**2 + 8941593596*d + 8941971844.\nAnswer: 4*(d - 47281)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/834 and 8\/249?\nAnswer: 69222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + h**2 - 2)*(-3*h**3 + 5*h**3 + 0*h**3) + h**5 + 3*h**5 + 4*h**5 + 0*h**5 - h**5 + 2*h**5.\nAnswer: 11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/4)\/(5\/(-10)). Suppose -4*m - 69 = -0*m + 5*c, c = m + 6. Let y = -6 - m. Solve -4*u + f*d + 15 = 0, u = -0*d + y*d + 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -7*z + 5*z - 2*z + 43, 0 = o + o - 4*z + 106 for o.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 13*j**3 + 15*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61\/130 - 2\/65. Which is the closest to t? (a) 2 (b) -3\/4 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/6821 and 49\/2851537?\nAnswer: 54179203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1 + 2 - 3 + 2*j + 4*j. Let y be a(-1). Let u be 7198\/1 + y\/(-4). Round u to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 12*h**5 + 239028*h**4 + 1205209371*h**3 + 147963804906*h**2 - 606325381932*h + 611150044440 = 0?\nAnswer: -19793\/2, -130, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 79 - (3 + 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 215 = -4*z - l, -5*z + 3*l = 256. Let h = z + 83. What is the tens digit of (-2)\/(-10) + 324\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -98 - 14*d**2 + 98 in the form f + v*d + x*d**2 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 12*b + 21. Let u be l(-11). Suppose 0 = -4*x + u - 8. Find the second derivative of -301*o + x*o**3 + 13*o**3 + 17*o**3 + 325*o wrt o.\nAnswer: 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 13 (b) -42 (c) -3 (d) 0.011 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.691843m?\nAnswer: 2691843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 136847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*s - 697 + 340 + 357.\nAnswer: -279*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7277 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/4 less than or equal to 0.015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168778291.\nAnswer: 11, 31, 59, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 1\/4 (c) -15 (d) 2\/5 (e) 0.045 (f) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 4*w + 6 = 57 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1880\/807 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1578326, 1578319, 1578312, 1578305, 1578298?\n\"Answer: -7*h + 1578333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0.2. Let k = 0.3 + 3.7. Which is the closest to 0.1? (a) z (b) k (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w + 70*w = 204 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 - 56 - (409 - 407 - (0 + -1 + 27))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**4\/4 + 5*c**3\/3 - 3*c**2 + 6*c + 4. Let b be w(-6). Is b >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -11*h**6\/120 + h**5\/10 + 10*h**2. Find the third derivative of m(s) wrt s.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/sqrt(275) - sqrt(13) - sqrt(13))*-2*1 - (1*-2*sqrt(78))\/(sqrt(270)\/sqrt(5)).\nAnswer: 64*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1486.2 times 11?\nAnswer: -16348.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2 (b) -4 (c) -298 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69918 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-20))\/((-2)\/20)*156\/(-585). Let f(x) = -x**2 - 6*x + 1. Let j be f(-6). Sort j, -5, c in ascending order.\nAnswer: -5, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -249, 29 in descending order.\nAnswer: 29, 4, -4, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 + -1717?\nAnswer: -1689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50877\/4 + -12719. Suppose 0 = 3*o + n - 18, -2*n = 3*o - 29 + 8. Which is the smallest value? (a) m (b) 0.2 (c) o (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2. Let t(g) = -11*g + 43 - 62*g + 23 + 38*g + 37*g. What is t(y(f))?\nAnswer: 2*f**2 + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 1921734912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 38961585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**3 - 2*z**2 - 19*z. Let n(s) = -5*s**3 + 3*s**2 + 20*s. Determine 4*n(i) + 6*y(i).\nAnswer: 4*i**3 - 34*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3\/4, 1\/2, -4, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/(-308))\/(1\/(-2))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 624303.1 decades in centuries?\nAnswer: 62430.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 + 75. Let w(b) = -b + 6. Let q(m) = -m + 7. Determine p*w(s) - 6*q(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 695 = -5*z, 50*z - 441 = 47*z - 3*n. List the prime factors of z.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5*b - 45 = 0, -2032*b - 5 = 5*h - 2035*b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10717, -21450, -32205, -42994, -53829, -64722, -75685, -86730?\n\"Answer: -2*a**3 + a**2 - 10722*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*s + 4*o, -2 + 10 = s - 2*o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.086274 and 85?\nAnswer: 84.913726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -56*v**3 + 2 - 7*v + 57*v**3 + 0 + 3*v**2 - 3. Suppose 0 = -h + 2*h + 5, -2*i - 5 = -h. Give t(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4591217 minutes to seconds.\nAnswer: 27.547302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o. Let r(b) = -2*b**2 - 28*b. What is r(g(j))?\nAnswer: -18*j**2 - 84*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1589 + -1589. Let q(w) be the second derivative of 5*w + 5\/2*w**3 + l + 1\/2*w**2. Give q(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(567) - -4*1*sqrt(567) - sqrt(567) - sqrt(567)))**2.\nAnswer: -216*sqrt(7) + 5119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/20 + -131\/260. What is the third smallest value in m, -1, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/((-7)\/(-28)). Let f(g) = 2*g**2 + 5*g + 4. Let y(d) = -d**2 - d - 1. Let p(a) = -f(a) - 5*y(a). Does 13 divide p(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5c (base 16) to base 5\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyifeefvf. Give prob of sequence efiv.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**5 - 10*z**4 - 4*z**3 = 0 for z.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3534 - 3600.48. Let l = n + 7.58. Round l to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y**3 + 1. Suppose 8*g = 7*g + 4. Suppose 2*p - 4 = -u, g*p + 6 = 5*u - 0. Let d be r(p). Calculate the highest common factor of 48 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*z = -33 + 13, -5*t + 2*z = -20. Let n(r) = r**2 - 2*r**2 - 5*r**3 - 2*r + t*r**3. Let p(g) = g - 16. Let q be p(14). What is n(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 118.6 and -29.\nAnswer: 89.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) -89 (c) -1253 (d) 2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72056 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: (35\/((-385)\/(-22)))\/((-2)\/25)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**6\/20 + s**5\/20 + 18*s**2. What is the third derivative of d(t) wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*d - 10 = -162*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -3*v**4\/4 - v**3\/6 + 107*v**2. Give t(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, 398, 1106, 2102, 3386, 4958?\nAnswer: 6818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**3 + 380*w**2 + 1775*w = 0. Calculate w.\nAnswer: -71, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 1\/349, 12.2, -1\/6?\nAnswer: 12.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1105361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykkmykykiyikkymkyy. Give prob of sequence mimi.\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000 - -112?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*r = -22, 4*r + 0*r - 6 = 3*i. Suppose 3*b + 1 = 2*o - 12, 5*b = -i*o - 27. Let s(q) = -q**2 - 6*q. Let h be s(b). Solve -7 = h*n - 22 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 486906398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 287, 665, 1215, 1949, 2879, 4017, 5375?\nAnswer: 6965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-5) + 4\/100*205 + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 1:22 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -e2 (base 15) to base 4\nAnswer: -3110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -18. Suppose 2*h = 3*n - 5, -n + 2*n + 2*h = -1. Which is the third biggest value? (a) n (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1931)\/5793)\/(10\/54*3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 6*n + 6. Let o be v(-4). Let q be 56*(3\/o - -2). Suppose -m + 0 + q = 0. Solve b - 2*b = -5*a, -3*a = 5*b - m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0.3. Let f = -0.288 + -3.712. Let q = -61 - -243\/4. Which is the second biggest value? (a) k (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**8\/1008 - 11*w**7\/630 + 19*w**6\/360 - w**5\/20 + 2*w**2 + 7. Factor f(t).\nAnswer: t**2*(t - 9)*(t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2386 (b) 5 (c) -3 (d) 2\/7 (e) 2\/9 (f) -1\/6 (g) 0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a6 - -1e?\nAnswer: 2c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5434 - -5518. Solve 18*h - z = 4*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 81?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 203806 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + m = 40, 6*z - 4*m = 9*z + 11. Let c(r) = r**3 + 14*r**2 + 42*r + 19. Let f be c(z). Is 45 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 1. Let h(o) = -4*o - 9. Let b(y) = h(y) - 3*v(y). What is b(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4599213769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*1 - (sqrt(171)*-2 + sqrt(171))**2) + (sqrt(152)\/(sqrt(128)\/sqrt(4)))**2.\nAnswer: -665\/4 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*x = -290, -2*x - 40 = -4*y + 238. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16952 by -3928.\nAnswer: 2119\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**3 - 3. Let j(t) = 4*t - 3. Let m = 0 + -6. Let r(g) = -17*g + 13. Let o(d) = m*r(d) - 26*j(d). Give o(q(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221 (base 3) to base 11.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 17 + (-4 - -6) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/54)\/((-8)\/(-48)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-15))\/((-88)\/60 + 2). Which is the second biggest value? (a) v (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*c - 6*y + 4*y, -2*y - 8 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(104\/(-65)))\/((-1 - -4)\/(-3)). Let k = -0.9 - -1. Let n = k - 0.1. Which is the smallest value? (a) n (b) v (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -28*p - 27. Give m(3).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16976, -16971, -16966, -16961, -16956?\nAnswer: -16951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 16878?\nAnswer: 33756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 33 = 4*s, 0 = 5*s - 4*s - o + 7. Let r = 8022 - 8022.1. Let y = -322 - -4184\/13. Put r, y, 1\/5, s in decreasing order.\nAnswer: 1\/5, r, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1745 and -4.\nAnswer: 0.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -1, 7, 39, 107, 223, 399?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 722189906 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30215, -60617, -91129, -121805, -152699?\n\"Answer: -9*d**3 - d**2 - 30336*d + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 201170, 18 in ascending order.\nAnswer: 5, 18, 201170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(539) + -2 + 1*(-2 + sqrt(11))))**2*2.\nAnswer: -3200*sqrt(11) + 36000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 2031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.2. Which is the nearest to 2? (a) p (b) 2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11361*-2\nAnswer: 22722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5*(4 + 3 + sqrt(1216)) + (4*(sqrt(1216) + 4) - sqrt(1216))*-3)*-6)**2.\nAnswer: 31104*sqrt(19) + 706977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 424 = -4*y, 3*y - 154 = -3*h + 467. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.082 + 15.282. What is r rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 27. Suppose 3*z + c - 5*c = 8, 17 = 2*z - a*c. Is 5 a factor of (1\/(z\/12) - -21) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -117, 3, 2 in ascending order.\nAnswer: -117, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1\/79, 2\/11, -10, 2 in descending order.\nAnswer: 2, 2\/11, 1\/79, -2\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/9 - 16406\/(-234). What is the derivative of q + 74*n**4 + 70*n**4 + 102 wrt n?\nAnswer: 576*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 10:18 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 12 + -12 + 41?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/(-2))\/(5\/22) and (-112)\/(-6) + (1 - 3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(4\/2) + 3. Let o(y) = -q*y + 2*y - y**2. Let d(h) be the first derivative of 2*h**3\/3 + 19. Give d(o(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 13*n**2 - 13*n - 13. Let z be r(-12). Let l be 1*4 + -1 + -2. Let q(c) = 4 - 4 + l. Let s(v) = -v + 4. What is z*s(w) + 4*q(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -18, 49 in ascending order.\nAnswer: -18, 1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 8, n: 3, b: 6}. Give prob of sequence bn.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 640.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5597 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gefifuuefefwffg. Give prob of picking 1 g and 2 u.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 114679992 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-11 - (-8 - 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -221362, -221371, -221392, -221431, -221494, -221587, -221716?\n\"Answer: -n**3 - 2*n - 221359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101012 + -21?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3486 - 123. Does 19 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuupnyyvkuvpuunuu. Give prob of picking 1 k and 1 y.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -754 minus -0.4?\nAnswer: -753.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 6:30 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-54*j + 95*j - 21*j)*(0 - 4 + 3)*(-2*j + 3*j - 4*j) + (1 + 2 - 5)*(j**2 + 3*j**2 - 5*j**2) + 4*j**2 + 2*j**2 - 4*j**2 as s*j + d*j**2 + x and give d.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 2*f + 6*f + (-f - 4*f + 4*f)*(0 + 2 + 0) to the form z*f + y and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 - 491*c + 377. Determine s(122).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 4227 + 4233 = -2*f, -76*z + 16*z = -2*f + 122 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 - 3 - (4 - (10 - 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17936 and 224922?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404891.\nAnswer: 31, 37, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:15 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101\/62 - 4\/31. Let p = 3531.6 - 3532. Is p greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1068705341.\nAnswer: 11, 101, 397, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*y**3 - 3646*y + 1202*y + 9*y**3 + 1250*y + 1194*y.\nAnswer: 42*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-15))\/(12\/(-20))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20975490659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - ((2 - 1) + -228). Suppose -6*a + p = -a. Is 18 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1413 is divided by 237?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227597237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1689.594148 - -143589.\nAnswer: 141899.405852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 4 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1586 and 1092.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1003*i + 1007*i + 16 = s - 3*s, -4*s + i = 23 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.8 + 1.2. Let m = -125 - -130. Which is the biggest value? (a) -0.5 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010101101001110010 (base 2) in base 6?\nAnswer: 114503350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7010.9 rounded to the nearest 10?\nAnswer: 7010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -66184, -66131, -66040, -65911?\n\"Answer: 19*g**2 - 4*g - 66199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 106186?\nAnswer: 106186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -14*133\/182 - -10. What is the third biggest value in -2, -5\/4, -1, a?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/(-240) + (-2)\/8. Which is the second smallest value? (a) v (b) 1\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -686\/3, -1\/2, 0.3, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39487*o - 38512*o + 37050 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15431668.\nAnswer: 2, 7, 43, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnn. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*q - 35*q + 4771*q.\nAnswer: 4414*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00700807651 rounded to seven decimal places?\nAnswer: -0.0070081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 41*c - 296 = 45*c, 0 = -5*i - 2*c + 1436. Calculate the remainder when i is divided by 117.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1343?\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*x - 1 + 6*x - x to z*x + g and give z.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z + 3*z + (2 + 4 - 4)*(-1 - z + 1) - 3*z + 2*z + 2*z)*(-283*z + 1642*z**2 - 251*z - 1644*z**2).\nAnswer: 4*z**3 + 1068*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 2, -4, 44, -1.\nAnswer: -4, -1, 0, 2, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 336 = -l + 338, 0 = -4*l - 2*a - 28 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 4664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**3 + 309057*i**2 - 6180240*i + 30899700 = 0?\nAnswer: 10, 102999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -d6ba2 (base 14) in base 11?\nAnswer: -324344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272965833?\nAnswer: 3, 7, 4332791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(7\/84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 5*c - 6. Let t be r(-6). Suppose k + 4*k - 20 = t. Differentiate a - a - k - 3*a**4 + 0*a wrt a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*b - 9615*b**2 + 9610*b**2 - 149*b + 3*b**4 + 163*b**3 - 2*b**4 to i*b**4 + k*b**2 + j*b + d + s*b**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9308*o**2*r + 11*o*r**2 - 27*o*r + 937*r**2 - 723*r - 1 wrt o.\nAnswer: -18616*o*r + 11*r**2 - 27*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c + 13. Let k be i(3). Let w(l) = -3*l**3 + 4*l**2 - 3*l + 7. Let s(o) = 4*o**3 - 4*o**2 + 4*o - 8. Let a(r) = -2*s(r) - 3*w(r). Determine a(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018.58676 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j + 1618 - 1783 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 106, 417, 936, 1663, 2598, 3741, 5092?\n\"Answer: 104*c**2 - c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 35*g**2 - 29294*g - 834. What is u(837)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.17 + -102.83. What is the third biggest value in -1\/3, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 160 + -174a?\nAnswer: -15aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**6\/120 + 7*t**5\/60 - t**4\/6 - 16*t**2. Let s = -15 + 32. Calculate the remainder when u(5) is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-488)\/(-305))\/(3*2\/(-15))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -531.8.\nAnswer: 31.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1. Let z(r) = 3*r. Let w be z(y). Solve 2*g + w*g = 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-10))\/(93\/(-310)). Suppose 2*i - 82 = -4*p, z = -0*i - 2*i. What is the remainder when 196 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 5)\/(1\/(-9)). Let a = -9 + 24. Calculate the remainder when (3 - (-139)\/3)*o\/(-3) is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -9. Suppose -3*s - 5*o - 9 = 0, 0*s + o = -u*s + 7. Put s, -3, -5 in decreasing order.\nAnswer: s, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -36*z**2 + 44. Give q(-8).\nAnswer: -2260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/5 or -101815?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14011 - -14070. What is the remainder when 14394 is divided by z?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 5, z: 2, p: 3, g: 1, c: 1}. Give prob of picking 2 z.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4573300 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d**2 - 2. Let h be m(2). Let j be (2 - 46\/h)*-2. What is the third smallest value in 4, j, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30819367 and 6684?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3\/4*x + 0 + 3\/4*x**4 - 3\/4*x**2 - 3\/4*x**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 619808670 and 2730.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aat when three letters picked without replacement from aaato?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 2)*(2 + 2 - 3) + 2 - 1 - 2 + (0 - 3 + 1)*(-1 - 2 + 1))*(0*h - 2*h + 0*h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/(-20) + 135\/(-27)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 11*n - 48 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 40*w = -85, 173*w + 50 = -5*z + 168*w for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + 173468.\nAnswer: 173424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52276873 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1008)*-1)**2 - 1*sqrt(1008)*6 - ((3*sqrt(1008)*3 + sqrt(1008) - sqrt(1008))**2 - (-3 + sqrt(1008)*3)**2))*6.\nAnswer: -429330 - 1440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + b**2 + 2*b + 1. Suppose 0*a - 20*a + 400 = 0. Let d(s) = -5*s**3 + 25*s**2 + 25*s + 7. Let u(r) = a*q(r) - 5*d(r). Factor u(f).\nAnswer: 5*(f - 3)*(3*f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -6. Let r = 446695\/7 + -63813. What is the second smallest value in -49, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3440, -6880, -10320, -13760, -17200, -20640?\n\"Answer: -3440*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1987, -3975, -5963, -7951, -9939?\n\"Answer: -1988*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 487605\/1735228 + -98\/349. Let a = 98199\/9944 - r. What is the common denominator of a and 19\/180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1259759 (base 15) to base 14\nAnswer: 1a7670a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(36) + (-2*sqrt(85) - sqrt(85) - sqrt(85) - sqrt(85))\/sqrt(5) + -5 + -2 + sqrt(51)\/sqrt(3).\nAnswer: -11*sqrt(17)\/3 - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60 + 12 + -1)*(15\/25 + (-88)\/55).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -1. Let k = -65\/4 + 16. Suppose 0 = -0*d - 2*d + 10. Which is the smallest value? (a) v (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*1*(-2)\/4. Suppose 0 = -3*g - 2*t + 6, g + i*t = 4*t - 3. Suppose 5*x + 15 = -g*x. Sort -5, 0, x in descending order.\nAnswer: 0, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23137131 is divided by 1258?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188267754 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/(sqrt(45)\/sqrt(125))*-2)\/((-2*-2*sqrt(99))\/((sqrt(9) + 1*sqrt(9))*6)).\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 + 380 = 5*t. What is the greatest common divisor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47054228?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.0596 and -15252.\nAnswer: -15249.9404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u**3 - u. Let y = -6 - -7. What is a(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1245)\/(-3486)*(41\/10 + -2). What is the nearest to 1\/7 in f, 0.11, 9?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, 0, -1\/3, -20\/17?\nAnswer: -20\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 371163*d**5 + 374129*d?\nAnswer: 7423260*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, m: 13}. What is prob of picking 1 m and 2 y?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*i + 5*n, i + 0*i - 3*n + 14 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 7*c**5\/20 - c**4\/12 - c**3\/6 + c**2\/2 + 10*c. Let w be r(1). Is 4 - w - (-2 - 166) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 492*j**2 + 2 + 0*j + 0*j - j**3 + 17*j**4 - 490*j**2 in the form r*j**3 + x*j**2 + n + g*j**4 + b*j and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -1\/2, -73, 0.29 in decreasing order.\nAnswer: 18, 0.29, -1\/2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from rrxxyjm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5122847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -34*d**2 - 14*d + 14. Let x(f) = 7*f**2 + 3*f - 3. Let s(n) = 3*a(n) + 14*x(n). Let p(b) = 8*b**2. Calculate p(s(j)).\nAnswer: 128*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 + 458 = 5*c. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7878787 and 1862?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5*p + 44 = 7, -5*w - 27*p + 74 = -7*w for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 - 8*h - 20. What is the remainder when f(-3) is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6. Suppose -3*h - h = -60. Suppose -h = 5*n, -5 = -5*f + 5*n - w. Which is smaller: f or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3 + 16483*r**2 + 74137*r + 32948 = 0.\nAnswer: -8237, -4, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1082\/(-68) - 256\/(-16))\/(3\/(-4))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30410, 30220, 30018, 29798, 29554?\n\"Answer: -y**3 - 183*y + 30594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i + 94*i**3 + 17*i + 16*i**3 - 61*i.\nAnswer: 110*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 12 = -5*h + 4*h, -4*r = -4*h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 3*a**5\/140 - 31*a**4\/14 + 64*a**3 + 3072*a**2\/7 + 2*a - 356. Suppose k(v) = 0. What is v?\nAnswer: -2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.39 - 5.39. What is the closest to -2 in 403, 3, 3\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20355*t**2 - 49*t + 50*t + 18641*t**2)*(-1 + 5 - 3) to the form k*t**2 + f + l*t and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66.969 - -0.031. Let q = 426 - 354.1. Let l = q - p. Round l to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*j + 26. Let q be ((-44)\/(-77))\/(4\/j). Solve -q*h - 2*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*g + 30, l - 3*g - 10 = g. Calculate the smallest common multiple of 22 and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -2, 3.\nAnswer: -2, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 167464 = 4*v, 924*v + 83762 = 926*v + 5*c. List the prime factors of v.\nAnswer: 3, 17, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -1\/20*g**5 + 0*g**4 + 0 - g**2 + 137*g + 0*g**3. What is k(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15452003 is divided by 458?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c - 4. Let p(b) = -b**3 + b**2 + 2*b + 1. Let l = 26 + -26. Let x be p(l). Let h(q) = -q + 1. Suppose -2*o = -0*o - 12. What is o*h(i) + x*u(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + -10. Let a = s - -22. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2648 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3964633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1888 = 3*o + 4*j, 2*j = -8*o + 3*o + 3142. Suppose -2*b + o = -750. List the prime factors of b.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 806132666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 1 + 65. What is the lowest common multiple of 12 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 1:45 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvobdobooibibidvi. Give prob of sequence oo.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m\/m**(-5))\/m)\/(m\/m**(-22)))**(-7\/2) assuming m is positive.\nAnswer: m**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - 2*x**3 + 5*x**3)*(x**2 + 0*x**2 + x**2)*(-128 + 217 - 2) - x**5 + 2*x**2 + 3*x**5 - x**5.\nAnswer: 175*x**5 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1875a9 (base 11) in base 8?\nAnswer: -1062734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 6*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -6. Let n = -22 - -20. Let v be 2\/(-4)*n\/(-3). What is the nearest to v in 0, 5, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-9 + -6 + 2 + 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 19. Let i(u) = u**3 + u**2 - u. Let b be i(l). Solve b = 4*d + 4*p - 4, -3*p + 1 = 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -808*a - 253*a**2 + 343*a + 256*a**2 - 618*a - 104*a.\nAnswer: 3*a**2 - 1187*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5020*j = 5198*j + 4450 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -284\/391 or -1?\nAnswer: -284\/391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 709 divide 1193247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76036?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3790949189 and -1?\nAnswer: 3790949188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v**3 - 4*v**2. Let f(c) = -14*c**3 - 7*c**2. Determine -4*f(h) + 7*r(h).\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cocco. Give prob of sequence coo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (124\/(-62))\/(1\/(6\/8))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 21, -32 in decreasing order.\nAnswer: 21, -4, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**3 - 16*c**3 + 4*c**3 + 5*c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53386\/9 + -5930. Let u be 34\/117 + 14\/91. Factor -2\/3*y**2 - 8\/9 + b*y + 2\/9*y**4 - u*y**3.\nAnswer: 2*(y - 2)*(y - 1)**2*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5748)\/12454)\/((-4)\/26)*(-6)\/4.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -0*r - 2*r. What is the greatest common divisor of r and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2 + (-3 + 2 + 2)*(-4 - 1 - 2))*(t + 2*t - 2*t)*(2 - 5 + 0) to the form k + l*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**3 + 63*v**2 - 75*v + 9. Let u(z) = -z**3 - 16*z**2 + 19*z - 2. Let k(s) = -4*h(s) - 15*u(s). What is p in k(p) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60449 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 1029?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdkjpok. Give prob of sequence kk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/16*36*(-4)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51038746.\nAnswer: 2, 11, 2319943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11534913.\nAnswer: 3, 13, 59, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3 - 133877*t**2 - 12976462*t + 26488440 = 0 for t.\nAnswer: -133780, -99, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a day?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 - -1.9. Which is the closest to p? (a) 3 (b) -2 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 11000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -197 + 197. Which is smaller: 4.3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 4 + 1109)\/((-1005)\/67). Is k bigger than -73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -304, -722, -1316?\nAnswer: -2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7820.783 decades to months.\nAnswer: 938493.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-10))\/(11\/(-275)). Suppose 11*j - f*j = 10. Find the common denominator of j and 0 + -3 - (-14)\/(-26).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 - s**2 + 2*s. Let w be y(-2). Let a be (-53)\/(-3) + (-84)\/(-63). Let v = a + -14. Solve u + w = v*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*s + 4*c - 15, 0 = -5*s - 2*c + 11. Let k(n) = n**3 - 6*n**2 + 5*n. Let f be k(5). Suppose -4*r + s + 23 = f. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 2455507 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgg when three letters picked without replacement from {h: 8, u: 2, g: 2, n: 2}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 10*k**7\/21 - 4*k**4\/3 - 24*k - 1. Let o(t) be the first derivative of r(t). Find the third derivative of o(m) wrt m.\nAnswer: 1200*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158590, 317132, 475674, 634216?\nAnswer: 792758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 516060 and 610.\nAnswer: 516060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**17\/t)\/t)\/t)\/(t*t**(-15)))\/(t**(-7\/3)\/t)**(-1\/7) assuming t is positive.\nAnswer: t**(578\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -1369813.\nAnswer: 4109439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -243691, -487402, -731115, -974830, -1218547, -1462266, -1705987?\n\"Answer: -h**2 - 243708*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**3 + 638*q**2 - 322*q**2 - 316*q**2 - 2*q - 4 as c*q**2 + m*q + l*q**3 + k and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 4:14 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**4 + 15*t**3 - 20*t = 0. Calculate t.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81922794 - -81935556.7989. Let g = h - 12813.8. Let t = g - -51. What is t rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4893920 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 26013\/(-3663) - (-416)\/6864?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 2*r - 9 + (2 + 0 - 1 + 3 - 6 - 1 + (0 - 4 + 1)*(-2 - 4 + 4))*(4 - 4 - 3*r).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 13300.\nAnswer: 106400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 109*j**3 - 5*j**2 - 12. Let y(k) = k**3 - k**2 - 3. Give -q(o) + 4*y(o).\nAnswer: -105*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 2:16 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((-3)\/6 - -1)*4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5. Suppose c*u - 3 = 3*s - 9, 18 = -u - 3*s. Let q be (-3)\/u*10*1. Let w(d) = d**3 - 6*d**2 + 4*d + 6. What is w(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-39)*4\/10. Which is the smallest value? (a) -1\/7 (b) y (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2986672, 5973345, 8960018, 11946691, 14933364, 17920037?\n\"Answer: 2986673*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1764 and 27636.\nAnswer: 82908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-6) - 2)*0. Suppose 5*d + 5*i - 35 = t, -2*d - 5*i - 13 = -d. Suppose d = 4*v - 8. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, l: 11}. Give prob of picking 2 o and 2 l.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14929d (base 16) to base 14.\nAnswer: -2714bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 - 951944*r**2\/3 + 226552200589*r\/3 - 453092977922.\nAnswer: (r - 475969)**2*(r - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/2, 1\/34, 560, 2, -1, -0.3.\nAnswer: -21\/2, -1, -0.3, 1\/34, 2, 560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3*(0 + sqrt(1377)) - 1*(sqrt(1377) + 1)))**2.\nAnswer: 72*sqrt(17) + 22033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**4\/60 - 4*d + 2. Let c(s) be the first derivative of z(s). Suppose c(u) = 0. What is u?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 22 - 34. Suppose -a*b + 35 - 7 = 0. Factor -32 - 17*d**b - 152*d + 11*d**2 - 30*d**2.\nAnswer: -4*(d + 4)*(9*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 153 and 217.\nAnswer: 33201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 897320000 to the nearest 1000000.\nAnswer: 897000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5852 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/15 + 10964*k**3\/15 + 15059018*k**2\/15 + 30019432*k\/5 + 44979864\/5.\nAnswer: 2*(k + 3)**2*(k + 2738)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, -81, -279, -477, -675, -873?\nAnswer: -1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 741607072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 7 + 5*l**2 - 4 to the form r + y*l + p*l**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 171.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1726 is divided by 69.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 h when four letters picked without replacement from hohhhhohh?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*n - 32, 2*x - 23 = -2*n + 3*n. Suppose -3*k + x + 0 = 0, k = -3*t + 13. What is the greatest common factor of t and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**3 - 76*r**2 + 98*r - 74. Determine a(24).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 148 - 143. Let x(w) = -w**2 - w + 1. Let v(d) = 2*d**2 - 5*d + 5. What is c*x(k) - v(k)?\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3045406 and -115\/945126.\nAnswer: 27408654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 26*h = 23*h + 19, -3 = -3*h for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60.911 + 0.089. Let s = 60.776 - i. What is s rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {e: 4, o: 2, j: 2, c: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 3*m**2 + 4*m - 3. Suppose a + c = -1, 3*a + 2*a - c = 13. Let v be r(a). Solve -i = -2 + v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000099069 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2\/3 (b) -5 (c) 4 (d) 157\/8 (e) 96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 6:03 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/(-585) + 2*9\/(-117).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14652 - 14638. Let j = 30 - 14. What is the smallest common multiple of j and x?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 62*m - 69*m + 4*m.\nAnswer: -3*m + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*o - 18, 3*f = -3*o + 6 + 3. Suppose o*a = 2*x + 2458, -2*x = -3*a - 3*x + 1477. Suppose 0 = 5*u - 11*u + a. What are the prime factors of u?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 4:14 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, 4, 9212, 1, 0 in increasing order.\nAnswer: -2, 0, 1, 4, 9, 9212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261, 616, 973, 1332, 1693?\nAnswer: 2056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 333 - 11511?\nAnswer: -11167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*18\/60 + (-2)\/2. Let v(l) = 4*l**2 - 4*l + 3. Calculate v(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 40049.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 4. Let r be ((-3)\/2)\/(5\/(-10)). Determine j(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 38. Which is the smallest value? (a) -2\/11 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 1\/3 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1)*19082\/(-7). Suppose -6*f + f = 4*q - v, -4*q = f - 2734. What is q rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1665751 divided by -39?\nAnswer: 1665751\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2282\/(-163)*17\/((-476)\/(-80)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(68))*1.\nAnswer: -2*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -469 (c) 39 (d) 24 (e) -0.1 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 4544\nAnswer: 4544.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34431312 (base 5) to base 4.\nAnswer: -1030002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2639 and 48508213?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 4, a: 2, x: 1}. What is prob of sequence ggc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - y + (1 - 1 - y)*(3 + 1 - 2) - 3 + 3 - y)*(8 + 11381*y**2 + 11370*y**2 - 8*y - 22743*y**2).\nAnswer: -32*y**3 + 32*y**2 - 32*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 12 = 3*v. Let i be -1*24\/(2\/1). Is i bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*j - 10*j - 9*j + 24*j as l + h*j and give h.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137177, 136725, 136285, 135863, 135465, 135097, 134765?\nAnswer: 134475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**24*c*c**(6\/11)*c**(2\/11)\/(c*c**(-15)\/c*c) assuming c is positive.\nAnswer: c**(437\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -86 + (18\/(-6) - -5). Let f = i - -84. Solve -5*h + 4 + 6 = f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-28))\/((2\/(-2))\/(-1)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67607501?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 11:19 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0931484 minus -0.0822?\nAnswer: 0.1753484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/((-360)\/(-27))*(-14)\/21*2479\/(-37)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30171 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2. Let f(i) = 4*i. Let r(a) = -a - 4. Let k be r(-8). Let s(o) = -4*o. Let d(h) = k*f(h) + 3*s(h). Give b(d(c)).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 a, and 1 k when three letters picked without replacement from {r: 8, i: 2, k: 2, a: 1}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26904\/(-513) - -48)*(-11 + 2).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18005946?\nAnswer: 2, 3, 7, 89, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*x**4 - 7*x**2 + 7*x**2 + 2 - 2*x**4 - 2 + 0*x**4 + x**4 + 0*x**4 + (4*x**2 - x**2 - x**2)*(-2*x**2 + 4*x**2 + 0*x**2) - 2*x**4 + 13*x**4 - 6*x**4.\nAnswer: -19*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyfyi. Give prob of picking 2 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**3 + 3*f**2. Suppose 20*n - 621 = 11*n. Let c = 75 - 143. Let b = n + c. Let u(s) = -s**2. Give b*q(j) + 3*u(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 11*b + 26 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**2*j**2 + 4626028*i**2*j + 196*i*j + 39*i + j**2 + 9 wrt i?\nAnswer: -6*j**2 + 9252056*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**2 + j**2 + 3*j**2)*(j - 5*j + 3*j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18692 less than -5816408?\nAnswer: -5797716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*f**3*o - 9939*f**3 - 4*f**2*o - 10438190*o wrt f.\nAnswer: 12*f**2*o - 29817*f**2 - 8*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11023 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/6*(171\/6)\/19.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 0, 3, -6, -1 in ascending order.\nAnswer: -6, -1, 0, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1251 - -11?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*w + 108. Suppose -w*s + 51*s + 108 = 0. Suppose 0 = -6*y + s + 30. Calculate the greatest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476609.\nAnswer: 7, 68087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 3 - 3)*(-p + 28*p + 12*p)*(5*p**2 + 2*p**2 - 5*p**2) in the form c + l*p**3 + q*p**2 + n*p + b*p**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 101?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 4:39 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 35*j + 45 - 296*j - 87.\nAnswer: -331*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141 - -181. Suppose 0 = 3*n - 11*n + r. Solve 12 = -4*v + 4*a, 2*v - 7 = -v - n*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26149836, 52299651, 78449468, 104599287, 130749108, 156898931?\n\"Answer: c**2 + 26149812*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 6. Let u(s) = 3*s + 11. Let v = -4 - -2. Let l(i) = v*u(i) - 5*j(i). What is the remainder when l(6) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -501*l**3 - 4*l**2 + 4*l - 4. Let p(a) = -500*a**3 - 5*a**2 + 5*a - 5. Determine 5*d(m) - 4*p(m).\nAnswer: -505*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*q**2 - 76*q**2 + 4*q + 345*q**2 - 3*q + 0*q.\nAnswer: 524*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 110 and 0.02.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -48*w + 3*w**3 + 52*w - 4*w**2 - 2 - 2*w**3. What is the units digit of p(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1092607 millennia in years?\nAnswer: 109.2607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 + 0.91. Let s = 365.5745 + -364.5745004. Let b = n - s. What is b rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttbkkhkbhctbibb. What is prob of picking 1 i, 1 h, and 1 t?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-26 - (-24 - -22)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 45\/30)*(-4)\/(-33)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1973301855 and -1?\nAnswer: 1973301854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - x - 28 = -9, -x = 3*k - 41. Which is the third smallest value? (a) k (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 + 3*j**2 - 2. Let x be y(-2). Let i = x + 6. Suppose 3*a - 101578 - 36422 = i. What is a rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1334 and -0.305736653?\nAnswer: 1333.694263347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3*x**2 - 3*h**3*x - 49842*h**3 - 7737*h**2*x wrt x.\nAnswer: -2*h**3*x - 3*h**3 - 7737*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 12*h**2 - 3. Determine u(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 925725 = 552*z - 527*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j**3 - 24*j**2 + 21*j + 4. Let r(p) = -3*p**3 + 8*p**2 - 7*p - 1. Let a(k) = 4*q(k) + 11*r(k). List the prime factors of a(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-141)\/((-16)\/(-6)*-9*(-12)\/192)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0615448 or 2?\nAnswer: 0.0615448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 4 (b) -16\/99 (c) -284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/42 and 2\/(-24)*316\/5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x. Let m(n) be the first derivative of n**2 - 3. What is i(m(u))?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4057004381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 28*g + 42. Let c be k(15). Let q(s) = -c*s**2 - 30*s**2 + 2*s**2. Let i(b) = b**2. What is i(q(r))?\nAnswer: 1600*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-16)*k*k**(-8)\/k*k)**42)**47 assuming k is positive.\nAnswer: k**(-45402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4591 - 3268. Suppose -2633 = -4*d + o. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -c?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)*z**(4\/5))\/(z*z**2*(z**7*z)\/z))\/((z**1\/z*z)**(-1\/30)\/((z*z\/(z*z*z\/z**5*z*z)*z)\/z*z*(z*(z*z\/(z*z**(-3\/7)))\/z*z)\/z)) assuming z is positive.\nAnswer: z**(-241\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 + 184 = -14*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 100 = -20. List the prime factors of n\/(-6)*72\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0145 in -0.03, 0.1, -1, -71, 0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**3\/3 + 2*a**2 - a + 729. Let b = 15 - 11. Suppose -b*d = d - 20. What is p(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.77 - -11337950.7.\nAnswer: 11337951.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - q = 55, 4*q + 6 = -2*l + 38. Calculate the remainder when -6*((-29)\/2 + 3)\/1 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10101 is divided by 361?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t**3 + t + 1. Let b = -7 + 15. Let h be (b - 7)*(-1)\/1. Calculate p(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**5 + 33*k**4 + 105*k**3 + 75*k**2.\nAnswer: 3*k**2*(k + 1)*(k + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c**3 + 13*c**2 - 40*c - 129. Determine b(-3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i**2 + 156*i - 474. What is u(3)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2219284968 to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x - 1. Let f be 8\/28 - (-37)\/(-7). Let p = -7 - f. Let o be p\/2 - 6\/(-3). Calculate q(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (12 - 2)) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (75\/6)\/(-5)*-2. Let z(m) = m**3 - 6*m**2 + 7*m + 2. Calculate the remainder when 22 is divided by z(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4. Suppose -2*m - 2*m + 12 = o, c = -4*o - 2*m + 6. Suppose -4*x + 64 + 16 = o. Calculate the least common multiple of x and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10) - -3*(-24)\/(-20). Find the third derivative of -9*t**4 - 19*t**4 + 4*t**2 - 9*t**l wrt t.\nAnswer: -888*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f + 3. Let x(r) = -16*r + 16. Let k(u) = -2*x(u) + 11*z(u). Let d = 0 + -7. What is the units digit of k(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6\/13)\/n*n*n)\/n**1 assuming n is positive.\nAnswer: n**(-6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*j + 2*p, -p - 4*p + 70 = 5*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16341468 divided by 286\nAnswer: -57138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-567)\/162*48\/(-798) - 29\/228?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -2. Let u(h) be the first derivative of -h**2 + 403. Give u(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q + 4. Let d be u(-4). Suppose -2*g + 4*c + 8 = 0, 4*g - d = 2*c + c. What is the remainder when 27 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 10*z**2 - 506*z - 52. Let s be d(-28). Solve -4*m = s*k, 16*m - 5 = 11*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*p - 15. Let u = -3 - p. Let y(j) = -j**3 + 10*j**2 - 2*j + 18. Let r be y(10). Sort u, r, 5 in increasing order.\nAnswer: r, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 18604238?\nAnswer: 2\/9302119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4137.\nAnswer: 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13139*i**2*k**3 + 16*i**2*k**2 - i**2 - 7*i - k**4 + 168*k**2 wrt k?\nAnswer: -78834*i**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1747 (b) 13 (c) 4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3 = -3*o. What is the hundreds digit of (1\/(-5) - o)\/((-4)\/(-2290))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 15*v - 5 = -5*h, 4*h - 20 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*d**2 - 45*d**2 + 38*d**2)*(-d + 5*d - 2*d) + (-3*d + 3*d + 2*d**2)*(2*d + 3 - 3).\nAnswer: -58*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p - 5*r - 25 = 0, -3*r - 15 = -3*p. Solve -5*o + 17 - 7 = p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*(-1 + sqrt(2057)) - sqrt(2057)) + 5)**2*-4*2.\nAnswer: -890976 + 22176*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/13? (a) -3.48 (b) -3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**3 + 5*k**2 + 5*k - 5. Let i(n) = -28 - 2*n**2 - 570*n**3 - 2*n + 30 + 572*n**3. Calculate 5*i(q) + 2*u(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 445071, 445079, 445093, 445113, 445139, 445171, 445209?\n\"Answer: 3*p**2 - p + 445069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83402 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*t = 88, w + 3*t = -w + 167. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40336427.\nAnswer: 17, 2372731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79271201.\nAnswer: 79271201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.13. What is the second biggest value in -3, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 8 - -2 - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(sqrt(686)\/sqrt(2) - (-4 + (sqrt(7) + 4 + sqrt(7) + sqrt(7) - sqrt(7)))**2).\nAnswer: -42*sqrt(7) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -16*d**3 - 2*d**2 + 3*d + 2. Does 29 divide f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 592 = -4*b - 2*w, 4*b + 5*w + 368 = -224. Let l = b - -326. Does 8 divide (-4)\/22 + l\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12118 - -19450. Let o be 11310\/l - (1\/2 - -1). What is the second biggest value in -5, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -755000 to the nearest 10000.\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000105765 rounded to 7 decimal places?\nAnswer: -0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**5\/130 - p**4\/39 + 3*p**3\/13 + 18*p**2\/13 + 142*p. Factor r(k).\nAnswer: -2*(k - 3)*(k + 2)*(k + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84205 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**3*x\/x**6*(x\/(x*x\/(x\/x**(-1)*x))*x)\/(x\/(x*x**6)) assuming x is positive.\nAnswer: x**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*g - 421 = 9445, -14822 = -6*x + 4*g. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -2\/5 (b) -4\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**3\/3 - 3*n**2\/2 - 3*n + 3. Is a(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2030, -2032, -2036, -2042?\nAnswer: -2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**2 - 5*a**2 + 79 + 81 - 3*a**3 + 2*a + 80 - 246 as g + r*a + j*a**2 + i*a**3 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/35 and (-261)\/(-15)*72\/1188.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21481111 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8583 + 8577. Put 12, c, -2\/7, -3 in increasing order.\nAnswer: c, -3, -2\/7, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -32*i**2 - 113*i - 3. Is x(-2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**3 + 7*w**3 + 5*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 386679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/3*1\/(-2). Suppose -224 = -h*k + 130. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-2260.4327\nAnswer: 904.17308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 1:00 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -14811?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 + 85 + (56 - -30)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 120.52 and -8.3?\nAnswer: -1000.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221460 and 61080?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 37*o**2 + 361*o + 36. Is 166 a factor of t(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from werwryewwwxw. What is prob of sequence wye?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 80 or 79242\/997?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -29 (c) -0.7810009 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = g + 79, -5*k + g = 4*g - 127. Suppose -5*y + 111 = k. What is the remainder when 46 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -7. Let g(f) = f**2 + 8*f - 6. Let m be g(1). What is the closest to d in m, 1\/9, 4\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkjj when four letters picked without replacement from jjjjrrkskssjs?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1623373600 + -1623374035.00001216. Let t = h + 435. Round t to 7 dps.\nAnswer: -0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:12 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 20 = -0*c. Let f be (-120)\/(-420) + (-1)\/((-21)\/57). Put f, -1\/3, c in ascending order.\nAnswer: c, -1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, r: 9}. What is prob of picking 2 r?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2062554472 - 1?\nAnswer: 2062554471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -13670, 4, -3, 3\/2?\nAnswer: -13670","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*n - 48*n = 4*h - 52, 0 = -8*h + 70 + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006275963 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284854.\nAnswer: 2, 142427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1012227.476 to the nearest ten.\nAnswer: -1012230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g = -20*g - 20*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3979 + 17966. Suppose -w - m = -i - 6*w, -2*w + 41987 = 3*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/8)\/(r\/r**(-2\/21)) assuming r is positive.\nAnswer: r**(-247\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13377 and 10920.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - 5*k. Let b(m) = -m - 1. Let h(t) = -2*b(t) + v(t). Suppose 0 = -q - 2*q + 15. Suppose 3*f = -3*n - 9, f + 3 = q*n - 0. Give h(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(-3))\/(2 + 5 + -4). Suppose y + k*y - 12 = 0. Suppose 0 = x, -x = 4*s + s. Solve s = 3*q - 0*q + y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4516994119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 divided by -1.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 699 - 791 = -5*z - 3*v, -2*z = 2*v - 32. Let t = 154 + -47. What is the remainder when t is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 7. Suppose -x*g + 78 = -3*t, -4*g + g + 5*t = -64. Suppose -3*m = -123 + g. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 10:27 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -207, 10, -5, -348 in increasing order.\nAnswer: -348, -207, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 0*p + 2\/5*p**2 - 1\/5*p**3 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*2*(-1770)\/(-4425)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/17 (b) -1\/6 (c) 4 (d) 0.2 (e) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m + 26*m + 2 = 0, -2 = -2*f + 4*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 - -56. Let u(i) = i**3 + i**2 + 1. Let o be u(j). Solve 5*v + 17 = -2*h, 0 = -4*h - v - 4 - o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*(0 + sqrt(475)) + 6*sqrt(1900)*-2*-6)**2.\nAnswer: 7150*sqrt(19) + 9713300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w\/(w*(w\/(w*w\/w**(-2\/5)))\/w)*w))))**(-4\/31)*(w\/(w*w**(-4)*w*w*w))**(-37) assuming w is positive.\nAnswer: w**(-5687\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 120*-0.5\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1765*x + 9 - 495*x**2 - 9 + 471*x**2.\nAnswer: -24*x**2 + 1765*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2904506 to the nearest integer?\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -915, -913, -909, -903?\nAnswer: -895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12507894 and 3.\nAnswer: 37523682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*q + 28. Suppose -q*l - 36 = -8*l. Solve -2*p = -c - 9, 4*c - 3 = -4*p + l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -100120032023?\nAnswer: 100120032023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157937 + -38820. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 0.4. Let y = 100.52 - 102. Let b = y + -1.52. What is the closest to 0.4 in w, 1\/3, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2565209?\nAnswer: 19, 79, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 80, 87, 96, 107, 120, 135?\n\"Answer: m**2 + 4*m + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 15470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1200*h - 1199*h - 885 = 0. What are the prime factors of h?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 6*d - 2*d - 12, 0 = 3*c - d + 13. Let r = -37.5 - -38. What is the smallest value in r, -2\/5, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - -5 - (-3 + 0). Suppose -3*c + 4*c = -2*v - 3, l = -3*v - 2*c. Is v equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10679 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*l = 24, -f = -0*f + 4*l - 15. Suppose -y = 3*n, 4*y = f*y + n. Solve y = -s - 0 - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2, -8194?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -22*(-10)\/100 + -3. Let n(z) = -2*z + 2. Let r be n(3). What is the smallest value in -7, k, r?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81\/36 - (-5)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 262254850 and 73788?\nAnswer: 1573529100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1212785\/4211 or 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/10 + (-66)\/(-10). Let s(u) = u**3 - 7*u**2 + 5*u + 8. Let z be s(a). Suppose 3 = -2*m + q + 18, -2*q = -z. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4088 + 25305. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 1)*(c**3 + 0*c**3 + c**3 + (-2 + 2 + 5*c**2)*(3*c - 2*c + 0*c) + c**2 - c**2 + c**3).\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*h + 1221515, 4*w + 24 = 4. What is h rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150 is divided by 156.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*h + 17 = -2*c, -c + 8 = h. Let j be 42*4\/c*2. Let d = j + -65. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, n: 1, k: 4, l: 1, p: 4}. What is prob of picking 1 k and 1 r?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/1134 and 163\/302778.\nAnswer: 302778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 2*c**2 + 82*c - 37. Let b be k(10). Let o(j) = j**2 + 8*j + 9. Let q be o(-6). What is the closest to 1 in b, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 9:45 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51128 divided by 308.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 5*g**2 - 4*g - 3. Let x be u(6). Let j(q) = 0*q**2 + q**2 - 4 - 6 + 11 - x*q. Calculate j(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**3\/3 + 2117*r. Let h(z) = -4863*z. Determine k(h(a)).\nAnswer: -9726*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/3)\/((-57)\/456)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12166542?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 11. Which is the closest to -3\/7? (a) o (b) 3\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000 - 100?\nAnswer: 1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117.0114 + 2.1414. Let c = 113.893 + 0.107. Let t = c + i. What is t rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than or equal to -88\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*g**3 + 83*b*g**2 + 6768*b*g - b - g**3 - 2085*g**2 + 157 wrt g.\nAnswer: 12*b*g + 166*b - 6*g - 4170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2 - 9*z - 4. Let s(w) = -3*w**2 - 8*w - 3. Let r be -2*10\/8*-2. Let f(j) = r*s(j) - 4*c(j). Give f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 227 + -223. Let l(d) = -3 + d**2 - 5 + 3. Let k be l(-5). Calculate the highest common divisor of o and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-20)*(7392\/196 - 39).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3810 is divided by 322.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -253\/6. Let w = -5.2 + 1.9. Let s = -3 - w. What is the closest to 1\/3 in o, -0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74258 = -5*y + 48*i - 52*i, -2*y = 4*i - 29720. What are the prime factors of y?\nAnswer: 2, 13, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 383.5, 9.5, 0.08, -10?\nAnswer: 383.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 10:40 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 171 and 19.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.22 - -3.22. Let i(z) = z**3 + 2*z**2 - 5*z + 3. Let u be i(-4). Let k be (1\/u)\/((-3)\/6). Which is the closest to k? (a) 1\/7 (b) -2\/15 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 q, and 1 a when three letters picked without replacement from {q: 2, h: 2, a: 1, w: 4, r: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, d: 2, r: 1, a: 1, b: 1, h: 2}. What is prob of picking 1 b and 1 a?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -u - 0*u. Suppose 0*t - 3*t - 4*m = -52, u*t - 44 = -2*m. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 5 (b) 0 (c) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1067 = -30*k - 47. Suppose 4 = k*n - 30*n. Which is greater: n or 334?\nAnswer: 334","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4578 * -1.982.\nAnswer: 0.9073596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -3*h**2\/2 - 12*h + 8. Let w be k(-5). Let g(r) = 2*r. Let z(c) = c - 1. Determine w*z(x) - g(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 1\/12*f**4 + f + 97*f**2 - 16\/15*f**5 + 0 - 41\/6*f**3. Differentiate i(n) wrt n.\nAnswer: -128*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (38 - 2)*7\/14. Suppose 4*v - 3*v - x = -3*b, 4*v - 127 = -b. What is the highest common divisor of 22 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzsi when four letters picked without replacement from {h: 3, s: 6, i: 3, m: 2, z: 2}?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 5474*v - 5474*v. Let o(w) = -2*w - 3*w + 29 + 2*w - 11. Give o(m(n)).\nAnswer: -3*n**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*x = -a + 48, -a + 4*x = 0. Suppose 0 = a*l - 9*l + 3. Does 3 divide 0 + ((-12)\/(-3) - l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182827 divided by 13.\nAnswer: 182827\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/((-54)\/6423) + (-6)\/(-36) is divided by 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9\/7 + 59\/35. Let d be 2\/4 - 1\/(-2). Which is greater: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9781.555 decades in millennia?\nAnswer: 97.81555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 4:17 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4180630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4103 (base 6) to base 10.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 + (-1755)\/(-150))\/((-51)\/2465). Let d be ((-1)\/3)\/((-19)\/(-6)). Sort n, -5, d in increasing order.\nAnswer: -5, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.016 (b) -1\/5 (c) 0.287\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) 0.06 (c) 3854 (d) -4 (e) -0.063\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4595272*-0.9\nAnswer: 4135744.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/4)*u*u)\/u)**40*(u**(-2\/5)*u)\/(u**(1\/2)*u) assuming u is positive.\nAnswer: u**(291\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a century in decades?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 12:15 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -194012, -388032, -582050, -776066?\n\"Answer: b**2 - 194023*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/2*231\/55.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6057 and -4.\nAnswer: -6061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 19*y = 30. Let v = 24 - y. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**6\/120 + x**5\/30 - 5*x**4\/12 - 11*x**3\/6 + 2*x**2. Is s(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1364 = -4*f + r, f - 4*r - 273 - 68 = 0. Does 31 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*u + 4 = 0, -3*a = -130*u + 129*u - 2. Solve 61*q = 66*q + 5*b, 20 = -2*q + a*b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175\/(-100)*(-5)\/((-50)\/20)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*1*sqrt(891))**2.\nAnswer: -128304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144*u**2 + 4*u + 8?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - 2*sqrt(1176))\/((sqrt(72)*2 + sqrt(72))\/sqrt(6) + sqrt(12)).\nAnswer: -13*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2485 + 6589 = 19*v. Calculate the remainder when 2586 is divided by v.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94 + -103 - -8*2\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b*i**3 + 1550*b*i**2 - 28*b*i - 1961*b - 37*i**3 - i**2 + 2*i + 4 wrt i?\nAnswer: 24*b*i + 3100*b - 222*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 18 = 18*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23260 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 4*j**2 + 4*j - 10. Let w be r(-5). Let p(x) = 6*x + 9*x**3 + 3 - 9 + 0*x. Let c(v) = 8*v**3 + 5*v - 5. Give w*p(m) + 6*c(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + z + z)*(8 - 8 + 10*z)*(-1 + 1 - 5).\nAnswer: -100*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from {j: 6, a: 3, e: 1, c: 1, q: 2}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 0.214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*d**2 + 2951257573336 - 2951257573336.\nAnswer: -74*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -28336 * 0.2\nAnswer: -5667.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 2*p**2 + 49. Let a(m) be the third derivative of -1\/12*m**4 + 0*m + 0 - 4*m**2 + 0*m**3. Give 3*a(t) + 2*c(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.22*2.17\nAnswer: -0.4774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -23 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -353b + 19baa?\nAnswer: 1666b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + (-27 + 60 - 12).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3205593, 3205684, 3205775, 3205866, 3205957, 3206048?\n\"Answer: 91*y + 3205502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**4\/4 + 35*i**3\/12 + 97*i**2\/8 + 11*i\/2 - 236. Suppose j(h) = 0. Calculate h.\nAnswer: -2, -1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.269699\nAnswer: -0.0539398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17120.1 and 4.\nAnswer: -17116.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 5*y + 11 = 0, 2*n - 14 = -3*n + 3*y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -16. Let d be 3\/9 + 136\/24. What is the lowest common multiple of 20\/d*24\/4 and s?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-29)\/u)*u)**(1\/22)\/(u*u**(-2\/15)*u**(-10)) assuming u is positive.\nAnswer: u**(1747\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*i + 4\/3*i**2 + 0.\nAnswer: 4*i*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/9 + 2066*n\/9 + 4156\/3.\nAnswer: -2*(n - 1039)*(n + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1 + (1 - 1 + 1)*(1 - 2 + 0) + 1 - 3 - 4 + 5 - 1 + 2)*(-5 + 2*i + 5)*(4*i + 2*i - 5*i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 10*z**2 - 12*z + 101. Calculate o(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - l**2 - 1)*(-6 + 6 + 9 - 2 - 3 + 4 + (0 - 1 - 1)*(4 + 0 - 3) + 1 - 3 + 1) as i*l**2 + q + n*l and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 2*s**7\/147 + s**6\/21 - 5*s**4\/42 - 2*s**3\/21 - 5*s. Find r, given that g(r) = 0.\nAnswer: -2, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + f. What is the remainder when 17 is divided by c(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 25036.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 57.123 and 425.72?\nAnswer: 368.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/144358119 and -49\/18?\nAnswer: 288716238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/16*4\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 3*x - 1679*x**2 + 153*x**2.\nAnswer: -1526*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 13. Let k be l(10). Find the common denominator of 41 and (2\/(-24))\/(k\/(-92)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.055102 + -0.055. Round a to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7552983 - s + 7552983.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/24 and 151\/618?\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 4:08 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1240 - 971. What is the remainder when 1343 is divided by w?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w + 2*w)*(-2*w + 3*w + 0*w + (0 + 0 - 1)*(2 - 2*w - 2) - 2*w + w + 3*w + (1 - 2*w - 1)*(-3 + 2 + 0) + 0*w - 2*w + 4*w).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 1241?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/8)*p)\/p**(-2\/11)*(p*p*(p\/(p\/(p**(-8)*p)*p))\/p)\/(p\/p**(2\/3)) assuming p is positive.\nAnswer: p**(-1657\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/((-65)\/390). What is the closest to 0.6 in -0.12, 5\/3, p, 3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13169 + -0.2.\nAnswer: -13169.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/18)\/5 - (-2)\/(-6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 149223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 82047, 164091, 246135, 328179, 410223?\n\"Answer: 82044*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-21) - 6\/(-14))\/((-49)\/(-14))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.5, 4, -5, 61?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3 - 3. Suppose -z*i + 0*i = -36. Solve -i = 5*d - d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010111 + -110001?\nAnswer: 1100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16534 = -1621*q - 45064 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7 = 359. Let a = s - 120. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 2011*t - 139738. Calculate i(72).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 8*v. Let p be d(-8). Suppose -2*j - 3*j - 20 = p, -1456 = -3*b + 4*j. Let z = b - 1043\/2. Find the common denominator of 63\/8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h**3 + 5*h**2 + h - 3. Let a(z) = 4*z**3 - 2*z**2 + 1. Let c(f) = f**2 - f + 4. Let p be c(3). Let x be (-2)\/4 + 25\/p. Calculate x*i(j) + 5*a(j).\nAnswer: 2*j**3 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 117*n - 1160. Give l(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0 + 3. Let m be (3\/18)\/(d\/18). Let s be (-1 + (2 - -44))*m. Solve 4*z + 1 = 3*g - 0*z, -5*g = 5*z + s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n. Let j(l) be the second derivative of l**4\/6 - 4*l. Calculate k(j(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 9:55 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 4:50 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 3*i + 2. Let r be u(-3). Let k = -13890 + 13900. Differentiate -s + s + k + r*s**2 + 9*s**2 with respect to s.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11314a + -4?\nAnswer: -113150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/28)\/(4\/168). Suppose 5*t - 35 = 30. Solve -5*w + t = -b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*d**2 + 89 - 89 - 19*d**2.\nAnswer: -347*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from pkkppppzfppflpjppfl.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from jikjkkjdddijkkdjkik?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {u: 12, g: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2772738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375286 and 806.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l**2 - 3*l + 1. Let p(m) = 5*m**2 + 4*m. Let a(u) = 4*k(u) + 3*p(u). Let a(f) = 0. What is f?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, a: 4, t: 2}. Give prob of picking 1 a and 1 t.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.84 - 7.7. Let a = 0.14 - y. Which is greater: 0.026 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 l, and 1 g when three letters picked without replacement from {v: 1, w: 1, g: 9, l: 5, j: 1}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 208493, 208481, 208461, 208433, 208397?\n\"Answer: -4*l**2 + 208497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**5\/10 + 2*z**4 - 71*z**3\/6 + 14*z**2 + 72*z + 377. Factor j(c).\nAnswer: -(c - 9)*(c - 4)**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15679.3 - 15678.3. Let x = 4.1 - 0.1. Sort 2, x, o, -2 in increasing order.\nAnswer: -2, o, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + h**2 + (23*h**2 + 26*h**2 - 36*h**2)*(-4 - 6 + 4))*(11*h**2 + 6 - 13*h**2 - 4).\nAnswer: 154*h**4 - 154*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*h = 2*y - 24, 0 = -3*y + 3*h - 6. Suppose y*u - 65 = -33. What is the lowest common multiple of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*i + 26 = 0, -i - 10 = -3*i. Solve -b + 4*w + 19 = 0, 0 = -3*w - z - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 3:13 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*a - 43*a - 282208 = 3*s, s = 2*a - 282204. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 60 = 45, 7885 = -4*n - 3*r. Let y = 3155 + n. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-23) assuming f is positive.\nAnswer: f**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 2*c**2 + 3*c. Let d be t(3). Let y be d\/(-2) - (-2 - 2). Let m be ((-9)\/12)\/(-3)*y. Is -1\/12 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 2:03 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34373?\nAnswer: 37, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2. Let q(z) = 16*z - 6. Let u(d) = 31*d - 11. Let b(s) = 11*q(s) - 6*u(s). Give b(x(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*s - 12881 = 643*s + 3167 + 1496 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 18 = -3*g, 6 = x + g - 2. Let d be ((-4)\/x)\/(2\/(-30)). What is the greatest common divisor of d and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o + 23. Let j be r(-7). Let v be (5*j)\/(-2*6\/(-1194)). Suppose v = 5*g - 275. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/3471 - 4081856\/17355. Let f = -236 - o. Let j be 4\/(-14) + (-84)\/49. Is f >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-9)\/90*(-5 + 4)*60.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = z + 66, t - 4 = -2. Let f = 32 + z. Let c = 141 + f. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*u + 5*u + 25*u as k*u + h and give k.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zubf when four letters picked without replacement from {j: 2, d: 3, b: 1, z: 5, f: 1, u: 1}.\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 4 + 0*i - 1\/2*i**2. Let r(u) = 14*u**2 - 3*u - 3. Let l(h) = 43*h**2 - 8*h - 8. Let w(s) = 3*l(s) - 8*r(s). Give y(w(m)).\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(-1))\/h)\/h)\/(h\/h**(5\/6)))\/(h**(6\/5)*h\/(h*h*((h\/h**(2\/5))\/h)\/h)) assuming h is positive.\nAnswer: h**(-53\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57a1183 (base 11) to base 13.\nAnswer: 213a335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.49 - 0.01. Let g = -11711 - -11711.2. Which is the fourth smallest value? (a) t (b) -4 (c) g (d) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16*(9\/(-12) + 1). Let o be (y*-120)\/((-3)\/(-8250)). Round o to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/5 (b) -4429 (c) 4\/19 (d) -2 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 84*o - 69. Let k be w(1). Solve 0 = -12*y - k - 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -21*m + 30. Give y(-3).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyoygdoogdooggd. Give prob of sequence dg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 2*p**3\/3 - 5*p. Let g(y) = -2*y**2. Give g(h(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(396) - sqrt(396))**2 + -1.\nAnswer: 3563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 220 - -14. Is 26 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 681.\nAnswer: 10\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - -12) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2\/15 - 739198*r\/15 + 24640.\nAnswer: -2*(r + 184800)*(2*r - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (4 + -5))*508. What is the remainder when 40 is divided by f\/(-24) - 2\/12?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1616213 (base 7) in base 2?\nAnswer: 110110011101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97372 or 97395?\nAnswer: 97395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3651*h - 138725. Calculate n(-38).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 4*q + 404, 2206*q - 2213*q = 2*b - 278 for b.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146293 by 251.\nAnswer: 146293\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 2*l + 6*l)*(-11 + 7 + 0)*(2*l**2 - 2*l**2 - l**2).\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313078 is divided by 5132.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllqllq. What is prob of picking 1 l and 2 q?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**3 - 51285*f**2 - 564800*f + 616080 = 0?\nAnswer: -12, 1, 10268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - -15*(-2117)\/(-365).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 10:34 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00071 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**5 - 80*u**4 + 260*u**3 + 1040*u**2 - 5120*u + 5120 = 0.\nAnswer: -4, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15396726.\nAnswer: 2, 3, 19, 135059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -2\/7 (b) -1 (c) -3\/5 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r + 17 - 57 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 at least 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -845?\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c - 6. Let f(m) = -3*m + 3. Suppose -20 = -2*l + 2*k, 3*l = -2*l + 2*k + 35. Determine l*f(p) + 2*g(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3878416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((45\/(-10))\/(-9))\/2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3539 + -10615\/3. Let r(l) be the first derivative of 5\/9*l**3 + 1\/2*l**2 - u*l + 13. Find d such that r(d) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 11:10 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121058003.\nAnswer: 11, 17, 223, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 + 2*i - 6. Let q(f) be the second derivative of 1\/3*f**3 - 1\/6*f**4 - 5\/2*f**2 - 2*f + 0. Let z = -17 - -20. Calculate z*v(m) - 4*q(m).\nAnswer: -m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 6 + 16 - (239 - 239)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {m: 9, h: 1, g: 2, t: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1406499 is divided by 10655.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 6 + -78 + 36.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*u - 6. Solve 0*g + 10 = -u*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/36896 and -26\/7?\nAnswer: 258272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-92)\/10 - 2\/(-10). Let o be ((-160)\/(-6))\/((-11)\/660). Let r be n\/(((-42)\/o)\/7). Round r to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631745 a multiple of 395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3511, -6959, -10407, -13855?\n\"Answer: -3448*t - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - -1e9?\nAnswer: 1dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and (4 - 1) + 7 + 1.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.7. Let d = -9 - -9.03. Let c = 0.07 + d. What is the biggest value in c, w, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3283 + 3499. Suppose -48 = -3*y + 33. Calculate the highest common factor of m and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7502c + -8?\nAnswer: -75037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eiiiirkkkineirrkrrni. What is prob of sequence nkk?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-110))\/((702\/(-18))\/29172).\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*-3*(-5)\/30 - -2. Let i = -11 - -7. What are the prime factors of -2*v + (-356)\/i?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -37. Let r(u) = 1 + 6 + u + i*u**2 - 5. Does 9 divide r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 544, 8, -3 in ascending order.\nAnswer: -3, 1, 3, 8, 544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 8 = -10, -z + y + 16 = 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231573267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4374 - 2841. Let f = -18385\/12 + q. Calculate the common denominator of -7\/114 and f.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1644*j*z**3 + 223846*j*z + 8*j + 2764*z**4 - z**2 wrt z.\nAnswer: 9864*j + 66336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 o when three letters picked without replacement from {y: 3, o: 2, u: 1, z: 2, d: 3, k: 4}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/72762 and 97\/804.\nAnswer: 145524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by -8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100230201 - 3?\nAnswer: 100230143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*x + 2*m - 5, -m = 2*x - 9. Solve 3*b + 0*b + x = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)\/p)**(2\/17)\/(p**(2\/9)*(p*p**8)\/p*p)*((p\/p**(-2\/19))\/(p\/(p*p*p**11*p)))**11 assuming p is positive.\nAnswer: p**(423665\/2907)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-5) + 3\/15. Suppose -3*f = -a*f + 3, 4*s - 55 = 5*f. What is the highest common factor of 25 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 12*r**2 + 18*r + 17. Is a(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 6*t. Let c be g(-5). Put -3, -2, c in descending order.\nAnswer: -2, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -8c?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6048 is divided by 1207?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*b - 6, -2*o + 6 = 2. Let g = 96 + -92. Let i = b + g. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 18 = -d + 3, -d = -3*m + 10. Let k(y) = 4*y - 17. Let b be k(m). Does 6 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 236056 and 1064?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 439800?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001364 rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160776?\nAnswer: 2, 3, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1110100000100111110010 (base 2) to base 3\nAnswer: 21011020121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 3267.49\nAnswer: 1633.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 159\/(-33) - (-3 + (-175)\/(-55))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.45? (a) 1 (b) -2 (c) 0.2286\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2.2 (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*j**3 - 4*i**2*j - 4*i**2 + i*j**3 + 575*i*j + i - 3053*j**4 + 1 wrt j?\nAnswer: 12*i**2*j + 6*i*j - 36636*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*d**3 - 114200*d**2 + 160537465*d + 7115856935.\nAnswer: 5*(d + 43)*(2*d - 5753)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35.98 + -15.72. What is the nearest to b in -8, 0.1, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00411 rounded to four dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.1 (b) -15 (c) -0.172 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 6*g + 9. Let q be l(5). Suppose 2*r + 2 = r, 0 = -2*c - 2*r - q. Suppose c = -21*s + 13*s + 1376. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.164 (b) 1\/6 (c) 6\/919 (d) 0.04 (e) 0 (f) -2\/15 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 3*c + 829. Is y(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*l**3 + 43*l**3 - 3*l**4 - 18*l**3 + 0*l**4 - 144*l**2 wrt l?\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.022 rounded to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-60))\/(1\/2). Let l = -1 + 0. Which is the closest to z? (a) 0.4 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3))**(-2\/11))**5\/(x**0\/(x\/(x**(-1)*x))*(x\/(x\/x**5))\/(x\/((x\/((x\/x**(-2))\/x))\/x*x))) assuming x is positive.\nAnswer: x**(-86\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -78*l - 36. Suppose -24 = 5*x + 6*p - 3*p, 3*x = -p - 12. What are the prime factors of d(x)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine sixteenths of a week?\nAnswer: 5670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d**2\/3 - 14*d\/3 = 0.\nAnswer: 0, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1026*k - 96628 = 121*k + 1080*k - 255*k for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -2*y - 0*v + 4*v, -3*y - v = -103. Calculate the least common multiple of 224 and y.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 + 0.53. Suppose y = -1 + 2. Suppose 2*v = 3*v + y. Which is the biggest value? (a) n (b) v (c) 0.1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*i + 21280 = 0, i + 3831 = 3*o - 8935. Does 37 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -1.43.\nAnswer: -10.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.3278 * 3395.06\nAnswer: -1112.900668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 - 2 - (18 + -22). Is 4 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c9 (base 13) in base 8?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -775166 - 4?\nAnswer: -775172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/((-6)\/27))\/(6\/(-4)). Suppose -4*m + 89 = y, m - 2*m + 83 = y. What is the third derivative of 0*k**p - 45*k**2 - 40*k**2 + y*k**2 - 6*k**6 wrt k?\nAnswer: -720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 76*l**2 - 30*l - 14. List the prime factors of m(78).\nAnswer: 2, 7, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -10*r + 290. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163388.\nAnswer: 2, 3, 67, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 0.5 (c) 0 (d) 41963 (e) -5\/6 (f) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44226\/4563*52\/(-8).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-11) - 8\/44. Let x(t) = -1. Let u(l) = l**2 + 12*l - 15. Let d(y) = m*u(y) + 2*x(y). Is 12 a factor of d(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2803 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*d + 2*b + 272, 0 = -4*d + 3*b + 222. Suppose -49*s + d*s = 15. Solve -s*t + t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78582875?\nAnswer: 5, 7, 89809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2846597 to the power of 1\/2, to the nearest integer?\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26624?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22627821 (base 9) to base 7\nAnswer: -162341551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 3*l + l - 3*l to f + s*l and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 1526.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 14. Let u be m\/(-9) - 7\/(-3). Let p(f) = -2*f**2 + 1 + u*f**2 - 12*f + 12*f. Give p(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 35*s**3\/3 + 2546. Let g(m) be the first derivative of -m**2 - 2. Calculate g(l(z)).\nAnswer: -70*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 414.56 + -414. Let o = -2.56 + j. Let s = -78 + 230\/3. Which is bigger: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 15*t**2 + 46*t - 770. What is n(14)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5.8. Let d = 1.02 - 1.12. Suppose -14 = 2*t - 6. Which is the nearest to -2\/7? (a) t (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 5*g + g)*(4*g**3 - 3*g**3 - 2*g**3) + 0*g**4 - 3*g**4 + g**4 + 4*g**4 + g**4 - 6*g**4 - 3*g + 3*g - 2*g**4 + 352 - 23*g**4 + 100*g**4 - 79*g**4.\nAnswer: -6*g**4 + 352","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1323 and 19110411?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28, 67, 132, 235, 388, 603, 892, 1267?\n\"Answer: 2*w**3 + w**2 + 22*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15552 and 126060?\nAnswer: 163373760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Suppose 2*l = -u*l + 4. Suppose -3*n + 10 + l = 0. Is 4 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**0\/t)\/t)**39)**(-11\/5)\/(t*t\/(t**4\/t)*t*t**1*(t*(t*t\/(t*t*(t*t**(-2))\/t*t))\/t)**49) assuming t is positive.\nAnswer: t**(608\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + 5 + (0 + sqrt(684))**2 + sqrt(684) - (sqrt(152) + (sqrt(152) - ((sqrt(152) + sqrt(152)*2)*-4 - sqrt(152))))\/(2*sqrt(72)))*3.\nAnswer: 21*sqrt(19)\/2 + 2074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 132821059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2557*n + 104156 + 49264 for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/11 - 18572*g\/11 + 168670 = 0. Calculate g.\nAnswer: 101, 9185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2244.1 - 0.09.\nAnswer: -2244.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 347*y. Let a(i) = -i + 9. Determine a(p(s)).\nAnswer: -347*s + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -15*n**2 + 4*n + 21*n**2 + 1 - 2*n**2 - 8. List the prime factors of i(-6).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 + -85.9. Let z = -16.5 + y. Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*d - 2*d**2 + 106882 - 106879 + 4*d**2 to the form h*d**2 + p + u*d and give u.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-8)*4\/(-6) + 2. Let z be 160\/60*(3\/(-2))\/x. Put -1, 4, 3, z in increasing order.\nAnswer: z, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (44 - ((-8 - -18) + -14 + -2 + -2))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 2:48 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1672 + -1841. Which is bigger: -170 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6\/5)\/c**(10\/3))**(-28) assuming c is positive.\nAnswer: c**(1904\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -300 - -671. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 9 + 1 = 0. Suppose -k*l - 2*l + 24 = 0. Solve 0 = a - l*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 189.1 + -188.6. What is the third biggest value in 1\/9, t, 10, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 7*k - 6. Let h be u(6). Let r = 5.2 + -5. Which is the nearest to 1? (a) 5 (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3) - (sqrt(3) + (sqrt(3) + 1)*5)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 1. Let a be 2 - (9 - (4 - 2)). Let i be j(a). Determine f, given that -43*f**3 - 4*f**2 + 49*f**3 + f**4 - 3*f**i = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3005.\nAnswer: 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -32. What is the units digit of 82 + h\/((-20)\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70329 is divided by 791.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*m - 7. Let p(f) = -21*f**2 - 4*f - 7. Let r be p(m). What is the tens digit of 4\/22 + r\/(-77)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2 - 8. Suppose p + g = 5*h + 9, -1 = -3*p - 5*h. Let a be 9\/30*10\/4. Which is smaller: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/124 + -29\/248. Let j be (-454)\/112 - 35\/490. Let d = 29\/8 + j. Put k, -1, 0.8, d in increasing order.\nAnswer: -1, d, k, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 + 132*o + 257. Let s be r(-2). Suppose -2*d = -0*d - 8. Let m(w) = 7*w - 6 - d*w - 1. What is m(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-1\/8)*z)*z**(2\/3))**1*((z*z\/z**(-3)*z)\/(z*z**(-4\/5)\/z))\/((z\/((z*z\/z**(-2\/3))\/z)*z)\/(z**(-4\/7)\/z)) assuming z is positive.\nAnswer: z**(3937\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 - 5*r**2 - 2*r**4)*(-2*r - 2*r + 2*r + (0 + 0 - 1)*(r - r - r) + 3 - 3 + 6*r).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/9*3 - (-1003)\/177. Suppose 5*b = -2*x + 1316, -3*b = -q*x - 692 - 110. What is the greatest common divisor of 24 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 401995450 and 27650?\nAnswer: 3950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 15 = 4*o - 0*o, 0 = b + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n - 1 - 63\/8*n**4 - 109\/12*n**3 - 9\/2*n**2 - 49\/20*n**5. Suppose v(z) = 0. What is z?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256369, 256364, 256359, 256354, 256349?\nAnswer: 256344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -29*p - 7. Let l be 16\/(-6) - 124\/(-186). Give i(l).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.01 (b) -0.3 (c) 0.06 (d) 543 (e) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34)\/(-52) + (-9)\/18 + (-102)\/156. Which is the biggest value? (a) m (b) -11 (c) 4 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, u: 2, f: 6, w: 2}. What is prob of picking 1 k, 1 w, and 1 u?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0507339ml in litres?\nAnswer: 0.0000507339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 108903750\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + 3*n + (2*n + 3 - 3)*(-55 + 70 + 71) + 2*n - 2*n + n)*(2*n - 2 + 2).\nAnswer: 348*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-5)*5*1. Let t(v) = 2*v + 3. Give t(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212012 - 11210?\nAnswer: 1200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 17 - 3*z + 9 - 17 + 19. Give u(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 17*o + 41. Suppose 31 + 7 = -2*c. Let b be s(c). What is the remainder when (-620)\/(-10) + (-1 + -11)\/b is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/4 - 6628*o**2 + 344517*o\/4 - 397485\/2.\nAnswer: (o - 26499)*(o - 10)*(o - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkqfqzqqkkqzkkqcqqk. What is prob of picking 3 k and 1 z?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515718 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 greater than or equal to 316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 5)\/(-1 - 0). Suppose i = -3*j + 3 + 39. Suppose 0*o = o - j. Solve 4*k = 4*r + 4, 0 = 2*r + 2*k - 4 - o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -6.4139?\nAnswer: -6.4139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 - 3392758492\nAnswer: -3392758492.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/40 - 2\/(-8). Let b be (6\/15)\/(6\/60). Suppose -3*m + 6*m + 3 = 0, -1 = -5*k - b*m. Sort a, 3, k in descending order.\nAnswer: 3, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 300 (b) 0.4 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2 (b) 0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*w + 3537 = -653 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2265)\/(-43488)*3\/15*3.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -16884*j + 4170274. Calculate s(247).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1297 and -1149.52.\nAnswer: 147.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 410.\nAnswer: 409.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 3*p + 7868. Suppose 0 = -4*k - 5*t + p, t - 985 = 3*k - 5*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*d = -49*d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.459 * -2.\nAnswer: -40.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 164?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 6*x**2 - 2*x + 108. Determine v(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1281*q**2 + 203695*q - 2542. Determine k(159).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -191 + 167.3. What is r rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14568873 and 344?\nAnswer: 116550984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 770 - 1418. Let v(t) = -8*t**2 + 15*t + 5. Let h be v(-10). Let f = q - h. What is the greatest common divisor of 27 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 927 divide 3697225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-35)\/(-15) - (0 + 2). Factor 0 - w**2 + h*w + w**4 - 1\/3*w**3.\nAnswer: w*(w - 1)*(w + 1)*(3*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89141383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 27 = -5*s, -3*t - s = 2*t - 39. Suppose 0 = t*y - 2*y. Factor 0*a - 2\/7*a**2 + y + 4\/7*a**3 - 2\/7*a**4.\nAnswer: -2*a**2*(a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.092 - 2.092. What is the third smallest value in 24, 1\/9, -1\/3, k?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (504\/15 - 18)*(-5)\/(-2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-33))\/((28 - 70)\/(-462))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, o: 1, z: 1, j: 2, q: 2, n: 1}. Give prob of sequence jj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -15) + ((-12995)\/(-3842) - (4\/(-34) - 0)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 60 + 231 = 0. Calculate the remainder when k is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**4\/12 - s**3\/6 + 19*s**2. Let j(r) = r + 11. Let q be j(-6). Suppose 5*y + q*f - 14 = 2*f, f = 2*y + 1. What is l(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c. Let g(q) = 9*q**2 - 7. Let j(t) = -2*t**2 - 2*t**2 + 6 - 3. Let m(d) = -6*g(d) - 14*j(d). Determine p(m(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 1192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**6\/360 + 7*c**3\/6 + 7*c. Let d(a) be the second derivative of y(a). Let h(t) = -4*t. Determine h(d(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1409640 is divided by 64041.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 332141 (base 16) to base 15\nAnswer: 462c9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1249420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(-5 + sqrt(24)\/(sqrt(12) + ((sqrt(36)*2)\/sqrt(3) - sqrt(12))) + 5).\nAnswer: -5 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1)\/(3 + -5). Suppose f = g - 92 + 3. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*a + 2*u, 0*a + u = 5*a - 17. Suppose 11 = a*s + 3. What is the third derivative of -s*g + g**2 + 2*g + 3*g**2 - 4*g**3 wrt g?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x + 5. Calculate n(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 18090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-60))\/((-2)\/40*6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 660 divided by 165.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-35) - 8\/14. Let s = -2 - -1. Is (-33)\/(-3) - s - h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a kilogram in grams?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 768 and 1536?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 438 + 182 + 14)*(-3 + 2*i + 1 - 7*i).\nAnswer: 1285*i + 514","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 24 = 5*t - 6, -4*t + 27 = 3*a. Suppose -18 = -3*j - a*n + 361, 0 = 3*n - 15. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12135 + 12169. Let d(w) = -w**2 + 37*w - 105. Calculate d(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*p - 10 + 1, -9 = -3*p + c. Let d(u) = -u. Let w(o) = 2*o + 12. Let k(x) = p*d(x) + w(x). What is k(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*k - 7*k. Suppose -3*w + 21 = 3*b, -3*w = -52*b + 48*b - 21. Let c(d) = d + 2. Let i be c(5). Solve b = g - k + i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 165*a + 4799. Calculate t(-87).\nAnswer: -1987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230, 474, 736, 1022, 1338, 1690, 2084?\nAnswer: 2526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1778 - 1773. Put 149, f, 1, -5 in decreasing order.\nAnswer: 149, f, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716222484?\nAnswer: 2, 3, 23, 865003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 31*c + 1 + 22*c to the form d + x*c and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 216540000 to the nearest one million.\nAnswer: 217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m**2 + 5*m**2 - 4*m**2)*(3 + 0 - 1 + 0 + 3 - 4 + (0 - 3 + 1)*(3 + 2 - 3))*(18*m**2 - 5*m**2 - 3*m**2).\nAnswer: 150*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/100*2)\/(2646\/(-10290))*3\/(-3).\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34020631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*g - 2715826 + 385739. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 o, and 1 p when four letters picked without replacement from gflopfog?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-153)\/(-34) - 2) - -13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 603*p**3 - 9*p**2 + 13*p. Let m(n) = -301*n**3 + 5*n**2 - 7*n. Calculate -4*k(i) - 7*m(i).\nAnswer: -305*i**3 + i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2252, 3877, 5502, 7127?\nAnswer: 8752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from zztzzztzzzzttzzzit.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10233888 and 8792.\nAnswer: 10233888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4335563\/593304 + 27\/3352. Let t = j - 2\/59. Find the common denominator of 63\/5 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4900 rounded to the nearest one hundred?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -38839.2021118 from 1.1.\nAnswer: 38840.3021118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(3 - 3*x**3 - 3) + 0*x**3 + x**3 + 0*x**3 - 4*x**3 + 0*x + 0*x + (37*x**2 + 61*x**2 - 18*x**2)*(0*x - x - 2*x).\nAnswer: -237*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(175) + -5.\nAnswer: -2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 8*x)*(4 - 3 + 0)*(5 - 39*x - 5)*(-1 - 2 + 2).\nAnswer: -312*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0 - 7) + -28 + 28\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39.7 + 1.7. Let u = 249781 - 249742.9922. Let j = p + u. Round j to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/5 + 428*n\/5 + 13832\/5.\nAnswer: -4*(n - 133)*(n + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-16)\/(-8 + 121\/22)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426859*d**2 - 426877*d**2 - 7 + 0 + 5.\nAnswer: -18*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -26. Calculate the greatest common divisor of m and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5485 + 5485.005798. What is j rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 24. Let r = 26.00000215 - w. Round r to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) + 5\/(-4). Let q be -2 - (-2)\/(48\/51). Let l = 1726\/9 + -192. Which is the nearest to 0.1? (a) t (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Let w = s - 3. Solve w = 5*y + 24 - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1180179 divided by 168597\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 8*u. Is 43 + 1 + 1 + u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19373.004571265 take away -5?\nAnswer: 19378.004571265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 + 2357*p**3 + 2*p + 2 - 3 + 4*p**2. Let s be 1\/(1\/6*(0 + 6)). Is y(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from {c: 1, x: 1, l: 12}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181819.\nAnswer: 11, 16529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1889 + -3473. Let l be ((-2)\/(-4))\/((-2)\/f). Suppose 0 = 4*d - l - 100. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 < -2\/2507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5209.7269740831 plus 0.4?\nAnswer: -5209.3269740831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (-32 + (13 - -3)) - (5 - 4)) + 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/2 - 7946080*i - 31570093683200 = 0.\nAnswer: -7946080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*g + 2*g + 54 = 0, -5*p - g - 135 = 0. Let u(t) = -2*t**2 - 6*t - 5. Let y be u(-4). Let x = y - p. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*n**3 - 1)*(0 + 2*n + 0)*(8 + 1 + 6) to f*n**3 + c + i*n**4 + b*n + l*n**2 and give i.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2\/6 - 77*s\/6 - 162938 = 0?\nAnswer: -951, 1028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o*o\/(o*o**(-1\/4)))\/o))\/o*o\/(o\/(o\/o**(-5)))*o*o*o*o*o*(o*o\/((o\/(o\/(o*o*o**1*o)*o))\/o))\/(o**0*o) assuming o is positive.\nAnswer: o**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -70 (b) -3 (c) -1\/3 (d) 3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 3:50 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((-6)\/(-8))\/(30\/(-120)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + (-2 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*l = f - 3377, 683*f + 20 = -681*f + 1359*f for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-41)*x*x)**7)**33 assuming x is positive.\nAnswer: x**(-9009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2537\/378 + -2372266\/2079. Let m = -1146 - q. Find the common denominator of -125\/6 and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 21*t**3 + 18*t**2 + 14*t + 4. Let u(g) = -20*g**3 - 19*g**2 - 12*g - 3. Let a(r) = -7*u(r) - 6*w(r). Find the third derivative of a(h) wrt h.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 175562326 - -6?\nAnswer: 175562333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from {q: 2, f: 2, w: 8, e: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8545.314t in milligrams?\nAnswer: 8545314000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8188401175.2 + 8188401789.20000443. Let d = -614 + h. What is d rounded to seven decimal places?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.068? (a) 0 (b) -1\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 + 13*a**3 + 17 - 6*a**3 - 6*a**3.\nAnswer: -3*a**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -751*b + 5. Is 7 a factor of v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30942 greater than -30823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = u + 192192, u + 38*w + 192184 = 42*w. What is u rounded to the nearest one thousand?\nAnswer: -192000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - o**2 - 1. Suppose -2*z = -4*j - 3*z - 17, 0 = 2*z + 10. Let a(b) = -b - 3. Let p be a(j). Calculate q(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.596333\nAnswer: -0.1788999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 608 equal to 0.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u + 124. Calculate the remainder when 93 is divided by j(-15).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**3 + 3*a**3 - 3*a**3)*(2 - 5 + 2)*(24 - 13 - 14)*(3 - 1 + 0)*(1 - a - 1) to n*a**3 + r*a + k*a**4 + u*a**2 + q and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91396952.\nAnswer: 2, 47, 243077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 7:03 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c**4 - 30*c**3 + 21*c**2 + 94*c + 72. Let d(z) = -30*z**4 + 120*z**3 - 85*z**2 - 375*z - 290. Let p(v) = -6*d(v) - 25*s(v). Factor p(r).\nAnswer: 5*(r - 2)*(r + 1)**2*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 16*d - d. Let w(v) = -10*v + 1. Let i(n) = 9*n - 1. Give d*w(m) - 6*i(m).\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**3 - 20*v**2 - 16. Let d(a) = a**3 - 4*a**2 - 3. Let s = -328 + 326. Determine s*y(x) + 11*d(x).\nAnswer: -x**3 - 4*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is bbabb - -118?\nAnswer: 100017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/13 + 7742*o**2\/13 + 2695840*o\/13 - 207968 = 0. What is o?\nAnswer: -3484, -388, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3372*f - 80945. Calculate m(24).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4575528403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 + y**2 - y - 1. What is c(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-4 + 14 + -3 - 1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 6)*(-j**2 + 0*j - j - j**2 - 6).\nAnswer: 2*j**2 + j + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 69*v + 22. Let i be g(-32). Calculate the greatest common factor of 104 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*j - g + 67, 0 = 3*j - 5*g + 43. Let i = 5 - j. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 48174 = 3*p - 4*p, 5*p - c - 241073 = 0. Is 28 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 29142*a - 87399.\nAnswer: -3*(a + 3)*(a + 9711)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1789, 3576, 5361, 7144, 8925, 10704, 12481?\nAnswer: 14256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550)*-1*-5)\/sqrt(10))\/(2*(sqrt(320) + (sqrt(320) - sqrt(320)*-2)) + sqrt(320)).\nAnswer: 5*sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p = -372. Let w = p - 48. What is the greatest common divisor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-4)*h**(-2\/19))**48)**28 assuming h is positive.\nAnswer: h**(124992\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akra when four letters picked without replacement from rvkraearvllrel?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -63173313.\nAnswer: -63173308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-27 + (-46 - -52)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -1.9, 7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-206)\/(-6))\/((-1)\/3). Let b = 185 + c. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33946.45 and 0.2?\nAnswer: 6789.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3.093 (b) 0.3 (c) 4 (d) -4 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 104, 68, -4, -124, -304, -556?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 4 (b) 1\/4 (c) -2 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**3 + 18*f**2 + 6*f + 14. Let j(o) = -o**3 + 6*o**2 + 2*o + 5. Let x(p) = 4*d(p) - 11*j(p). Let v be x(6). Is v < 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 10:08 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 11298125.\nAnswer: -29\/11298125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -221583 divided by 147\nAnswer: -73861\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**3 - 60*q**2 + 324*q + 380 = 0. Calculate q.\nAnswer: -19, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -73727*u + 3317756. What is f(45)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 7. Let g be j(7). Let d = 1 - g. Let q be (-2)\/(-5) + (-4)\/10. Solve 2*a - d - 9 = q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyyyf. What is prob of sequence yfyf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7769629 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 348*f - 360*f + 60 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 7*h - 2*h. Does 17 divide (102\/(-5))\/(h\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-2)\/4 + 0). Let g = 1\/16 - 25\/16. Let r be (5\/(-2))\/(-3 - -5). Sort d, r, g in increasing order.\nAnswer: g, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 240904 + -2165441\/9. Let t = -300 + l. Let y = 10\/9 - 49\/36. Find the common denominator of t and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18386670.\nAnswer: 2, 3, 5, 612889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -24*s**7\/7 - 2*s**3\/3 + 30. Find the third derivative of g(j) wrt j.\nAnswer: -2880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12042*l**2 - 2 - 12042*l**2 + 23*l**3 in the form a*l + u*l**2 + g + o*l**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.4 (c) 212 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 441 - 68)*(-10*w**3 + 0*w**3 - w**3) + 2*w + w**3 - 2*w as n*w**3 + f*w**2 + l*w + c and give n.\nAnswer: 5622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4111 + 5087. Calculate the greatest common factor of 144 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 4) in base 6?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -307?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 19*x**2 + 361*x - 4. Let j(a) = -93*a**2 - 1806*a + 22. Let q(y) = -2*j(y) - 11*p(y). Find the second derivative of q(z) wrt z.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p = 2. List the prime factors of p\/(-3) - 69\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19276920 divided by 16476.\nAnswer: -1170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 20*l**2 + l - 21. Let r be z(20). Let a(w) = -11*w - 5. Let k be a(r). List the prime factors of 106\/k + 4\/(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-14 - (-12 + (10 - 13 - -8)))) + 62\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 2\/21, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1283, 8979, 28845, 66641, 128127, 219063, 345209?\nAnswer: 512325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043534 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -6, -2\/7, -1\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 605055, 2, -3, -2 in increasing order.\nAnswer: -3, -2, 2, 605055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 2*(1 - 2). Suppose 0 = -5*o - 25, -k*s + 3*s + 5*o = -19. 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: Let z be (-8)\/(-20)*-179 - -8. Let u = z + 639\/10. Let l = 0.06 + -0.66. Which is bigger: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 1\/6*a**6 + 0 + 0*a**5 + 16*a - 5\/6*a**4 + 0*a**3 + 5\/2*a**2. Factor o(c).\nAnswer: 5*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*(sqrt(3) + -4) + (sqrt(3) - (sqrt(3) - (-2 + sqrt(27)\/sqrt(9) - sqrt(3))**2)) + -4*sqrt(27)\/(sqrt(9) + sqrt(1089)*-6)).\nAnswer: -573*sqrt(3)\/65 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 58192042\nAnswer: 5\/58192042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-2*sqrt(132))\/sqrt(6))\/(sqrt(1100) + 1*sqrt(1100) - sqrt(11)))**2.\nAnswer: -32\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, f: 5, v: 3, w: 2, p: 1, r: 2}. Give prob of picking 1 f and 1 p.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**0)**(-44))**(-42))**(-3\/7) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -109*c + 73561 + 163572 + 204644. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*t = -2628*t - 2890 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -25*c**3 - 6*c - 13. Let m(j) = -24*j**3 - j**2 - 7*j - 14. Let v(x) = 6*m(x) - 5*s(x). Is v(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 68981.99l?\nAnswer: 68981990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -315 smaller than -317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40667 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 5) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-7)*((-46)\/92 - 10).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2 + 11\/4*h + 13\/4*h**2.\nAnswer: (h + 1)*(13*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 14)*(2 - 2 - 2*w)*(0 - 1 + 2)*(11*w**2 - 34 + 34) to s*w**2 + u*w + b*w**3 + y and give b.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -82, -105, -122, -133, -138, -137?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328197 is divided by 171.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13100251 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**3 - 4*g**2 + 3. Let h(s) = -6*s**3 - 9*s**2 + 7. Give 3*h(x) - 7*v(x).\nAnswer: 3*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 - 3*t**3 + 14*t**3 + 6*t**3.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h*p - 454*h + 25*p**4 wrt p.\nAnswer: -4*h + 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) -1 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l**2 + 2*l - 2. Suppose -z + 26 = 22. Let w(f) = 2*f**2 - f + 1. Calculate z*k(v) + 7*w(v).\nAnswer: -2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 11. Let s(o) be the first derivative of 0*o**2 + 2\/3*o**b - 1\/4*o**4 - 1 + 4*o. Give s(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*8.8.\nAnswer: 0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46831, -187636, -422433, -751228, -1174027, -1690836, -2301661?\nAnswer: -3006508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2785 is divided by 1215?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 1)**2 + (sqrt(112)\/sqrt(2))\/sqrt(8) - ((sqrt(175) - -1*sqrt(175))**2 + sqrt(175))*-6.\nAnswer: 53*sqrt(7) + 5048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*sqrt(1377) + sqrt(1377)) + 4 - ((sqrt(170) - (sqrt(170) - 4*sqrt(170)*-2))\/sqrt(10) + 1).\nAnswer: 3 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 3*g - 7, -y + 384*g - 17 = 379*g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(475) + 0)*-6)**2.\nAnswer: -102600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 23*i + 95. Let o be d(5). Suppose -5*f - 5*n = -120, -o*f - 14*n = -13*n - 112. What is the greatest common factor of 550 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-1 - -8) - (-8702 - -8748).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25838401 take away -0.04?\nAnswer: 25838401.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 76, 80, 86, 94, 104?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*d - 670 = 653, 3*u = 2*d + 988. What is the least common multiple of 510 and u?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7*l - 3*o = 25, -5*l - 2*o + 14 = 0. Let y be 1\/(-3) + (-3)\/(-9). Suppose y = b - 9 + 2. Solve -c = 2, -r + b = 2*c - l*c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-6)\/(-9))\/((-2)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 35*z**3 + 23*z**2 - 126*z - 98. Let c(m) = -23*m**3 - 16*m**2 + 84*m + 70. Calculate 7*c(l) + 5*i(l).\nAnswer: 14*l**3 + 3*l**2 - 42*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, 34, 4 in increasing order.\nAnswer: -11, -3, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 l when four letters picked without replacement from tttlllt.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3583, -3718, -3853, -3988?\nAnswer: -4123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7310224 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**5\/2 + 8141*l**4 - 38946048*l**3 + 44980715520*l**2 = 0.\nAnswer: 0, 1690, 7296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130525535\/6936 + 150549\/8. What is the common denominator of k and -89\/255?\nAnswer: 4335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.900808 litres to millilitres.\nAnswer: 2900.808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((54\/20)\/9)\/(12\/10). Let f(b) be the second derivative of -b + 0*b**3 + 0*b**2 + t*b**4 + 0. Let w(x) = -x**2. Calculate w(f(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-3 + (sqrt(1053) - sqrt(1053)*-1*1))**2 - (1 + sqrt(1053) + ((1 + sqrt(1053))**2 + 0 + sqrt(1053) - sqrt(1053) - sqrt(1053)))).\nAnswer: -126*sqrt(13) + 3170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 - d**3 + 3*d - 5*d + 2 + d**4 to x*d**2 + k*d + i*d**4 + q + h*d**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*a - 6. Let k(h) = -5*h - 22. Let p(n) = -5*n - 21. Let o(l) = a*k(l) + 3*p(l). Find the first derivative of o(f) wrt f.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aea when three letters picked without replacement from rrrarreeyareyaearre?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31762268*u**4 + 3*u**3 + 8*u**2 - 42*u + 27668.\nAnswer: 762294432*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 0 + 1 - 2*o**3 + o**3 + 6738*o**2 - 6737*o**2. Let p(v) = -3*v**3 + 4*v**2 + 4. Let j = -103 - -102. Calculate j*p(h) + 4*d(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -13. Let w be 1\/(a\/1) - 1. Which is bigger: -1\/3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from ssuesus?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -4*u, 5*u + 18 - 1 - 3 = -1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((5 + sqrt(500) + -1 - sqrt(500))*4)**2.\nAnswer: -1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1222)\/564 + 5\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c - 1 + 36. Suppose -c*y - j + 1751 = 0, -3*y - 4*j = -0*j - 1054. Suppose 6*v - y = v. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 - 3*t**3 - 3*t**3 - 3*t**3 + 0*t**3 + 6*t**3 + (4*t**2 - t**2 - 4*t**2)*(-3*t - t + 6*t) - t**3 - 2*t**3 + 2*t**3 - 4*t**2 + 4*t**2 + t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/9))\/n)**(-41)*n*n**(-4\/9)*n*n**(3\/4) assuming n is positive.\nAnswer: n**(-245\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 216 = -2*l + 225, -l + 228 = 4*p. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 162513366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 4)*(-y + 0*y - 2*y) + (-y + 1 - 1)*(91 + 90 - 64) + y + 0*y - 2*y + 3*y + 0*y - 2*y + (-2 + 5 - 1)*(y + 0 + 0).\nAnswer: -112*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 14*h + 3. Let g be p(14). Let x(y) = -y**3 + 11*y - 4. Calculate the remainder when 14 is divided by x(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m*m**(-1)\/m)))**(-26))**(-18) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 554406213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k. Let z(m) = 25*m**2. Let g(x) = -6*x**2. Suppose d + 26 = -4*f, 0*d + 2*f = -5*d - 40. Let h(w) = d*z(w) - 26*g(w). Give h(y(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11 - (-96)\/(-9))\/((-2)\/(-10)). Let h(i) be the first derivative of 0*i + q*i**3 - 4 + 3*i**2. Find the second derivative of h(t) wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {q: 1, o: 1, e: 1, n: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1029.3 - -500.5. What is a rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k - 6*k + 4711 - 4733 + 0*k**2 + k**2. Give c(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 225\/(-72)*(-8288)\/740?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -9*p**2\/2 - 40. Let z(l) = 32*l. What is z(g(f))?\nAnswer: -288*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 199614700 and 4?\nAnswer: 199614696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2202 (base 3) to base 15.\nAnswer: -4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15528 by 6.\nAnswer: -2588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 4*(sqrt(396) - ((sqrt(396) - 1*sqrt(396)) + sqrt(396))) + (sqrt(396) + -2)*2)*6)**2.\nAnswer: -7776*sqrt(11) + 59940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, 5, 0, 98, -5, -1.\nAnswer: -5, -1, 0, 5, 98, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-33454385)\/(-19) - 24*12\/2736 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132306.2ml to litres.\nAnswer: 132.3062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/4, 1\/7, 2\/25, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -684, -2363, -5650, -11085?\nAnswer: -19208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 550\/(-1650)*13\/(-1)*-1?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/3, -29.3, -1, -2 in ascending order.\nAnswer: -29.3, -2, -1, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -94 and 6175 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -364522, -364520, -364518, -364516, -364514?\nAnswer: -364512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*h, 69*h = 3*b + 64*h - 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -774362 by -46.\nAnswer: 387181\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 3*c + 5. Let r(a) = 2*a**2 - 3*a - 4. Let d be (1 - (-20)\/(-12))*-9. Let i(l) = d*w(l) + 7*r(l). What is the units digit of i(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -464352115 - -3?\nAnswer: -464352112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102483 and 258813?\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 - (5 - 3\/(-3)). Solve 3 = 4*l + g, -2*l - 7 - b = -3*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 236 + -302532?\nAnswer: -302263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = u - 30. Calculate the lowest common multiple of 6 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 7*w + 34 = 5*w, 3*w = 4*d - 23. Suppose -239 - 17 = -d*p. Solve 6*c = 14*c - p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 110 - (0 - (3 + 0)). Let i = o - 61. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s + 2*s)*(-557840 + 557840 - 262*s**4).\nAnswer: -262*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2497.510021 rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182 by -406.\nAnswer: 13\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8*k + 5. Let x(i) = -15*i + 9. Let t = 118 + -110. Let g(p) = -16*p + 133. Let f be g(t). Give f*x(u) - 9*j(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4945*z + 4950*z = -v - 280, 5*v = -4*z - 245 for z.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: a3 (base 14) to base 11\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -22. Suppose k - 1 = -t. Put k, 2, 4 in descending order.\nAnswer: 4, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4)*4 + 5. Factor -19*a - 5*a + 18 + 6*a - g*a + 8*a**2.\nAnswer: 2*(2*a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**6\/120 - 7*g**5\/60 + g**4\/6 - g**3\/6 + 2*g**2. Let o be b(7). Suppose -a = -3*l + 73 + 22, -l = 2*a - o. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 272, 235, 200, 167?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 13036.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58541 or 9542082\/163?\nAnswer: 58541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*v**2 + 6*v**4 + 11*v**2 + 3 - 25*v**2 + 6*v**3 + v - 5*v**4 to t*v**4 + x*v**3 + c + b*v + h*v**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*s = -3238, 48*f - 52*f = -2*s - 12912. Calculate the highest common factor of 152 and f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20871 (base 9) to base 6.\nAnswer: -144014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/4 of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(57)*1)\/(sqrt(33)\/(sqrt(44)\/sqrt(4) + sqrt(11))).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -327859.315 to the nearest 100.\nAnswer: -327900","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2846 less than or equal to 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -1311?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 + 589 = -a. Let u = a + 342. Solve -2*p + 3*s = -0*p + 7, u*s - 11 = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4598, -4631, -4662, -4691, -4718, -4743, -4766?\n\"Answer: y**2 - 36*y - 4563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -22, -35, -66, -121, -206, -327?\n\"Answer: -c**3 + 6*c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from {o: 1, d: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a. Let b(g) = 3*g - 1. Give -3*b(q) + 5*i(q).\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = 4*i - 465. Suppose 161 = 3*m - 55. Suppose i = 10*s - m. What is the least common multiple of 24 and s?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*d + 10*d - 1 - 10*d with respect to d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 941\/6 + -157. Calculate the common denominator of v and -44\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.1 and -1078.\nAnswer: -3341.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1715315?\nAnswer: 5, 7, 49009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 - 8*y**2 - 4 - 19*y**2 + 0*y**2 - 5*y**2 in the form f + v*y**2 + l*y and give v.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, -1.7, -3, 224.32?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 1:50 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*v + 122 - 178 = 194. Let d(h) = -9*h**3 + 6*h**2 + 3. Let k(l) = -8*l**3 + 5*l**2 + 2. What is v*d(b) + 6*k(b)?\nAnswer: -3*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**(-1\/2)*b)**7\/(b**(1\/4)\/(b\/b**2)))\/(b\/b**(-2\/7)*(b**(5\/6)\/b)\/b*(b\/b**0)\/((b*b**(3\/7))\/b)) assuming b is positive.\nAnswer: b**(1895\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -3144 (c) 4\/3 (d) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -53.\nAnswer: 26.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f. Suppose 84 = -f*k - 7*k. Let s be 6\/k*6\/(-1). Solve 1 = -2*m - s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, e: 1, k: 3, r: 3}. Give prob of picking 3 r and 1 k.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(12\/27*6)\/2. Factor 33*q**3 - 9*q**2 - 79*q**3 - 3*q**h + 37*q**3 - 3*q.\nAnswer: -3*q*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v**2 - 29*v - 12. Determine z(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -i, 19*i - 21*i = -2*a - 10. Is (-2)\/a*(184 + (2 - 4)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 10*j**2 - 22*j + 140. Let h(t) = 9*t**2 - 14*t + 138. Give 3*h(d) - 2*v(d).\nAnswer: 7*d**2 + 2*d + 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4.280118ms?\nAnswer: 4280.118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/(-48))\/((-15)\/900*5).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/43 in 3, -1\/5, 2, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 80*j + 3126. Let p be s(-39). Let r(x) = -x**3 - 4*x**2 + 5*x + 6. Let a be r(-5). Suppose -2*g = -p + a. Solve g = -4*z - 0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.7888505 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqv when three letters picked without replacement from qkvsavq?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-1) - (-2 + 1). Suppose -2*f = -x + 2. Let v(z) = -f*z - 3*z + 3*z. Let m(u) = u. Give v(m(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/3 and -139\/437031684?\nAnswer: 437031684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.5. Let w be 2 + -2 + (-3)\/7. Let b = -0.72 + -4.28. What is the third biggest value in b, y, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79259 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 1667 + 286. Suppose -1079 = -5*u - v. Suppose m + u = 6*m. Is m a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 + 82 = 11*v + 184 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109958296 is divided by 2950.\nAnswer: 2946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 506 = -2*w + m, 5*m + 1040 = -4*w. Let t = -175 - w. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 0 = -2*v. Let h(g) = g - 1. Let d be h(3). Suppose -13 = -o - 0*o + 5*q, 8 = d*o - q. What is the remainder when v is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 - -2)\/((-4)\/(-32)). Suppose 3*b + 5*b = n. What is the units digit of (-103)\/(-4) + b\/44?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6743174.\nAnswer: 2, 43, 89, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17 + -2)*(-1)\/(-20). Let u = 7\/10 + y. Let k(s) = s**2 + 257*s - 1314. Let x be k(5). Which is the second biggest value? (a) u (b) x (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1512 and 29\/2376.\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h - 57200 = -43*h. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3154 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (350\/(-5))\/(-5)*(40\/(-128))\/(20\/(-32)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(sqrt(76) + 3 + ((sqrt(76) - -1*sqrt(76) - sqrt(76))**2 + sqrt(76) - sqrt(76)) + 5 + (1 + sqrt(76))**2 + -5 + 2).\nAnswer: 108*sqrt(19) + 2844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-69)\/15 + (-6)\/(-10). Suppose 16 = 4*s - 0*s. Put 1, s, g in increasing order.\nAnswer: g, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-5) - (-6)\/(-30). Suppose -a*x = -27 + 13. Suppose x*m + 40 = 8*m. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 2 + 1)*(y**2 - 2*y**2 - 3*y**2 + (2 - y - 2)*(-1 + 1 - y)).\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t + 348 = -130*t - 25*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/24 and -35\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 5*i - 5, -100 = -3*n + 5*i. Suppose -2*l + x + 2*x = -n, -3 = 3*x. Let w = l - 9. Solve 5*f - w = 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 978332 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 45*n - 266. Let v = -7 + 17. What is the least common multiple of v and t(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 + 118. Let t = -36 + v. Solve -5*z - t - 4 = -3*s, z + 27 = 5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 61 = -65 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-85)\/(-1) + (3 - 2). Suppose 29 = -3*n - 64. Let f = w + n. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8076265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 536.7.\nAnswer: 536.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 391, 775, 1163, 1555, 1951, 2351?\nAnswer: 2755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000847007 to six dps.\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411*t**3 - 390*t**3 + 674*t**3.\nAnswer: -127*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((505\/(-25) - -12) + 8)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 112*r**4 + 449599*r - 628244926?\nAnswer: 448*r**3 + 449599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {z: 1, p: 1, i: 1, h: 2, u: 1, v: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 8*o**2 - o - 27. Let m be g(-8). Let i(f) = f**2 + 14*f - 35. Is i(m) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4914 and 52.\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 9*y**2 - y - 4. Let i be x(-9). Suppose 0 = 5*z + i*t + 70, -4*z - t - 65 = -24. Is 4 a factor of 496\/36 + (-2)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e9 - 23b5?\nAnswer: -22cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*z + 305 = -143*z. Let r be (-8)\/((-1)\/(-4) + 108\/(-48)). Solve r*t - 14 = z*u - 6*u, -6 = -4*t - 5*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18536489723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(432) - sqrt(432)*-1)*4)**2 + 5 - 5*(1 + (sqrt(432) + (2*sqrt(432) + sqrt(432) + sqrt(432))*3)**2)) + 2.\nAnswer: -337387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 20 = 35. Let z(v) = -v**3 - 4*v**2 + 4*v + 1. Let j be z(w). Suppose -4*b = -j*b + 46. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2758 and -0.271.\nAnswer: -747.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + f + 0*f**2 - f**2. Let q(p) = -p**2 - 8*p + 7. Let g be q(-5). Let a(h) = -49*h + g*h + 35*h. Calculate a(b(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4987 is divided by 333.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16339462, 16339469, 16339482, 16339501, 16339526, 16339557?\nAnswer: 16339594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5*j + 80 = 12*r, -3*r + 1580*j - 3 = 1584*j - 4 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7*z**(2\/21))\/(z**23*z*(z**(-3\/7)\/z)\/z) assuming z is positive.\nAnswer: z**(-304\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 641.3 - 677. Let z = k + 36. Sort 0, -0.1, z.\nAnswer: -0.1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 167 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5)*t)\/t)**(1\/5)\/((t*t**7)\/t*t\/t**(-4\/13)*t) assuming t is positive.\nAnswer: t**(-134\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + d - d + (0*d**2 + 5*d**2 + 2*d**2)*(0 + 4 + 1) + 0*d**2 + d**2 - 3*d**2 + (4*d**2 - 5*d**2 + 2*d**2)*(-1 + 1 - 1).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/52092 and 137\/108?\nAnswer: 156276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**8\/210 + v**5\/15 + 19*v**3\/3 - 19. Let f(i) be the third derivative of g(i). Find the second derivative of f(k) wrt k.\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80353 or 1607049\/20?\nAnswer: 1607049\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Suppose 5*g + 5*h - 25 = 0, -h + 4*h - 20 = -4*g. Let o = g - 1. Calculate a(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*f + 8, -4*f - w - 2 = -2*w. Let m(o) = -4*o + f*o + 3*o + 3. Is m(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**3 + 2. Let c(l) be the first derivative of -l**2 - 3. Calculate c(d(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*w + 43, 4*w = -5*c + 26 + 41. Suppose -4*s - 9 = c. Put s, 4, -4 in ascending order.\nAnswer: s, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 82*x**2 + 66*x - 1214. Let i be n(-81). Is i at most as big as 14\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuq when three letters picked without replacement from {q: 3, u: 2, r: 2, h: 5}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:55 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*m**2*t + 22*m**2 + 4*m*t - 2*m + 159086*t wrt m?\nAnswer: -46*m*t + 44*m + 4*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 3:45 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72058389047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011011 - 111001111111?\nAnswer: -110100100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g + 1. Suppose a = 5*a. Let o(l) = -l**2 + l + 3. Let j be o(a). Is m(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 7 - -10) + -12 - -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -395\/2 - -187. Find the common denominator of y and -13\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - -12132?\nAnswer: 12113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 991731.6 centuries to years.\nAnswer: 99173160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 - 27. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14134744 divided by 1766843.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45528 - -45530. Determine v so that -v - 3\/2 + v**3 - 1\/2*v**4 + y*v**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -136, -4, 5\/3 in ascending order.\nAnswer: -136, -4, -2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-16)*20\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -6, 0, -2, -18, -54, -116?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*x = 25, -2*x = -x - 5. Let k(j) = -j**2 + 3. Let a be k(o). Let v be 1 + (-3)\/3*1. Is v greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((5 - -2 - 2) + (-26 - -19))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.3 (c) -1\/3 (d) 0.3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 0 + 0*t**2 - 10*t + 0*t**3 - 1\/6*t**4. Let a(o) = -2*o. Determine g(a(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 3*y**2 - 2*y + 2. Let p be t(-2). Let r be 0*(p + 15\/(-6)). Let s = 13 - r. Calculate the highest common factor of 117 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5 + 30 = 0, 0 = s + 4*k - 48. Suppose -2*g - 2*g = -s. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 275 - 279. Let w(n) = 39*n**2 - 2*n - 18. What is the units digit of w(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + p + 16. Let d be 1\/(-1 + p\/(-6)). Calculate the greatest common divisor of d and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 3570 = 3606 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a868a (base 12) to base 3.\nAnswer: 1211012201221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (40\/3 + -5 + 4)*-6. Let y = -86 - a. Let k be y\/(-6) - (-4)\/1. Solve 5 = -k*j + j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283811 is divided by 1448?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11367212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 4*h**2 - 6*h + 3. Let i be (9\/(27\/6))\/((-3)\/(-6)). What is a(i)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 16*a**2 - 14*a - 17. Let p be k(15). Sort 3, p, -8 in ascending order.\nAnswer: -8, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 33, -1 in ascending order.\nAnswer: -1, 1\/2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 + 3 + (-2 + 4 + 0)*(2 - 1 + 0))*(-3*v + v**3 + 3*v) in the form k*v**2 + o + b*v + t*v**3 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, w: 2, e: 1, z: 1}. Give prob of sequence zkwe.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133366170 divided by -3.\nAnswer: 44455390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 11430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/1994808 and 41\/4.\nAnswer: 1994808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r = 30*r + 264648. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3 (b) -0.2 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1 (c) -0.4 (d) 33\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 185\/4536 - -1\/1134. Which is the nearest to 0? (a) 6\/11 (b) -0.8 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*a**5 + 321294*a**4 + 2*a - 2193474.\nAnswer: 1300*a**3 + 3855528*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112537 + 23*a**2 + 112597 - 225134.\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 13 = -18. Suppose d - 2*d = 3*k - 3, -15 = v*d. Suppose 0 = -4*n - 2*s + 710, -7*n + 891 = -k*n - s. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = v + 4*k - 58, -38 = v + 3*k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1088058 - 1089474 = 59*g for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4\/3 + 496*i**3\/3 + 492*i**2 + 1472*i\/3 + 490\/3 = 0.\nAnswer: -245, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 + 2 + 1674\/30)*50.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1242.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 111\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*84*(-23)\/207?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1796?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4423 - 0.069\nAnswer: -4423.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 4) to base 13\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 41 = -3*s + 75, -5*s + 5*z + 40 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 108\/30 + (-2)\/(-5). Let s = w + -2. Suppose -8 = -b - 2*u, 5*b - 2*b - 16 = s*u. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3734 + 1868 + 5*k**4 + k + 33*k**3 + 1866 to the form t*k + p*k**2 + a*k**3 + s + i*k**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-22 + (-6 - (-6 - 8))) - (31 + -2)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(4\/(-3))\/(-1). Let a(i) = -27 + 10 + 12 + 10 - i + 4. Calculate the remainder when 7 is divided by a(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95787951.\nAnswer: 3, 7, 4561331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 1 - (-2 - (-1 + -1) - -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 776\/388*(-1)\/6*12\/160.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 9*u + 5. Let d be l(8). Let x = -1779 + 1781. Put x, 8, 4, d in ascending order.\nAnswer: d, x, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, z: 3, n: 2, y: 1, j: 1}. Give prob of picking 1 j and 1 z.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -32*o + 631. Determine r(0).\nAnswer: 631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 269\/65 + -72\/13. Which is greater: 6 or s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*i**2 - 59*i**2 - 60*i**2 + 315*i**2 - 60*i**2 - 65*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32835 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -68, -145, -232, -335, -460, -613, -800?\n\"Answer: -a**3 + a**2 - 73*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 129341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -41*f**3 - 4*f. Let p(v) be the third derivative of -v**4\/12 - 7*v**2 + 134*v. Calculate p(i(h)).\nAnswer: 492*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/5 - 24\/5*v - 9\/5*v**2 - 1\/5*v**3.\nAnswer: -(v + 1)*(v + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - (-3 + 1)) + 39. Let k = v - 38. Sort k, 4, -5, 5.\nAnswer: -5, k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3530533 (base 6) to base 13.\nAnswer: -65361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16313377221\/50 - -326255576. Let h = q + 11967. What is the common denominator of h and 133\/18?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 80667 and 5?\nAnswer: 403335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 4:24 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 23, 2\/23, 278.6, 2\/5, -3.2, -2?\nAnswer: 278.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19981.\nAnswer: 13, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4870, -4853, -4798, -4699, -4550, -4345, -4078?\n\"Answer: w**3 + 13*w**2 - 29*w - 4855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -31.3 times -0.471\nAnswer: 14.7423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxaao. What is prob of picking 2 a, 1 x, and 1 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 minutes after 1:18 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((70\/10)\/(-14))\/(1\/1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025299 rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 494 and 4381?\nAnswer: 166478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -10. Suppose 0 = -m*i - 3*w + 198, 0 = -2*i + w + 4*w + 146. What is the remainder when i is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 4, 34, 12, -3, 1 in ascending order.\nAnswer: -3, 1, 4, 12, 17, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 9*u**2 + 22*u + 52. Let n be k(-7). Is n greater than or equal to 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 747 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9765637.\nAnswer: 7, 109, 12799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67688?\nAnswer: 2, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10695050 is divided by 465001?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-9)\/((-36)\/128). Suppose 12*a = r + 137. Suppose 3*l - k - 7 + 3 = 0, -2*l - 5*k = -31. Solve 0 = g - 4*y - y + a, -l*g - y = 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042b (base 14) in base 9?\nAnswer: 58738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1834 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 809*z**7\/105 - 5*z**3\/6 - 1264*z**2. Find the first derivative of r(m) wrt m.\nAnswer: 6472*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/2)\/((-14)\/(-4))*210\/(-315). What is the fifth biggest value in i, 0.2, 5, -6\/13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - m - m)*(2 - 1 + 0)*(0 + 4 + 2)*(40*m - 40*m - 16*m**2).\nAnswer: -96*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*d = -101 - 537 - 62 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/5 (b) -3\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 454 + -446. Solve k + 2 = u for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/7 + -9\/35. Let h = 0.03139 + -54.09139. Let f = h - -54. What is the closest to f in 0.4, 0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/39, -1, 7, -0.004 in ascending order.\nAnswer: -1, -0.004, 1\/39, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -14*j - 20. What is the tens digit of r(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 22*o**2 + 23*o + 8. Suppose 67 = 6*k - 71. Let x be f(k). Suppose x*g - 518 = 650. List the prime factors of g.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 - (-87)\/(-5). Let f = -16 - r. Suppose -2*k - 2*k + 3*y + 39 = 0, -2*k = -5*y - 23. What is the greatest common factor of k and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**18)**(3\/11)\/(n**(-2\/55)\/(n*n\/((n*n\/n**44)\/n))) assuming n is positive.\nAnswer: n**(2747\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5166 - 2120. Which is smaller: 3047 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 2*g**2 - 7*g**2 + g**2 + g - g + (-3*g + 0*g + g)*(-1 + 1 + g))*(-4008*g + 4008*g + 235*g**2).\nAnswer: -1880*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-6))\/6)\/(-2*(-1)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3217.\nAnswer: 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 599345 and 3085.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/233671?\nAnswer: 5\/233671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuuu when four letters picked without replacement from {u: 9, v: 2, w: 2}.\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-6)*180\/(-8). Let y(g) = g + 23. Let z(s) = s. Let m be z(13). Let j be y(m). Calculate the highest common factor of j and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 42 = 32*m - 421, -3*b + 0*b + 15 = 0 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*b + 58 + 13*b - 39*b wrt b.\nAnswer: -59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000324961 rounded to five decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64*-1 + 15802848\/246864?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74703317.\nAnswer: 13, 5746409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 850, 3404, 7662, 13624, 21290, 30660?\n\"Answer: 852*k**2 - 2*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**6\/120 - i**5\/15 + i**4\/3 - 3*i**3 - i**2 - 36. Let r be k(-6). Solve 0 = -4*w - 2*a - r, w = -3*a - 0*a + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, -1025, -2140, -3291, -4478?\nAnswer: -5701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(891)*-1)**2 + sqrt(891) - ((sqrt(891) + (sqrt(891)*2 + 0 - sqrt(891)))**2 - sqrt(891)))*3.\nAnswer: -8031 + 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37222 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -224, 0, -837 in decreasing order.\nAnswer: 2, 0, -224, -837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-7*n**2 + 3*n**3 + 7*n**2) + (2*n**2 + 2*n**2 - 10*n**2)*((-2 + 3 + 2)*(0 + 0 + 4*n) + 2*n - n + n).\nAnswer: -81*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m = -120*m - 437 - 1111 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 2*t + 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*w**5 + 11*w - 17*w**5 - 42*w**5 wrt w.\nAnswer: 520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8049220 from 833.8.\nAnswer: -8048386.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 3:26 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -145, -210, -261, -292, -297, -270?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 16. Let o(g) = 9*g + 1. Let p(j) = 5*j. Let d(u) = 4*o(u) - 7*p(u). Calculate d(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + 13*a**2 + 7*a + 12. Let v = 16 + -22. Let w be n(v). Suppose -w*j + 53 = -2749. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 425, 838, 1253, 1670, 2089, 2510?\n\"Answer: y**2 + 410*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*g + 3 = -12, 4*g = 2*m - 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 497113031490+-0.014\nAnswer: 497113031489.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 44\/80)\/((-18)\/15). What is the biggest value in 4, -5, 5, -11, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 101*g + 318. Let q(c) = -3*c + 6. Let v(o) = 6*q(o) + x(o). What is the derivative of v(j) wrt j?\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 31014 (base 5) to base 16\nAnswer: 7d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 0.9. Let y = k + -0.63. Let u = y - -0.0303. What is u rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4052*m**3 + 2322*m**2 wrt m?\nAnswer: -24312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + q. Let r(u) = -18*u**2 + u - 1. Let f(g) = 2*m(g) - r(g). Let h = -56731 - -56730. What is f(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*4\/8*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/4 + 5*i**3\/2 + 147*i**2\/4 + 110*i + 76.\nAnswer: -(i - 19)*(i + 1)*(i + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 33, 29, 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-5) - (-18)\/(-10). Let h = -7403 - -7417. Let t(y) = 8*y - 2. Let f(d) = d. Calculate h*f(n) + w*t(n).\nAnswer: -2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m**3 + 86*m**3 + 49*m**3.\nAnswer: 110*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -139, -244, -379, -544?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f - 64. Let p be ((-32)\/(-3))\/(f\/525000). What is p rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**2 + 0 + 0)*(-6*v**2 + 3*v**2 + 2*v**2)*(2 - 5 + 0).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 3*t**2 - 6*t + 10. Let k be f(4). Let b = 6 + -3. Which is bigger: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**11\/z)**(-6\/5) assuming z is positive.\nAnswer: z**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 3 + -5 + sqrt(243) + -6*(sqrt(243) - (sqrt(243) + -4)) - (2 + 2*sqrt(243)*3 + -4))**2.\nAnswer: 1728*sqrt(3) + 4464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 4 (c) -0.2 (d) -620 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 73435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - 2 + 2 + (3 - 3 - 1)*(3*c - 2*c**3 - 3*c) + (-256*c - 301*c**2 + 256*c)*(0*c - 2*c + 0*c).\nAnswer: 606*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3274 is divided by 210?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 18*w + 21. Let o be j(-19). Let f(c) = 6*c**2 - 5*c**o + c**2. Let x(q) = -16*q**2. Calculate f(x(s)).\nAnswer: 512*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -214.236503 to zero dps.\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204, -195, -174, -135, -72?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 j, and 1 i when three letters picked without replacement from ddjniab?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n + 2, n - 4 = 2*m. Let o = m - 0. Let p = -1 + -1. Which is smaller: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0)\/(7\/49). Let m(d) = 2*d**2 - 6*d - 9. Let u(t) = 0*t - 2*t - 3*t + 0*t + 2*t**2 - 8. Suppose 0 = -b + 4*b - 18. What is b*m(a) + o*u(a)?\nAnswer: -2*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10110 - -23?\nAnswer: 10133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -205*q + 216*q + 5 + 39 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.50906 + -5.9411. Let r = h + -4.56. Round r to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10982.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 37918842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Express 260*s**4 + 28 - 13 - 2*s**2 + 2*s + s**3 - 13 - 2*s in the form k*s**3 + u + y*s**2 + d*s**4 + v*s and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 2\/11 (b) 9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 8*a - 5. Suppose -2*x - 2*w + 3*w - 18 = 0, 4*x + w + 24 = 0. Let c be i(x). Solve -c = -3*n + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h + h**3 + 6 - 12 + 6 in the form z*h**3 + m + f*h + l*h**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**2*k**3 + b**2*k**2 - 67*b**2*k - 2*b*k**3 - 9*b*k**2 - 2*b wrt b?\nAnswer: -8*k**3 + 2*k**2 - 134*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -33. Suppose 3*k = l - 2. What is the third derivative of 3*b**2 + 3*b**3 - b**3 - 2*b**3 - 2*b**k wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8931*r**2 - 4468*r**2 - 4465*r**2 + r**3 + 36 + 2*r**4 in the form m*r**4 + k*r**3 + h*r + u*r**2 + o and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 0.054975.\nAnswer: 4.945025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 0*g + 0 + 75\/8*g**4 + 274*g**2 + 1\/7*g**7 - 28\/15*g**6 - 1\/2*g**5 + 0*g**3 - 1\/336*g**8. Find u, given that m(u) = 0.\nAnswer: -1, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*a**2*z**2 - 2614*a**2 + 135*z**2 wrt z?\nAnswer: -20*a**2*z + 270*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*l**3\/2 - 54655943*l**2\/6 - 17781380928020*l\/3 + 846732487112\/3.\nAnswer: -(l + 1301332)**2*(21*l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5\/168822, -9 in descending order.\nAnswer: -5\/168822, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -57. Suppose 0 = g*y - 17562 + 2253. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 37. Let u(a) = a + q*a**2 - 1 - a + 2*a. Is u(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 3927. Let d(v) = -v + 16. Determine a(d(t)).\nAnswer: -t + 3943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/(-182) + (-2768)\/78 + -1. Let v = c - -1093\/30. Does 1 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2. Let p = -25 + 301\/12. Let x(f) be the third derivative of 0*f + 0*f**3 + 3*f**2 + p*f**4 + 0. Calculate x(g(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**5 - 18496888*t**4 - 19369*t**2 + 4*t + 444 wrt t.\nAnswer: 120*t**2 - 443925312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2477 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 337\/122, 44 in descending order.\nAnswer: 44, 337\/122, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-2 + -1) + 14 + (2130 - -5). What is the highest common factor of z and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10276595?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -36.32 (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59\/23 + -1609\/161. Is o equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 12*i**2 - 13*i. Let k be c(13). Solve -5*l + 2*p + 11 = -6*l, k = -l - 4*p - 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 619 = -3642*i + 3688*i - 71. Suppose -31 = -3*z - 4. What is the highest common factor of z and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = v - 4*q, -q - 6 = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 - 198b991?\nAnswer: -198b980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 16, -5*j + 2*d - 2 = -5. Let t = -0.6 + 0.9. Let i = -509.24 - -505.24. Which is the third biggest value? (a) j (b) i (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 30*q**2 + 15*q - 25. What is the remainder when i(-3) is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2756)\/1855*7\/2)\/(9\/30)?\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8219 = -2484. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99013, -198206, -297413, -396634, -495869, -595118?\nAnswer: -694381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*o**2 + 2 - 2*o**2 - 2 + (2*o - o + o)*(-2*o + o + 0*o) + 2*o**2 + o**2 - 2*o**2 + o**2 - 6*o**2 + 3*o**2 + 3*o**2 + 0*o**2 - 5*o**2 + o + 1.\nAnswer: -9*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 6 - 26 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 a when four letters picked without replacement from aqaqyaaaaqqaqy?\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 93623\/(-746) + (-40)\/16?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 3. Let q(c) = -7*c + 13. Let r(l) = -2*q(l) - 9*s(l). Differentiate r(p) with respect to p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -146, -667, -1560, -2825, -4462?\n\"Answer: -186*f**2 + 37*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 11:13 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14755 and 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oloo when four letters picked without replacement from {l: 1, o: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -26*s + 0 + 37\/120*s**6 - 4\/3*s**4 + 3*s**2 + 0*s**3 + 1\/30*s**5. Find the second derivative of r(p) wrt p.\nAnswer: 222*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 l when four letters picked without replacement from {h: 5, b: 1, k: 7, l: 1}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 15, k: 5}. Give prob of picking 2 l.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -980 divided by -3\nAnswer: 980\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 9*x - 8. Let s be a(-8). Suppose s = 3*r - 41 - 70. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -2\/11 (c) -11 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.1 - -2.33873316.\nAnswer: -5.76126684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 25, -23 in descending order.\nAnswer: 25, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s = -48. Let f be (-11 - s) + (-2)\/(-2). Suppose -10 = 7*k - f*k. Let a(m) = -3*m + 2. Give a(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**5\/60 - b**4\/6 + b**3\/2 - b**2. Let p be h(-4). Let t = 10 - p. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -30 + 3*1\/3. Let h = d - -17. Round h to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 + -0.6776. Let t = 0.18 + -0.2. Let b = a + t. Round b to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102213 (base 5) to base 10\nAnswer: -3433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 4:50 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/50*((-8)\/16 + (-2)\/4).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 27. Let d be w(12). Suppose 0*l = -l + d. Suppose -n - 3*i = -49, -l*n + 0*n = 5*i - 139. What is the remainder when 84 is divided by n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m**3 + 5*m - 5. Let w(q) = -7*q**3 + 6*q - 6. Let t = 21 - -342. Let u = 357 - t. Give u*s(a) + 5*w(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 + 75*o**2 - 6848*o\/5 + 29904\/5.\nAnswer: -(o - 356)*(o - 12)*(o - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -919, -3729, -8439, -15055, -23583, -34029, -46399?\n\"Answer: -u**3 - 944*u**2 + 29*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 2*c**2 + 3*c - 4. Let q be u(-5). Let w be (20 + (12 - 5))\/(3\/q). Suppose -5*v + w = -381. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4507, -5498, -6489, -7480, -8471?\n\"Answer: -991*m - 3516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 10 = 4*g, 5*g - 2*f = 2*f + 5. Suppose -3*r + g*i = -13, -3*i + 6*i = 5*r - 11. Does r = -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, p: 2}. What is prob of sequence pzzp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 537*c**2 - 515*c**2 + 3*c)*(-1 + 1 + c).\nAnswer: 22*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 374105599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-18) - 11\/(1485\/30). Let 2\/9*a**4 - 4\/9 - 10\/9*a + v*a**3 - 2\/3*a**2 = 0. What is a?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1215, 1126, 1037?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -9*k. Let c(a) = 13*a. Let z(j) = j**3 - 7*j**2 - 8*j + 7. Let n be z(8). Suppose 4*u = 5*h, 4*h + 0*h + 4 = 4*u. Give n*i(o) + u*c(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 6*l - 4*l)*(-11987*l + 11987*l - 184*l**2).\nAnswer: -368*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) 7 (c) 0 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -120.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -20*l**2 - 10*l + 20. Let v(x) = 27*x**2 + 14*x - 28. Let d(s) = 5*v(s) + 7*z(s). Let t(y) = -4*y + 4. Determine d(t(i)).\nAnswer: -80*i**2 + 160*i - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 2*z - 1. Let g be u(1). Suppose 5*d - 3*d - 101 = -5*s, -g*d = -3*s - 109. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000000 - -11?\nAnswer: -1111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 85*u**4\/12 + 145*u**3\/3 - 100*u**2 + 133*u. Suppose c(f) = 0. Calculate f.\nAnswer: -4, 10\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkj when three letters picked without replacement from jdtkjtlb?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -10*b - 159. Let k(i) = 8*i + 158. Calculate 3*c(z) + 4*k(z).\nAnswer: 2*z + 155","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.14615079 rounded to 2 dps?\nAnswer: 26.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.65 and 113600293.\nAnswer: 113600299.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-6))\/(7\/28))\/(((-21318)\/9504)\/(-323)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 40020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/7 + (-33 - -32))*-7. Is (-1)\/r*(-68202 + -15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -75 + 72 + (7454 - 1).\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1029142935 divided by 5\nAnswer: -205828587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 3664 and 6899.3805.\nAnswer: 10563.3805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 203\/3, -27, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 + -1 + 49)*-1*1\/1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 - 82. Let f be 1 - 24\/20 - 2\/i. Solve 3*n - 6 + 15 = f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4207 = -y, 0 = 3*z + 9*y - 6*y - 4197. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115710 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121 (base 3) in base 12?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 453 divided by 9203\nAnswer: 453\/9203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 389 + -389. Sort s, 0.37, 0.1.\nAnswer: s, 0.1, 0.37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) 0.4 (b) 1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-33)\/(-12))\/(2\/8). Suppose -t = 3*h + 1. Let d be 106 + (-5)\/(10\/h). What is the greatest common divisor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -205 + 448*y**2 - y - 2*y**3 - 449*y**2 - 130 - 109 in the form g*y**3 + n + o*y + t*y**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snennnejnneneyyny. Give prob of sequence es.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 3475 and -0.0117 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, i: 6, s: 1, c: 3}. What is prob of picking 1 c and 1 s?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*x - m, -3*x + 2*m + 2 = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4}. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049768 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 3*y - 3. Solve -4*b + y = -11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b**2 - 87*b - 4*b - 4 - 34*b + 2.\nAnswer: 14*b**2 - 125*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5152*b = 139244 + 535668 for b.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 7. Let v = 5 - 4. Let l = u - v. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 30325290*c**3.\nAnswer: 3*c**3*(c + 10108430)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-912)*-56*-27)\/(-6*4\/(-64))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1193, 2533, 3869, 5201, 6529, 7853, 9173?\nAnswer: 10489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 39 = 33. Suppose -4*v + 12 = 2*n, -n - 4*v = -3*n - 4. Solve -n*a - 4 - q = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6269806 to the power of 1\/2, to the nearest integer?\nAnswer: 2504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2243555 (base 7) to base 9\nAnswer: 465762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/8 and -15\/114236.\nAnswer: 228472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -128*x**6\/15 + 616*x**3\/3 + x**2 + 32*x. Differentiate l(m) with respect to m.\nAnswer: -3072*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 201408 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j - 2. Let v be a(-2). Suppose 66 = v*b - 62. Let d = 100 - b. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/4, 0.085, 0, 2 in decreasing order.\nAnswer: 2, 1\/4, 0.085, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 12 = w. Let y = -14 + w. Let j = -41\/2 - y. Which is the nearest to -0.1? (a) -2\/7 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201845?\nAnswer: 3, 5, 19, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38908796*t**3 + 83643122*t wrt t.\nAnswer: -233452776*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -674.71 or 2\/7?\nAnswer: -674.71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/(-8))\/(15\/20))\/((-15)\/(-387))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*-3*(-1 - 4). Suppose -5*o - 18 = -3*d + p, 2*d - 2*o - 48 = 0. What is the remainder when d is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a year?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 2*h**2 + h**2 - 7*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4742 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 4.1. Let x(l) = -3*l - 3. Let g(m) = m + 1. Let z(o) = -17*g(o) - 6*x(o). Let d be z(-5). Which is the nearest to q? (a) d (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38270768 to the nearest integer?\nAnswer: 6186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 835754 or 5850270\/7?\nAnswer: 835754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.2, 2, -0.3, -2, 0.05?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - 245\/4. Let d(j) = j**2 + 48*j + 471. Let f be d(-34). Let w = 0.52 - 0.5. Which is the nearest to r? (a) -0.3 (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 2. Let r be c(-4). Let q be (1\/r)\/(1\/(-8)). What is the first derivative of 3*v**3 - q*v**3 + 2 + 0 wrt v?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2015566 is divided by 30994.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3*v**2 + 2)*(-v**2 - v**2 - 1 - 1 + (v + 0*v - 3*v)*(0*v + v + 9*v)) + 0 + 0 + v**4 to w*v**4 + u + o*v + c*v**3 + s*v**2 and give w.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**4\/20 + 176*i**3\/15 - 177*i**2\/10 - 1710. Solve s(t) = 0 for t.\nAnswer: -177, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -583*x - 2433. Is s(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4996, 4997, 4998, 4999?\n\"Answer: w + 4995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 125, 0.0009, 0?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 936*i**2 - 445233*i - 894186.\nAnswer: 3*(i - 261)*(i + 2)*(i + 571)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 + -40. Let h = -1.252 + 6.902. Let z = -5.35 + h. What is the fourth smallest value in -3\/4, i, z, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/667191?\nAnswer: -2\/667191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 15) to base 16.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 2 - (2 + -1) - 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 2 + 0*h**2 - 2\/3*h**3 + 0*h**4 - 1\/6*h**6 + 0*h**5 + 0*h. Find the third derivative of g(a) wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -156257808 + 3?\nAnswer: -156257805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2 - (-6 - -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*-4 - sqrt(2)) + (sqrt(32) + -1)**2 + sqrt(32) + (sqrt(36)\/sqrt(2) + 1 - sqrt(18)).\nAnswer: -13*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2. Let h(p) = -p**2. Let t(o) = -o**2. Let l(v) = 4*h(v) - 2*t(v). Give l(d(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65274 is divided by 553?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0.4, -5, -11, -957\/10, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 16*b - 8 = 0. Let r be -1 + 3 - 4 - -12. Calculate the greatest common divisor of r and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 78106*w**2 - 7*w - 5. Let c be k(-13). What is c rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*m - 5*m = 21, 2*m = 4*f - 18. Let d(y) = 6 + 2*y - 4 - 4 + 0. Let v be d(f). Solve -k = v - 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -23\/10*i**5 - 81*i + 13\/6*i**3 + 0 + 1\/12*i**4 + 0*i**2. What is the third derivative of b(z) wrt z?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42 + 8?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 13. Suppose -d - 2*b = 5, 3*d + 6*b + z = b. Let x be ((-19)\/4)\/1 + d\/36. Let f(s) = s - 7. Let q(i) = i - 4. What is x*q(o) + 3*f(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*l - 46 + 8 = 0, -10 = z + 3*l. Let k = -28 - z. Let r = 28 - k. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 20.2. Let t = -0.19 + -1.61. Let v = i + t. What is the closest to 0.1 in v, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*f - 11 + 11)*((-1 - 1 - 1)*(5*f - 2*f - 4*f) + 0*f + f + 0*f) - 3*f**2 + f**2 + 4*f**2 in the form r*f + u*f**2 + l and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2556 and 5022?\nAnswer: 713124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 0 + -2 - -23?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = y - 22, -4*y = -5*s - 16 + 33 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (116\/87)\/(((-3)\/(-18))\/((-1)\/2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (588\/8 - 5) + (5871\/114)\/103?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.043 * 3591245.\nAnswer: 154423.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -27, -4 in increasing order.\nAnswer: -27, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x**2 + 0*x - 2*x - 7*x + 17*x**2 = 0. Calculate x.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146131 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 24. Let u = 0 - j. Which is smaller: u or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-76 - -17) - (2 - (2 - -1)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -10. Let k be l - -5 - (-3)\/1. Suppose -4*h + 1 = -4*f - k, -2*f + 4 = 0. What is the nearest to 3\/2 in h, -2, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 14.07. Let q = 0.14 + z. Let v = -2.93 - q. Which is the smallest value? (a) -0.3 (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15247 and 245496.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*y = -30*y + 895914. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a2 + -6?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {z: 1, l: 7, s: 7, y: 2}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (4 - 6) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -129475162*n*w + 9*w + 1967290 wrt n?\nAnswer: -129475162*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 + 12 + (1062 - 1055)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49641388 times -2?\nAnswer: -99282776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -18. Suppose -5*f - 4*a = -21 - 19, -f - l*a = -19. Determine w so that 8*w**2 - 36*w**f + 16*w**4 - 8*w**3 - 4*w**3 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 591, 667, 795, 975, 1207, 1491?\n\"Answer: 26*k**2 - 2*k + 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3223 + 0.3223. Sort 1, 0.4, -2, o, 13 in decreasing order.\nAnswer: 13, 1, 0.4, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from elewweeeeewepwwe.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*h - 77, -2*j - 3*h + 132 = 2*h. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8385\/11 - -469569\/616. What is the common denominator of g and 59\/1232?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0.5, -16.\nAnswer: -16, -14, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 9*t - t**2 - 12*t + 49*t**3 + 3*t as s*t + l + v*t**3 + j*t**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/48 and -73\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (6 + (-2 - 8) - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*m**3 - 944825 - m**4 - m + m**4 - m**4 + 944822 to the form z*m + a*m**3 + o*m**2 + l*m**4 + g and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -107\/5*j**5 + 12*j + 24 + 0*j**4 + 0*j**3 + j**2. What is the second derivative of h(p) wrt p?\nAnswer: -1284*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 0.07, -1157, 3\/5, -0.2.\nAnswer: -1157, -3\/5, -0.2, 0.07, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 3639*o**2 + 7280*o**2 - 3644*o**2 - 74 - 39.\nAnswer: -3*o**2 - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + d)*(0 + 1 + 0)*(1 - 2*d - 1)*(d**3 - 10*d**3 - 64*d**2 + 11*d**3).\nAnswer: -4*d**5 + 128*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klmkokkvxmmoml. What is prob of sequence mvm?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 8525*b - 8523*b + 25564*b - 41 - 8519*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 4*w + 11, 735*w - 740*w + 10 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -1\/210*q**7 - 2\/3*q**3 + q**2 + 1\/20*q**5 + 1\/60*q**6 + 0*q + 0 - 1\/6*q**4. Factor j(h).\nAnswer: -(h - 2)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2395 = 5*t, 17*t - j - 953 = 15*t. Calculate the greatest common factor of t and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 87\/27 + (-4)\/18. Suppose 0 = t*v - 3*j - 15, -2*j + 0*j - 16 = -4*v. Let k(h) = -3*h + 18. What is the units digit of k(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2)*(-9 + 3). Suppose 3*v = 9 + r. Let n be (-270)\/(-35) - v\/(-14). Solve k + 2*a - 7*a = -n, 0 = 2*k - a + 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = -4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, k: 2, s: 5}. What is prob of picking 2 k and 2 s?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 828 = 4*x. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*o**3 - 6*o**3 - 20 - 8*o**3 + 18*o**3 wrt o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132688234 to the power of 1\/2, to the nearest integer?\nAnswer: 11519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/10)\/(-17)*(512\/(-4))\/(-16)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, c: 2, q: 9, z: 4}. Give prob of sequence cqzc.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 825314257*w**3 - 324626*w - 305.\nAnswer: 4951885542*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2269*c - 11860. Give t(-5).\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 14*u - 4 = 0. Let z be u\/(-2 - (-93)\/47). Round z to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*o*p**5 - 2*o*p**2 + 72*o - 1641*p**5 - p**2 + 7 wrt p?\nAnswer: 720*o*p**2 - 98460*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**5\/150 - 6*z**2. What is b in c(b) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10543699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/2)\/w*w)**(3\/25))**(-1\/55) assuming w is positive.\nAnswer: w**(9\/2750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -1916276?\nAnswer: -95813.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 - 5.92. Let a = 5 + p. What is the second biggest value in a, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 96247 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*m + 111*m - 59*m + 14 - 2*m - 2*m - 3*m + (25*m - 10*m + m)*(-3 + 6 - 4) as i + v*m and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/3 + 128*i**3\/3 - 1916*i**2\/3 - 1408*i - 726 = 0.\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 15 = 0, 3*a - 7 - 4 = 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -200 + 336. Let u(g) = 1320*g + 2709. Calculate the remainder when h is divided by u(-2).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31881 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 23930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/4)\/b**(-25))**39)**(-19\/3))**13 assuming b is positive.\nAnswer: b**(-324311\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 8*b - 9. Let d be r(11). Suppose 0 = -4*x - 0*x + d. What is the remainder when 9 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*m - 47\/8*m**2 - 1\/2*m**3 + 27\/8.\nAnswer: -(m + 3)*(m + 9)*(4*m - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + 664510611?\nAnswer: 664510563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3.6. Let x = o - 1.4. Let q = 0.7 + 2.3. Are x and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 + 7.86. Let p = o + -8.2. Let z = 0.216 + -0.166. Sort -1, z, p.\nAnswer: -1, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -12. Let k(m) = 0*m**3 + o*m - 8*m - m**2 + m**3 + 2*m. Let n be k(2). Solve n*v + 2*g - 10 = -2, 0 = 3*g - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355370400 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1076)\/6)\/(3\/(-27)). Suppose -2 = -t*y + 1612*y. What is the smallest value in -1, -1\/3, y, 79?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1985452848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 454 + -395. Let l = p + -58.8. What is the biggest value in -1, -0.9, 2\/15, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1138739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111705924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = 2*y. Let z(i) = -6*i + 45. Let h be z(7). Let p(l) = l**3 - l**2 + 2*l - 3. Let s(d) = d**3 - 2*d**2 + 2*d - 4. Determine h*s(m) + y*p(m).\nAnswer: -m**3 - 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14376600 + -0.062446.\nAnswer: 14376599.937554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - -14. Let q(i) = 3 - 4*i + 3*i**2 - 2*i + 3*i. Let d be q(2). Calculate the highest common factor of d and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116 (base 14) to base 3.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.8. What is the smallest value in s, 0.1, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8496359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 7*y**2 + 5*y - 1. Suppose -4*o - 16 = 24. Let q be ((-2)\/(-3))\/(o\/90). What is j(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = i - 6*i + 1128, 4*b = -3*i + 1120. Suppose 19*n = 18*n + b. List the prime factors of n.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**2 - 325*l + 107247. Give j(128).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l - 10. Let m be k(-4). Let p be 2 + 0 - -2*(-33)\/m. Let w = p + 166. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -628637 - -654511.7. What is w rounded to the nearest 100?\nAnswer: 25900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2*v - 2, -2*v = -6*v + 4. Let g(r) = 4*r**2 - 5 + 7 + r + 1. What is the tens digit of g(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 5\/23 (c) 0.5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.447 to 0 dps.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**4 + 5922*n**3 - 145644*n**2 - 1034082*n - 1631313 = 0. Calculate n.\nAnswer: -3, 31, 1949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 454677?\nAnswer: 32\/454677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 11600000 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03439431 - -0.4.\nAnswer: 0.43439431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 146 - 142. Suppose -4*v = -k*f - 1776, v - 5*f + 1731 = 5*v. List the prime factors of v.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 14077 = 5648. Let q = z + 372. List the prime factors of q.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 26 = 46. Let c = j + 32. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*c**5 + 6*c**4*u*y**2 + 14*c*u*y**2 - 7*u*y + 2*u + y**2 wrt c.\nAnswer: -1700*c**3 + 72*c**2*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 9 (c) 4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**2\/4 + 78741*r\/4 + 19686 = 0?\nAnswer: -1, 26248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*l - 223*l = -3479. What is the lowest common multiple of 4 and l?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26723, 26384, 26045, 25706, 25367, 25028?\nAnswer: 24689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 d when three letters picked without replacement from lqrqqqqlqqlqqd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 14*l - 2. Let x(u) = 2*u**3 - u**2 + 27*u + 4. Let n(r) = 11*f(r) + 6*x(r). Let q be n(6). Let a = q + -27. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v + 1. Let m(s) be the first derivative of 5\/2*s**2 + 0*s - 165. Determine -3*m(u) - 2*o(u).\nAnswer: -5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cce when three letters picked without replacement from {u: 2, c: 4, e: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + -8.03. Let q = -11.1 - v. Let j = q - -0.1. Put 2, j, 4\/3 in decreasing order.\nAnswer: 2, 4\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20594 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -17*u - 2. Let b(a) = -a - 1. Suppose 2*x = 4*m + 2, -12*m = -10*m + 3*x - 11. Calculate m*z(g) - 2*b(g).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(3\/2)*p*p))**(-2\/21)*(p*p\/((p*p**(2\/17))\/p))**(-3\/14) assuming p is positive.\nAnswer: p**(-59\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*h = -43*h + r - 72, -r = -4*h + 54. Suppose -3*i + 6 = -120. What is the greatest common factor of i and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*t - 2*t - 3*t + 33*t + 29 + 7*t.\nAnswer: -t + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i. Let u(f) = -12*f. Let d = 20 - 12. Let o(b) = 4*b. Let p(z) = d*o(z) + 3*u(z). Give p(t(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2327.\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {l: 2, w: 3, k: 1, d: 11, m: 1, z: 1}.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -3\/2, 4, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -43*k - 56. Let z be h(16). Let m be 1 + 1281\/(-3) + -1. Let q = m - z. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 8*v**2 - 12*v - 5. Let m be p(-9). Suppose 3*r - 4*r + m = 0. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + 87 - 0 - -1) + 0?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 11*h**3 - 3*h**2 - 4*h - 5. Let f(r) = 34*r**3 - 10*r**2 - 12*r - 16. Determine -3*f(k) + 10*z(k).\nAnswer: 8*k**3 - 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 411303355 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*i*k - 12*i*p*q**2 + k*p + 3*k*q**2 + 9*p*q**2 wrt k.\nAnswer: -14*i + p + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.98276 + 0.01724. What is the third biggest value in z, -4, 0.5, 147, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -j + 15, -20 = -3*o + o + 2*j. Suppose z - 6*z - 3*f = -455, -f - 455 = -o*z. Calculate the remainder when z is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7381901 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) -10 (c) -4\/177 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5572, -21360, -47670, -84502?\n\"Answer: -5261*x**2 - 5*x - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -804 + 4179 = -375*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v**3 + v**2 + 8*v. Let q(m) = 5*m**3 + 8*m. Give -5*q(s) + 4*r(s).\nAnswer: -s**3 + 4*s**2 - 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*(sqrt(300) + 0 + 2))**2 + (-1 + sqrt(300) + 0 + -2)**2 + 5) + 5.\nAnswer: -60*sqrt(3) + 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4\/5, -0.07, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51973\/45 - -1155. Let h = 1\/15 + r. Let n = -279 - -279.5. Which is the second biggest value? (a) h (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2, 5, 4, -52, -1 in increasing order.\nAnswer: -52, -1, 2, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/203 in -5.13, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98050 and 7816546.\nAnswer: 195413650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**2\/6 + 6565*h\/6 - 1095 = 0. Calculate h.\nAnswer: -1314, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {s: 1, c: 2, b: 5, m: 2, v: 6}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 5. Let w be d(-6). Let l be (-8)\/(-4) - (w + -19). Solve -l = -x - 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 132*q**2 - 130*q**2 - 14*q**2.\nAnswer: -12*q**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8*p - 323. Determine s(48).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q**(-2))\/q))\/q)**(-42)*(q\/(q*q\/q**3))**(-35) assuming q is positive.\nAnswer: q**(-154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10.943 - -0.75\nAnswer: -10.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*28\/462*12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65 * -901.346.\nAnswer: 58587.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 + 85 = 4*r. Suppose a + 3*a = r. What is the lowest common multiple of 10 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -111*v + 81. Let r(g) = -3*g - 1. Let f(j) = m(j) - 3*r(j). Differentiate f(t) with respect to t.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 820 and 164.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -208372 - 274628. What is o rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -1 - 14) + 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1401 and 956416?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4552554 and 1850.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {v: 4, d: 10}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107800994 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 530309315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*160\/16*6\/3?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}