diff --git "a/data/dm_maths/full_data/11159_11255.jsonl" "b/data/dm_maths/full_data/11159_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11159_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in 10*v - 46*v + 2*v**2 + 21*v + 15*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -13. What is the third derivative of 7*i**3 - 20*i**2 - 28*i**3 - 7 + l wrt i?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/7 (c) 30042.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.02 and -3.\nAnswer: -3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4\/7 - 702*v**3\/7 + 56596*v**2\/7 - 215280*v\/7 = 0. What is v?\nAnswer: 0, 4, 117, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + n + 2. Let c be k(6). Let u be (-3)\/((-6)\/c - 0). Let s = 22 + u. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45950399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3834643 is divided by 1635?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -26. Let a(f) = -f - 7. Let x be a(-6). Let n = 1 - x. Put z, n, -5 in descending order.\nAnswer: n, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 6*d + 75 = -69, 0 = -305*n + 304*n - 4*d + 81 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/767 or -17?\nAnswer: -2\/767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*y - 119499998 = 0, -3*r + 4*y - 3*y + 71699999 = 0. What is r rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110 + -10001?\nAnswer: -10001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**3\/3 + q**2 + 2*q + 4. Determine g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34216812299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*m + 5 = 0. Let t = 76 - 79. What is the fourth biggest value in 0, t, m, -0.09?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405514619 minus -413?\nAnswer: 405515032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367598209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -16, -3 in descending order.\nAnswer: 5, -1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f + 5. Suppose -49 = -2*z + 9*z. Let q be 1*z + 7 + -4. Determine d(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nndm when four letters picked without replacement from dmnnnfnnnnnnnnn?\nAnswer: 11\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8.9*4252\nAnswer: 37842.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 49.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126 + 90. Let c = i - -40. What is the second smallest value in 0.1, -0.2, c, -3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 147817488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1900967537 to the nearest integer?\nAnswer: 43600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 32*q - 37. Let u be y(17). What is the remainder when 44\/(-16)*36*u\/3 is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001111 - -1101?\nAnswer: 100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.34, -0.8, -30 in decreasing order.\nAnswer: 0, -0.34, -0.8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 422 + -422. Solve h + d + 2 = 0, p = 3*h - 6*d + 3*d - 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**5\/60 + w**4\/24 - 5*w**3\/3 - 8*w**2. Let d be o(-9). Let f = -39 + d. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 7\/6*u**3 + 0*u + 0 + 2*u**2 + 5\/24*u**4. Is 14 a factor of m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 12:25 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -28*j + 2. Let u(d) = -27*d + 1. Let y = 3469 - 3466. Determine y*u(h) - 2*z(h).\nAnswer: -25*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2108\/13871 - 2\/1067. Which is the fourth smallest value? (a) -0.4 (b) -3 (c) h (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c - 17*c = -4030797 + 787637. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 528 (b) -5 (c) 1702\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, -0.3, -5\/4, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.551 take away 8?\nAnswer: -6.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4022 a factor of 366372446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 22 + 0)*(-i**2 + 3*i**2 + 0*i**2)*(3*i**2 + i**2 - 2*i**2)*(0 - 2*i + 0)*(23 - 56 - 53).\nAnswer: 12384*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + 12 + -8 + -8 - -12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.2, -0.3, 3\/56, -18555 in descending order.\nAnswer: 2\/7, 3\/56, -0.2, -0.3, -18555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1328 and 0.63.\nAnswer: -1327.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.386, 4\/7, -2\/7, 2.67?\nAnswer: -0.386","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37\/2*u + 9\/2*u**3 + 12 + 1\/2*u**4 + 3\/2*u**2 = 0. Calculate u.\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-4 - -8) + -8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1055000 divided by -4\nAnswer: -263750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29 - 3*z + 0*z**2 - z**2 - 31.\nAnswer: -(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**6\/60 - c**5\/5 + c**4\/4 + 10*c**3\/3 - 29*c**2. Factor p(n).\nAnswer: 2*(n - 5)*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m + 4923*m**2 - 4925*m**2 - 3*m + 89 to the form l*m**2 + u*m + o and give o.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1033585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 749*c**2 + 1 - 2 - 752*c**2 + c**3. Let y(u) = -2*u**3 + 5*u**2 - u + 2. Give 10*d(l) + 6*y(l).\nAnswer: -2*l**3 - 6*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 10 = 5*y - 5, -15 = -5*y - w. Find f, given that -3 + y + 43*f**2 + 7*f**2 - 8 = 0.\nAnswer: -2\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6*1)\/((-4)\/(-10)). Solve -5*m - w = 5*i, -2 + 20 = 2*i - 4*m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 5. Suppose -1 + s = 5*w. Let o(d) = -d + 2. Let j(p) = 2*p - 3. Let z(h) = -2*j(h) - 3*o(h). What is z(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 383, 373, 357, 335, 307, 273?\n\"Answer: -3*j**2 - j + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*b + 22500 + 144171. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 - 1 - 2*x**2 + 2*x**2 + x**2. Suppose -t + 9 = 2*t. Suppose 4*q + 1 = -t. Calculate n(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1955 or -1940?\nAnswer: -1940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12736 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-7)*21\/6. Suppose c*d = -7*d + 143. What is the remainder when 47 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2229*n*q**2 - 2*n*q + 164*n wrt q.\nAnswer: 4458*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2. Let u(f) = 12*f - 12*f + 8960*f**2 - 11459*f**2. Give z(u(m)).\nAnswer: -6245001*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, z: 4, q: 2, c: 2, h: 4}. What is prob of sequence hqqh?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*c - c. Suppose -2*l + 5*x + 103 = 0, -c*l - 2*x + 249 = -6*x. Suppose -11*r = -4*r - l. Which is bigger: -1\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3638830 = -165*h + 3504378 - 1153048. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2685 + 1943?\nAnswer: -942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqkuddb. What is prob of sequence kde?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703209?\nAnswer: 3, 13, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bb (base 13) in base 8?\nAnswer: -503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**3\/6 + 3*m**2 + m. Let c be 13 - ((-55)\/11 - -12). Calculate y(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 112 = -2*h - 2*f + 104, -5 = 5*h - 5*f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 186 + 5?\nAnswer: 18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -2027 - 523. What is the remainder when z is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + g**2 + g - 1. Let n(c) = 3*c**2 - 1 - 2*c - 4*c**3 + 6*c - 3*c. Let s(w) = -2*n(w) + 2*x(w). What is the third derivative of s(l) wrt l?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*-2*2\/56. Let f = -18 - -9. Let m be (-4)\/(-10) - f\/(-35). What is the closest to w in m, 0.4, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 51\/(-9))\/((-707)\/(-840) + (-260)\/325)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 348.99529 + -349. Round k to 4 dps.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1654 + 53594 = 119*b - 31598. Calculate the greatest common factor of b and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 9323?\nAnswer: -9325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.54495 kilograms in grams?\nAnswer: 60544.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.5915191 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, l: 3, g: 5, h: 2}. What is prob of picking 1 w, 1 g, and 2 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (227\/1362)\/(2\/60). Let q = 57 + -398\/7. Let f = 14 - 3. What is the second smallest value in q, 0.1, l, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + 1 + sqrt(35)\/((sqrt(448) - (sqrt(448) + sqrt(448)*-2 + sqrt(448)) - sqrt(448)) + sqrt(448)))*4.\nAnswer: sqrt(5)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 57 = 6*l. Let v be l\/84 + (-2)\/8. Let y = -7.4 + 7. Which is the third biggest value? (a) v (b) y (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d. Suppose 5*w + 4*b = -19, 0 = 4*w + 3*b + 11 + 4. Let f(s) = 2*s - 1. Let g(y) = w*l(y) - 2*f(y). What is the units digit of g(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 38 (b) 2 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (3 - 2) + 133 + -127\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12098\/(-66539)*(-253)\/12.\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 191*x + 120. Does 11 divide u(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2562414 (base 7) to base 15.\nAnswer: 6923c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 58 = 4*p, -2*a + a - 2*p = -14. Calculate the remainder when 27 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 6*c**2 - c + 10. Let p be w(6). Suppose -x = -p, 16366 + 43630 = -4*z - x. What is z rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 355*a - 20584. Calculate y(58).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-4)*p)**38\/(p**(-2\/11)\/p*p)**3 assuming p is positive.\nAnswer: p**(-830\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -1\/50*x**5 + 4*x - 1\/5*x**2 - 1\/5*x**3 - 1\/10*x**4 + 0. Let g(n) = 0. Calculate n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 189.82 + -189.42. Let h be ((-1)\/(-5))\/((-36)\/(-135)). What is the nearest to 2 in s, h, -0.09?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 6:46 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -35348519, 4 in descending order.\nAnswer: 4, 3, 1, -35348519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in 4, 0.1, 1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x - 7. Let q be r(-5). Let a be 3155\/15*(0 + q). Suppose 0 = -7*z - 162 + a. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24400 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14\/213 (b) 10 (c) 2\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5)*2)**2 + (4*(-1 + sqrt(5)))**2 + -1.\nAnswer: -32*sqrt(5) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6 and 12676?\nAnswer: 12675.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85285 - -143788. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = d - 2, -3*x - 2*d + 1120 = 0. Suppose -7*i = -15*i - x. Let z = 90 + i. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 - -69 - -3)\/((-3)\/(-3)) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3832470916.\nAnswer: 2, 53, 18077693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (sqrt(448) + -1 + sqrt(448))**2).\nAnswer: -128*sqrt(7) + 7176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 227, 2 in increasing order.\nAnswer: 1, 2, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -13 + 12 - 17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sseeyhhbhhh. What is prob of picking 1 h and 1 s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.34 - 0.04. Let f = -2.1 - -0.1. Let a = f - -2. What is the nearest to 0.2 in a, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 12:14 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-8)*c*c))\/(c\/c**(-14)))\/(c**4\/c)**(2\/29) assuming c is positive.\nAnswer: c**(-267\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1302, 5106, 11408, 20208, 31506, 45302?\n\"Answer: 1249*b**2 + 57*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -44. Suppose 95 - w = 4*q. Which is greater: 18 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2142 - 46.6.\nAnswer: -2188.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 51 = 3*o, 394*d - 395*d + 13 = -o for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.24956825775 and 94.\nAnswer: 94.24956825775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 8*b**6\/3 - 26*b**5 + 965*b**4\/12 - 235*b**3\/2 + 90*b**2 - 857*b. Factor g(d).\nAnswer: 5*(d - 4)*(d - 1)*(4*d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5036734?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3833452 (base 10) to base 13\nAnswer: -a42b1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (34\/(-204))\/((-4)\/114) + -5. Let w = 197\/91 + -30\/13. What is the closest to x in -6, w, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/39 (b) 4 (c) 2 (d) 0.2 (e) 3 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1826*j + 7183 = -20207 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200655, 200656, 200657, 200658?\nAnswer: 200659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-4)*60\/125. Let p = -7\/10 + h. Let l = 4 - 2. Which is the nearest to p? (a) l (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -56203, -56244, -56283, -56320?\n\"Answer: k**2 - 44*k - 56160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3 = -z, a + 9 = -0*a + 3*z. Solve 0 = -a*w - 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28*27\/(-3969))\/((8\/162)\/((-38)\/57))?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*g - 4. Solve f = -g*p - f + 8, 24 = 4*p - 2*f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 156 (b) 41 (c) 6 (d) 1\/4 (e) 0.4 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 5*h - 1. Let r be m(-5). Put -6, -4, r in ascending order.\nAnswer: -6, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 + 0*s**2 - 2*s**4 + s**2 - 1 + 14*s + 2 to z*s**3 + r*s**2 + h + f*s**4 + g*s and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.623972656 rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4)*76\/57\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4\/5 + 4332*k**3\/5 + 6447048*k**2\/5 + 2272046224*k\/5 + 50153813280.\nAnswer: -4*(k - 2025)*(k + 314)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 780\/(-10140)*(-13)\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1892*c - 74057 = 776*c - 23365 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d - 140. Calculate the lowest common multiple of k(19) and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1378 + -1371. Solve -m + 3*m - 17 = 3*h, h = m - u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 + 2795733772.\nAnswer: 2795733809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04202 and -1.\nAnswer: 0.04202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 13*a - 3. Let j be x(-12). Suppose 66 = -6*s + j*s. Suppose -s = -8*y + 26. Calculate the highest common divisor of 24 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 8\/3*z + 2\/3*z**2 - 1\/12*z**4 - 2\/9*z**3 - 16. Find h, given that v(h) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 9:44 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*u + 4*u - 4, 3*a - 12 = 0. Let i be 1*(-6 + (u - -4)). Let w(f) be the first derivative of -f**2\/2 + 3. Calculate w(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4104343 (base 9) in base 16?\nAnswer: 2162eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 210.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51530.\nAnswer: 2, 5, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-5)*((-2)\/(-2))\/((-11)\/143)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 359*k**3 - 2*k**2 + 0 + 3 - 358*k**3 + 5*k**2 to the form r*k**3 + n*k**2 + h*k + x and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-39)\/(-26))\/(9\/9942) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, y: 1, m: 7, x: 7, v: 2}. Give prob of sequence mjy.\nAnswer: 7\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -318594 divided by -3?\nAnswer: 106198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -17*h**3 - h - 1. Let k = 5 - 6. Let m be q(k). Solve -25 = -5*s, 3*x - 5*s + m = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 720036 and 19888?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(j + 2*j + j + 3 - j - 3 + (-2 - 4 + 4)*(2*j + 3*j - 3*j) + 2*j - 4*j + j) - j + 2 - 2.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/21, 1870475, 1?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*f - 14261 + 13173 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2*(2\/(-4)*-6)\/((-42)\/98)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15782844 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 4*(-2)\/(-8). Let z = 10 + -6. Suppose j*o - z*o = -4. Which is greater: 2\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*w + 94 = 25, 0 = -3*k + 5*w + 75. What is the highest common divisor of k and 2500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44651, 1, -4.\nAnswer: -44651, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 562179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) 4 (c) -1 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 9, n + 10 = 4*o - 25. Let u = 13 - o. What is the third derivative of -4*v**5 - 5 - 5*v**2 + u wrt v?\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43504855?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 25 = 81*c, -16*v - 25 = 3*c - 21*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1446579mg to grams.\nAnswer: 0.0001446579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 175737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.008 + -402.992. Which is the nearest to -1? (a) f (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 539, 2, 18, 1 in decreasing order.\nAnswer: 539, 18, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2767604801 to the nearest integer?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y + 3*y + 38*y**3 - 121*y**3 + 0*y + 11*y**2 wrt y?\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h = -67*h + 54 + 186 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 6. Let j(i) = 7 - 1 - 2 - 5. Determine -5*j(t) + o(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 68000283 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: Let o(r) = -2*r**3 - 26*r**2 + 10*r - 19. What is o(-13)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -78 (base 10) to base 13\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 39 = -9*t. Is -40 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqw when three letters picked without replacement from dmsddqmqwwqd?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -667b4 (base 14) to base 15.\nAnswer: -4d960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w + 42 = 35*w. Let a = w - 13. Is 130*a - 1\/((-2)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235851, -944482, -2125893, -3780084, -5907055, -8506806?\nAnswer: -11579337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97.46, -13, -0.18.\nAnswer: -13, -0.18, 97.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 10:52 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 9:29 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x. Let d(v) = -1. Let m(o) = o - 3. Suppose 3*z - 5*z + 2 = 0. Let l(y) = z*m(y) - 3*d(y). What is w(l(a))?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*o = -2*i - 36*o + 14, -47 = -5*i - 2*o for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38 + 2?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.534 to 1 dp.\nAnswer: 21.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) 3\/5 (c) -1180\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 6. Suppose 0 = 3*g + 18 - 6. Is g*(-1)\/(m\/23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -11. Let l = 1 - 1. Let p be 161\/(-420) - (-6)\/45. What is the nearest to l in 2, b, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 1 - 29. Suppose 4*u + 8 = 0, 3*u - l = -2*w + u. Suppose -w*j = -4*j - 20. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(99)\/sqrt(9)) - (-3 + -2*sqrt(13))**2) + (sqrt(3744) + 2*sqrt(3744) - sqrt(26) - sqrt(26))\/((sqrt(50)\/sqrt(5))\/sqrt(5)).\nAnswer: -61 + 23*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 4:01 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 23*x**3 + 8*x - 2. Suppose 261*w - 258*w + 24 = 0. Let l = 205 + -202. Let f(h) = 8*h**3 + 3*h - 1. Give l*r(v) + w*f(v).\nAnswer: 5*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -21*k**3 - 5*k**2 - 5*k. Let w(s) = -62*s**3 - 14*s**2 - 14*s. Give -14*d(q) + 5*w(q).\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -2535046.\nAnswer: -253504.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5437 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29992*m**3*p**3 + 18*m**3 - 504*m**2 - 2*m - p**4 wrt p.\nAnswer: -89976*m**3*p**2 - 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - g + 1 + (3932 + 4997 - 9954)*(-4*g + 6*g - 9*g))*(-5 + g + 5).\nAnswer: 7174*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 smaller than 228\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/1 + -5)\/4. Which is the biggest value? (a) h (b) 5 (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppspspsssspsss. Give prob of picking 1 p and 1 s.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfbf when four letters picked without replacement from {b: 13, f: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -57.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5555.537976 rounded to the nearest one hundred?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 38 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10573626.\nAnswer: 2, 3, 7, 17, 59, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80309701?\nAnswer: 80309701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Round 19382205.13 to the nearest ten thousand.\nAnswer: 19380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 49 = 3*h, 3*z - 15 = 4*h + 51. Is (h\/5 + -2324 - -1)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffd when three letters picked without replacement from {f: 7, d: 1, m: 4, i: 1}.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.14 + -0.099. Let q = 14.9329 - 14.9. Let f = q - b. Round f to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 730896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 16) in base 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/4*(-66)\/(-5). Suppose 55 + v = c. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*s + 1 - 18*s + s**2 + (0 + 0 - s)*(s - 4*s + 5*s).\nAnswer: -s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 490422739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -188 + 182. Suppose -5*j + a = 35, 3*j = -2*a - 0*a - 21. Do v and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14706, 29411, 44116?\nAnswer: 58821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 18 + 0*t**2 - t**2.\nAnswer: -t**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 take away -71625253?\nAnswer: 71625254.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7328*n + 1080. Let f(s) = -1047*s - 162. Determine -20*f(g) - 3*q(g).\nAnswer: -1044*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxexbxxxxxxxbxxxev. Give prob of picking 1 e, 1 x, and 1 b.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k - 3*z - 11 = 0, -3*z = 3. Suppose -h - 21 = -6*h + 3*c, -23 = -5*h + k*c. Solve -t + 5*o = h*t + 9, 3*t + 7 = 4*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 16 = d - 2*l, -2*l = d - 12. Solve -2*n + 4*j = -16, -4*n + 0*j + d = -2*j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvqzzqvqzqzqqqqzz. Give prob of sequence qzqq.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 times 259652\nAnswer: 41544.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 747, 1356, 1967, 2580?\n\"Answer: m**2 + 606*m + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 3. Suppose j + 158 = 155. What is the nearest to 0.1 in p, -0.03, j?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 2*d - 27*d.\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 250*u**2 + 2*u. Let c(a) = 48*a - 9. Let s(m) = 53*m - 10. Let j(n) = 10*c(n) - 9*s(n). What is r(j(g))?\nAnswer: 2250*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -176461 divided by -477?\nAnswer: 176461\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -12. Suppose 0 = 9*r - u*r + 39. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -40. Let i = 101 - b. What is the remainder when i is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 5*p - 6. Let d be v(-6). Solve d - 1 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(26)\/sqrt(2) - (sqrt(39)\/sqrt(3) + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**6\/540 - 121*o**5\/270 - 1349*o**4\/36 - 2527*o**3\/3 - 1242*o**2. Factor l(i).\nAnswer: -2*(i + 7)*(i + 57)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 22. Let o be (2\/6)\/((-6)\/(-27)). Which is the nearest to 0? (a) i (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/75 or -4\/403?\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(396) + -4 + 4)**2 - (2*-2*sqrt(11) - (-2 + (sqrt(11)*3)**2 + sqrt(11))).\nAnswer: 17*sqrt(11) + 494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*d - 429*d = 117 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -76, 478, 0, -11?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 4*o = x + 150, 2*o + 3*x = 100. Let c = o - 15. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -10*z + 9*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + h - 1)*(2*h + 2*h - 3*h) + 4*h**2 - 7*h**2 + 4*h**2 + (-5*h + 2*h + 2*h)*(-4 - 3*h + 4) + (0 + 0 - h)*(h + 0*h + 0*h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 y when four letters picked without replacement from jjtttjtijyjjjttj?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-12) - (-4 - -5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -653\/882 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 112100677 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -27 - -23 - (-1 + -3). Let z be 4\/20 + (-267)\/(-15) - o. Suppose -4*s - z = -142. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.0599.\nAnswer: -0.1198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23886 take away 3946611?\nAnswer: -3970497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1786*f**3 + 2*f**2 + 74*f wrt f.\nAnswer: -10716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*((2*f + 2*f - 3*f)*(-1 + 0 + 3) + 2*f - f - 2*f - f + 5*f - 2*f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yly when three letters picked without replacement from {j: 1, l: 1, y: 2, z: 1, v: 1, s: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7727*h - 23680 = -3822*h - 3313*h for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-405)\/10*(-1624)\/(-1827)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - z**2. Let k(j) = 3*j + 19. Let t be k(-3). Let i(c) = -c**3 + 7*c**2 + c + t*c**2 + 2*c**3 - 22*c**2. Give -a(o) + i(o).\nAnswer: 2*o**3 - 4*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86 - 78. Suppose 0 = -3*q - 5*d + 382, 5*q - s*d = -3*d + 690. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 40 = 34. Let a be (-8)\/(-4) - 4 - 120. Let q = g - a. What are the prime factors of q?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -299222 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4514 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: Calculate (8 - 15 - (0 + -1)) + (4 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-63)\/7 + 19 - (7 + -2). Let z(j) = -j**3 - 3*j**2 + 3*j - 3. Let p be z(-4). Put p, w, -4 in increasing order.\nAnswer: -4, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.6 + 4. Let w = -29.3 + 29. Which is the second biggest value? (a) 4 (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75.33 + 75. Let k = f + 0.34. Let n = 1.01 - k. What is the nearest to n in -5, -0.13, 3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.486886 to 3 decimal places.\nAnswer: 5.487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 + 63 + 59 - 2*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*d + 31*d - 12*d)*(-4*d + 2*d - d) to l*d + i*d**2 + u and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 586 + -584. Solve 2*f = -0*f + i*k + 4, -3*f = 2*k + 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4434 = -51*i - 3773 + 7493 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1160*i**2 - 811*i**2 - 341*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/5 + -59\/35. Which is the nearest to 0.2? (a) 2 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**3 + 4*i**2 - 14*i + 56. Give y(5).\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 55\/(-70) - 2\/(-4). Which is the second smallest value? (a) -3 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a*a**(-2\/9)*a*a))\/(a*a**(-12)))**(-4\/21))**(-12\/17))**(2\/75) assuming a is positive.\nAnswer: a**(2656\/80325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 + (-66)\/18)*-1*6 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrdfdrohffof. What is prob of sequence ff?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -350*y**3 - 3*y**2 - 6*y + 34. Let r(p) = 349*p**3 + 4*p**2 + 5*p - 35. Let w(v) = -4*b(v) - 3*r(v). Find the second derivative of w(o) wrt o.\nAnswer: 2118*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*u + 1 = u, -3 = -3*u. Let l be 3 - (-3)\/15*-5. Suppose 0*j + 6 = l*j. Solve 9 = j*x - t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/l**(-1\/2))\/l*l*l*(l*((l**(-5)\/l)\/l)\/l)\/l)\/(l**1\/l**(-4))*(l**3*l*l*l\/(l\/(l\/(l*l\/(l**(-4)*l)))))**0 assuming l is positive.\nAnswer: l**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide -4*(-11)\/(-22)*-32468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -481, 2, 1, -2\/177, -0.3, 0.4 in descending order.\nAnswer: 2, 1, 0.4, -2\/177, -0.3, -481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1307628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t - 1. Let h be v(2). Suppose 5*u + 0 = -2*k - 13, -3*k - h = 5*u. What is the units digit of ((-3)\/(-9))\/(u\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/280245 and -123\/208810.\nAnswer: 10649310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -188 + 184. Is (-3 - 0) + x + 5645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 21391.\nAnswer: 213910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**8\/16 + 3*l**5\/5 + l**2. What is the third derivative of r(m) wrt m?\nAnswer: 1260*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3425.297ml?\nAnswer: 3.425297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulu when three letters picked without replacement from {u: 4, h: 4, l: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -3*v - 2*y - 105, -5*v = -4*y + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iig when three letters picked without replacement from lgmlmmgddldimddid?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3040 and 124.\nAnswer: 94240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 3 = 7. Is h equal to -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 3:25 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -n - 4, -3*r + n + 23 = 19 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 152698493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.309 + 0.691. Let s = -2.9 + -0.1. Sort s, z, -3.1 in descending order.\nAnswer: z, s, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 11. Let o be 21\/45 + 2\/(-6). What is the third biggest value in -1\/2, d, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78621830 is divided by 634047.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/71 in -3, 2\/9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -1) + -1 + 0. Suppose 7*w = 4*w + h. Calculate the remainder when 30 is divided by -4*(15\/(-4) + w).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 2*i**2 + 4*i + 3. Let v be s(4). Let t = -10 - v. What is the highest common divisor of t and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*r = -516 - 69 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*v + 111 = 0, 3*m - 2*m = -2*v + 30. Round m to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2401400000 - -133?\nAnswer: 2401400133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5*j - 44*a + 47*a, -4*a + 2 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - -2251940?\nAnswer: 2251939.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 6. Let z be x(3). Let v be (0 + 3)\/z*0. Suppose w - 10 = -3*y, y - 3*w = -3 + 23. Solve 0*g - y*g = -3*i + 17, v = 3*g - 3*i + 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 5*k + 6. Let d be 40 + (-3 - (3 - 11)). Suppose -10*t + d = -15. Determine u(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 9:06 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 9*r**3 + 728695*r - 728695*r.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 37*m - 25. Let d be w(1). Solve 4 = d*k - 16*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858782 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.32 + -0.21. Let w = -9.29 - y. What is w rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + -1 - 9 - (2 + 48\/(-15)). What is the closest to 0 in -7.9, 3\/20, 1, f?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/17)\/i**10)\/(i**(1\/3)*i*i**(-1\/9)))**(-41) assuming i is positive.\nAnswer: i**(69659\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 49*x - 594. Let m be v(-27). Is m < 1\/2652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -543 + 102 + 43*w**3 - 41*w**3 + (-2*w**2 + 6*w**2 - 2*w**2)*(w - w - w) + 5*w**3 - 4*w**3 - 2*w**3 as g + d*w + u*w**2 + k*w**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3553602.321000562 + 3553543.321. Let c = -59 - v. Round c to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2904926664 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1568645517?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 140*d**6*h + 38786*d**3*h*q**2 + 159*d**2*h*q**2 - 3*d**2*h - 835*d**2*q**2 - d + q**2 wrt d.\nAnswer: 16800*d**3*h + 232716*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*r - 172 = -72*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13446465 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 21*x**2 - 2*x - 35. Let y be f(21). Let l = y + 89. What is the tens digit of 2534\/l + -2 - 3\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 18 + 6. Suppose 0 = -d*c + 2*c + 4. Solve 4*k = 3*k - c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v + 12. Let p(t) be the first derivative of -13*t**2 - 60*t + 1253. What is 16*i(w) + 3*p(w)?\nAnswer: 2*w + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69561 - 69552. Suppose r - x = 3*x, 0 = 4*x. Solve r = 4*m + 7 + s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 5, -2\/9, 374, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2593*h + 17*n = 2596*h - 240, -2*h + 3*n + 35 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 2346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/4 - 3\/6. Suppose 2*x = -5*r + 29, v*r = -x - x + 20. Let b(g) = 2*g**2 - x*g + g**2 - 5*g**2 - 6. Give b(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 + 850552*s\/9 - 90429838088\/9.\nAnswer: -2*(s - 212638)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2055 + 0.2055. What is the second smallest value in -28\/5, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*b + 3*l + 1, -3*l - 11 + 30 = 2*l + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 - 57*d + 397. What is n(32)?\nAnswer: -3475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 32, 57, 88?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -1, -20, -49, -88, -137?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8da06c (base 14) to base 15\nAnswer: 655e91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 24 (c) -0.1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y = 9*y - 3*o - 16, -o = 3*y + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 498 divide 44884623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78\/(-117)*(-81)\/4*42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 + 14*d - 12. Let h(x) be the first derivative of -x**2\/2 + x - 18. What is -a(f) - 12*h(f)?\nAnswer: 2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*x + 6*x = -6, -d + 5*x = 33. Let l be (-86)\/d + 2\/8. Suppose -m = -7 - l. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 65, 143, 261, 425, 641, 915, 1253?\nAnswer: 1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**3 - 2*u**2 + 5. Let t(i) = i**2 - 1. Suppose -52*c + 50*c + 6 = 0. Suppose 5*y = -2*q + 3, -4*y + 4 + c = -3*q. Calculate y*x(k) + 2*t(k).\nAnswer: 4*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1082681068*w**2 + 380842392*w wrt w?\nAnswer: 2165362136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -965 and 37.\nAnswer: -35705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1252423, 5009692, 11271811, 20038780?\n\"Answer: 1252425*g**2 - 6*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*k + 30. Let q(g) = g**3 - 6*g**2 + 2*g - 8. What are the prime factors of q(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -1\/2, -161, -3 in ascending order.\nAnswer: -161, -3, -1\/2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 8*b + 3. Let r be q(-8). Does 9 divide (-1)\/r + 140\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 82, 121, 158, 193?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.992001 months to decades.\nAnswer: 0.083266675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3cc + 99?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 398, 25, -2388 in decreasing order.\nAnswer: 398, 25, -2388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -9986772 >= -9986772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -318*m + 52. Let a be c(-6). Is a + 34\/(-10) + 18\/45 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:12 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6173020 is divided by 799?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 1 + sqrt(19) + 0 - (-3*sqrt(190))\/sqrt(10) - (sqrt(4617) + sqrt(4617)*1 + sqrt(4617))\/(sqrt(3) - (sqrt(243) - sqrt(27))).\nAnswer: 1 + 52*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 2:40 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10321202233 (base 4) to base 6\nAnswer: 43305411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 5040396?\nAnswer: 1\/1680132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 14, -8, -48, -112, -206?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p - 2*p + 1329256*p**3 + 13*p + 767003*p**3.\nAnswer: 2096259*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.5 at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1911813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**2 - 54404*s - 8751360 = 0.\nAnswer: -159, 13760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*b - 2143 + 2080 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 496 - 494. Sort 1, 0.1, w, -11 in increasing order.\nAnswer: -11, 0.1, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -505 (base 6) in base 14?\nAnswer: -d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 7*g - 5. Let i be h(5). Suppose 6*w + i*f = 2*w + 37, 5*f = -3*w + 34. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 - 6*v**2 + 265 + 22*v - 2*v**3 + 6*v**2 - 265 to h*v**3 + o + z*v**2 + a*v and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zffzzkkzkk. Give prob of picking 2 f and 2 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36*(-494)\/5187*(7\/(-2) - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*w - 31, -4*v - 5 = -13. Let u = -19\/2 - w. Let i = u - -1\/4. Which is the biggest value? (a) i (b) -1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 37*y + 19. Let r be p(14). Let d = 105 + r. Sort d, -5, 8, 2.\nAnswer: -5, d, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-105))\/(2\/6) + 12\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -10*z + 4. Let q be ((-25306)\/(-6))\/(8\/(-6)). Let l = 3183 + q. What is the common denominator of r(-4) and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (2 + 0 + -4 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 75, 113, 151?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4848000 rounded to the nearest 100000?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 3178?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -141\/67 in 14, -454, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 3*n - 6. Let q be u(0). Let j(w) = -2*w - 8. Let v be j(q). Solve v*b - 15 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*j - 118*j = -3*v - 12, 7*j - 4*v - 16 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p**(1\/2)*p)\/p)**48*p*p\/p**14*(p\/(p*p*(p*p*p**(-6\/13)*p)\/p))\/p assuming p is positive.\nAnswer: p**(1358\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7164065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**6 - 9501986*t**3 + 6762059*t**2 wrt t?\nAnswer: 120*t**3 - 57011916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 2*z. Let c(u) = -u + 4. What are the prime factors of c(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrrjoqjrqjl. What is prob of picking 1 o, 1 l, 1 q, and 1 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + -4.2. What is the nearest to 2 in 2, z, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 3*j - 51196 + 50996, j - 70 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -466, -491, -504, -499, -470, -411?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 310*n**2 - 983*n + 68. Determine l(5).\nAnswer: 2903","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-24))\/(11\/(-242)). Let g = 19\/6 - i. Suppose l + 4*l = 0. Which is smaller: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**7)\/((y*y*y\/((y**(-8)*y)\/y))\/y)*(y*y**0\/y)**(-19))\/((y**(-5)*y**(-8))\/(y\/(((y*y**1)\/y*y)\/y*y))**(1\/9)) assuming y is positive.\nAnswer: y**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -325 + 219. Let y be h\/(-10) - 9\/15. Calculate the highest common factor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-seven halves of a millimeter?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 23*d - 17. Suppose -v + 18 = -3*k, -19*v + 17*v + k + 16 = 0. Let y(m) = -5 - 13 + 8*m + 18 - v. Give -6*n(o) + 17*y(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = -5*d - 396. Find the common denominator of 0 + d\/(-110) + 9\/15 and 43\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 1\/6*g**3 + 0 + 1019\/6*g**2 = 0.\nAnswer: -1019, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 1)*5\/10. Let y(l) = 4*l**2 + k*l**2 - 3*l**2. Let a(o) = -2*o**2. Give y(a(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 3.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 38*q**2 + 39*q + 3. Let b be y(39). Is 1\/(b\/158577 + 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) - sqrt(102)*1*-6) + (sqrt(102)*3 + sqrt(102))*-2 + sqrt(102))\/(1*sqrt(96) - sqrt(2646)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 56 + -43 - (-54 - (-2 + 0))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90061356 to the power of 1\/2, to the nearest integer?\nAnswer: 9490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.436 + 0.064. Which is the nearest to 0.1? (a) m (b) -1\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s\/s**(-9)*s)\/s))\/(s*s**(-8)*s)*(s*s**(-2\/5)*s)\/(s\/(s*s\/(s*s**7))) assuming s is positive.\nAnswer: s**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18441120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 10426\nAnswer: -7298.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.32819384 to two dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46449176297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 8*s - 34. Let n be i(8). Which is smaller: -33 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 11. Suppose u = -r - 2*r - 33. Do r and -11 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16\/64 - 367\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1921\/(-6) + (-5)\/15. Let d = v - -295. Let y = -81 + 570\/7. What is the common denominator of y and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-106.4.\nAnswer: -1915.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from ggbxbxgbbgxxbgb.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 1. Let k(i) = -3*i - 3. Let o(t) = -k(t) - 2*w(t). Let g(s) = s**3 - 3*s**2 + 2*s. Suppose -m = -0 - 2. Let l be g(m). Give o(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-85)\/30 - -9 - 6. Which is the closest to 9? (a) 2 (b) y (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 5*q - 147, 4*u = -q + 2*q - 196. Let v = u + 51. Suppose 4*d + 3*w = 15, -w - 5 = -4*d - v*w. Solve d = 7*h - 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8 = r, -2*w - 23 = -3*w + 5*r. Suppose 5*u + w*q + 3684 = u, u = 2*q - 932. What are the prime factors of u\/(-7) + 1 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -352090\/121 or -2910?\nAnswer: -352090\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12057738 divided by -6.\nAnswer: -2009623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 0 + 5\/7*y**2 - 2\/7*y = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r + 22. Determine m(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91262 smaller than 91263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3888*p**2 + 56*p - 167. Is b(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2)*-1)**2*-1 - (sqrt(288) - (-3 + sqrt(288) + sqrt(288)))).\nAnswer: -60*sqrt(2) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 1 + sqrt(2448) + (sqrt(102) + sqrt(102)*-3 - sqrt(102) - sqrt(102))\/sqrt(6).\nAnswer: 1 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*b**3 - 8676906*b**2 - 203348028*b - 1191156600.\nAnswer: 3*(b - 59050)*(7*b + 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:10 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - 4 - (21 + -41) - (1 - -2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5445) + 5*(sqrt(45) + 1))**2.\nAnswer: 288*sqrt(5) + 11529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274 divided by -843.\nAnswer: -274\/843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - -237. Let q be (230\/(-23))\/(i\/(-246) - -1). What is the tens digit of (q\/(-40))\/(3\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 3586*u + 20. Let c(l) = l**2. Determine h(c(j)).\nAnswer: -2*j**4 + 3586*j**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -1591*a**5\/20 + a**4\/6 - a**2 + 1437*a. Find the third derivative of j(o) wrt o.\nAnswer: -9546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 189352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36103620 and 1340.\nAnswer: 36103620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6757*r - 54046. What is j(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*m - 0*m. Let f(g) = 4*g - 3. Let l(x) = -5*x + 4. Let y(u) = -4*f(u) - 3*l(u). Let w be y(m). Solve p - o = w, -4*p + 2*p = -o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -0.1, -10, -9.97 in ascending order.\nAnswer: -10, -9.97, -0.1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.13 + 0.13. Let i = v + 0.1. What is the third biggest value in -2\/3, -0.7, i?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -s, -2*g + 4*s + 4 = 16. Solve 11 = -3*j + g*v, -4*j - 23 = j - 2*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4303 * -203.\nAnswer: -290.3509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*v - 4 + 3 + 127*v - 1.\nAnswer: -28*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 7:47 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6312?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 247 = 2*j, -3*w + 635 = 4*j + 96. Let i = 138 - 74. What is the remainder when j is divided by (-5)\/((-10)\/i) - (-3 - -2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 15 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -9. Let c(p) = p**3 - 8*p**2 - p + 1. Let x be c(z). Which is bigger: -4 or x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -5, 17, 567, -4 in descending order.\nAnswer: 567, 17, -4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 447227.2 * 4.\nAnswer: 1788908.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -601981\/27225 + 2\/9075. Let s = q + 22. Let l be 1 + (4\/(-1) - 0). What is the second biggest value in s, l, -1\/7, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8250 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100641656 (base 8) to base 15.\nAnswer: 1759635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 6*g - 36744 = -214608. What are the prime factors of g?\nAnswer: 2, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, r: 1, p: 3, m: 1, g: 7}. Give prob of picking 1 r, 1 g, and 1 o.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + 0*g**3 + 3*g**3)*((1 - 2 - 1)*(-g + g - 3*g) + g - 4*g - 2*g - 842 + 842 - 113*g + (3 - 6 + 1)*(0 + 2*g + 0)).\nAnswer: -232*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2578 - -4.\nAnswer: -2574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 9*x**3\/2 + 3111*x. Let k(y) = y - 3. Let b(l) = -1. Let o(w) = -3*b(w) + k(w). Determine j(o(a)).\nAnswer: 27*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 82465057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**4 + 66*o**3 - 52*o**2 - 64*o. Let a(t) = -9*t**3 - t**2 - t. Let z(i) = 8*a(i) + u(i). Suppose z(l) = 0. What is l?\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3489.78895 to 0 decimal places.\nAnswer: -3490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 26*y**2 + y - 32. What is x(26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1866?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 43*a**2 + 2*a + 1. What are the prime factors of z(-1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -58*b**3 + 18*b**2 + 6. Let y(z) = 58*z**3 - 15*z**2 - 5. Calculate -5*d(l) - 6*y(l).\nAnswer: -58*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-seven fifths of a kilometer?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*l = -5*l + 190, -170 = 4*y + 2*l. Calculate the remainder when y\/(-35) - 2096\/(-28) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxb when three letters picked without replacement from jbxrezx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 103 = 20*y - 11*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216178809 is divided by 249.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/72 and -80\/649012887?\nAnswer: 5192103096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4890346 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 5995.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-20))\/((-2)\/16). Let k be (u + (-4)\/4 - 2)*1. Suppose 5*m = -0 - 5. What is the nearest to m in 0.3, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132 - -228. What is the greatest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-405)*1*6*(-10)\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 84*a + 66. What is x(85)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -924*f - 426*f + 14850 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoohoiotttshho. Give prob of picking 1 i and 1 o.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (90\/(-50))\/((-12)\/80). Suppose 8*u - 36 = d. Calculate the lowest common multiple of u and 134.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3324, -7812, -15304, -25806, -39324, -55864, -75432?\nAnswer: -98034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137 - 94. Let v = k + -22. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8376838 and -0.23534213.\nAnswer: -8376838.23534213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**3 - q**2 + 9*q + 5. Let w(z) = z - 10. Let i be w(5). Let x(u) = 2*u**3 - u**2 + 5*u + 3. Calculate i*x(m) + 3*s(m).\nAnswer: 2*m**3 + 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -35 + 2*l**2 + 2 - 32*l - l**2 + 0*l. Let i be k(14). Let z be 1000*(-3 - i - 2). Round z to the nearest 10000.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -482715896, -482715895, -482715894, -482715893?\nAnswer: -482715892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/(-3) - (-2)\/(-3). Let f = -0.1023 + -0.0977. Which is the closest to -1? (a) l (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6157405 (base 8) to base 12.\nAnswer: 667319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14389601209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 6:59 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(48\/4 + -3 - -1). Suppose 5 = 3*n - 10. Let p(m) = n*m + 5*m - l*m - 2*m**2. Let u(r) = -2*r**2. Give u(p(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m = -92. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63731?\nAnswer: 101, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 17 + 39. Suppose 367 = 6*f + 337. Suppose -r + f = o. Is r >= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -42*(-5 + (0 - -3)). Let z = 139 - y. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k + 6. Let a(v) = -4*v - 3. Let s(t) = 9*a(t) + 4*q(t). Calculate s(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46052287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*u**5 - 35*u**5 - 16*u**5 + (0*u**4 + u**4 + 2*u**4 + (-2*u + u**3 + 2*u)*(3*u + 2*u - 4*u) + 3*u + 2*u**4 - 3*u)*(5*u + u - 3*u).\nAnswer: -24*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11831 (base 9) in base 4?\nAnswer: -1330132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2 = 4*f, 5*f - 3 = -6*s + 3*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.50202 centuries to years.\nAnswer: 1750.202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13102 - 1224?\nAnswer: 11323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulv when three letters picked without replacement from yuymyymlyyvyluquyvu.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 6*q - 44. Let i(f) be the third derivative of 0*f + 0*f**5 + 0 - 1\/210*f**7 + 0*f**6 - 3*f**q + 0*f**4 - 5\/6*f**3. Differentiate i(b) wrt b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -176, 0.4, 5, -1, 11, -2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3399*b**2 - 6225*b + 1146.\nAnswer: -3*(b + 2)*(1133*b - 191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y**3 - 5*y**2 - 14*y + 29. List the prime factors of f(8).\nAnswer: 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*m = 39*m + 34*m + 31 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*m - 6*m + 17, 4*m - 2*b - 10 = 0. Let l = 1 + -1. Suppose l = m*j - 7*j + 3556. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*14\/60*6\/14.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3864898 and 21084.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1.6. Let i be 55\/150 + 2\/(-10). What is the third smallest value in i, 0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9 + 28 = 5*m, 10 = 2*m. What is the first derivative of 1 - 2*f**z - 2*f**2 + 2*f**2 wrt f?\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -8*t + 57. Let q(i) = 4*i - 28. Suppose -2*r + 30 = 4*l - 0*r, 3*l = -2*r + 24. Let c(z) = l*k(z) + 13*q(z). Does 7 divide c(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sum -10 and -82.9607.\nAnswer: -92.9607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 192*a = 69*a - 63*a + 10384 for a.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(78)*5)\/(sqrt(66)\/((sqrt(275) - sqrt(11)) + sqrt(11)) - sqrt(6)) + ((sqrt(78) + (4*sqrt(78)*2 - sqrt(78) - sqrt(78)))\/sqrt(6) + 2)*4.\nAnswer: 8 + 81*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13023372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 3886*y**7\/105 - 1331*y**4\/6 + y**2 + 55*y + 9. What is the second derivative of k(z) wrt z?\nAnswer: 93264*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 4*n**2 + n + 2. Let y be a(2). Let h = y + 5. Solve o - h = -2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*n**2 - 17*n - 74*n + 262*n**2 - 34*n + 266*n**2.\nAnswer: 406*n**2 - 125*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 1 - -1 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518*v + 17 = j + 517*v + 3, -4*v + 16 = 2*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (128412\/(-180873) + 2\/3)*(-3)\/(-5).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4797, 0, 6, -1.\nAnswer: -1, 0, 6, 4797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449517 is divided by 1965.\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 558, 1, 0, -2, 195 in increasing order.\nAnswer: -2, 0, 1, 22, 195, 558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2350 divided by -338668\nAnswer: 1175\/169334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 485006, 485110, 485210, 485306, 485398, 485486, 485570?\nAnswer: 485650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 13*x**2 + 12*x - 4. Let a be m(-12). Let z be 2\/(-8) - (-1)\/a. Which is bigger: 2\/11 or z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6) + -16 + ((-5928)\/(-16))\/13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 15*m - 3. Let p be i(2). Suppose p = -u - 2*u. Let g be (-2)\/9 - (-2969998)\/u. Round g to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-9) - 1)*63\/(-15)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*h - 23 = -5*q, -5*q = 2*h - 101. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28\/9*t - 4\/9*t**2 + 32\/9 = 0. Calculate t.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 267 + -299. Is x <= -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*h + 63 = 0, 39 = -q - 4*h + 6*h. Let n be q*(150\/(-6))\/5. What is the greatest common factor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-45802)\/(-4))\/(4\/(-64)*-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -205913, -205672, -205429, -205184, -204937, -204688, -204437?\n\"Answer: f**2 + 238*f - 206152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*j - 31*j + 14*j in the form g + s*j and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(320)*-1.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -267 - 903*j - 270 + 805 - 268 to v + g*j and give g.\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303922072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-432)\/(-96)*(-60)\/(-54)*4\/30. Suppose 3*f - f = 8. Which is the third smallest value? (a) f (b) 9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/(-15))\/(9\/15). Let u(a) = a**3 - 7*a**2 + 11*a + 7. Let z be u(w). Solve -5*q + 3*d = -10, z*q - 20 = q - 2*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*x - 8, -34 = -5*r + 3*x. Suppose 4*w - 11 = r. Let u = w + 3. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 184*v + 1617. Determine c(91).\nAnswer: 1799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/70 + (-53380)\/(-1600) + -33?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3935 - 3935 + 275*c.\nAnswer: 275*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4943b37 + -2?\nAnswer: 4943b35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/112 and -13\/20?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(sqrt(612) - (sqrt(612) + -1 + -5)))**2 + (-3*(3 + (sqrt(51)\/sqrt(3))**2) - (-4*(sqrt(153) - -2*sqrt(153)))\/sqrt(9)).\nAnswer: 12*sqrt(17) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 1. Let d(c) = 9*c + 7. Let v(h) = -d(h) - u(h). Let p be v(-6). What is the highest common factor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**4 + 24*r**3 + 125*r**2 - 63817*r?\nAnswer: -24*r**2 + 144*r + 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 278649 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (-8 + 24) - -13)*(-1)\/(-1). Solve -4*t + 20 - 40 = q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15255 and 1080.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 4:41 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 538641 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 242, -2, 1 in descending order.\nAnswer: 242, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r + 105 = 37*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5798 times 28601?\nAnswer: -165828598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -401*c**3 + 509*c**2 + 5*c + 5. Let q(x) = -400*x**3 + 510*x**2 + 4*x + 4. Let a(y) = 4*o(y) - 5*q(y). What is the third derivative of a(h) wrt h?\nAnswer: 2376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -2\/15*d**5 + 1\/9*d**6 - 1\/6*d**4 + 0*d + 0*d**2 + 2\/9*d**3 - 5. Factor u(v).\nAnswer: 2*v**2*(v - 1)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 13*b + 240. Is g(0) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-2))\/((-1)\/(-2)). Suppose -65*a = -73*a + 272. Suppose -a = -31*u + 59. Solve y*q + 2*r = 4*r, -9 = -u*q + 5*r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.38 + -0.25. Let b = f + -0.03. Let w = -2 + 1. What is the biggest value in 1, b, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 + 60 - -39 - 36.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, -2, -425 in increasing order.\nAnswer: -425, -6, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -951 + 266*m + 951 + 1556*m - 233*m to s + b*m and give b.\nAnswer: 1589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1546, 6 in increasing order.\nAnswer: 5, 6, 1546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 215921977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*g**5\/2 + 161*g**4\/6 + 383*g**3\/3 + 248*g**2\/3 - 128*g\/3 = 0. What is g?\nAnswer: -2, -16\/11, 0, 1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 76*q - 384.\nAnswer: -2*(q + 6)*(q + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 763831024.719 - 2\nAnswer: 763831022.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108 - 115. Sort 5, 2, x in descending order.\nAnswer: 5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02761634 rounded to three dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -362\/2015 - -4\/155. Suppose -90 = 5*b + 75. Let c be (-2)\/6 - b\/153. Sort v, -5, c in descending order.\nAnswer: c, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h + 9448 - 6*h - 5*h.\nAnswer: -3*h + 9448","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.1 + -491.9. Let p = -521.8 - q. Which is the nearest to -1? (a) p (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 219840 and 690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 9:49 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.6 (b) -2\/11 (c) 2\/311 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2\/4 + 4498*n - 1029317 = 0.\nAnswer: -18218, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69842542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/682 and -55\/7564124.\nAnswer: 83205364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x - 7. Let m be w(-3). Solve m*u = 8, 5*u = -n - n + 22 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -421 times 3?\nAnswer: -1263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*g + 2. Let i(p) = -2 - 6 - p - g + 14. Let m be i(-6). Solve -f - 8 = -m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3225 divided by 7636?\nAnswer: -3225\/7636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*r + 21*r. Suppose r*h - h = -5*o - 94, -h = -3*o - 104. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 2*c + 8. Suppose -3*p + c = -2*p. What is the remainder when (7 - p)\/((-3)\/(-50)) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w - 1 - 4 - w**2 + 3 + 2*w**2. What are the prime factors of t(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3) + 56\/12. Suppose 0*x - 14 = -x + 5*k, -44 = 4*x + a*k. What is the smallest common multiple of 3 and (-9)\/x*6\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2 + sqrt(128) + 4 + sqrt(128)*-2)*1)**2 + -3.\nAnswer: -80*sqrt(2) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 4 - 604*q + 32 - 49*q**2.\nAnswer: -49*q**2 - 604*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((3\/(-21))\/((-98)\/(-343)))\/(1\/96)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 12*i**2 - 4*i + 7. Let f be d(5). Suppose 0 = -3*x - 2*m + 275, -4*m = -6*x + 3*x + f. Does 28 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-17 - (-9 - -11) - -111) + -20?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 67 and 0.4.\nAnswer: 26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 3*k**2 + 5*k + 3. Let t be m(-4). Let f be 1*(-4 + (t - -6)). Let c = -12\/71 + 230\/2201. Is f < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/4 + (294\/24 - 13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 134940 and 8?\nAnswer: 269880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-1)*(-1)\/((-2)\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/7*a**3 + 0 - 12\/7*a - 11\/7*a**2 = 0.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, o: 11, k: 2, p: 1}. What is prob of picking 1 p and 1 o?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -350, -2, 3\/4, 2 in decreasing order.\nAnswer: 2, 3\/4, -4\/7, -2, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -104610 * 179\nAnswer: -18725190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 3*y + 846*y**3 - y.\nAnswer: 846*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25857546 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d. Let b be (2 + -4)*(0 + 0 + -2). Let w be -3 + ((-12)\/b)\/(-3) + 1. Give z(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2\/3 (b) 1\/3 (c) -0.1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136 + -140. Let d = 7 + -12. What is the smallest value in d, -0.4, -2, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 6*b**2 + 2*b**2)*(4*b**2 + 3*b**2 - 4*b**2)*(-2*b + 1 - 1).\nAnswer: 12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.2 + -4.39. Let j = 128501.8100136 + -128502. Let n = v - j. What is n rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*r**4 - r**2 + 2*r - 64?\nAnswer: -456*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328612 - 158290 - 8*z**2 - 170322.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8076*o**2 + 8*o + 5. Let m(v) = 5383*v**2 + 5*v + 3. Calculate 8*m(t) - 5*w(t).\nAnswer: 2684*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u - 13. Let y(s) = -s + 6. Let m(v) = 3*v + 7 + 7 - 9 - 5*v. Let x(i) = 3*m(i) - 4*y(i). Give -5*b(c) + 8*x(c).\nAnswer: -c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 78904 - -811.36?\nAnswer: 79715.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58905 and 115668?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2902 divide 1008610836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*a, -5608 + 867 = -3*y + 2*a. Suppose -2827 = -6*l + y. Is 49 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 68*x + 547. Let s be q(-8). Sort 1, s, -18, -5 in decreasing order.\nAnswer: s, 1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 + 125. Let g = w - 22. Calculate the highest common factor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.218401 centuries in months?\nAnswer: 5062.0812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmimmmmmmmcmm. Give prob of sequence mmmi.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -13*m. Let l(w) = 3*w. Let z = 53 - 71. Let a(d) = z*l(d) - 4*c(d). Let r(y) = -35*y**2. Determine a(r(v)).\nAnswer: 70*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 336250245?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.8357965 to three dps.\nAnswer: 12.836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-20)*28)\/(3\/(-15)). Let k = h - 24. Suppose -12*i = 26 - 194. Solve 2*d = -k*u - 8, i = -4*u - 3*d + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 53*t + 745. Determine g(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68 + 68 - 19*s**2 + (s**2 - 3*s**2 + s**2)*(-4 + 0 + 3) - s**2 - 3*s**2 - 5*s**2 - 4*s**2 + 2*s - 2*s to g*s**2 + i + v*s and give g.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12990a7 (base 11) to base 6\nAnswer: -115542532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 14. Let b be r(-18). Let t(l) = -314*l - 39. Is t(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 233*f + 23. Let t(x) = -166*x - 24. Calculate 3*t(l) + 2*y(l).\nAnswer: -32*l - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 266*d**2 - 94*d**4 + 275*d**2 - 543*d**2 + d**6 + 48*d wrt d.\nAnswer: 120*d**3 - 2256*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1934\/12 + (-3)\/18. Suppose -7*j + 31 = -130. What is the greatest common divisor of g and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65447*i**2 + 2012 wrt i.\nAnswer: -130894*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -1) + 6 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1102)\/(-14) - (-2)\/7.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 19 - 10 = 0. List the prime factors of d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 665 - 30. Suppose 3*d + 2*h = r, d = -h + 83 + 129. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*x. Suppose -2*u + 3*r = -36, -2*u = -x*u + 2*r - 16. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -1\/2, 7\/12, 7, -5 in decreasing order.\nAnswer: 42, 7, 7\/12, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000516971423 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 39 = -44*i + 105. Solve 0 = 5*g - 2*w + 19, 0 = -5*g + 6*g - 3*w - i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*y - 40, 12*j + 15 = 13*j - 2*y. Suppose 2*l - 3*l - 4*x + 26 = 0, l = -j*x + 29. Let w(i) = i + 3. List the prime factors of w(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from zyddoeej?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*q - 18 = 0, 3*q + 2*q = 15. Suppose -3*p + 7*w = 2*w + 1, k*p - w - 4 = 0. Calculate the smallest common multiple of 3 and (15\/(-9))\/(p\/(-9)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3033369885.99999943 + -3033370013. Let o = 97 + -224. Let j = o - k. What is j rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021211202121102 + 2?\nAnswer: -1021211202121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (sqrt(57)\/sqrt(3))**2).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*k - 128*k = -21. Suppose -12 = 5*i + 3, k = 2*s - i. Solve -11 = -s*o - 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -23 + (-8818 - -8827)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 6*z**2 - 4*z. Give s(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -281, -564, -847, -1130, -1413?\n\"Answer: -283*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*j + 2*i + 16, -3*j = i + 10. Let k(b) = -b - b**2 - 4*b + 3 + 0*b**2. Calculate k(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l = 20. Let x = -9 - l. Which is greater: x or -1\/14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4090732.\nAnswer: 2, 1022683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2574 and 6678?\nAnswer: 954954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6*x - 27. Let n be l(-12). Suppose -j + n = -27. Calculate the highest common divisor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 5, v: 7}. What is prob of sequence iv?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 211344 and 4998.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2084004.\nAnswer: 2, 3, 13, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26333.87 + 26456. What is b rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 + 72. Suppose 3*m - 648 = -3*l, -4*m + 5*l + 859 = i*l. Round m to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4976 - -3794?\nAnswer: -1182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -1693946.078.\nAnswer: 1693945.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + x - 4. Let i be a(-3). Suppose -i*n - 18 + 78 = 0. Solve -5*s + n = 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -3*o - 9. Let q be o - (0 + (-135)\/(-10)). Let t = 81\/8 + q. Which is the second biggest value? (a) -1\/2 (b) t (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a. Let u be y(3). Let n be -3 + 2 - u\/3. Factor -4 - 4*c + 4 - c**3 + n*c**2.\nAnswer: -c*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -57*q**2 + 1086*q - 20. Determine k(19).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(-12) + (-2)\/8. Let d = 215 + -214.9. Which is the nearest to d? (a) -2\/13 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 5*w**2 + w - 2. Let d = 5 + 2. Calculate the remainder when d is divided by k(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665065295 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*i + 1138 = -194 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -27182.\nAnswer: -27182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 + 400 = -245*j + 7. Put -22, -5, 6, -4, j in ascending order.\nAnswer: -22, -5, -4, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -18 - (-6 - -3) - 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, e: 1, f: 4, p: 5}. What is prob of sequence nef?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**5 - 216076*m**4 - 1512088*m**3 + 13396128*m**2 + 62217216*m - 248887296 = 0. Calculate m.\nAnswer: -54012, -8, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 18 = -2*n, -6*q + 9*q + 4*n = 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*p = -p + 377490, -5*p = -15. Suppose r = 5*a - 75954. Is a\/60 - (-4)\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -662 + 664. Let k be ((-28)\/70)\/((-9)\/15). Which is the closest to m? (a) 3\/7 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1924870 is divided by 206.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5*((j\/j**(1\/2))\/j)\/j)\/(j**(1\/3)*j**(1\/2)))\/(j**3*j*j**(2\/7)*j**(-2\/17)*j\/(j**(-2\/11)\/j*j)) assuming j is positive.\nAnswer: j**(-10537\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -50\/89 (b) 4 (c) -1939\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7180 + 11781. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137*j**4 - 276*j**2.\nAnswer: 3288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 157*a + 36. Determine m(-2).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.4, -4, 2\/15, -0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 11*q - 5. Let s(d) = 2*d + 2 - 7*d + 0. Let x be (-2)\/(-8) - (-28)\/16. Let r = x + -9. What is r*s(p) - 3*l(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -94111626 divided by -2962?\nAnswer: 31773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/(-144))\/(2\/(-12)))\/((-40)\/(-1020))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000615456 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -132 - -226. Suppose -5*l - t = -3*w - 34, 6 = 2*l. Suppose -w = o - 6*o. Solve 0 = -c + o*c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 21603.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 174*b - 1 - 174*b - 3 - b**3 in the form p*b + i*b**3 + g*b**2 + w and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d**2 + 237223 + 16*d - 237223 in the form s + k*d + f*d**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6102\/5 + 1221. Let s = -5.8 + 0.8. Which is the smallest value? (a) s (b) -1\/6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 54*a. Let p(l) = l**2 - 54*l - 1. Let x(v) = 3*g(v) + 2*p(v). Let r be x(-27). Put 2, 4, r in increasing order.\nAnswer: r, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, m: 3}. What is prob of sequence mrrm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7712171 not equal to -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.974 * -7165\nAnswer: 6978.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.41 - -0.81. Put 1\/5, -3, x in ascending order.\nAnswer: -3, 1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004464281314 to seven dps.\nAnswer: -0.0000446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 17*m + 1421. Suppose 161 = 3*r - 331. Suppose -g + 3*l = 3*g - r, -82 = -2*g + 3*l. What is the remainder when g is divided by j(-82)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 2. Let l(w) = w**3 + 5*w**2 - 7*w - 2. Suppose -4*h - 18 = -h. Let r be l(h). What is p(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/155772 and -59\/783.\nAnswer: 13552164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -36. Let n(a) = -a**3 + 5*a**2 + 4. Let i be n(5). Do m and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113272173.\nAnswer: 3, 7, 17, 29, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2783163, 5566323, 8349481, 11132637, 13915791?\n\"Answer: -a**2 + 2783163*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*t - 13, -3*t = -0*f + 3*f - 15. Let x be -4 + (9 + -1 - f). Determine h, given that 0*h - 2\/3*h**x + 8\/3 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/2 - -2)*-1*4. Suppose -3*p + c = p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.78 - -0.22. Let h = 88 + -790\/9. What is the nearest to 2\/7 in 1\/8, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -44, -126, -196, -248, -276, -274?\n\"Answer: i**3 - 89*i + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48.1 - -0.1.\nAnswer: 48.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25134025 - 4?\nAnswer: 25134021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 155500847 or 155500844?\nAnswer: 155500844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 21*b**2 - 440*b + 13473. What is k(25)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1290*t**2 - 57*t - 12. What is the thousands digit of p(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/4 - (-109)\/37. Let o = a + 67\/555. Which is bigger: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-3)*(-1 + 4\/2). Solve 3*n = -4*l - n + 4, l + 4*n - 13 = s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 + 57.89190267.\nAnswer: 57.19190267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2210, 16810, 41142, 75206, 119002, 172530?\nAnswer: 235790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -3c?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 37990.\nAnswer: 1063720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**10\/2520 + c**6\/120 - c**3\/3 - 3*c**2. Let f(p) be the first derivative of x(p). Find the third derivative of f(d) wrt d.\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**3 + 2*r**2 - 4*r + 3. Let f be h(1). Let p be ((-1046)\/(-4))\/(f\/(-4)). Suppose 4*o - p = 37. Calculate the remainder when o is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: aa9 (base 13) to base 16\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9806 - -9811. Let w(x) be the first derivative of -x**5 + f*x - 5*x**2 + 5\/2*x**4 + 0*x**3 - 8. Factor w(j).\nAnswer: -5*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z + 42*z - 3 + 4 + 0.\nAnswer: 22*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0*x**7 + 0*x**6 - 2*x**2 + 0*x**3 + 0 + 23*x - 59\/30*x**5 + 101\/168*x**8 + 0*x**4. Find the third derivative of t(m) wrt m.\nAnswer: 12120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 354331, 709355, 1064379, 1419403, 1774427?\nAnswer: 2129451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*z - 8, -2*z = 101*r - 104*r + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 - 106. Let j be (4\/(-10))\/(1\/(-5)). Let l(w) = -4*w + w - w**j - 4*w - 5 + 0*w. What is l(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/((-75)\/12))\/((-5)\/100). Suppose -9*m - 1728 = -36*m. What is the greatest common divisor of s and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 726*c + 726*c - 4*c**2.\nAnswer: -2*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**5\/12 - t**4\/8 + 47*t**3\/6 + 2*t**2 - 145. Let g be y(5). Which is smaller: g or -92?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2636 is divided by 190?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-20) - (-176)\/10. Let c = t - 50\/3. Find u such that c*u**4 + 1\/3 + 0*u - 2\/3*u**2 + 0*u**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 374?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -135\/98 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 2471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/(-117))\/(24\/312)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6 + (-95)\/(-15). What is the greatest common divisor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(210)\/(sqrt(18)\/sqrt(3)) - sqrt(35) - (sqrt(35) + -2*sqrt(5040)))*5)\/((-6*((sqrt(90)\/sqrt(3) - sqrt(30)) + sqrt(30)))\/(6*sqrt(6)*-1)))**2.\nAnswer: 92575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4cec + -2?\nAnswer: 4cea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/430 and 139\/258.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/10 + 48\/(-120). Suppose 0 = -l + 3*m + 2, -4*m + 7 = l - c. Solve l*t = 4 - 29 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 - -15 - (-3 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -31)*(0 - 1). Is 5\/((-20)\/(-16)) - t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -50*i**3 + 6*i**2 + i - 2. Let n be k(-1). Suppose -43*b + n*b = 40. Solve -b*c = 5*u - 40, 3*u - 3*c + 1 + 2 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107687837297.84 + 0.8.\nAnswer: 107687837298.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 41. Suppose -4*c = -4*i + 24, 3*i - 4*c + v*c = 20. Suppose i*f + 5*p = 698, 5*p = 4*p - 2. What are the prime factors of f?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-11*294\/(-231))\/((-4)\/(-2)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2\/3 - 299734*u\/3 = 0?\nAnswer: -299734, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*i + 69 = 0, 0 = -2*i + i + 2. Suppose 5*q - 15 = -3*y, -y + 2*y - 5*q - k = 0. Let v = y - -66. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3\/3 - 176*u**2\/3 - 4346*u\/3 - 6724 = 0. What is u?\nAnswer: -41, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -2143?\nAnswer: 2150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 246, 190, 162, 174, 238, 366?\n\"Answer: 2*o**3 + 2*o**2 - 76*o + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 178089, 352390, 526703, 701034, 875389, 1049774, 1224195?\n\"Answer: h**3 + 174294*h + 3794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(720)*-2 + 0 + 3*(sqrt(20)\/sqrt(4)*-6 - (-4 + sqrt(45))))**2)*5.\nAnswer: -6120*sqrt(5) + 65720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 + -0.04. Let i = -0.2 - 0.8. Let w = 3.8 + -4.8. What is the closest to i in -3, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-27)\/(-108))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l + 58. Let v(q) be the first derivative of -4*q**2 + 792. Calculate g(v(i)).\nAnswer: -16*i + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 45. Let a be 2\/(((-6)\/(-3))\/l). Let t = 27 - a. Calculate the least common multiple of t and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 178030 and 20.\nAnswer: 356060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -61, -0.03, -3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 - 23 - 8008*c**2 - 17 + 1480*c**2 to k + t*c**2 + h*c and give t.\nAnswer: -6528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10520235 + 0?\nAnswer: 10520235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 10:09 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -150, -0.079079, -0.1?\nAnswer: -0.079079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2000164, 4000325, 6000486, 8000647, 10000808?\nAnswer: 12000969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**4\/3 + 96*j**3 - 2414*j**2\/3 + 924*j + 1824 = 0.\nAnswer: -152, -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -m + 115. Suppose m*o = 27*o. Solve -2*i + x = -14, 27 = 3*i - o*i - 3*x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/190 and 73\/385.\nAnswer: 14630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - -0.06. Let d be 3\/(-2)*(-2)\/3. Which is the closest to d? (a) v (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = 6. Suppose -5*k + 9 = -w*k. What is the units digit of (3\/2)\/(k\/18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 1790*a - 8936. What is s(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*u = 59*u - 1404. Let f = 33 + -7. Calculate the highest common factor of u and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -3*u + 578. Is u a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6292488, -12584979, -18877470?\n\"Answer: -6292491*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(91)\/sqrt(112) + (2*sqrt(13)*-1)**2 + 0.\nAnswer: sqrt(13)\/4 + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-243)\/891*3025\/33\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1893, -1888, -1881, -1872, -1861?\nAnswer: -1848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105.92 - -104. Let y = j + -0.28. Let x = -2.20000066 - y. What is x rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7098, -7103, -7108, -7113, -7118, -7123?\n\"Answer: -5*f - 7093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d*i*n*t**2 + 2*d*i*t**3 + 2*d*n*t**2 - 2*i*n**2*t**3 - 10*i*n**2 - i*n*t**3 + t**3 wrt t.\nAnswer: 12*d*i - 12*i*n**2 - 6*i*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 811 - 761. Suppose 11*z + s*z - 1281 = 0. What is the highest common factor of 9 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 + (16 + -30 - -29 - 18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/3489 and 65\/3.\nAnswer: 3489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*x + 63 - 2209 + 340 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 452430201 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/692 and 49\/475404.\nAnswer: 475404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {z: 3, h: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 6 + 0*m + 1\/12*m**4 - 16*m**2 - 5\/3*m**3. Give a(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**2 - 6*u + 3. Let p be z(2). Let a = -8 - p. Let q = 37 - a. Solve 0*f = -4*f + q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1279d9 (base 15) to base 9\nAnswer: -1601016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299658 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3759516 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104 - -339. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5*(-20)\/4)\/(((-812)\/42)\/29)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15 - 5.85. Let p = z - -8. Let v = 2 - 2. Which is greater: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*o - 9 = -4*j, j - o = 3. Suppose -283 = j*w + 2*h + 3*h, 4*w = -h - 366. Let i be 38\/7 + (-52)\/w. Solve -4 = 2*k + i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**3\/3 + 50*n**2 + 99*n + 148\/3 = 0?\nAnswer: -148, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -1. Let h = -2.46 - -1.66. Let m = h - j. Sort 1, -1\/7, m in decreasing order.\nAnswer: 1, m, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-298)\/1788*3*32.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 247 + 52. Suppose -3*j + 5*y + c = 0, 3*j + 0*j + 4*y - 263 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 7*c - 208. What is s(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -v - 4. Suppose v*y + 0*y = 4. Let h(w) = 12*w**3 - w**2 + 1. Determine h(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541122 is divided by 890?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*j + 2*g, -j - 5 + 2 = -4*g. Is j <= -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4941 is divided by 2467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-4\/9))\/(k\/(k*((k**(-1\/13)*k*k)\/k)\/k)*k))\/((k*(k**(3\/10)\/k)\/k)\/(k\/k**(-4\/7)*k)))**(-2\/101) assuming k is positive.\nAnswer: k**(-223\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(80\/3388) + (-3)\/(-6). Calculate the greatest common divisor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**2 + 3*g**2 + 9*g**2 + g**2 + 0*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**2 - 319798*n - 1918752 = 0.\nAnswer: -319792, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/60700 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 2, u: 1, o: 3, m: 3, e: 1}. Give prob of sequence mp.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = n - 48436, 375*o = 380*o + 4*n - 80743. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1044590 and 70.\nAnswer: 7312130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i*w*z**2 + 74*i*w*z + 2*i*w + 3*i*z**2 - i*z - 3127*w**2*z**2 + 2*w**2 + 24*z wrt z.\nAnswer: 6*i*w + 6*i - 6254*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:43 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1 = 13. Suppose -2*m + 0*m = 2*q + 14, -2*q + t = -2*m. Let d be (-4 + 1)\/(12\/(-8)). Sort -4, m, d.\nAnswer: m, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738995225.\nAnswer: 5, 29559809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 4*m + 3*m)*(0*m**2 - 2*m**2 + 3*m**2) - 43*m**3 + 1497*m**3 + 317*m**3 in the form z + x*m + g*m**2 + t*m**3 and give t.\nAnswer: 1774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 143008001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 675 and 1134.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 45\/4 (b) -40 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 - 89 = -14*p + 324 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 86 - (4 + (90 - 107) + 12 + 1)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1167 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3)\/i)**(-2\/87))**12 assuming i is positive.\nAnswer: i**(16\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzvzzzzzzzczzzz. What is prob of sequence zc?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 23*q**2 - 72*q + 245. Let r be z(20). Sort -3, 3, 7, r, -96 in descending order.\nAnswer: 7, r, 3, -3, -96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, o: 4, v: 3, e: 6, w: 1}. What is prob of picking 2 v and 1 e?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 600709514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 14. Let n(r) = 3*r + 2. Let y(u) = 2*u + 3. Let t(h) = 4*n(h) - 5*y(h). Let j be t(5). What is the second biggest value in j, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 196 - 196.5. What is the third smallest value in 0, 3, -0.2, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -24*l**2 - 1055*l + 48. Let d be c(-44). Solve -g + 1 = 2*y, 3 = 3*y + 2*g + d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -3\/5, 3\/7, -4, 4\/39.\nAnswer: -4, -3\/5, 4\/39, 3\/7, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -910*m - 5*j = -914*m + 8, 0 = m - j - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - l - 5*l)*(631*l + 638*l - 1279*l).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 21 = -3*q. Factor -q*r - 58 - 3*r - 5*r**2 + 53.\nAnswer: -5*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229851413 a multiple of 619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -9. Let n(h) = h**2 - h. Let x(a) = -7*a**3 - 8*a**2 + 8*a + 5. Let j(r) = r**3 + r**2 - r - 1. Let t(g) = -6*j(g) - x(g). What is k*n(d) - t(d)?\nAnswer: -d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6*0.003\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -970, -822, -674, -526, -378?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/4)\/(120\/(-32)). Let s(r) = 20*r - 18. Let n be s(1). Factor 1\/5*b**3 + 4\/5*b**n + b + t.\nAnswer: (b + 1)**2*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188168 (base 9) in base 15?\nAnswer: -24c42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58\/7 - 50\/7*d**4 - 220\/7*d**3 + 2\/7*d**5 - 230\/7*d - 340\/7*d**2.\nAnswer: 2*(d - 29)*(d + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**3\/3 - k**2\/2 + 2*k - 1. Let y(h) = -5*h**2 + 39*h + 13 - 5 + 34*h - 77*h. Let u = 11 - 13. Determine u*y(i) + 9*d(i).\nAnswer: i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 + u**2 - u**2)*(-2*u**3 + 0*u**3 + 0*u**3) - 2*u**5 + u**5 + 3*u**5 + (u + 3*u - 5*u)*(-u**2 - 2*u**4 + u**2).\nAnswer: -8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 120*d + 256.\nAnswer: -4*(d - 2)*(d + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -37*c + 1287. Let s be q(35). Are -132 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459618 is divided by 1741?\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3627*f + f**2 - 1813*f - 1814*f + 2*f**2 + 10*f**2 + 2*f**2.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-4)\/30)\/((-7)\/105))\/49*7. Factor 8\/7 - u*q**3 + 12\/7*q**2 - 18\/7*q.\nAnswer: -2*(q - 4)*(q - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*p**2 + 0*p**2 + 2*p**2 + (p + 1 - 1)*(-5*p + 3*p + 0*p) + p**2 - 1 + 1.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*153\/72*14\/(-63)*-9.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/3041 + -18272\/39533. Which is the nearest to 0.2? (a) 0.3 (b) 1\/3 (c) 5\/3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:20 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 greater than 489\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-30 + 0 + (-120)\/(-10) + -20)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -851.6 + 619.6. Which is the third biggest value? (a) -3\/4 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 1.6 (c) 9 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 38 = j - 12, 13 = 2*j - 3*h. Suppose 2*u + 18 = -3*b - 23, -4*b - u = 43. Sort j, 2, b in increasing order.\nAnswer: b, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11017 and 296539.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 5:33 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + z**2 - z**4)*(-4 + 0 + 2)*(-5 + 1 + 3).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 24. Suppose 17 - 2 = z*f. Solve 13 = 2*v + f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 - 89. Suppose g*o - 2*o = 35. Let q = -9 - -13. Sort -1, q, o, -3 in decreasing order.\nAnswer: o, q, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -29*u**7\/7 - 18*u**3 + 23. Find the third derivative of p(r) wrt r.\nAnswer: -3480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9311, 9775, 10245, 10721, 11203?\nAnswer: 11691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjmxjmjmmxjmqmqxc. Give prob of picking 1 q and 1 j.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2. Let d(o) = -12*o**2 + 4*o. Give d(t) + 4*j(t).\nAnswer: -8*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s + 18. Let l(w) = 21*w - 38*w + 17*w + 5*w. Determine t(l(g)).\nAnswer: -10*g + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 2)*4 - 216\/60.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 5*y - 57 + 86, 5*p = -4*y + 40 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41 and -39.8.\nAnswer: 1631.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -14\/322489?\nAnswer: -14\/322489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.78 * -0.1.\nAnswer: -1.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:32 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 932 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quhu when four letters picked without replacement from nuquqshhuusssq.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 67 = 1. Let w = -59 + t. Suppose -5*g = j - 15, -5 = -4*g - j + w. Solve -17 = g*p - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1673 and 3107.\nAnswer: 21749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1332 and -137\/11874.\nAnswer: 2636028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, p: 1, m: 2}. Give prob of picking 3 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-2)\/6)\/(140560\/(-6999888)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**(-24))\/h))\/h**17)\/(h**(3\/8)*h\/(h\/(h**(-31)*h))) assuming h is positive.\nAnswer: h**(301\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-one quarters of a year?\nAnswer: 213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 595139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.148077 + -534824800.\nAnswer: -534824800.148077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -984.9121 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41737684927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 31*a**2 - 414024*a + 3309696.\nAnswer: (a - 624)*(a - 8)*(a + 663)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-99))\/(-12 + 18 - (-48)\/(-9))\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 10*x - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000043492 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 7*l - 74. Let x = l - 35. Solve -2*g + 6 = -2*s, 0 = -x*s + 4*g - 4 - 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 d when three letters picked without replacement from wwbwddbbbdwgdbddwww?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**3 + 4*w**2 + 4*w + 2. Let t be (-6)\/((-21)\/(-140)*-2). Suppose 3*c = 4*g - 3 - 15, 4*c = 4*g - t. What is b(c)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 76\/9 (c) -2.2 (d) 2 (e) -3 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/15107 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17456*n + 2493*n + 2590*n - 4753452 = -13472*n for n.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 41*q**3 + 6*q**2 - 23*q + 1. Let g(t) = 15*t**3 + t**2 - 7*t + 1. Let f(d) = -11*g(d) + 4*j(d). Determine f(12).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 7*s + 4. Suppose 14*d = 8*d - 24. Let u(n) = -n - 1. What is d*u(v) - b(v)?\nAnswer: -2*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 16, y: 2}. Give prob of picking 3 l.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 80, -174, -710, -1474, -2412, -3470, -4594?\n\"Answer: 9*d**3 - 195*d**2 + 268*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 303943884 divided by -41007?\nAnswer: -7412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 j, and 1 i when four letters picked without replacement from {u: 3, s: 1, d: 1, i: 1, j: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 79905400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78125 + 76149 = 104*j for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, 0.3, 3, 1526, -2 in increasing order.\nAnswer: -12, -2, 0.3, 3, 4, 1526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 278463?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y**5\/3 + 24972*y**4 + 209966*y**3 + 764972*y**2\/3 + 70000*y = 0. What is y?\nAnswer: -7, -1, -2\/5, 0, 7500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 554a29 - a?\nAnswer: 554a1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 - -2. Let s = 20 + -16. Let k = 0 + 0.4. Which is the nearest to n? (a) k (b) s (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 12:34 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 7:28 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283288, 283308, 283318, 283312, 283284?\nAnswer: 283228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-33)\/134) - (-12)\/66. Sort 6, 2\/15, p in decreasing order.\nAnswer: 6, 2\/15, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55\/12 - -21\/4. Find r, given that -i*r + 2\/9*r**2 + 4\/9 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/30509036 and -53\/2612075.\nAnswer: 762725900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1414 + 3237 + 3013*s + 3197*s - 654*s wrt s?\nAnswer: 5556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 659957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7002 + 7013. Let t(n) = 4*n - 52. Calculate t(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 290922606 and 754.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6 + 11*z**2 + 1 + 5. Let j(p) = -p**2. What is l(j(a))?\nAnswer: 11*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 34*w**2 - 26*w - 45. Let k(o) = 4*o**2 + 2. Let t(a) = h(a) + 6*k(a). Calculate t(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1485\/80*3252\/4065 - (-1 - 13\/(-5)).\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660 and 24255?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 396133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**0*d)\/d)**41\/((d**1\/d)\/(d\/(d**2*d)))*d*(d*d**(-2\/9))\/d*d*d**(-5)*d*d*(d\/(d*(d**(-5)*d)\/d))\/d**0 assuming d is positive.\nAnswer: d**(754\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/270)\/((-3)\/(-85)) and -7\/4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12663*f**3 + 0*f**2 + 0*f**2 - 10 + 12199*f**3.\nAnswer: 24862*f**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 699 (base 13) to base 12.\nAnswer: 7b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -5314?\nAnswer: -5321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -925713 or -32400002\/35?\nAnswer: -32400002\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383682 is divided by 529.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 107524741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-2)*(16\/26 - 27548\/38766).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3237, 3213, 3173, 3117?\nAnswer: 3045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -2*p - 175. What is the remainder when 96 is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25484 - -25498. Solve 3*d - 3*k + 15 = 0, -2*d - 11*k - 13 = -m*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/(-114) + 18124\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13688713 is divided by 622214?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67.94 - 77. What is q rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 119659*d**2 - 3576515815*d + 182713672275.\nAnswer: -(d - 51)*(d + 59855)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b - b - b + (b - 5*b + 2*b)*(-1 - 1 + 0) + 0 - 2*b + 0 - 12*b + 5 - 5 - 3*b + 6 - 6.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1270, -2, -1.\nAnswer: -1270, -13, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -29*x - 793. Give l(-10).\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 1, 5, -6559, 2 in increasing order.\nAnswer: -6559, -1\/8, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 4085175?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118762469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(14\/(-4))\/7. Does 20 divide (64\/(-24))\/(j\/48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49.145072*3.\nAnswer: 147.435216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + sqrt(539) + -2 + (sqrt(11) - (-2 + sqrt(539)) - sqrt(33)\/sqrt(3)*2))**2.\nAnswer: -81 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -679563 divided by -1?\nAnswer: 679563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 20*n + 516 + 1194 = 0. What is the least common multiple of n and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2\/(-26)*(-195)\/60).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2428521303?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 2*j**2 + 7*j**2)*(28 - 28 - 6*j**2).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*z = 4*w - 4085, -4*z = -5*w + 5083. Let g = w + -628. What are the prime factors of g?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -42 (b) -2\/9 (c) -0.3 (d) -2\/19 (e) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 3*h**2 + 14. Let g(w) = 4*w. What is g(s(y))?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 9:24 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5744454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*1\/(7\/(-7)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y = -m - 2717, 0 = 3*y + 9. Let x = -13776\/5 - m. Which is greater: x or -27?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.7 or -5.22112?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*-1)\/(3\/(-2)). Let a = 308 - 298. Let n be ((-12)\/4 - -7)*a\/(-5). Put n, -5, r in decreasing order.\nAnswer: r, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-40)*(-30)\/(-9). Suppose -3*a = -y*a + 1. Let o(m) = 4*m**3 + m**2 + 2*m + 1. What is o(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*y + 3, -25 = 3*j - 8*j. Solve -2*h = 5*m + y, -2*m + 6 = -5*h + 25 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62146 and 1723876?\nAnswer: 39649148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - -12. Let f = k + -18. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-36) - 40\/80)\/2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67222, -67228, -67236, -67246, -67258?\nAnswer: -67272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 111 - 5?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -143.8041 rounded to one dp?\nAnswer: -143.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109*x**2 - 44 + 7 + 43 to o*x**2 + r + f*x and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -11707*z**6\/6 - z**5\/5 + 13911*z**2\/2 - 11886. What is the second derivative of w(f) wrt f?\nAnswer: -234140*f**3 - 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 10\/(-4))\/(206973\/(-21228))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*c + 73*c + 25*c - 38 + 57*c wrt c.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(275) + -2*sqrt(275)) - (-1 + sqrt(20)\/sqrt(4) - (2*sqrt(10))\/sqrt(2))**2.\nAnswer: -6 - 11*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17923 + 22627. What is the greatest common divisor of b and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 0.4, 10.4, 4, 1 in increasing order.\nAnswer: 1\/8, 0.4, 1, 4, 10.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5058 or -5057?\nAnswer: -5057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -46268 divided by -66\nAnswer: 23134\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -25c629 (base 13) to base 15\nAnswer: -1306d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/408 and 17\/3?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*q = -18, 5*d + 3*q = 3 + 21. Let g(a) = -a**2 + 9*a - 7. List the prime factors of g(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14858?\nAnswer: 2, 17, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c - 1. Calculate z(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2. Let x be s(2). Suppose -x*v = -3 - 1. Let d = -125\/183 + 1\/61. Is d bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1668157 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2. Let z(r) = r**3 + 4*r**2 - 6*r + 7. Let p be z(-5). Suppose p*t = 10*t. Let b(d) = t*d - d - d. Give b(l(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 53976161*f - 53976161*f.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 7. Let h(w) = w**2 + 26*w + 6. What is the remainder when h(-26) is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4750 = -5*s, -s - 3*o + 388 = -576. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 110 - 30 = 0. Suppose b*w + 176 = -224. Is -18 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*r - 123 = 246 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4480)\/(-56))\/(-1200)*24\/(-4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 110?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*m - 18 = 0, 40*z - 75*z - 9*m + 23 = -31*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -382 (c) -17 (d) 1988\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -105817, -106242, -106667, -107092?\n\"Answer: -425*h - 105392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 471.2066ns?\nAnswer: 0.0000004712066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from bbbbfbbbbfbfffff.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 31*z**4\/12 - 14*z**3\/3 + 11*z. Find the second derivative of d(g) wrt g.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 26 = 5*j, -3*j = m - 0*j + 10. Suppose -v = 10 - 41. Suppose m*y = -3*p - 0 - 1, 5*y + v = 2*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4\/3 + 17168*z**3\/3 + 17703928*z**2\/3 - 513134352*z + 10720227852.\nAnswer: 4*(z - 41)**2*(z + 2187)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*q + 23*q - 5*q)*(q**2 - 4*q**2 + q**2)*(-7 + 0 + 15 + 1 + 3 - 3 + (-1 - 1 + 3)*(-2 + 1 - 1) - 1 + 2 + 1 + 1 + 3 - 3).\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 + 70*l**2 - 63*l - 4. Calculate the remainder when 663 is divided by i(34).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/21)\/(d*d*(d*d\/d**19)\/d)*(d\/(d*d**17\/d))\/(d*d*d*(d*d\/d**(5\/6))\/d) assuming d is positive.\nAnswer: d**(-45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 256\/48)*(-1 + 57\/(-6)). Solve -b - 4*i = 3*b + 8, -b + 5*i - f = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Let x(z) = z**2 - 3*z - 4. Let i(p) = -6*w(p) - x(p). Let b(m) be the first derivative of i(m). Let d be b(6). Let c(u) = 4*u - 3. Give c(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.4, 1, -0.1, 288?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156003373 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-17)*(-21)\/12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61 and 17141?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2970\/1089)\/(3\/(-11))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1516*m + 92766. Calculate h(-61).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1. Let b(c) be the second derivative of c**4\/12 - c**3\/6 - 29*c**2 + c + 24. Let k(y) = -b(y) - 2*r(y). What is the derivative of k(i) wrt i?\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - g**2 - g - 1. Let z(v) = -134*v**3 + 2*v**2 + 5*v + 3. Let a(b) = -3*p(b) - z(b). Let r be (19 + -17)\/(2 + 0). List the prime factors of a(r).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/6)\/((-33)\/(-176)*8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*r + 8*r + 16*r + 3 - 47*r wrt r?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5572106599904 take away -0.26?\nAnswer: -5572106599903.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11440755 is divided by 3813163?\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, t: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8*n**3 + 79*n**2 - 199*n + 128. Let z(a) = 4*a**3 - 40*a**2 + 100*a - 64. Let b(g) = 4*s(g) + 7*z(g). Factor b(l).\nAnswer: -4*(l - 4)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122747.\nAnswer: 131, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1379, 1133, 739, 197, -493?\nAnswer: -1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 b when three letters picked without replacement from bzbzbsbzujbu.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 2*t**2 - 5*t**2)*(-t - 2*t + t) - 7 + 7 - 73*t**3.\nAnswer: -67*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*n - 40 = -46*n. What is the greatest common divisor of n and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/6)\/((-6)\/(-1008)). Suppose h = -6*h - g. Let y = h + 119. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 351337777 to the nearest integer?\nAnswer: 18744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-240)\/(-12)*2\/(-18) - -4. Put -4, -1, t in decreasing order.\nAnswer: t, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 - 4*w - 1439 + 1439 as j*w**2 + c + t*w and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - p**3 - 4*p - 14 - 9 - 9 + 6 + 3*p**2 to the form w*p + a*p**3 + f + c*p**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from xjjxxjjjjjjjjjj.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 17 = 4*v, 0 = -4*s + 2*s - 3*v + 14. Solve -2*k = -3*k - s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 227\/5. Sort -1\/2, y, -11\/2 in decreasing order.\nAnswer: y, -1\/2, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3 - 11. Let m(n) = -n**3 - 13*n**2 + 15*n + 13. Let v be m(s). Let a be ((5\/3)\/v)\/((-6)\/756). Calculate the highest common divisor of a and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and -1.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 - 6*r**2 + 4*r - 4. Let f be k(-5). Let s = f + 7. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61878*h**2 + 172*h - 37 wrt h.\nAnswer: 123756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) - -3*sqrt(324) - sqrt(48)\/(sqrt(48)\/sqrt(4)))\/(((-1*sqrt(28))\/sqrt(2))\/(2*sqrt(7)*2)).\nAnswer: -140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 2445414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -256*c**2 - 81568*c - 6497401 = 0. Calculate c.\nAnswer: -2549\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16007052*l**3 - 73*l + 204 wrt l.\nAnswer: -96042312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12800 is divided by 2008.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(192) + 5 - sqrt(192)) + 0)**2.\nAnswer: 80*sqrt(3) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3638.985nm?\nAnswer: 3.638985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-8\/3)*j)\/j)**(1\/15)\/(j**(-27)\/j*j*j*j\/j**(1\/26)) assuming j is positive.\nAnswer: j**(29087\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61244*n**2 + n**3 + 30623*n**2 + 30621*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46513 + 46512.1. What is the second smallest value in i, 10, -3, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 46. Let m = w - 10. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 38 (b) -3\/8 (c) 1\/92 (d) 2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 64 = -y + 5*y, 5*y = -2*s + 38. Let d = -3 + -5. Let m(w) = -w**2 - 8*w + 9. Calculate the remainder when s is divided by m(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 85 - (6\/(-3))\/(-2). Suppose -5*g - m + j = 0, 5*g = -0*m + 2*m + 72. Let b = g + 32. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-11\/5)*m\/(m\/m**(-7))*m**(2\/27)\/(m\/((m*m**(-1\/11)\/m)\/m*m*m)))**(-26) assuming m is positive.\nAnswer: m**(355862\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/5 + 104*g\/5 - 84.\nAnswer: -4*(g - 21)*(g - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*2\/(-4)*(41 + 13). Let k be 17\/36 - (282\/o - 5). What is the second biggest value in -4, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 0 - ((-40)\/(-35) - (-4)\/28). What is the closest to l in -0.5, 0.2, -0.1, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 4:22 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*y + 17 + 5 = 0, -4*y = 4*i - 24. Let n(c) = -c**2 - c + 1. Let x(o) = 4*o - 1. Give i*x(f) + 2*n(f).\nAnswer: -2*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*b - 7440 = 0, 4*b + 7458 = 5*g - 0*b. Calculate the smallest common multiple of 3874 and g.\nAnswer: 19370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 1:31 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -436 + 444. Suppose -5*f + o = -3*f, f + 876 = w. What are the prime factors of w?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 11*r - 16. Let c be d(-7). Suppose c*w - 13*w + 56 = 0. Suppose -w*s - 63 = -16*s. Solve h = -t - s, h + 3 = 3*t - 4*h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90475 or 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/35 or -1412?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**3 - 28182120*k**2 - 145142096 wrt k?\nAnswer: 3*k**2 - 56364240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 86*m - 2939. What is n(35)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2825?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -671 - -693. Suppose 18*j + x*j - 120 = 0. Put -3, j, -14 in descending order.\nAnswer: j, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-27)\/(y\/y**(4\/9)) assuming y is positive.\nAnswer: y**(-248\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 + -8805?\nAnswer: -8805.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -7\/3 (c) -5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1542250.\nAnswer: 2, 5, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 116967 = -4*u, -5*b + 4*b = -5*u - 38989. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 34 (b) -2\/5 (c) 3 (d) 1\/7 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -12*d**3 + 8*d**2 - 6*d - 13. Calculate t(3).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-7 - (2 + 5 + -12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 0 + l**2 + 3*l + 2 + 4*l. Let a be q(-7). Suppose a = 2*x, 0 = -9*d + 4*d - 5*x + 220. What is the remainder when d is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1843.\nAnswer: 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 14) to base 12.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4114 - 12*s**2 - 4620 + 8714.\nAnswer: -12*s**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2. Let t = -81 - -85. Let o(i) = -t*i - 5*i - 3*i**2 + 5*i**2 + 0*i**2. Determine y(o(u)).\nAnswer: 8*u**4 - 72*u**3 + 162*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3254 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(7) - sqrt(7)) + -1 + 2)**2.\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1122 is divided by 543?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b + 6. Let l(a) = -8*a - 8. Calculate 4*f(h) + 3*l(h).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/12 and 71\/256.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b**3 + 4*b**2 - 2*b. Let v(a) = -a**3 - a**2. Let n = 11 - 7. Let u(o) = n*v(o) + t(o). Find the second derivative of u(s) wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45573529?\nAnswer: 29, 37, 42473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (714\/(-4165))\/(((-3)\/7)\/1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 46*c + 47. Let h be l(47). Solve h = 3*m - m - 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + 40. Suppose -j + 40 = a, 20 + s = 2*j + 3*a. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19393\/1713 + 7\/571. Let j(c) be the first derivative of -o*c**3 + 0*c**2 - 15\/2*c**4 + 0*c + 19. Find the third derivative of j(q) wrt q.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 7*g - 5140 = 9*g, 4*u - g = 6860. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.83393 times 3?\nAnswer: 47.50179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzz when three letters picked without replacement from fzrzzzzrrrzroz?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -0.4, -0.302, 2, -12, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*m + 5*m**3 - 3*m - 3*m**3 + (-5*m**2 + 3*m**2 + 3*m**2)*(-m + 0*m + 2*m).\nAnswer: 3*m**3 - 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(2\/((2 + -3)*-1)). Suppose 3*w + t - 13 = q, 10 = 5*w + 3*t - 13. Factor -4\/5*v + 2\/5*v**w - 2\/5*v**2 + 4\/5*v**3 + 0.\nAnswer: 2*v*(v - 1)*(v + 1)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from yppyaakpyayyp?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470338 is divided by 74.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3753 - 86295\/23. Let x = t + 501\/115. What is the common denominator of 49\/2 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + (sqrt(304) - (0 + (1 + sqrt(304) - sqrt(304)) + sqrt(304))))*4 + -5)**2.\nAnswer: -288*sqrt(19) + 4945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**2 + 1609 + 8364 - 9973.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (-2 + 10 + 7 + -16) - -6\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/((-72)\/(-15)) - 2\/4. Solve -l = -3*t - 4*l, -n*t - 5*l = 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 - 2*z**3 + 0*z**3)*(-3*z + 2*z - z) - 31*z**4 + 26*z**4 + 25*z**4.\nAnswer: 24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**3 + 2*g**2 + 8. Let a(i) = -6*i**3 + 3*i**2 + i + 10. Calculate 2*a(z) - 3*s(z).\nAnswer: 9*z**3 + 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924977 + 921509 = -68*l for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12036422 and 15613?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126069045 a multiple of 6408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 7084805 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -114*t**3 - 5*t**2 - 6*t. Let u(h) = -23*h**3 - h**2 - h. Let i(j) = 2*p(j) - 11*u(j). Let y(r) = -r + 1. Let a be y(0). Is i(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5921791531.\nAnswer: 23, 4019, 64063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/45 + -8\/45. What is the nearest to v in -1, -5, -22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137683636.\nAnswer: 2, 829, 41521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 402\/(3*-1). Suppose 0 = 4*a + 27 + l. Let k = -27 - a. Solve 4*z + k = -7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -293*y**6\/60 - y**5\/30 + 29*y**4\/6 + 341*y**2. What is the third derivative of h(w) wrt w?\nAnswer: -3516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 10 - 11 - m)*(5*m**4 - 3*m**4 - 8*m**4).\nAnswer: 6*m**5 - 84*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exraa. Give prob of sequence xra.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 43. Let n = 0.6 + -0.9. Let i = 0 + n. Do i and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/4)\/(15\/1))\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 540082*y**6 + 118728*y**2 wrt y?\nAnswer: 64809840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + 15. Let n = g - 41.84. Let d = 0.16 - n. Do 16 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 + 1 - 4) + -52 + 104.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (-11)\/2 - (-93)\/(-6). Let s(g) = -g - 21. Let n be s(r). Let w(a) = a**3 + 9*a**2 - 20*a - 14. What are the prime factors of w(n)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -75 (b) -2 (c) -2\/33 (d) 0.4 (e) -2\/3 (f) 0.058\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 64*w**2.\nAnswer: -2*w**2*(w - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3392)\/(-2968))\/((864\/784)\/(3\/14)). Find a, given that 8\/9*a**2 + 8 + 82\/9*a - g*a**3 = 0.\nAnswer: -4, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(242) + 0 + 4 + 1)**2 + (2*sqrt(242)*-1 + sqrt(242) + 1 + -2*sqrt(242))**2*-6.\nAnswer: -12802 + 506*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, 0.009, -0.4, -11, -0.09, 3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 415 = -6*t. What are the prime factors of t?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -8. What is the greatest common divisor of p and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-8)\/(y**(-4\/9)*y))\/(y**(2\/11)\/y*y\/y**(-7)))**1 assuming y is positive.\nAnswer: y**(-1558\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 - 23*f**3 - 4 + 4.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (38\/18)\/((-162)\/1215) and 83\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(24)\/(sqrt(300)*1 + sqrt(300))*-3*3.\nAnswer: -9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (0 - -14) + -8 + -1 + -2\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/8 - (-14)\/84. Is -9.7 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 560 = k. What is the highest common factor of 70 and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(13 + 6 + 2)*(-7 + 269*v + 262*v - 530*v + 2*v**2)*(3 - v - 3).\nAnswer: 42*v**3 + 21*v**2 - 147*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/7, -1057, 1\/37?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**5\/20 + 9*w**3\/2 - 134*w**2. Factor v(h).\nAnswer: -3*(h - 3)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -880 by 40.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 983.01 take away 29.45?\nAnswer: 953.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 - 103 = 7*h. What is the remainder when 49 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -5 + (0 - 0) - (-25 + 26)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -158 - -1 - (7259 + -7343)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 30. Calculate s(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/sqrt(4)*6)\/sqrt(10) + 5 + sqrt(605) + sqrt(605) + 1.\nAnswer: 6 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 130.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 717 + -456. Suppose 0 = -5*u + l + 64. List the prime factors of u.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 45 - 15. Suppose 3*f + r = 0, 75 = 3*p + 5*f - 103. Let o = p - -17. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6674 - 6671. Solve -4*g + 4*y = 4, 4*y = 5*g + 9 - o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 12*b**2 + 4. Let p be t(12). Factor -3*w**p + 4*w**2 - w + 7*w**4 - 7*w**3 + w**3 - w**5.\nAnswer: -w*(w - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222750727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h**2 - 231*h + 16 - 29 + 12 + 264*h**2 + 7 = 0. What is h?\nAnswer: 2\/75, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 21 - 0) + 2. Let o be g*1 - (-6)\/3. Let h = o + 33. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 36818*a + 4013124. Calculate b(-109).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3815805.\nAnswer: 3, 5, 7, 36341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 543 and 5034.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000111130725 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54271901.\nAnswer: 54271901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -10*v. Solve -u = -v*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 28.45.\nAnswer: 28.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**2\/2 + 55. Let m(f) = 18*f**2 - 5*f. Let d(l) = -225*l**2 + 63*l. Let w(j) = 5*d(j) + 63*m(j). Calculate u(w(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/8 - (-5)\/20. Let d = 106.2 + -109.2. What is the third smallest value in 0.3, -6, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-11)\/(-2))\/(3\/(-6)). Let q = 15 + d. Calculate the common denominator of (q\/144)\/((-1)\/(-226)) and 33\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*t**2 - 30*t**2 + 66*t**2 - 8*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = f - 5*u, 12*f + 5*u = 7*f + 60. Suppose m = 3*z - 3 - 2, 5*m = z - 25. Suppose s + s + f = z. Let q(d) = d**3 + 6*d**2 + 3*d + 9. Calculate q(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**4\/4 + 8*w**3\/3 - 5*w**2 + 1. Calculate the remainder when 26 is divided by f(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -770107*r**2 - 3306909*r + 1?\nAnswer: -1540214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - 6*s**2 - 9*s**2 + (-3*s - s + 2*s)*(3*s - 3*s + 3*s).\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.08, 128, -0.01, 1149?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 7 - 1. Let s(h) be the third derivative of -1\/6*h**3 + 1\/4*h**4 + 0 + 7*h**2 + 0*h - 1\/12*h**5 - 1\/120*h**6. Determine s(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*g**5\/9 - 148*g**4\/9 - 20*g**3 + 100*g**2\/9 + 208*g\/9 + 16\/3 = 0. Calculate g.\nAnswer: -3, -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 72 (c) -12 (d) -0.007 (e) -0.2 (f) -2 (g) -7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.72329 + -70.08239. Let t = 69.4 + j. Let y = t - 0.0946. What is y rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36 - -2688146?\nAnswer: 2688182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1183, 1186, 1189?\nAnswer: 1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -174 and 4.31883.\nAnswer: -751.47642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-528)\/40*(-4)\/(16\/20). Let v = -934 + 1003. Is h equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c + 72 - 2*c**3 - 125 + 50.\nAnswer: -2*c**3 + 15*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -13?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - (1 + -13 - (-220 + 220))) + -16 + 3?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 2*g. Suppose -3*i + 4*q + 8 = 0, 2*q = -5*i - g*q - 10. Suppose 5*k - 6*k + 58 = i. Calculate the remainder when k is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 1. Suppose -2*l + p - 6 = -5, 31 = 3*l + 5*p. Let g be -1 - -1 - -2*5. Suppose -g = -5*c + 3*t, -l*c + 2*t - 5 = -t. Give h(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.214154098 rounded to 4 dps?\nAnswer: -8.2142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8541704 to 3 dps.\nAnswer: 0.854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -187, -288, -389, -490, -591?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3006*w - 3055*w - 686 = 0 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 118, 236, 354, 472, 590?\n\"Answer: 118*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -8*c - 83. Let v(a) = 19*a + 163. Let g(u) = 7*l(u) + 3*v(u). Let s(q) = -2*q. Calculate s(g(i)).\nAnswer: -2*i + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 42. Let x(n) = -n**3 + 13*n**2 - 12*n - 5. Let y be x(p). What is the least common multiple of y\/(4 - (-18)\/(-4)) and 13?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - 38*p + 37. Give m(-19).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*l, -2*l - 13 = 2*d + 3. Let o = -10 - d. Suppose -x + o = 1. Calculate the smallest common multiple of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, y: 13}. Give prob of picking 4 t.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 338.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -65*46\/((-5520)\/(-12))*-2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -126*k + 3*k + 58*k + 1495 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -10 + 4. Suppose 0 = 3*x - 0*x - 126. Calculate the highest common divisor of x and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 464, -5, 1.6, 17\/5, 3 in descending order.\nAnswer: 464, 17\/5, 3, 1.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7385 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*h = 0, 23*h - 27*h = g. Suppose -131*s + 133*s - 60 = g. Calculate the remainder when s is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-14) - ((-6)\/(-14) + (-48)\/84).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(3) - (0 + sqrt(3) - sqrt(3))) + -1 + sqrt(15)\/((-2*sqrt(20) - sqrt(5)) + sqrt(5)))**2.\nAnswer: 27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14895989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 443*o**2 - 4*o. Let p(d) = 49*d + 1. What is p(l(m))?\nAnswer: 21707*m**2 - 196*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**4*k + 8848*i**2*k**3 - 19962*i*k**3 + i*k wrt i?\nAnswer: -24*i**2*k + 17696*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 476 (b) 0 (c) -506 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*l + 22, -3*f - f - 40 = -2*l. What is the least common multiple of 12 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*g - 55*g = -18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -501 (c) 27 (d) -1.085\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 7*j - 88 = 0. Suppose 5*p - 46 = -3*f, f - 4*p - j = -7*p. Suppose -f*q = 3*i - 5*q - 221, 3*q + 323 = 4*i. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -1.3. Let p be 50\/(-14) + 0 + 2. Let s = 19\/21 + p. Which is the nearest to s? (a) 3\/8 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11819836 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**5 + 4*f**5 - 2*f**5 + (0*f + 4*f + 4*f)*(-131*f**4 - 52*f**4 - 28*f**4).\nAnswer: -1689*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -750577\/30 - -25024. Suppose 2*k = -4*d - 366, -5*d - 735 = 4*k - 0*k. Let u = -2774\/15 - k. What is the common denominator of t and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1547431, 1547413, 1547377, 1547317, 1547227?\nAnswer: 1547101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/9 <= 180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + q = -19 - 10, -3*q = -o + 27. What is the common denominator of 264\/o - (0 + -1) and 1 + 0 + 29\/(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23.41 + 0.03787169\nAnswer: 23.44787169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 920.31 - -130.489454?\nAnswer: 1050.799454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62589*o - 739824382*o**2 + 62589*o + 739824365*o**2.\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*w = -0*x - 51020, 3*w - 6 = 0. Let s = x + -561211\/22. Find the common denominator of 7\/21 - 645\/(-198) and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 24 = -2*o - 0*o, 0 = -s + 5*o - 5. Let m = -12 + 13. Let q be m + 4*-1 - -8. Solve -q*v + a = 3*a + 5, 0 = -2*a + s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -9. Suppose n*g = -2*p + 133, 135 = 2*p + g + 2*g. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1130*b + 20432 - 6872 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111 - 23*t - 2*t - 7*t - 75 wrt t.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 9*s + 1. Put 2, -7, -2, s in descending order.\nAnswer: 2, s, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**3\/5 + 4066668*k**2\/5 + 77267073*k\/5 - 16266748 = 0?\nAnswer: -20, 1, 4066687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swosnqw. What is prob of picking 1 o and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2816) + sqrt(2816) + 4*sqrt(2816) + sqrt(2816) - sqrt(2816))*2 - sqrt(2816))\/(-4*(sqrt(64)*-4 + sqrt(64))).\nAnswer: 11*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5662 - -7337. Calculate the greatest common factor of 469 and o.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/20 - (19865\/(-25) + 2).\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) - ((-43260)\/80)\/(-21). Let f(l) = 6*l + 161. Determine f(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*z - 19, 10 = 5*z + 25. Sort 5, 2, f, -3 in decreasing order.\nAnswer: 5, f, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 31*z**2 - 662*z - 20160. Give g(-32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13719, 13705, 13659, 13581, 13471, 13329, 13155?\nAnswer: 12949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 65\/(-1820)*8\/(-1). What is the nearest to 1 in -2\/7, -137, g, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 180 = 2*z, -d + 16 = z - 77. Suppose c = 0, 3*c - z = -3*s + 2*c. What is the greatest common factor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 0*t + 2*t**3 - 2*t + t**3 + 0*t**3.\nAnswer: 7*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q - 16. Let u be (-20)\/70 + 228\/14. Let k = q + u. Do k and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2081.3 + -2081.3000055912. What is a rounded to 7 decimal places?\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11157?\nAnswer: 3, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 0.3, -1, -296 in descending order.\nAnswer: 0.3, 2\/17, -1, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101 + 123. Suppose 2*r = 4*u - c, -r - 5 = -5*u - 6*r. Solve u*a + a = 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3013673247?\nAnswer: 3, 13, 157, 359, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, s: 3, d: 2, f: 6, p: 1}. What is prob of picking 1 f, 1 i, 1 s, and 1 d?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 14985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 = 4*v, -2*b + 3*b - 2 = v. Suppose r = -b*r - 9, 2*d + 3*r + 9 = 0. Solve d = 3*m - 12, 0*m = -w - 4*m + 17 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, d: 3, y: 1, w: 1, r: 4, q: 1}. What is prob of picking 2 r?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (2 - 3)) + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20355 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 28. Is ((-420)\/(-75))\/((-2)\/j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(864) - ((sqrt(864) - sqrt(864)*1) + sqrt(864))))\/(sqrt(1728) + 6*sqrt(1728)*-2))**2*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534523 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**5 - 40*l**4 - 36*l**3 + 208*l**2 - 128*l = 0. Calculate l.\nAnswer: -8, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*j + 83*j = -264. Solve -16*r = -j*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 651308 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q**3 + 2*q**3 - 6*q**3.\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4793468 divided by -43\nAnswer: 111476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s**2 + 1058*s\/5 + 978\/5 = 0 for s.\nAnswer: -489\/40, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216518, -433043, -649562, -866075, -1082582, -1299083?\nAnswer: -1515578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 x when three letters picked without replacement from jkxkkxk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 840*c. Let n(g) be the second derivative of g**4\/12 - 456*g. Calculate n(y(q)).\nAnswer: 705600*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -27. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 - 11 - (19 - 95 - -1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.02, -15, 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + j**2 + j - 1. Let u be k(3). Let h be (u\/(-40))\/(4\/30). Solve t - 1 = h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.9 - 34.9. Which is the closest to 0.2? (a) 5 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 125 = 50. Let m = 324 + -224. What is the common denominator of ((-232)\/m)\/((-2)\/10) and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -653548 or -0.2?\nAnswer: -653548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v. Let n = -7 - -17. Let h(o) = -o - 9 - n*o + 9. What is i(h(k))?\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387158 is divided by 377.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 273 = 27. Calculate the greatest common divisor of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1659 and -17\/11613.\nAnswer: 11613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7065.514 micrometers in meters?\nAnswer: 0.007065514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112642100*c**2 - 147121117*c wrt c?\nAnswer: 225284200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*r + 2*r - 2*r to d + u*r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -14 + -10 + 20?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3. Suppose k = -2*b + 19. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 202*u - 196*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a century in months?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 p when three letters picked without replacement from {p: 4, t: 1, m: 2, e: 1, l: 10}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 7*v + 6 = -0*v, 0 = -7*w + 4*v + v - 69 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2\/11, -1\/2, 0.28, 0.6 in descending order.\nAnswer: 6, 0.6, 0.28, -2\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*z = 19, 4*z + 2 = w + 3. Suppose 5*p + 33 = -2*g, -p - 3*p = -w*g - 38. Let r be (-118990)\/35 - (-4)\/g. What is r rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 2*s - 2. Let m(q) = -3*q - 8. Let x(v) = -4*v - 9. Let g(l) = -3*m(l) + 2*x(l). Let a be g(-4). What is f(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/1 + (-1 - -34). Let v = p + -36. Suppose -r + 4*g = -0*r - 4, g - 4 = v. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5973976.35 to the nearest 100000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -203, -199, -67, 235, 749, 1517?\nAnswer: 2581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**3\/6 + 4*u**2 + 13*u. Give c(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 31*(5\/1)\/5. Suppose 6 = -3*w - 5*q, -2*w - q = -6*w - x. Is (8 - w)*(-36)\/(-10) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9*t - 5. Suppose -3*j + 33 = 3*w, 0*w = -4*j + w + 24. Let n(z) = 13*z + 7. Let d(x) = j*v(x) + 5*n(x). Let o(y) = -11*y. What is d(o(f))?\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*(-8 + -35*(-15)\/60).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -978?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3331.\nAnswer: 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 2 = 5*j. Let b(n) = 1 - j + n + 2. Suppose -o = -3*o - 6. Calculate b(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29.8 + -27. Let o = x - 2.6. Let w = 3 + -6. What is the smallest value in w, 3\/7, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79.9 - 80.9. What is the biggest value in j, 27, 0.4?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, m: 1, a: 1, q: 2, d: 5, k: 2}. What is prob of sequence adh?\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50 or -49?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-56) - (-74)\/(-14). Put 2, 10, t in descending order.\nAnswer: 10, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 w, and 1 z when four letters picked without replacement from {w: 3, j: 1, z: 4, u: 2, o: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 9:03 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + x**2 - x**2)*(6 - 4 + 1 - 9*x).\nAnswer: 27*x**4 - 9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.17 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyetezeazeeyeta. What is prob of picking 1 e, 1 t, and 1 a?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 3:30 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8*((-3)\/2 + 2). Suppose 6 = -5*j - x*i, -3*j + 4*i + 2 = 12. What are the prime factors of 20 - (1 + j)*1?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.2, 4, -1, 6, -57?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -4, 1\/5, -0.0809, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1488044*c**3 + 5573983*c.\nAnswer: -8928264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65113619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - 34 - ((-4 - -4) + -18 + 10 + -39).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 5, -1\/3, 0.1, -0.202, -0.2, 0?\nAnswer: -0.202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 3:12 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/512 and -13\/1920.\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 46, 37, 8, -41, -110, -199?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 4*a - 36. Let b(j) = -3*j + 72. Let l(d) = -b(d) + 18*m(d). Let r(q) = q**2 - 68. Determine l(r(u)).\nAnswer: 3*u**2 - 204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2\/5 - 390*u - 63375 = 0. What is u?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -0.448, -33, -4 in increasing order.\nAnswer: -33, -4, -0.448, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25764 - 12455. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1173500275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/21*1)\/((-39)\/(-26)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 9*a**2 - 23. Calculate the remainder when o(-10) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218 = -4*b + 7*w, -3604*b + 3*w = -3599*b + 100 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 56?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7092?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 6. Suppose 69*u - 293*u = -896. Solve 10*q + u = k*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4283144040?\nAnswer: 2, 3, 5, 7, 5098981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 588, 829, 1082, 1353, 1648, 1973, 2334?\n\"Answer: t**3 + 234*t + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 108*((-42)\/18)\/(-7). Suppose x - 182 = -2*y. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*6*(-10)\/(1320\/11)*-12?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9715318, 9715310, 9715304, 9715300, 9715298?\n\"Answer: o**2 - 11*o + 9715328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420246\/(-14985) + (-4)\/(-90).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 141101*g**2*o + 40033296*g**2 + 499*o + 1 wrt o?\nAnswer: 141101*g**2 + 499","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuhu when four letters picked without replacement from {u: 3, h: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8.655983 days?\nAnswer: 747876931.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**4 - 4*x**4 - x**4)*(2*x - 4*x + 0*x) + (0 + 0 + 2*x)*(19*x**4 + 4*x - 4*x)*(2 + 2 - 5).\nAnswer: -36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(88))\/sqrt(4))\/(-2*sqrt(8)) + -5.\nAnswer: -5 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (26\/8)\/((-2)\/(-16)) + 0. Suppose -18*z - s = -62. Solve -3*q - 2*x = 15, -3*q = z*q - 5*x + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -10. Suppose 47 = o + w*o - 2*k, -56 = -4*o + k. Solve -5*n = -3 + o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 11*l = 3*l + 360 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 + -110. Suppose c - 6*c = k*t - 2071, 0 = -4*c - 5*t + 1662. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42636, 42667, 42718, 42789?\nAnswer: 42880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 13616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26299.7 micrometers in centimeters?\nAnswer: 2.62997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 6488529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 - 3*p**4 + 5*p**4)*(-3 + 1 + 1) + (2 - 2 + 2*p)*(-4*p**2 + 4*p**2 - 3*p**3).\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13083588 divided by -6541794.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*q**2 - 33645*q + 78456.\nAnswer: 3*(q - 3736)*(3*q - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1471545 - 0.147. Round m to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51541999.\nAnswer: 37, 1393027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8401*t**2 + 2 + 1 - 2*t + 0*t. Let q(a) = a**2 + 20*a - 20. Let v be q(-21). Let n be o(v). What is n rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54457759428 - -1182.\nAnswer: -54457758246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 122*i**3*v**2 - 86*i*v**3 + 18*v**3 - 17*v**2 - 14*v wrt i.\nAnswer: 366*i**2*v**2 - 86*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209604 is divided by 510?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-22 - -12 - -12) - (49 - -6).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 214, 313, 464, 667, 922?\n\"Answer: 26*i**2 + 21*i + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 11*l**2 - 3*l**2)*(-l + 0*l + 2*l)*(-5*l + 3*l + 3*l).\nAnswer: -10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -235*y + 145130 + 246380. Calculate the greatest common factor of 70 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 10:11 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 2:39 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -29. Let f = h - 24.72. Let o = -0.72 - f. Which is the third smallest value? (a) o (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 41 = 197. What is the remainder when a is divided by 2\/13 + 256\/26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1989044?\nAnswer: 2, 497261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 11:15 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.7 and 30933.\nAnswer: 30938.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 287077343*r**3 - 320858*r + 432 wrt r.\nAnswer: 1722464058*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2655)\/708*(-96)\/(-20).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llpplslsllpl. Give prob of picking 1 s and 1 l.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 5*a**2 - 7*a + 24. Let i be s(-7). Let g(m) = 34*m - 637. Let d be g(19). Calculate the highest common divisor of d and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 16*t + 2 = 0. Let b be 0 - (-2 + (-9)\/(-6)). Suppose 4*m - 2 - 5\/2*m**t + b*m**3 = 0. Calculate m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - 4*y**2 + 5*y**2)*((4 + 6 - 2)*(4*y - y - 2*y) + y + 0*y - 3*y + 0*y - y + 5*y).\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/14? (a) 4 (b) 0.3 (c) -1546615 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-1) + (17 - 19). Let h be ((-15)\/x + 2)\/((-12)\/(-24)). Is h at least as big as 5\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/(70\/(-8)))\/(1\/(-5)). Let l = 17\/4 + f. Let a = -4.4 - -0.4. What is the closest to 0 in 4\/5, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, b: 1, h: 3, v: 1, n: 6}. Give prob of sequence vh.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 79638.67 millimeters?\nAnswer: 79.63867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 163224000 to the nearest one million.\nAnswer: 163000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d + 108 = 4*f, -d = 2*f - 42. Let n be f\/1 - (0 - 2). Calculate the greatest common divisor of 10 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*v + 215*v - 152*v = 1036 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p + p + 4 + 8*p**2 - 1. Let c be s(-3). Suppose 0 = 4*u + 20, 0*x + c = 3*x + 3*u. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69219 = 117*i + 65592 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*w - 2764 = 0, -2*r - 4*w + 1385 = -5*w. Let x = -482 + r. What are the prime factors of x?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2. Let x = -2485 - -12423\/5. Let s = 1 + -3. What is the closest to x in -5, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-435)\/1015)\/((-2)\/((-14)\/(-1))). Let u = 91 + -96. What is the closest to j in 2, u, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -4*i + 8. Suppose -6*w = -0*w - i. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/16 - (-6)\/(-4) - -38. Let c = -35 + t. Solve 4*a + d = -18, -3*a - c*a = 4*d + 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 4:15 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22619629?\nAnswer: 22619629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 n, and 1 t when three letters picked without replacement from {c: 9, a: 2, k: 3, y: 2, n: 1, t: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o. Let s be ((-22)\/(-5))\/((-3)\/(-15)). Let j(b) = 2. Let a(v) = -2*v - 7*v + 22 + 8*v. Let l(y) = s*j(y) - 2*a(y). Determine l(k(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1092885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3\/11 - 155018*y**2\/11 + 3003900048*y\/11 - 3003745032\/11 = 0.\nAnswer: 1, 38754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -968 (b) -0.093 (c) 11.71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - 1200?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 345098 and 6.\nAnswer: 1035294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 300021747271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -k + 623, 3*k + 41 + 415 = -3*x. Let w = 160 + x. Let t(j) = -j**2 - 6*j - 2. Let m be t(-5). Put m, 0.5, w in ascending order.\nAnswer: 0.5, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.032 + -0.732. Let b = -2.58 - -3.2804. Let f = h + b. Round f to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7)\/(((-1)\/(-8))\/(((-762)\/24)\/127)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34824 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/5 (b) -6\/7 (c) -4 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8441 - -8440.7. Which is the fourth biggest value? (a) 0.3 (b) 17\/2 (c) -1 (d) t (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 193440 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)*-3 + -4 + sqrt(242) + -1 + sqrt(242) + 2)*4)**2.\nAnswer: 1056*sqrt(2) + 4016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 12*p + 13. Let s be i(13). Suppose -2*w + 3*c = 2*c + 6, 4*w - 4*c + 4 = s. Put -2, 0.4, 3\/4, w in decreasing order.\nAnswer: 3\/4, 0.4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 426 by 142.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/57155465 and -39\/8.\nAnswer: 457243720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + 2*s**2 - 7*s**2 + (-15*s - 6*s - 4*s)*(-s + 0*s - 3*s).\nAnswer: 97*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491740671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 25, 2*l = 3*o + 3 - 47. Calculate the remainder when 51 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Suppose -3*x - x + 236 = a. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*(sqrt(34) - sqrt(544)))\/(-1*sqrt(162) + sqrt(2) + sqrt(2) - (sqrt(2) + sqrt(242)*1)).\nAnswer: 72*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55121716613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128349 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1482960 to the nearest one thousand.\nAnswer: -1483000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -957.919 and 13.\nAnswer: -12452.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1942594891 to the nearest integer?\nAnswer: 44075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -9860 (b) -0.03 (c) -0.5 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -257 + 308. Calculate the highest common divisor of z and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 8 = -4*z, -z - 4*f = -6*z + 37 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11712140 and 2130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 922 = -3716. Round k to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15 (b) -5 (c) -18 (d) -3 (e) 3 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 1715\/575)\/((-2)\/(-10))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 20. Suppose 3*a - 3*z = -2*a + s, 5*z = 0. Suppose 0 = a*m + 8, 4*m - 589 = -2*j - j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 7.88. Let l = o - -5.12. Let k = -10 - -14. Which is the smallest value? (a) k (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -10*g**3 - 3*g**2 - 9*g + 19. Let a be f(3). Let v = -262 - a. What is the remainder when 169 is divided by v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44230000 (base 5) in base 6?\nAnswer: 12113421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, l: 3, o: 2, a: 1}. Give prob of picking 1 l and 3 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 351 = 33*w. Let b = w + -2. Solve 17 = -z + 3*g, -2*z + 3*g - b = -4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 3:50 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 minus 60?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3\/4, -8\/189, 0.2?\nAnswer: -8\/189","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-10 - -13 - 0) + 8 - (7 - -75)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 4, -3, -1, -66952106 in increasing order.\nAnswer: -66952106, -3, -1, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -14*h**3 - 6*h - 23. Let m(s) = 40*s**3 + 17*s + 69. Give 6*m(p) + 17*x(p).\nAnswer: 2*p**3 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 + 1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3321 by -15.\nAnswer: -1107\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1970.746 milligrams?\nAnswer: 0.000001970746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*-2)\/(sqrt(2) - sqrt(98)*-1)*-3.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16146088 by 392.\nAnswer: 41189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/3962682 and -127\/4392.\nAnswer: 15850728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 214460, 214461, 214462?\n\"Answer: p + 214459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 - 38 - 30 - 2*w)*(3*w - w + w)*(11*w + 8*w**2 - 11*w).\nAnswer: -48*w**4 + 72*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16316.\nAnswer: 2, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4828 (base 9) in base 2?\nAnswer: -111000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1)*(-28783 + 291*q**4 + 28783) + (-3*q + 7*q + 0 - 4)*(3*q**3 - 4*q**3 + 2*q**3) to v*q + m*q**3 + n*q**4 + j*q**2 + x and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 - 49*d**2 - 23*d - 62. Let p be w(25). What is the smallest common multiple of p\/((-7)\/(-4)*(-3)\/14) and 3?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 67*v - 31. Let n be w(10). Calculate the common denominator of 97\/22 and n\/63 - 5 - 1\/2.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/((-28355)\/5670 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1386903 + -0.5.\nAnswer: 1386902.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 11 - 5 = 0. Let a be (3 - -2)\/(j\/(-3)). Suppose -86 = -3*b - 77. Solve b = -h + a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -716, -642, -590, -560?\n\"Answer: -11*j**2 + 107*j - 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899 is divided by 52?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 3857 - 1976 = 0. What is the highest common factor of 21 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3269, -2798, -1585, 742, 4555, 10226, 18127?\nAnswer: 28630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m**5\/m*m*m)))\/(m\/(m*m**(1\/7)\/m)*m))**(-50)\/(m**(-5\/3)*m*(m\/m**(1\/6))\/m*m*m*(m\/(m*m**1\/m*m))**(-2\/79)) assuming m is positive.\nAnswer: m**(-857155\/3318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -27. Let y = 11 + 1. Suppose 4*x - y = -4. Sort x, 0, b, 3.\nAnswer: b, 0, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -254 + 250. Sort 0.34, c, 2\/3 in descending order.\nAnswer: 2\/3, 0.34, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -0.4, 2\/5, 901, 5?\nAnswer: 901","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34.1 - 31.1. Which is the closest to 2\/3? (a) -5 (b) 2\/87 (c) x (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 112, -1, -48, 2 in decreasing order.\nAnswer: 112, 2, 1, -1, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 5:26 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -23*c**2 + 6*c - 3. Let q(g) = -8*g**2 + 2*g - 1. Let p(x) = 17*q(x) - 6*y(x). Let i be p(2). Solve -5*l = -i*w - 5, -w = -5*w + l - 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1001 and 1039181.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**2))**44\/(t**(1\/3)*t*t**(4\/7)))**(-11\/4) assuming t is positive.\nAnswer: t**(-4972\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 4, -5*q + 15*l = 14*l + 69 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-28 - -14) - ((7 - -1) + 34)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89095837 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0343 + -0.0343. Which is the nearest to 1? (a) 1\/2 (b) 8 (c) 2\/3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2160 is divided by 244.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x**2 + 3*x - 1. Let f(h) = -13*h**2 - 7*h + 3. Suppose 0 = -17*w + 21*w - 124. Suppose w*a + 30 = 37*a. Give a*k(o) + 2*f(o).\nAnswer: 4*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -28*a - 1. Determine d(-3).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 58\/18 - 6\/27. Suppose s*q = -2*q + 25. Suppose 5*h + 4*x - 325 = -x, 325 = q*h - 4*x. What is the highest common factor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 358*a*q**3*x**2 + 30733*a*q**3*x - a*q**2*x**2 + 6*a*q - 2551980*q**2*x wrt q.\nAnswer: 2148*a*x**2 + 184398*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/6 + 5 + 4 + -7 - 160\/960. Find p, given that 12\/7*p**2 - 2\/7*p - 12\/7 + 2\/7*p**t = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 0 + 0)*(0 + k + 0) - 11 + 4*k**3 + 11 + (3*k - 5*k + 4*k)*(2*k**2 - 3*k**2 + 0*k**2).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 19. Let n be (162\/(-144))\/(2 + p). Which is the biggest value? (a) 1\/6 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232229, -464318, -696405, -928490, -1160573, -1392654?\nAnswer: -1624733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(51)*-2)\/(sqrt(33)\/(sqrt(11)*-4)))**2 + 3.\nAnswer: 17411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -340 in 1197\/8, -3\/8, -0.2, 3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 17*w - 35 = 0. Let h = 2 + 1. Let y = 11 + h. Calculate the greatest common factor of w and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 53229878?\nAnswer: 53229878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.13 + -24.73. Which is the third biggest value? (a) g (b) -8 (c) -0.4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1002 and -33\/10.\nAnswer: 5010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 55663 and 55658 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 34*v. Let i(g) = 38310*g. Give i(a(r)).\nAnswer: -38310*r**2 + 1302540*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4216 = -5*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230005886?\nAnswer: 2, 11, 17, 101, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/(-660))\/((-2)\/5). Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*b + 80 + 208*b**3 - 88*b**3 - 90*b**3 + 3*b wrt b.\nAnswer: 90*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14839111?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -2\/9, -1\/3, -4 in increasing order.\nAnswer: -4, -3\/4, -1\/3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -715, -158, 763, 2042, 3673, 5650?\nAnswer: 7967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/60*((-12)\/(-9) + 0). Which is the second smallest value? (a) 4\/5 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/500 + (-3)\/(-350). Which is bigger: w or -0.16?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2255 - 1287. Is 44 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j - 140. Let v be z(21). Suppose -147 + 495 = -4*o. What is the tens digit of (1 + o)*v\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*o + 111*o = 9958 + 209 + 2625 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**2*n*z + 4*h**2*z - 36*h*n + 2*h*z + 2*n*z - 16*n + 812*z wrt n?\nAnswer: -h**2*z - 36*h + 2*z - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1508 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 816 and 44.\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4901665889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181497 is divided by 550.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -38*w + 455. Let f(x) = -70*x + 908. Calculate -6*f(d) + 11*g(d).\nAnswer: 2*d - 443","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**5 + 10*l**4 + 4015*l**3 + 10220*l**2 - 848980*l - 5595040 = 0.\nAnswer: -17, -8, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-9))\/((-6)\/9). Let d be -2 - -2 - 2\/m. Is 11 a factor of -2*(2 - 37\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Let v be (2 - 1)\/(3\/(-18)). Let c = v + 5. What is the second smallest value in 0.2, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1299.4+0.2\nAnswer: 1299.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -21. Suppose 0*s + z = 3*s. Solve s*d = d + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*z - 4 = 2*z, 0 = -b - 3*z + 6. Suppose g - 12 = -b*g. Suppose 0 = g*i - 2*i - 3. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one halves of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 2*f - f + (4*f + 8*f - 6*f)*(-3 + 3 - 1).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1141432 and 1464.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-5 + 3 + -3 - -21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -2)*(3 - 2). Let d(u) = -2*u + 2. Let g be d(r). Solve -g*o + 3*o + 4 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146543?\nAnswer: 146543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*w - 2874 = 1383 - 687 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32320598 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 29*d**2 - 7. Let l be n(-3). Let f = l + -97. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 1:44 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.7 and 0.573.\nAnswer: 1.5471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10)*-7*(-20)\/(-4). Let b(l) = l**3 + 14*l**2 + 7*l - 6. Let m be b(y). Let f = m + 172. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*(30\/9)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.6 - -26. Let g = -3 + 1. Let c = 3555 - 3554.3. What is the closest to 0 in q, g, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7384?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xelxlxqexppq. What is prob of sequence lp?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5 = -i, -2*v + 8 = 4*i. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from edsgagdedegegeg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 472*g**3*h**2 - 53*g**2*h - g**2 + 19*g*h**2 + 1799 wrt g.\nAnswer: 2832*g*h**2 - 106*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8 = 3*p. Let c be ((-4)\/p)\/(2\/(-8)). Solve -m + 4*k + 12 = -k, -2*m - c = 3*k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28051*b**2 - 7879*b**2 + 5845*b**2 - 31161*b**2.\nAnswer: -61246*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 86*c**2. Let t(v) = 2880*v**2. Give i(t(g)).\nAnswer: 713318400*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21342, 16600, 11846, 7074, 2278, -2548, -7410, -12314?\nAnswer: -17266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a - 42. Let n be u(14). Suppose 0*c = -2*c - 4. Let w be c\/(-11)*(-3)\/(-2). Is w less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -5\/12*b**4 + 0*b**3 + 1\/12*b**5 + 2*b + 7*b**2 + 0. Let l(j) = 0. What is j?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 = 35*f + 137. Let b(r) = r**2 + 23*r + 68. Let n be b(-20). Solve n*x = -f + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 2*n + 11, n + 33*u - 11*u - 2 = 21*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.73 + 0.73062. What is y rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85551.56 plus 4?\nAnswer: 85555.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 102 - 103 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 10. Let o be h(0). Let a be (-38)\/o + 2\/10. Suppose 3*b - a*b = -21. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31+28051\nAnswer: 28020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3633 and 882.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, h: 2, i: 1, z: 1, q: 4}. Give prob of picking 1 q, 1 i, and 1 z.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = -5*t + 2*b, 2*t + 11351 = -b + 11271 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14356010)\/(-130) - (-34)\/221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, w: 4, c: 1, f: 4, m: 1}. Give prob of picking 3 f.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 - -0.5. Let m be (4 - 4\/12) + -5*21\/35. What is the third biggest value in k, m, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8638602 and 0.07.\nAnswer: -604702.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -9 (c) 19 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + b)*(0*b + 2*b**2 + 0*b) + (-480*b + 538*b**2 + 480*b)*(-2*b + 0*b - 4*b).\nAnswer: -3226*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + 5)\/((-2)\/14). Let n(a) = 2*a - 12. Let k be n(c). Suppose -x = -2*d - 5 - 27, k*x + 3*d - 43 = 0. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 16, 3 in decreasing order.\nAnswer: 16, 6, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 5*g**4\/12 - 35*g**3\/3 + 5*g**2\/2 - 27*g. Let n be r(16). Calculate the highest common factor of 105 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121294.81 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, r: 1, v: 2, l: 2}. What is prob of sequence ev?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -164.67 and -34.084.\nAnswer: -198.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 446.5044 rounded to the nearest 10?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 49912430, 199649710, 449211842, 798598826, 1247810662, 1796847350?\n\"Answer: 49912426*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -d - 26 + 60, 0 = -3*q + 5*d + 70. Calculate the remainder when 77 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205211532?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.524 to one dp.\nAnswer: -25.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 82*c**2 + 47*c + 2. Let k(n) = -2*n. What is k(x(d))?\nAnswer: -164*d**2 - 94*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 140 = 7*o, -14*o - 56*l + 53*l - 60 = -19*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - y**4 + 2 + (y**4 + 2*y**3 - 2*y**3)*(-3 + 4 - 2) - 1 + 1 + y**4 + (-y**3 + 2*y**3 - 3*y**3)*(3 + 2*y - 3) + 6 - 4*y**4 - 6.\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/25*-5 + (-3)\/(-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56558 is divided by 28270?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 6)\/((-1)\/(-3)). Suppose 2*y + 3 = 1. Let r be (-6 - a)\/(y\/(-4)). What is the highest common divisor of 18 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3, 2, -39, -1\/4 in descending order.\nAnswer: 2, 0.2, -1\/4, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 - 28. Let h = -116 - a. Solve 0*k + 12 = -h*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*z**3 - 68*z**3 - 60*z**3 - 61*z**3 - 72*z**3 + 404*z**3 - 74*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8948*l**2*p - 23430*l**2 + 83*l*p - 3*l - 2*p - 199 wrt p?\nAnswer: -8948*l**2 + 83*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -p + 3574, 4*z - 1116 = 2*p + 1732. Let l = z + -659. Calculate the greatest common factor of 77 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.40774 rounded to 3 decimal places?\nAnswer: 4.408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (339 + 1620*m + 1707*m - 3211*m)*(4*m - 5*m + 5*m) in the form b*m + r + v*m**2 and give v.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44441264.852997012 + -44441264. Let d = c + -0.853. Round d to seven dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 (base 16) in base 10?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*k, -2*g + 50*k + 130 = -0*g + g + 56*k + 19 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -524, -521, -516, -509, -500, -489?\n\"Answer: q**2 - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 0.3, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 50 + 2 - (-103 - -136)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -15 + (0 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, h: 11}. Give prob of sequence hd.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3 - 2858*v**2 - 2067520*v - 36295200 = 0. What is v?\nAnswer: -1420, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-50)\/165*-3 - (-2)\/22) + 914 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7372745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 50, -3, 5, 0 in ascending order.\nAnswer: -3, 0, 1, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 594.9466 kilograms to grams.\nAnswer: 594946.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1134 = -186*d + 139*d - 5082. Which is bigger: -79 or d?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 2\/13, 0.1, -26, -2\/13?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7281*r**2 - 272*r - 271. What is the lowest common multiple of x(-1) and 20?\nAnswer: 72820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5\/7 - 92*n**4\/7 + 334*n**3\/7 + 92*n**2\/7 - 48*n = 0.\nAnswer: -1, 0, 1, 4, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 plus -0.24?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 11) to base 4.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 3684432*s - 848439947664.\nAnswer: -4*(s + 460554)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 34982*u**2 + 9*u - 16. What is the tens digit of z(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 - 48. Suppose c - 24 = -5*m, -24 = -3*h - 3*m. Let s be (-2 + -1)*(h - 0 - 6). Solve -s*g = -5*v + 24, -18 = g - 6*v + v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/33 - (-9)\/(495\/(-265)). What is the nearest to -0.3 in 4, -2, 3, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(sqrt(700)*-4)**2.\nAnswer: 22404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*i - 568733228*i**2 - 37*i + 568733231*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 156789648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o - 34*o + i + 17 = 0, 5*o + 3*i + 79 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.168 and -2.\nAnswer: -1.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 12:41 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30, -272, -1020, -2556, -5162?\n\"Answer: -47*j**3 + 29*j**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10022112011020 (base 3) in base 2?\nAnswer: -110101110001100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 172*w**3 + 111*w**2 + 2246*w + 951206649 wrt w.\nAnswer: 516*w**2 + 222*w + 2246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 172*s**2 - 102*s - 6. Calculate f(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2490213, -2490211, -2490209, -2490207, -2490205?\n\"Answer: 2*p - 2490215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9794, -9, 3 in ascending order.\nAnswer: -9794, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 101, 234, 511, 980, 1689?\nAnswer: 2686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**2 - l**3 - 5*l**2 + 16 + 11*l + 2*l**2 + 9*l**2. Suppose -j - 263 = -275. Let t be i(j). Let x(b) = -b**2 + 2*b - 2. Determine x(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 151.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*j**2 - 48*j**5 + 24*j**5 + 14*j**5 wrt j.\nAnswer: -600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2315.32 to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*b - 6. Suppose 5*r - b*r = 0. Suppose -4*a + 641 = 5*h - 964, r = -2*h + 2. Round a to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-35)\/10 - -2)*(-20)\/6. Solve -2*w - 5*i = 2*w + 17, -4*w + u*i - 7 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 63\/(-15) - (-213638)\/(-10). Let k = -17 - i. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 270, 613, 1134, 1857, 2806, 4005?\nAnswer: 5478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Let z(d) = 9*d**2 - 11*d + 59. Let t(h) = -3*h**2 + 4*h - 20. Let o(f) = -11*t(f) - 4*z(f). What is u(o(x))?\nAnswer: -3*x**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 11*w + 32. What is s(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42449.\nAnswer: 11, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11461 less than 70802498?\nAnswer: 70813959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 170*z**4\/3 + 1333*z**3 + 7574*z**2\/3 + 1277*z + 86\/3 = 0.\nAnswer: -43\/2, -1, -2\/85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.29820865 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 369*k**2*n**3 + k**2*n**2 - 42*k**2 - 16*k*n + 2*k - 64044*n**3 + 522*n wrt n?\nAnswer: 2214*k**2 - 384264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 19 = 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-12 - -17 - 16) + (15 - -1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/262484068 and -43\/35?\nAnswer: 1312420340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 19*a**2 + 74*a**2 - 33*a**2 + 10*a**2 - 18*a**2.\nAnswer: 14*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h - 3. Let o be z(-3). Let r = 12 - o. What is the third derivative of -r*c**5 - c**5 - 4*c**2 + 2*c**2 - 2*c**2 wrt c?\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26821 less than -3?\nAnswer: -26824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c**5*g - 33*c**4*g - 2*c**2*g - 115*c**2 + 18*g wrt c?\nAnswer: -300*c**2*g - 792*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 - 7554*t. Let v(h) = 613*h. What is v(q(l))?\nAnswer: 1839*l**2 - 4630602*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 - -87. Let q = -1 - s. Let f be q\/((-18)\/3 + 1). What is the third biggest value in 0.1, f, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**3 + 1. Let q(a) = 31 - 31 + a. Determine i(q(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 0.05 (c) 1.92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2. Let w be (6\/(-8))\/((-1)\/8). Suppose j - w = -j. Let d(q) = -j + 2*q + 3. Calculate d(p(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {d: 3, g: 11}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1127 + 416. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87013806 and 1254.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3*f = 6246 - 6240, 0 = 3*d + f - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**3 + 32330*c - 2 + 2*c**2 - 13 - 32330*c as p*c**2 + g*c + x + v*c**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 2*x - 2, -2*x + 9*s - 10 - 23 = 6*s for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p + 6. Let q be i(2). Suppose -2*z + z + 154 = 0. Calculate the greatest common divisor of z and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661240 to the power of 1\/2, to the nearest integer?\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/7))\/(b\/((b*b**(-2))\/b*b))*(b*(b**(-14)\/b*b)\/b)\/b*b*b**(-11)*b assuming b is positive.\nAnswer: b**(-176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1058 (b) -0.2 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3101 + 2434?\nAnswer: 5535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/6 and (-7932)\/(-35568) - (-6)\/114.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*o = 18, 0 = -5*o + 8 - 23. Let f(p) = p**2 + 1. Let u(t) = -9*t**2 + 7*t - 33. Let d(w) = m*f(w) + u(w). Differentiate d(g) wrt g.\nAnswer: -6*g + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -2*sqrt(153) - sqrt(153))\/sqrt(9))**2 + sqrt(170)\/(sqrt(10)*-2 + sqrt(10)).\nAnswer: -sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.7, 2, 3, -2\/7, -0.13 in descending order.\nAnswer: 4, 3, 2, 0.7, -0.13, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -211 + 215. Let q(w) be the third derivative of 0*w**p + 0 - 2\/3*w**3 + 0*w + 1\/24*w**6 + 0*w**5 - w**2. What is the derivative of q(s) wrt s?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwrruwgrwrwwuwwur. Give prob of picking 1 g and 2 r.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f - 447 = 155*f + 11*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.75477822 rounded to 2 decimal places?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -94511, -189045, -283547, -378017, -472455, -566861?\n\"Answer: 16*n**2 - 94582*n + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20676 + 20686. Let v(m) = -17*m + 167. Give v(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162323.\nAnswer: 3, 43049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-4)*-10*560\/(-84). Let w = -72 + h. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 1 - 1. Solve l = -4*q + 16, 5*s = s + 5*q - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -22.\nAnswer: -22, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r - 9. Let c be q(-7). Let z = 84 - c. What is the greatest common divisor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46722 divided by -3594?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 40 = p. Let i(x) = -x + 6 - 84444*x**3 - 3*x - 3*x**2 + 2*x**p + x. Let n be i(3). What is n rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -24) + (-4 - (-429)\/(-87))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/28 and -69\/10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/4)\/1)\/((-14)\/(-12)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 4:28 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56234832 and 624.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*c - 2*j + 15 = 0, -5*c - 5*j = -50. Let u(i) = 9*i**2 + 2*i - 2. Let x(f) = 19*f**2 + 5*f - 4. Let d(z) = 13*u(z) - 6*x(z). Is d(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102*427\nAnswer: -43554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 28*v**3 + 16*v**2 - 12*v. Let q(a) = 10*a**3 + 5*a**2 - 4*a. Give 16*q(i) - 5*y(i).\nAnswer: 20*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**6\/120 - 2*j**5\/15 - j**4\/3 - 5*j**3\/3 + 2*j**2. Let f be (-6 + 9)\/((-4)\/(-12)). Calculate s(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 150225 or 150213?\nAnswer: 150225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -25?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.65 * 537\nAnswer: -886.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 5246458*f**3 + 9175108930740*f**2 + 5348541058451721542*f + 5348531883348037259.\nAnswer: (f + 1)*(f + 1748819)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 754, 753, 742, 715, 666?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 278 and 1506482.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4130 divided by -826?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 274178011?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*j + 48, 3*b - 7 = 4*j - 3*j. Let u be -1 + (2 - (-1 - j)). Let o be (u\/3)\/(1\/(-3)). Solve -3*t = -5*t - o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 289734 from -365.\nAnswer: -290099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95848, -191648, -287448, -383248, -479048, -574848?\nAnswer: -670648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 184.4 + -185. What is the second biggest value in -1\/2, 5, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.77229 and 4550.\nAnswer: 4549.22771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(243).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 0.1 (b) 1 (c) 0.034 (d) -0.2 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 - -0.13. Let i be ((-6)\/(-9))\/(2\/6). Sort i, f, -1\/7 in decreasing order.\nAnswer: i, f, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314495 is divided by 370?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-7)*(-7)\/28. Suppose 0 = f - 0*f + m + 10, -3*f = -3*m. Let n be 1\/(3 + (f - -3)). What is the smallest value in 3\/2, y, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(-7))\/(610\/2135).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/1)\/(((-846)\/987)\/(2\/7))\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u - u - 2*u - 2*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 minutes before 9:42 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand (10*s + 19 - 19)*(369 - 369 + 106*s).\nAnswer: 1060*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, w: 3, v: 6}. What is prob of sequence wvwv?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -1\/3*h**4 + 0*h + 12*h**2 - 1\/3*h**3 + 0 + 1\/60*h**5. List the prime factors of p(-6).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 + 2*g**3 + 0*g**3 + (2*g**2 - 4*g + 4*g)*(-53*g - 35 + 29*g + 25*g) as k + w*g + o*g**3 + p*g**2 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, 4, 3 in ascending order.\nAnswer: -78, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 578.84272 - 0.20272. What is y rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 13*r + 5. Let n be b(13). Suppose n*w + 10 = -4*v, -2*w + 5*v = w + 6. Let j(k) = -31*k - 4. Does 17 divide j(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0*m**3 + 0*m**2 - 1\/5*m**5 + 1\/12*m**4 + 0 + 2*m. Find the third derivative of w(r) wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28096634?\nAnswer: 2, 14048317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2209 divided by 12.\nAnswer: -2209\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-55))\/(662\/(-38065)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/3526 - -80221\/5289. Calculate the common denominator of b and ((-42)\/(-45))\/((-276)\/(-1955)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*c + 20. Let j(l) = -l**3 + 3*l**2 + 2*l + 5. Determine j(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/(-140)*76 - 25?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*i**2 + 2*i**2 - 5*i**2 + (-2 - 1 + 1)*(50*i**2 + 45*i**2 + 25*i**2).\nAnswer: -251*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 - 3*v**2 + 2*v**2 + (-2 - v + 2)*(-341 + 341 + 5*v) + (-3*v + 4*v - 3*v)*(3 - 3 - v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 2*h + 1. Let i be v(2). Suppose -6*l + 2 = -i*l. What is the second derivative of 2*a - 8*a + 7*a**2 - l + 2 wrt a?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69.4 - -620.6. Let i = t - 689.999998202. Round i to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 507 = -3*t, -5*g = t - 0*t - 857. Let u = g + -103. Suppose 4 = -4*q + u. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-4)*z*z))\/(((z\/(z**1\/z))\/z*z)\/z))\/((z\/(((z**(2\/3)*z)\/z)\/z*z))\/z)**(-3) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 7, i: 2}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86101?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 18. Let t be (2 - u - -44) + 0. What is the tens digit of ((-1)\/(-2))\/(2\/t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-53)\/3975)\/(4\/8).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 5)*(-3*c**2 + 8*c - 8*c) - 14*c**2 + 8*c**2 + 17*c**2 + 24*c**2 as y*c + i + o*c**2 and give o.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -41*w - 1. Let v(d) = 3*d**2 - 428*d. Give h(v(s)).\nAnswer: -123*s**2 + 17548*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -202, 0, 2\/7?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4424 - 33. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4\/3, -9584652.\nAnswer: -9584652, -4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2 - 81*g - 78 = 0. Calculate g.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*n - 4*g + 63, -n + 21 = 5*g. What is the least common multiple of n and -2 + 5*2\/2?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 266*l - 13*l**2 + 10*l**2 + 2 - 52*l - 214*l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-12 - (-5 - 0) - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**3 + 35*b**2 + 10*b + 25. Let p be w(12). What is the closest to -5 in -4, 0, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 19 = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3. Let g = -4 + 3.68. Let o = -0.02 - g. Which is the second biggest value? (a) o (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1491*t - 285 + 751*t + 744*t)*(2*t + t - t).\nAnswer: 8*t**2 - 570*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 8712882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623365 is divided by 89045.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-23)\/r**(-18))\/(r**4)**(-1\/33) assuming r is positive.\nAnswer: r**(-161\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*(5*sqrt(18) + 2 + sqrt(2)*-3))**2*3.\nAnswer: 2304*sqrt(2) + 14016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 220 - 90. Let n(h) = h**2 + 23*h - 168. What is the remainder when j is divided by n(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 7 + 1. Let k be (-58)\/168 + 2 + q. Let x = k + 2\/21. Is 1 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**2 + 5. Let g(c) = 4*c**2 + c - 4. Let a = -2510 - -2514. Give a*q(y) + 5*g(y).\nAnswer: 4*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooododdoodoodoooooo. What is prob of picking 2 d and 1 o?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*t - 26*t - 950 = 0. Calculate the remainder when 892 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-36)\/(-14))\/((-2098)\/(-29372))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 1. Let d = 269 - 259. Calculate the least common multiple of n(5) and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*s + 80*s = -12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 600134361?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*q + 53, 0*z + 2*q - 177 = -5*z. Suppose -10 = -11*g - 76. What is the remainder when z is divided by (g - (-10 - -5))\/(2\/(-38))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 7*j = 1155. Suppose 0 = j*i - 107*i + 24646. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + 3*-3*sqrt(143))\/sqrt(11).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8576233142 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 10 = 5*j, -5*v + 4*j - 8 = -7*v. Suppose -h + 5*c + 26 = 4*c, v = 3*h + c - 70. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-18)\/(-72))\/((-38)\/106) - 0 and -123\/10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + 2*sqrt(176) + 2.\nAnswer: 2 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108884 is divided by 108834?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-56) + 2 + -3 + 1. Which is the closest to k? (a) 2\/7 (b) -1\/5 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46492 (base 13) in base 8?\nAnswer: 372335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 741994750?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v + 3. Let m(j) = 10*j + 16. Let g(t) = -3*m(t) + 16*s(t). Let q(x) = 36*x. Calculate q(g(u)).\nAnswer: 72*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p + 6. Let l(q) = 7*q + 11. Let m(s) = 5*h(s) - 2*l(s). Let n(x) be the first derivative of 1\/2*x**2 + 7*x + 18. Calculate -5*m(o) + 6*n(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 3. Let o(i) be the first derivative of 1\/3*i**3 + 86 - 4*i + 0*i**2. Let s(n) = -n + 10. Let f be s(6). Give f*k(t) + 3*o(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19644984.\nAnswer: 2, 3, 103, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide ((-6)\/(27 - -9))\/(5\/(-443670))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1246, 2485, 3724?\n\"Answer: 1239*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -65. Let a = 30 + r. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.5 - -6.227. Let n = 0.2786 + u. Round n to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-17*o - 10 + 10)*(1 - 2 + 2) + 0 + 0 + o)*(17 - 53*o - 17)*(-2 + 4 - 6)*(-o**2 - 3*o**2 + 2*o**2) as t*o**4 + k*o + r + a*o**3 + d*o**2 and give t.\nAnswer: 6784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + o. Let q(f) = 6*f**2 - 1. Give -4*g(c) + q(c).\nAnswer: 2*c**2 - 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -0.17, -0.1 in decreasing order.\nAnswer: 2\/5, -0.1, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 541*y - 12. Is f(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152 + -155. What is the fourth biggest value in d, 4\/3, -2, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0963 * 803.\nAnswer: -77.3289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 362268a + 0?\nAnswer: 362268a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 13*x + 16. List the prime factors of n(3).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-4)*d*d**(-3\/14)*d**(-21)*d\/d**(-7) assuming d is positive.\nAnswer: d**(-213\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 73.9921 millennia?\nAnswer: 887905.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*r - 4, -9 = -0*w + w + 5*r. Let c(f) = 3*f**2 + f - 1. Let i be c(w). Suppose -i*z + 6 = -18. Calculate the remainder when 14 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 330*p + 321*p - 645*p. Let i(t) = 2*t**2 + 12. Give w(i(m)).\nAnswer: 12*m**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249.7407 hours to microseconds.\nAnswer: 899066520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j**3\/6 + 131*j**2\/6 - 100*j\/3 - 34\/3 = 0.\nAnswer: -2\/7, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11036 times 3?\nAnswer: 33108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 287 - -4?\nAnswer: 28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 16. Let o be ((-817)\/(-152) + -5)\/((-1)\/(-2)). What is the second biggest value in -0.22, a, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/(-10)*(-50)\/(-75).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -u - 18, 7*t - 296*u + 295*u + 13 = -13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027862 to 3 dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/15 + 11014*h**2\/15 - 2387012*h\/15.\nAnswer: -2*h*(h - 5281)*(h - 226)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -2. Let m be 2\/4*(0 - -26). Let c = 15 - m. Solve -c*u = -0 - n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1698, 3327, 4892, 6387, 7806?\n\"Answer: -m**3 - 26*m**2 + 1714*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 81\/18 - (-6)\/(-4). What is the derivative of 8*m**4 - 4*m**4 + 5*m**4 - 2 - p*m**4 wrt m?\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(39\/(-6)*56\/(-28)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.999865 - -14. What is f rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 32. Let v(k) = -2*k + 40. Let o(n) = -5*b(n) + 4*v(n). Let q(w) = -13*w - 10. Determine o(q(s)).\nAnswer: -26*s - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-5 + 1 - 2)*(-3 + r + 3 + (-2 + 0 + 0)*(4988 - 538*r - 4988)).\nAnswer: -19386*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 525*v**2 + 163*v**2 - 108042 + 108040.\nAnswer: 688*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.8196616kg?\nAnswer: 819661600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4\/q**(1\/6))**35)**7 assuming q is positive.\nAnswer: q**(5635\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/7254 and -77\/26.\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49931089, 49931092, 49931095, 49931098?\n\"Answer: 3*d + 49931086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 + (-24 - (-12 + -1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1300596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 181467 and 51183.\nAnswer: 1996137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 2. Let q(a) = -1. Let n(g) = -g**3 + 14*g**2 - 30*g - 30. Let y be n(11). Calculate y*q(r) + v(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 97320.44 litres?\nAnswer: 97320440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-217)*13769\/(-9835)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 20, 1367, -37 in increasing order.\nAnswer: -37, 3, 20, 1367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2337 + 2434. Solve -3*w + 103 = z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10140?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 148907965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.261+102774739\nAnswer: 102774739.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 31\/(-3) + -11 + 26. Let n(o) be the first derivative of 0*o**4 + 17\/5*o**5 - 22 + 0*o - s*o**3 + 0*o**2. Find the third derivative of n(m) wrt m.\nAnswer: 408*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/24, 4, -1\/7.\nAnswer: -3, -1\/7, 1\/24, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.5 + -53.\nAnswer: -41.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19843.352 - 19917. Let y = 75 + w. Let d = y - 1.4. What is d rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 10*m. Let 6\/7*l**2 + 2\/7*l + 4\/7*l**3 + m = 0. Calculate l.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/96620 and 67\/4444520.\nAnswer: 4444520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -11*v**7\/105 - v**6\/15 - v**5\/15 - v**3\/3 - 432*v**2 + 2. What is the third derivative of o(a) wrt a?\nAnswer: -528*a - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 219575 and 68481051.\nAnswer: 8783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h - 14. Let l(j) = -8*j + 14. Let p(o) = 5*f(o) + 6*l(o). Let q(i) = -i - i + 8 + 1. Determine -5*p(v) + 8*q(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-1) + (18 - 24). Let o = m - -9. Let j be (-3)\/(-2)*2\/(-12). Which is the nearest to j? (a) -3 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2970)\/270*6\/550?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406338588 to the power of 1\/2, to the nearest integer?\nAnswer: 20158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 724\/128 - ((1 - 2) + 6) and -49\/156.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3\/14))**(1\/2)\/(d\/((d*d**(2\/39))\/d)*d**19) assuming d is positive.\nAnswer: d**(-21121\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44980)\/2860 - (5 + -21).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -68*j + 250 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -9, 0*w - 2*w + 90 = -2*i. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 12*z + 215*m - 214*m, 3*z - 3*m = 21 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 3*c**2 + 3*c + 3. Let g be j(4). Suppose -11 = -t - 5*y, t + y - g = 6*y. What is the remainder when t is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 655?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 2*x**2 + x**2)*(-163*x**2 + 163*x**2 + 18*x**3)*(8 + 7 - 20).\nAnswer: 90*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/15*-5*(41 - 1). Let a be 24\/5 - (-16)\/c. Suppose -d + 102 = -a*r, 5*d = r + 2*r + 576. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k\/k**(-4\/3)*((k**(-1\/3)\/k)\/k)\/(k\/(k**2\/k)))\/((k\/((k\/(k\/((k*k\/(k*k**(-2\/5)))\/k)))\/k*k))**(-3\/19))**(22\/3) assuming k is positive.\nAnswer: k**(-504\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4314, -8631, -12960, -17301, -21654, -26019?\nAnswer: -30396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102.876 - -103. Let p = 0.054 - g. Let o = 0.1 + -0.1. Which is the closest to 0.1? (a) o (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, p: 3, r: 1, g: 2}. Give prob of sequence rgp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 4. What is the second derivative of 3*j**2 + 4*j**2 - 6*j**2 - g*j**2 + j wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from lldllldlllldlll.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.114362 times -0.02?\nAnswer: 0.00228724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 + -12110101121?\nAnswer: -12110102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -257171.6*0.03\nAnswer: -7715.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eleeeeeellseeesl. Give prob of sequence eles.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 0.3216955 (b) -0.02 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 148899 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41112 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z - 4. What is w(-10)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 + 32*x - 135. Let b be y(-14). Sort 37, 4, b, -1 in increasing order.\nAnswer: -1, 4, b, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*d**2)*(-1 + 1 + 1 + (2 + 0 + 0)*(-9 - 11 + 43)).\nAnswer: -94*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7523, -15052, -22581, -30110?\n\"Answer: -7529*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*g - 141*g = -262*g - 3296. What is the remainder when 745 is divided by g?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*h = -3*h - 10, 3*h = 3*o - 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (793\/(-26))\/(15\/(-14) - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5e1 (base 16) to base 13.\nAnswer: 8ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002239 rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4617 + 101.3\nAnswer: 4718.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**5 + 53*c**2 - 53*c**2 + 2*c**5 - 4*c**5 + c**5 + (3*c - 5*c + 0*c)*(-c**4 + 0*c**3 + 0*c**3) + c**5 + 3*c**5 - 3*c**5.\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223, 202, 163, 100, 7, -122?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32517 is divided by 6502.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77164, 153483, 229802, 306121, 382440, 458759?\nAnswer: 535078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/12 + 85\/20. Find the second derivative of -o**5 - 7*o + o + 5*o - a*o**5 wrt o.\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178109 is divided by 2375?\nAnswer: 2359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-60)\/(-35)*22*(-3948)\/(-16) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31134010 (base 6) in base 14?\nAnswer: -1958a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 9. Sort -1, 10, -3, p in descending order.\nAnswer: 10, p, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/4)*o*o**6*o*(o\/(o\/o**(3\/8)*o))\/o**(1\/4))\/((o**(-2\/5)\/((o\/o**3)\/o))\/(o*o**2*o**(-7)*o*o)) assuming o is positive.\nAnswer: o**(131\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -75*v + 1584. Let j be k(21). Calculate the greatest common factor of 459 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 14. What is the remainder when r is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.079 + -4.079. Which is the fourth smallest value? (a) 4 (b) 245\/3 (c) r (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47439 = -343*d - 63560 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 182563\/80 - 2282. Let t(d) be the second derivative of -1\/24*d**3 + 1\/120*d**6 - j*d**5 + 0 + 1\/16*d**4 + 0*d**2 + 2*d. Suppose t(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -12*t + 919. What is b(75)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d9e (base 15) to base 5.\nAnswer: 303244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1519*k + 1446 + 340 + 224 + 2226 + 692*k wrt k.\nAnswer: 2211","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11344 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4105 (base 16) in base 15?\nAnswer: -4dea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -8*n**6\/15 + n**5\/15 + n**4\/8 + 277*n**3\/3 - 2420*n**2. What is the second derivative of s(g) wrt g?\nAnswer: -384*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2205159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 12*n**2 - 12*n + 11. Let h(l) = l**2 + l - 1. Determine 22*h(x) + 2*y(x).\nAnswer: 4*x**3 - 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-70)*(32\/6 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260586 by -62.\nAnswer: -4203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 q when three letters picked without replacement from qtqtirqotitt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -3*z - 11*w - 4, -z - w = -2. Solve 4*l - 5*a + 3 = -z, 3*l + 5*a = -11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lls when three letters picked without replacement from {r: 2, q: 1, l: 3, s: 6, x: 4}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Suppose -5*k - q*z + 36 = 0, 7*z = -4*k + 4*z + 28. What is the third derivative of -1 - k*s**3 + 5*s**2 - s**2 + 1 wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + n - 1. Let r(t) = 7*t**2 - 11*t + 2. Let i(p) = -6*j(p) - r(p). Suppose 0 = -3*b - b + 80. Let u = b + -14. Calculate i(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 3*w + 16. Solve 2*u = -5*z - 19, 0 = -w*z + u + 1 - 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1 = -3. Let m be 20\/6 - l\/3. Let y = 14 - m. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/28)\/(40\/16)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 118 (c) -2\/3 (d) -0.4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 13*o**2 - 7*o - 1. Let m be t(3). Calculate the highest common factor of m and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(209)*-3 - sqrt(209) - sqrt(209))*-1)\/(sqrt(11) + (sqrt(99) + sqrt(11))*-4))**2.\nAnswer: 2*sqrt(19)\/3 + 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2557894 and 164008.\nAnswer: 3154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23907 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 less than 0.29?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 5) in base 2?\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 1.4, -4, -0.07, 10, -0.4 in decreasing order.\nAnswer: 10, 1.4, 0.03, -0.07, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -9420.1645 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 18*p + 3924. Let i(u) = 13*u + 2617. What is -7*i(b) + 5*k(b)?\nAnswer: -b + 1301","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5899635 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**6\/120 - l**5\/20 - l**4\/4 + l**3\/6 - l**2. What is the units digit of q(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + j - 7, -j - 10 = -6*j. Suppose h*m + 4*x - 28 = 0, 5*m - 5*x = -0*m + 55. Solve 0*f + m = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from ggdhdgdjgdfdgfgdjdj?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*n - 7 = 5*n, 3*n = 5*y - 11. Suppose 140 = i + y*i. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 599274?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/(-16)*3\/(-2) and 1 + (-20)\/16 + (-4)\/((-224)\/394).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 bigger than 23903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.773 - -0.678. Put 0.1, -4\/3, p, -0.3 in descending order.\nAnswer: 0.1, p, -0.3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -22, -30, -36, -40, -42, -42?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 429, 787, 1147, 1509, 1873, 2239, 2607?\n\"Answer: t**2 + 355*t + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 985631 = 5*c, 4*c - 3392*s - 788495 = -3389*s. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345170029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -h + 5, -2*h + 2*g = -0*g - 30. Let i(o) = 6*o - 20*o + h*o. Let z(q) = -q**2. Give z(i(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(4\/10)\/((-84)\/(-70)). Suppose 0 = -2*g + 4*g - 10. Solve 14 = -g*f - p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 40*z**2 + 13*z - 112. Is t(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333, 230, 43, -234, -607, -1082, -1665, -2362?\nAnswer: -3179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from fdllffyxylsxy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -v - 31, -4*v + 4*z - 30653 = -30545 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/259 + 800\/15281. Let g = 90\/413 + f. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 63. Let b(a) = 2*a - 11. Let p be b(w). Let k(d) = -2*d**2 - 5*d - 4. Give k(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4*u + 2806, u - 774 = -5*h + 3872. Suppose -2*o = -o + 5*t - 912, -o = -4*t - h. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 + -2 - ((107 - 102) + -56).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -670*g + 29. Suppose 69 - 9 = -10*b. Is c(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3 + 3 - 8 + 20*c**2. Let k be a(-2). Suppose 3*v - k = -3*x, -4*v - 76 = -4*x - v. What is the least common multiple of 104 and x?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0118831997 * 0.5\nAnswer: -0.00594159985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8*s + 144. Let l be m(5). Suppose -x = x - 34. Suppose 0 = x*v - 19*v + l. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 24*x**2 - 53*x + 42. Let s be w(26). Is s less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 13*h**2 - 2. Let p(g) be the third derivative of -g**5\/20 - g**2 - 59*g. Determine p(x(k)).\nAnswer: -507*k**4 + 156*k**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25036739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*q + 72*q - 106*q + 292 - 108 = -s, -3*q + s - 14 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/9, -3\/7, 1\/6, 4353 in descending order.\nAnswer: 4353, 2, 2\/9, 1\/6, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-4) - 1989\/(-1404). Let y(x) be the third derivative of q*x**3 + 0*x + 0 - 1\/24*x**4 + 9*x**2. Give y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.013 - -0.113. Let f = 7 - 12. Which is the closest to l? (a) 2\/11 (b) 7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (190\/(-20))\/((-273)\/(-28) + -10). Solve -20*r = -r + v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54647 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2\/(-4))*(1 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4087699 by 77.\nAnswer: -53087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 490940922?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3392 and 39008.\nAnswer: 78016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o = -11 - 93 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 9*u**2 + 5*u - 19. Let a(z) = -13*z - 29. Let p be a(-3). What is the remainder when x(p) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 4*g**2 - 9*g - 15. Suppose 3*n + n = 28. Suppose 0*c + 4 = 2*c - 3*q, 0 = 3*c - 4*q - n. What is the least common multiple of c and f(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9510000 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5703\/4 + 1426. What is the nearest to 1 in 0.1, -4, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0 = -2*c. Let b be 3 + (2*(c + -1))\/(-2). Let q be (1 + -4)*2\/(-6). Put q, b, -2 in descending order.\nAnswer: b, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/2? (a) 3\/4 (b) 0 (c) -0.3 (d) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -15*z**2 - 3*z - 21. Let m(s) = -8*s**2 - 2*s - 11. Calculate 11*m(v) - 6*n(v).\nAnswer: 2*v**2 - 4*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04 - 0.03. Let a = r + -1.01. Which is smaller: -0.03 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10797 and 120536?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 124333.59 months in years?\nAnswer: 10361.1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 9*r**2 + 35*r - 172. Give n(6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -q - 0*q - 5*a, -4*q - 725*a - 35 = -719*a - 135 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-55)\/((-1485)\/6))\/(2\/72). Let h(j) = -18*j**2 - 4*j - 3. Let v(k) = 27*k**2 + 6*k + 4. Determine i*h(x) + 5*v(x).\nAnswer: -9*x**2 - 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q + 12. Suppose -3*b + q*b = 6. Suppose 28 = 3*f + 2*d - 0*d, -3 = b*f - 3*d. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r + 79*r**2 - 6*r + 12*r + 4*r to the form z + b*r + o*r**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1483*j + 1003*j = 13440 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a tonne in kilograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5130096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -33. Calculate the remainder when 166 is divided by (-18)\/(30\/8*(-3)\/x).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12395891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57\/145 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by ((-6)\/8)\/((-3)\/60)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 19, 16 in increasing order.\nAnswer: -2, 1, 16, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 817 - 17402?\nAnswer: -16696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 69 = -2233*d + 2230*d, d = 3*p - 11 - 22 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 1085\nAnswer: 6\/1085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -461 or -462?\nAnswer: -462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 81 = -0*o. Let t = -456 - -456. Solve t*f + 4*f + q - o = 0, -4*q = 2*f + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47a + 132?\nAnswer: 5ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12345 + -11 + 8 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3035, -6053, -9057, -12047, -15023?\nAnswer: -17985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44\/15 - -18\/5. Sort -3, c, -2 in descending order.\nAnswer: c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 3.23609\nAnswer: -12.94436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 17*g**7\/1260 + g**4\/6 + 25*g**2 + 5*g - 1. Let a(u) be the third derivative of q(u). Let m(p) = p**2. Calculate m(a(n)).\nAnswer: 1156*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.88448 kilometers to meters.\nAnswer: 99884.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 335887 and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*w = 11, 0*j + 2*j + 14 = -4*w. Which is greater: j or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 317 and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249033*h - 498882*h + 249850*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051692091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*j - 28771, -2*j - 4*v - 15284 = -44060. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -807*s + 1107*s - 6600 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccaa. Give prob of sequence aa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*s**2 - 62*s**2 + 160*s**2 - s**2 - s**2 + s**2 + (-3 + 0 + 2)*(3*s**2 - 5*s**2 + 0*s**2) - 5*s**2 + 4*s**2 + 2*s**2 + 3*s**2 + s**2 - 2*s**2.\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 8:40 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1665 = -2*u - 1581. What is the highest common factor of u and 280?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5693, 5689, 5685, 5681, 5677, 5673?\nAnswer: 5669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.6838 + -0.0162. Let g = u + 41. Sort g, -2\/11, -6\/19 in descending order.\nAnswer: g, -2\/11, -6\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -17. Suppose -b - 8 = 2*u, 18 = -j*u - 5*b - 12. Let a(z) = z**2 + 2. Give a(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.3 - -12. Is n at most as big as 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -290*f**3 + 261. Let i(z) = 29*z**3 - 26. Let t be 18\/12 + 122*(-2)\/8. Let u(b) = t*i(b) - 3*q(b). Find the first derivative of u(o) wrt o.\nAnswer: 87*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -9. Let l = 7.000071 + m. Round l to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*i - 86 = 106, i - 398 = -4*g. Let o be -4*(-16 - (0 - (-1 - -7))). What is the greatest common divisor of g and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-250)\/(-40))\/(25\/40).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*a - 39*a + 5*n = 5, 15 = a + 3*n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-52 - -1157)*(-28)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 30. Solve -5*j = r*q + 3 + 12, 0 = -2*q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1680.79 + 1690. Let k = h + -1.51. What is k rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from {a: 1, d: 4, m: 1, p: 1, i: 4}?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/9)\/((-2)\/(-6)). Let c = r + 4. Suppose -2*w = -c*j + 55, -5*w - 26 = -3*j + 26. Solve 0 = -3*x + 3 + j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 239, -5, 2208 in decreasing order.\nAnswer: 2208, 239, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (100\/1000 - (-131)\/(-10)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j. Let f(c) = -9*c. Determine f(i(h)).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Suppose b = -x - 4*x + 115. Suppose 5*u - x - 32 = 0. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -8. What is the second smallest value in 7\/3, -3, g?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3, 90203.\nAnswer: -3, -0.2, 90203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4921 and 84?\nAnswer: -413364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -46\/3*j**2 - 8\/3 + 28\/3*j**3 + 32\/3*j - 2*j**4 = 0. Calculate j.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -25. Which is the nearest to -0.2? (a) -2 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3202119471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 54.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + ((-18)\/(-3))\/3. What is the smallest value in -1, i, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 4*g**2. Let v(j) = j**2 - 5*j + 8. Let k be v(4). Let y be l(k). Suppose 2*h - 2 + 4 = y. Is 0 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-1 + -2 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-1)\/21*(-6)\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/612*1\/(-2). Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*o - w, -o = 4*w + 15 - 18. Determine d so that -48\/7*d + 52\/7*d**2 - 24\/7*d**o + 4\/7*d**4 + 16\/7 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/(((-60669)\/47615)\/(-189))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106837 by 5623.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 1:12 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 115 + -126 + -47 + (2 - -1) + 0?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 7*i**2 + 118*i - 668. What is f(5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (56 - 45 - ((0 - -5) + -3)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/2*3\/2. Factor -u*p**4 + 6 + 2*p**3 - 3 - 3.\nAnswer: -p**3*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -106138*b. Let r(h) = h**2. Give r(o(v)).\nAnswer: 11265275044*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*g**2 - 22*g**2 + 47*g**2.\nAnswer: 139*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 2*w**2 - 2*w + 3. Let n be g(3). Let k be 26\/n - 2\/6. Suppose 0*r = -k*r + 80. Calculate the least common multiple of r and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 11*w**2 - 1. Let o be x(-1). Let p be (132\/o)\/(2\/10). Let y = 2348 + -2342. Calculate the highest common divisor of y and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2267920 and 1\/560?\nAnswer: 15875440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**2*j**4 - 239*a**2*j**2 - 6926*a**2 + 5389312*j**6 wrt j?\nAnswer: -48*a**2*j + 646717440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303816836 by 1.\nAnswer: 303816836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciizocociiczicvc. What is prob of sequence ooi?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24164\/6 + (-18)\/54 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) + 44\/6. Let u(j) = -4*j + 18. Let b be u(4). Suppose 2*r + r - 15 = 0. Solve b = k*s - r*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000582960821 rounded to six decimal places?\nAnswer: -0.000583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-112)*(-3)\/(4 + -1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 6 = -19*z + 14*z, -5*p + 4*p = 4*z + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1643842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -20. Suppose -4*u = a - 48, -a = 2*u - 5*a - 6. Calculate the remainder when u is divided by 21\/(-6)*p\/(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-8) + (-195)\/60?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 14*w + 14. Let t be m(6). Suppose 0 = 2*b - 8 + t. Solve -g = -b*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -24*s + 9*s + 19*s + 36, 0 = -166*s + 5*t + 387 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -5\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30\/(1 + -3)*28\/(-6) is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 0*o - 4*o**2 + 6 + 5*o**2 - 9 - 2*o. Let r be s(3). Calculate the remainder when 25 is divided by (-1 + 8)*(1 + r).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9399 + 150335\/16. Find the common denominator of 121\/20 and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1547 + -1544. Let j be (-1)\/(-2)*10 + -1. Solve -5*l - u = 19, j*l + 17 = -2*u - v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.6 + -48.599481. Round g to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*g**3*v**3 - 2*g**3*v**2 - 26*g**2*v**2 + 10*g**2 + 11*g*v**5 + v**4 wrt v.\nAnswer: 42*g**3 + 660*g*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - -1*sqrt(76))*1)\/sqrt(4) + (sqrt(228)\/(-2*sqrt(12)))**2*3.\nAnswer: 2*sqrt(19) + 57\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -156564, -168738, -180912, -193086, -205260, -217434?\n\"Answer: -12174*g - 144390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004609 to 6 dps.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2*r = 13 - 10, 0 = 3*j - 4*r + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k = -3*u + 2*u - 484 + 383, u + 7 = 4*k + 39 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567413887.\nAnswer: 23, 61, 404429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5660203253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -12. Suppose -5*y - 10 = -0*y, 5*d = -f*y + 101. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 145*s**2 + s. Let o be i(1). Suppose 2*f - 5*w = -o, 3*f + 229 = -0*f + 5*w. Is 0 + (1 - 1 - f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*j + 5 + 3, -12 = -3*a + 3*j. Suppose 0 = -a*r - 3 + 9. Suppose -o - 11 = -4*h, h - 6 = -0*h - r*o. Solve 0 = -3*v - 4*g + 20, 2*g = 1 + h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 2 - (-1 - -2). Let o(y) = -y. Let k be o(-2). Let u(v) = v**2 - 102*v + 1812. Let r be u(23). Put i, r, 1, k in increasing order.\nAnswer: r, i, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170220 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 6*l - l)*(129*l + 256*l - 60*l) as o + u*l + x*l**2 and give x.\nAnswer: -975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbeexxxwxxwx. What is prob of picking 1 w and 1 x?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -78999, -314732, -707629, -1257696, -1964939, -2829364?\n\"Answer: -u**3 - 78576*u**2 + 2*u - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**4 + 7*b**3 - 2*b**3 + 6*b**4 - 10*b**4 + 2 as m*b + g*b**4 + c + n*b**2 + h*b**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i**3 - 81*i**2 - 25*i - 156. What is the lowest common multiple of 20 and f(-8)?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*d + 6*d - 17*d)*((5 - 3 + 0)*(-4*d + d + 5*d) + 3*d - 3*d - d) - 3*d**2 + 0*d**2 - 8*d + 11*d.\nAnswer: 180*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + -79998?\nAnswer: -80007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/4299 in -1\/3, -0.6, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 131180028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -472 + 469. Sort -164, h, -1, -2 in increasing order.\nAnswer: -164, h, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 707259 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1643080, 1643081, 1643082, 1643083?\nAnswer: 1643084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in 0.2, -0.5, 2, 20?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*l - 64*l + 40*l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/126336 and -29\/826560.\nAnswer: 77696640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*z + 213, -5*p - 5*z = -622 + 232. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/1813 - 50769\/9065. Let s = 826 - 4073\/5. Find the common denominator of o and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w - 4. Suppose -w*j + 20 = 3*j. What is the second biggest value in 1\/5, -1\/9, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 309 + -198. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g + 1. Let p(i) = -19*i - 3. Let s(u) = -7*m(u) - 2*p(u). Let r be s(-1). Let a = 4 - r. What is the remainder when a is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 6.8 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + sqrt(2) + -3))**2 + sqrt(4)\/(sqrt(6)\/sqrt(3))*6.\nAnswer: -122*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 1. Let h(f) be the second derivative of -f**4\/12 - f**2\/2 + 8*f. Determine 5*h(m) + 6*p(m).\nAnswer: m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 43\/(-9) + 8\/(-36)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1984 + 1983. Is -4\/235 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3 - 2*d)*((0 - 2*d**2 + 0)*(-1 + 1 + 2*d) - 18*d**3 + 2*d**3 - d**3).\nAnswer: 42*d**4 - 42*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 4*d**2 + 890*d - 6209. Determine w(7).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 1. Let y be l(-2). Suppose 5*i - y*i = 6. Suppose 0 = -i*t + 41 - 8. Calculate the remainder when 65 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 474674.\nAnswer: -5\/474674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*k + 6. Suppose -10 - 15 = -k*q. Solve -2*a - i - 6 = 0, 10 = -q*a + 5*i - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 9. Let f = 32 + -23. Let l be r(f). Let v(y) = -y**2 + y + 12. What is the tens digit of v(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 5, 2\/9, 1, -0.163, 0?\nAnswer: -0.163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13\/64 or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*t - 650, 8*t - 12*t + 3*d + 1299 = 0. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 - 78*a**4 - 16*a - 2634 + 2628 + 11*a + 15*a as y*a**4 + j*a**3 + n + m*a**2 + v*a and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/27*-12*((-13)\/(-6))\/13.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3779521, -15118093, -34015719, -60472399?\n\"Answer: -3779527*y**2 + 9*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**4 + 2*g**4 - g**4)*(-6 - 4*g + 6) - 2*g**5 - g**5 + g**5.\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 478891873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33570 and 28390149.\nAnswer: 3357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/1 + 10 + -11. Suppose -9*n + 8*n = -u. Let a(m) = -m**3 - 3*m**2 - m + 3. Let k be a(-6). Calculate the highest common factor of k and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 68 = -3*m, 3*m + 15*c - 17*c - 103 = 0. Let p = -3 - -12. Solve -p*i + m = -14 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2) + (-3 - (8 - 4 - 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -307*j - 9342. Determine d(-31).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1230 (base 7) to base 12.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j + 5*q - 52, 0 = -j - q + 14. Calculate the greatest common divisor of 18 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 325 - 108. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337100998?\nAnswer: 2, 13, 12965423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyayyyyyyya.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 545*x - 673. Let g(b) = 546*b - 680. Let v(z) = -4*g(z) + 5*l(z). What is the first derivative of v(q) wrt q?\nAnswer: 541","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/25 - 4\/10. Suppose -9*v + 2*v - 70 = t. What is the remainder when 26 is divided by (-3)\/1 - 0 - v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3))**(1\/39) assuming u is positive.\nAnswer: u**(-1\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmsmmsmmsmmsmmmm. What is prob of picking 3 s and 1 m?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 983.9517 litres in millilitres?\nAnswer: 983951.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1525349 is divided by 61013.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 4*r - 4*r)*(12 - 21 - 5 + r**2) + 29*r**3 - 563 + 563.\nAnswer: 33*r**3 - 56*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 9:30 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41712?\nAnswer: 2, 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 13*y = -161460. Let l = -3919 - y. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-21))\/(8\/1*(-26)\/52).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*h + 167*h + 378 - 4563 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) + (-184)\/(-12). Suppose -4*c - 32 = -4*b, 2*b = -0*c - 2*c + j. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 50 + -28 + -55.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 - 362450197918?\nAnswer: -362450197918.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 131699897?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*d + 1459444 + 1687846 = 148*d. Is d a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -117*r**5 + r**4\/4 - 85*r**2\/2 + r + 1945. What is the third derivative of f(h) wrt h?\nAnswer: -14040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -34*o + 369. Let l be g(11). Let u(a) = 7*a**2 + 5*a - 3. Let p = 89 + -83. Let n(y) = 6*y**2 + 4*y - 3. Calculate l*u(b) + p*n(b).\nAnswer: b**2 - b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 355500, 1421602, 3198440, 5686014, 8884324, 12793370, 17413152?\n\"Answer: 355368*o**2 - 2*o + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 76745*v**2. Let k(t) = -10*t**2. What is r(k(m))?\nAnswer: 7674500*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3618776884 to the nearest integer?\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 17 = -4*r. Suppose 39*c - 8599 = -7741. Calculate the highest common factor of c and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7, -20, -43, -82, -143, -232, -355?\n\"Answer: -w**3 + w**2 - 9*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.882043 millilitres?\nAnswer: 0.003882043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m - 2. Let i(l) = l + 1. Let k(s) = -g(s) + 4*i(s). Does 3 divide k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1590 = 4*y - 1846. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s = -3*o - 15, 0 = 4*s + 3*o. Let d = s - -8. Let n = 22 - d. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -94*o + 4. Let d(v) = -103*v + 3. Calculate 9*d(w) - 10*z(w).\nAnswer: 13*w - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141 * -15.\nAnswer: -2115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + c**3 + 4*c)*(c + 2*c - c) + 3*c**4 + 6*c**3 - 6*c**3 + 5143*c + 3*c**4 - 5143*c + 4*c**3 to d + k*c**4 + w*c + b*c**2 + v*c**3 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -286*v**3 - 7*v**2 - 16*v - 6. Does 7 divide l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231 - -246. Suppose -25 = -5*q - n. Solve q*r = -r + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 34.3. Let s = d - -37. What is the third biggest value in s, 0.4, -2\/11, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/18)\/((-4)\/72). Let c(l) = l**2 + 2*l - 2. Let i(s) = 2*s**2 + 4*s - 5. What is j*c(p) - 4*i(p)?\nAnswer: p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 233, 229, 223, 215, 205, 193, 179?\n\"Answer: -v**2 - v + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12882 + -12562. Solve -u = -9*g - 31*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171\/(-6612)*(-24)\/(-9)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 495.007096 + -0.037096. Let u = s + -490. Let c = u + 0.03. What is the second smallest value in -1\/3, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 116*f**3 - f*l + 92*l wrt f.\nAnswer: 348*f**2 - l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 62, 92, 123, 0, 5 in increasing order.\nAnswer: -5, 0, 5, 62, 92, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(2\/3))\/(27\/(-18))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10880000 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2126*c**5 + 1133*c**3 + 55*c + 4587981 wrt c?\nAnswer: -42520*c**3 + 6798*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*q = 5*i - 18, -5*q = -4*i + 27. Let p(l) = -3*l**3 + 3 + 0*l**3 + l**i. Is p(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 13. Let m = -12 + v. Suppose 3*r = 4*w + 31, -m*r = -5 - 5. Put w, -2, 5 in descending order.\nAnswer: 5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2263782*u + 129 - 5*u**3 + 2*u**2 + 0*u**2 + 2263782*u to d + t*u**2 + p*u**3 + o*u and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20595 + 20597. Solve -3*a = -w*c + 19, -c + 2 + 9 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 + (2 - (-171)\/18). Let t = 1.2 + -0.2. What is the closest to 0.1 in -4, t, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 421*g + 4057. What is the remainder when 1920 is divided by i(-10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*g - 2*v, 5*v - 15 = -5*g + 4*v. Let y(o) = o - 7. Give y(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24473074*2\nAnswer: -48946148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**5\/15 - a**4\/12 + a**3\/3 + 110*a**2. Let p be l(0). Solve 2*w = -s - p, 4*w + 0*s = s - 16 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 31. Let j = 4 + f. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6518 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 445 + -584. Do u and -138 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 5, 1 in decreasing order.\nAnswer: 5, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10540\/2720)\/(1364\/(-440))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/13? (a) 0.3 (b) 5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2. Let j(y) = -y**3 + 20*y**2 - 69*y + 72. Let x(d) = 5*g(d) - j(d). Let m(v) = -2*v**3 + v**2 - v. Let f(t) = m(t) + x(t). Factor f(r).\nAnswer: -(r - 2)**2*(r + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from llllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 = -3*c. Let s be (-6 + 3)*(c - 8\/(-4)). Suppose -5*k - 11 = -5*v - s*k, -2*v - 3*k - 6 = 0. Solve -v*z = -0*z + 6, -a = -4*z - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -1\/40*h**5 - 3\/280*h**7 + 1\/32*h**6 + 0*h**4 + 0 + h**2 + 0*h + 0*h**3. Determine z so that s(z) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k + 4*k - 2*k + (0 + 2 - 1)*(-4*k - 8*k + 2*k) + (-2*k - 2 + 2)*(4 - 3 - 2).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57193*z + 56503*z - 56580 = 0 for z.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 7 + 47 = 0. Solve -2*d - 13 = 5*t, -i*t - 3*t + 5*d = -15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 3:17 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4 = -7*f + 9*f, 5*f = 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**4\/12 + 21*t**2\/2 + 7*t - 9. Let h(b) be the first derivative of 4*b**3\/3 - 5. What is c(h(x))?\nAnswer: -16*x**4 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -297003 divided by -1\nAnswer: 297003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 684, 3149, 7404, 13449, 21284, 30909, 42324?\nAnswer: 55529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7805 - 7803. Sort w, -5, 5, 4, -74.\nAnswer: -74, -5, w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 3. Let p be (4\/(-14))\/((-13)\/273). Give c(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*a + 278*a + 313*a - 1078*a + 323*a + 302*a.\nAnswer: 386*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 71*z**9\/36 + 19*z**5\/60 + z**4\/8 + 99*z**2. Find the third derivative of h(a) wrt a.\nAnswer: 119280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/4)\/((-4)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11504068 = 34512206\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 + 109*h - 777. Give x(7).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 6*h - 2. Let v be h\/3 - (-18)\/(-27). Suppose -2*t + 8 = -v. Solve 7*q = t*q - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 25 (c) 0 (d) -5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-1 - -2) + -1 + (-68 - -57))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 36 - (-1 + (-5)\/5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 plus 65720.3?\nAnswer: 65706.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1.204 (b) 27 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*j - 56 = 0, -3*b - 3*j + 21 + 21 = 0. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 396\/(-1100)*5\/(-6) + 43\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*l + 35155 + 67471, v = -4*l + 51308. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -776772*o - 776777*o + 2330342*o - 776777*o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-22)\/(-99)*(-2)\/((-4)\/19)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106218 and 432.\nAnswer: 849744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, h: 4}. What is prob of sequence hhgg?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/334 and -75\/14.\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -375 - -378. Let t = 14.4 - 0.4. Which is smaller: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2312 (base 9) in base 16?\nAnswer: -6b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -38. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 3*z - 3*z)*(-9 + 16 + 36 + 1) as n + t*z and give t.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**3 - 2*q**2 - 403*q - 406. Determine b(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8*12\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 6*o**2 - 6*o + 5. Let l be k(5). Let i be ((-10)\/3)\/(2\/(-3)). Suppose i*f - 1 - 69 = l. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**4\/3 - 394*y**3 + 2356*y**2\/3 = 0.\nAnswer: 0, 2, 589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51*h*t**2*v*y + 15*h*t**2*y + 2*t**2*v*y - 48*t**2 - 18*t*v*y - 11*t*y wrt h?\nAnswer: -51*t**2*v*y + 15*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -55*z + 12. Give i(-2).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/48480 and 7\/16665.\nAnswer: 533280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85412546.\nAnswer: 2, 151, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1)*v)\/(v**(1\/7)\/v*v)*v**(-2)\/((v**2*v)\/v)*(v**(-1\/4)*v*v*v**1)\/((v*v*v**(-5))\/((v**(-3\/2)\/v*v)\/v)) assuming v is positive.\nAnswer: v**(59\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 538358781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.027, 83.5, -1\/4, -0.1 in decreasing order.\nAnswer: 83.5, 0.027, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.7462553 and -5?\nAnswer: 6.7462553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4587.484 days in hours?\nAnswer: 110099.616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/112*(-1736)\/(-2604).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: cc0db1 (base 14) to base 6\nAnswer: 404133503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k + k - 5*k + 0 + k + 0 + (25 + 9 - 9)*(k - k - 3*k).\nAnswer: -75*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (1 - 2 - 4). Let j(k) = 0 - l*k + 4 + 3. Is j(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -978 by -326.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.84094 + 1.9415. Let k = 62 + -61.1. Let h = j + k. What is h rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -102*g + 7. Let n(i) = -115*i + 8. Determine 6*b(h) - 5*n(h).\nAnswer: -37*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 14*h + 4. Let c(l) = -28*l - 6. Determine 3*c(o) + 5*m(o).\nAnswer: -14*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 148 and 4070.\nAnswer: 8140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, e: 4, l: 2, h: 5, c: 1}. What is prob of picking 1 c, 1 v, and 1 l?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - 3ae?\nAnswer: -3a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 + 53. Let b = 0.4 + -1. What is the nearest to -1 in 2, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189579773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 50580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-26)*((v*(v*v\/v**(1\/2)*v)\/v*v)\/v)**(-2\/5)*v**(1\/3)*v*(v*v**(-2)*v)\/v*(v*v\/((v\/v**(-1))\/v))**30 assuming v is positive.\nAnswer: v**(166\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 929 + 0 + 3\/(6\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.17 + -0.53. Let i = y + 0.7. Suppose -3*d = 2*g + 2, -d = 4*d - 5*g + 45. Which is the smallest value? (a) d (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -504*a**3 + 2*a**2 + 3*a + 72. Is z(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**5 + 15*t**4 - 12*t**3 - 48*t**2 + 96*t - 48 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4\/6 + 1 - (-4109376)\/576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -11130?\nAnswer: -11134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1306 (b) 5\/3 (c) 2298\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -59725*w - 120223. What is l(-2)?\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3))\/((-4)\/48). Factor -t**2 + 3*t + 3*t - t - w*t.\nAnswer: -t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2280 divided by 5.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 5*t - 32. Determine p(-6).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -228*g - 840 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68440*k*t*z**2 - 1783371*k*z**3 - 8*t*z**3 with respect to t.\nAnswer: -68440*k*z**2 - 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -368, -364, -358, -350, -340, -328?\n\"Answer: z**2 + z - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 70 = -g. Suppose 5*u = -5*c + 1445, 4*c + u - 4*u - 1177 = 0. What is the remainder when c\/12 - 2\/(-3) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2 - 130*d - 46248 = 0. What is d?\nAnswer: -123, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 6*d**2 + 28*d - 3. Let q(m) = m**2 - 9*m + 10. Let x be q(4). What are the prime factors of s(x)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -8*u + 2*u + 10*u - 6*u. Let a(y) = -2*y**2. Give a(w(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -288 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1204 by 86.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1092 - 2182 + a + 1029.\nAnswer: a - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 22) + -9 - (8 - -10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 11*n - a - 79, -5 = 5*a. Put 4, 5, n in decreasing order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.05 (c) -1953 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14311*b**3 + 17 + 4*b + 12 + 14336*b**3 wrt b?\nAnswer: 75*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {a: 2, e: 17}.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/301 and 33\/73358.\nAnswer: 513506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 9:29 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7634\/49 + -74\/49. Which is bigger: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i + i - 2*i**2 - i**2 + 2*i**2 + 3. Determine d(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/(15\/(-90))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.32298997 rounded to one decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqiqqiiqiiiiqqqqiiiq. What is prob of picking 4 q?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 + 12*t**2 - 10*t**2 - 2*t**2 - 7*t**2.\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.3 - 5. Let q = g + -0.3. Let y = -0.2 + q. Which is the closest to -0.1? (a) y (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 340 and 8557205?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1263.338 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = j + 9, 1738*j - 1743*j = -30. Solve -5*m - 7 = -4*a, -5*m - 60*a - l = -65*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 9*t**2\/2 + 2. Let n(p) = 3*p. What is r(n(z))?\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/36*1\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5186 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1438, -1380, -1322?\n\"Answer: 58*s - 1496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 113139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 8*j - 8700000. What is j rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**2 - 953035*w + 32408970 = 0.\nAnswer: -190641, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256556674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 291611 and 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41994 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -249 + 267. Let r(g) = g + 6. Let k be r(-8). Which is the fourth biggest value? (a) s (b) 2 (c) k (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231) + sqrt(231)*2 + sqrt(231))\/sqrt(7) + sqrt(33))\/(sqrt(176)*1).\nAnswer: 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**3 + 105*x**2 - 190*x = 0.\nAnswer: 0, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*z = 14, t + z - 25 = -2*t. Let q be (t\/(-54)*2)\/((-7)\/(-6)). Which is the closest to 1? (a) q (b) -1 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 9) in base 3?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + -4 + (7 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/3*57\/(-5776))\/(73\/(-4) - -17).\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164657, 164638, 164597, 164522, 164401?\nAnswer: 164222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - 4*f + 6. Let m(t) = 1. Let n = 22 - 16. Let h(c) = n*m(c) - b(c). What is the second derivative of h(y) wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 11155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 37122, 148493, 334120, 594009, 928166, 1336597?\n\"Answer: x**3 + 37122*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k + 2. Let h = -220 - -231. Let w(n) = 16*n + 11. Let i(s) = h*a(s) - 2*w(s). Let x(j) = -2*j**2 + j**2 - 10*j**2. Determine x(i(p)).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/316 and -67\/20.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 692754356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 24 = 2*p, -2 = -p + 9*t - 13*t. Calculate the greatest common factor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (6 - -13) + -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4010 - 3902. What is the highest common divisor of u and 486?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.154 + -2.981. What is the biggest value in 1, z, -1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -0.04?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -218046 - -219172.49. Let j = i - 1132. Round j to 1 dp.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**4\/8 - s**3\/3 - 4*s**2. Let d(p) = p**2 + p - 1. Let f(k) = 2*d(k) - h(k). What is the second derivative of f(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -568, -4594, -15528, -36826, -71944, -124338, -197464, -294778?\n\"Answer: -576*a**3 + 2*a**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 10:53 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1591213 by -567.\nAnswer: -1591213\/567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.011\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*d = -3*d - 1150 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, -1, 190\/81?\nAnswer: 190\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 213.\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.256644us to seconds.\nAnswer: 0.000009256644","meta":{"dup_signals":{},"source":"measurement__conversion_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: Let i(m) = -99*m**2 - 15764*m - 3688. Give i(-159).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -474 + 490. Calculate the highest common divisor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 73904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4802 + 2\/9*q**2 - 196\/3*q = 0.\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 60, 92, 98, 78, 32, -40, -138?\n\"Answer: -13*c**2 + 71*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -480 - -480. Solve g = -d + 5*v - 27, 15 = 5*d + 6*v - v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 less than 9.574458?\nAnswer: 167.574458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**2\/2 + 7*z - 3. Suppose 0 = 3*v - 20 + 2. What is l(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1343216, 1343242, 1343264, 1343282, 1343296, 1343306, 1343312?\nAnswer: 1343314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -4*y - d - 20, 12 = -3*d. Suppose 0 = -2*l - y*c - 16, -l + 4*c = -13 - 9. Suppose l*w = 47 - 11. What is the remainder when w is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7 - 3 - 90*i - 97*i. What is the units digit of n(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by -207016\nAnswer: -51\/207016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20922082 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5\/5 + 246*s**4\/5 + 25299*s**3\/5 + 105452*s**2 - 1131396*s\/5 + 578592\/5 = 0.\nAnswer: -42, 1, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229 = 103*v - 492 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -28*w**2 - 5*w + 23. Let i(j) = 14*j**2 + 3*j - 12. Let o(u) = 5*i(u) + 3*v(u). What is the derivative of o(x) wrt x?\nAnswer: -28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013818872 to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 12. Let r = -7 + o. Suppose 0*j + 74 = r*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22185016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -0.4. Let i = -10 + 4. Let g be 3\/(4 + (i - 0)). Which is the nearest to 0.1? (a) 1\/6 (b) x (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11865315 + 2*s**3 + 11865315 - 515*s**2.\nAnswer: 2*s**3 - 515*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 5208598.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 52 = 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1\/25 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417 + 3574 = 11*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211212200002 (base 3) to base 15.\nAnswer: 8d63b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -14. Let f = 4 + y. Solve -l + 2 = -f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-26)\/9 + 3). Let n = q + 9. Suppose n = -2*r - o + 6, o = 4*r - 3*r. What is the lowest common multiple of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 158, 833, 2340, 4991, 9098, 14973, 22928?\n\"Answer: 52*j**3 + 104*j**2 - j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 8:30 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 - (-3 + 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6*x + 3*v = -4, 4*v = 0. Let b = x + -1. Let i = 5 + b. Solve -i*h + 4*h - 4*d + 1 = 0, -2*d = 2*h - 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 4.4. Suppose 3*i + 7 = -2*n, -2*i = -3*n - 2 + 11. Sort i, r, 0 in descending order.\nAnswer: 0, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 6*g + 1. Let i be m(4). Let x(r) be the first derivative of r**4\/4 + 7*r**3\/3 + 3*r**2\/2 + 10*r + 6744. Determine x(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 338308618 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -7. Suppose 0 = -3*g - t*g + 9. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -679126 times -1.8?\nAnswer: 1222426.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 6:01 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2790041 is divided by 464.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 452473834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - ((1 - 2) + -8). Let w(k) = -k**3 + 8*k**2 - 7*k - 7. Let q be w(6). Let d = q - h. Solve -4*l + d = -5*s - 12, -l - 2*s + 3 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 57051, 114022, 171013, 228024, 285055, 342106?\n\"Answer: 10*p**2 + 56941*p + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -230223255?\nAnswer: 230223252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -27020618 divided by -6?\nAnswer: 13510309\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p**2 - p)*(-31 + 17 + 12 - 10*p) - p + p**3 - p**3 + 10 + 3*p**3.\nAnswer: 13*p**3 + 2*p**2 - p + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1291706*s**4 + 11*s**2 + 6365*s - 1 wrt s?\nAnswer: -31000944*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110011 (base 3) in base 9?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by ((-1)\/((-6)\/(-8)))\/(476\/(-2142)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -157*q - 187*q + 462*q - 236 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281231 is divided by 496?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 6. Let x be 10\/((-2)\/(-4)*-4)*-1. Let y be u(x). Let n = 25 + -15. Calculate the greatest common divisor of y and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 + 0*f**2 + f**3 + (3*f**3 + 217*f**3 + 35*f**3)*(1 + 2 - 4).\nAnswer: -254*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81193 + 81193. Factor 0*f**3 + 2\/19*f - 2\/19*f**5 + 4\/19*f**2 - 4\/19*f**4 + h.\nAnswer: -2*f*(f - 1)*(f + 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 636, 636, 642, 660, 696, 756?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2555, -2599, -2679, -2807, -2995, -3255?\nAnswer: -3599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1243033 - 41819.856\nAnswer: -41819.9803033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + t + 8 = 0, -g + 5*t = 2*g - 12. Let f(m) = 4*m**2 + 4*m + 5. Let p be f(g). Let u = -59 + p. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.71479 centuries to months.\nAnswer: 9257.748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 20\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13526 or -270537\/20?\nAnswer: -13526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 669582967 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 89200 < 89194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*o - 18280 = -6*k, -3680 = -k - 4*o. What are the prime factors of k?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4679, -4676, -4673, -4670, -4667, -4664?\nAnswer: -4661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2344442 (base 7) in base 14?\nAnswer: -7a2c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l - 6*l**2 + 3*l - 3*l. Let q(n) = -5*n**2 - 4*n. Let i = -43 - -38. Let g(z) = i*q(z) + 4*c(z). Let j(u) = -u. Give j(g(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*b + 260*b - 776*b + 257*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 15 = 0, -3*s - n - 4*n = 6. Let o = -488\/723 - -2\/241. What is the nearest to s in o, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-35)\/(-84)*-4*-9*9. Let b = -129 + k. Solve b = 3*y - 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = -4*p - 102, 0 = -k - 4*p + 18. Calculate the highest common divisor of 75 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -904 - -1270. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -709, 2\/9, -0.2, 3\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-146)\/65 + 280\/(-1820))*(-110)\/6. Suppose -73 = -4*j - 29. Calculate the highest common divisor of j and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = 0, 4*k + 0*a - 2*a - 90 = 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6521 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2564820 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s + 21. Let b be q(-8). Let d be -10*1*2\/(-4). Suppose d*g = 3*p - b, -4*p - g + 76 = -5*g. What is the highest common factor of p and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10*m + 498. Determine t(-44).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 34289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30430 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-24) - 11\/(-4). What is the second smallest value in -4, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from zezzezyzzzzzzezzzeez.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - 82?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 2*r. Let x(s) = -s**3 + 3*s**2 + 4*s - 4. Let q be x(4). Give d(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14596, -25875, -37154, -48433, -59712?\n\"Answer: -11279*s - 3317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864290.\nAnswer: 2, 5, 7, 12347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(4)*3)\/((sqrt(567) - 2*sqrt(567)) + sqrt(7)) + 3.\nAnswer: -3*sqrt(2)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*k - 64, -3*o - 5 = -k - 53. Let t = o - 6. Solve v + t = -2*c, 0 = -2*v + v - 5*c - 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 5. Let v be n(-6). Suppose -3*m = -2 - v. Does 10 divide m\/((-2)\/10*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-5))\/((-5)\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q - 4. Let k be g(2). Let b(a) = 5 - 1 + 49*a - 52*a + k. Let i(t) = t - 1. Calculate b(y) + 5*i(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + 54 + -68 + 112.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3678 + 3678 + 252*r - 66*r - 103*r - 89*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*y - 2475. Suppose -5*z - 2*t = t - 591, 4*z - 5*t = y. Calculate the greatest common divisor of 15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*c - 39*c + 45*c - 768 = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23117890 and 43830.\nAnswer: 4870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b5 + -6?\nAnswer: -4bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = h + 2729, -186*t + 4*h = -182*t - 2720. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/(-33) + -1*4\/6. Suppose -5 = -5*i - 0. Solve p = -5*j + 14 + i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 7:40 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 34646 (base 12) to base 9\nAnswer: 116060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -11 + 6 + -11 + 35 + -13.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -271 + 299. Calculate the highest common factor of b and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 288 = -5*w, 34 - 336 = l - 2*w. Let s = 579 + l. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 7*y**5\/20 + 2*y**4\/3 + y**3\/3 + 5*y + 8. Find the third derivative of i(j) wrt j.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + -5)*2\/(-4). Let d(x) = 5 - 5 + h - x. Let u(z) = 4. Let o(m) = -1. Let r(t) = -9*o(t) - 2*u(t). Determine -d(p) - r(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + ((sqrt(108) + sqrt(108)*-3)*-2)**2.\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 47*c + 6 + 13 - 46*c. Let d be o(-13). Solve -d*w + 3*w = -15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 518 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/9461 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.225396 milligrams?\nAnswer: 5225.396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.4 (c) 5 (d) 30\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 + 10210?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/49, -3\/4, 2 in decreasing order.\nAnswer: 2, 2\/49, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 1 + 2*r + 13*r**2 - 9*r**2.\nAnswer: 4*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6754 = -2*o, -6*b + 3377 = -5*b + 5*o. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**2 + 24749*y + 1438806 = 0.\nAnswer: -58, 24807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 + 284*q**2\/3 + 17089*q\/3 + 35350.\nAnswer: (q + 7)*(q + 75)*(q + 202)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) - (-1*sqrt(224) + sqrt(224))*-5) + (sqrt(224) - (sqrt(224)*2 + sqrt(224) + sqrt(224))*-3))\/(-2*sqrt(392) - (-2*sqrt(1152) - sqrt(1152))).\nAnswer: 14*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42333*n*q*z**4 + 73*n*q*z + 54*n*z**2 + 2*q*z**4 - 2*q*z**2 + 4*q wrt z.\nAnswer: 1015992*n*q*z + 48*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -2 - (-21 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.155525 plus -3?\nAnswer: -3.155525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 540 + -535. Which is the fourth smallest value? (a) v (b) 0.1 (c) -1\/6 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a + 8*a - 2108*a**2 - 3459*a**2.\nAnswer: -5567*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 22, 63, 138, 259, 438, 687, 1018?\nAnswer: 1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 657 + -11. Calculate the highest common divisor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2104.3 + 1348.3. Which is the second smallest value? (a) p (b) -1\/3 (c) -0.1 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7030 or -4?\nAnswer: -7030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 141057.166 to the nearest 100.\nAnswer: 141100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*j = 0, -2*j + 0*j + 10 = 0. Let r = -35 - -35. Which is the nearest to r? (a) n (b) -5\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 - 0\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -37.6797*0.078\nAnswer: -2.9390166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 47293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-3)*((-4)\/154)\/(-118 + 117).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -4*b - 378*d + 377*d, 68 = -9*b - 4*d - 44 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -16*v. Let y(w) be the third derivative of 0*w**3 + 0*w**4 + 10*w + 1\/10*w**5 + 0 - 2*w**2. Determine y(t(m)).\nAnswer: 1536*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4*c + c. Let w(t) = -13*t + 244. What is the hundreds digit of w(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -2278640.\nAnswer: 1\/455728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 253 and 473?\nAnswer: 10879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 8*h**2 - h + 6. Let s be -4*(-7)\/(-28)*-8. What is c(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216416195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -433*b**3*d**5 + 2*b**3*d - 27*b*d**2 + 115*b*d - 24*d**5 wrt d.\nAnswer: -25980*b**3*d**2 - 1440*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -626, -2273, -5092, -9083, -14246, -20581?\nAnswer: -28088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of r**4 + 437165*r**3 - 4117335?\nAnswer: 4*r**3 + 1311495*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 - 15. Suppose -m = -4*g - 8 + r, -g - 2*m = -3. Solve g*t + 12 = 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8850313\/23730 + -44011\/113. Let u = 236\/15 + a. Let x = 247723\/46 - 5385. Find the common denominator of u and x.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -421897, -421805, -421547, -421039, -420197?\nAnswer: -418937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(19)*2 - sqrt(19))**2 - sqrt(19)) + -3).\nAnswer: -4*sqrt(19) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k + 22284 = -13*k. Let y = -142 + k. List the prime factors of y.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(((-35)\/15)\/(-7)). Let l be u\/77 - (-104)\/14. Solve -l = i + 6*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132478324?\nAnswer: 2, 11, 3010871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117*g*l**3*p - g*l**2*p**2 + 10*g*l*p**3 - g + 15*l**3*p**3 - 4*l*p**3 + 3*p**2 wrt p.\nAnswer: 60*g*l + 90*l**3 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 9*x - 5. Let c be h(-8). Suppose -c = f - 15. Suppose 0*j + 5*j = 115. Calculate the remainder when j is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 0*j**2 + 7\/15*j**6 - 29\/12*j**4 - 8*j + 0*j**3 + 0*j**5 + 0. What is the third derivative of g(k) wrt k?\nAnswer: 336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 15 = 0, 40 = 7*d - 2*d - 3*b. Let y be 2\/4*(5 - d). Suppose z - 5*l - 64 + 16 = y, -4*z + 2*l + 120 = 0. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -11*n + 10. Factor 6*b**n + 6*b - 4*b - 3*b**4 - 3*b**2 - 2*b.\nAnswer: -3*b**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - z - 2 = 0, i + 0*i + z - 12 = 0. What is the remainder when 21 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-5))\/((-276)\/(-345)))\/((-27)\/(-66))?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-575260)\/(-19845) + 9\/729.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -452901 divided by 150967?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1 = 9. Let x(v) be the third derivative of -v**6\/24 + v**5\/60 - v**4\/24 + 3*v**2. Let t be x(1). Sort 0, g, t in increasing order.\nAnswer: t, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 50, 230, 542, 992, 1586, 2330, 3230?\n\"Answer: j**3 + 60*j**2 - 7*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7123.7263+-3\nAnswer: -7126.7263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11814276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 156440 or 156439?\nAnswer: 156440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24 + 3\/((-1)\/(-1)). Let l be 6\/27 + 1290\/a. Suppose 0 = 5*w - l - 37. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 97.46 (c) -0.5 (d) 1433\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-78)*(-24)\/112*106\/(-106).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvvnrijvttjjj. Give prob of picking 1 t and 1 i.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10149*g + 10143*g - 202 = -j, -2*g - 5*j - 78 = 0 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 2*i - 2. Let s(h) = 2*h**3 - h**2 + 1. Let y(f) = f - 10. Let c be y(9). Let j be s(c). What are the prime factors of m(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/7 - 24*w + 6935\/7.\nAnswer: (w - 95)*(w - 73)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29820\/(-84)*10\/55*44\/40.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -3855, -4, 3, 5 in decreasing order.\nAnswer: 5, 3, -1, -4, -6, -3855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 748*j - 743*j + 40, -3*j + 81 = -3*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 87980 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -121*i + 97.\nAnswer: -121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 155510145?\nAnswer: 155510150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/238216 and -83\/714648?\nAnswer: 714648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.4, 11, -2\/17, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(9 + (-754)\/84). Let z(g) = -g**3 - 19*g**2 + 30*g + 51. What is the hundreds digit of z(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3335 - -881. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = 5*w - 26, 3*u + w - 62 = 0. What is the remainder when 36 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23889089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243452.\nAnswer: 2, 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -265 - -265. Which is bigger: i or 3\/1726?\nAnswer: 3\/1726","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14215 divided by -5.\nAnswer: -2843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + y**2 + y**2)*(-41 + 16*y**2 - 2*y**2 + 42) - 4*y - y**4 + 4*y.\nAnswer: 41*y**4 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160956 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, 2777 in decreasing order.\nAnswer: 2777, 5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 63*n**3 + n**2 - 1. Let h(g) = g**3 + 5*g**2 + g + 9. What is the lowest common multiple of f(1) and h(-4)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 13. Let n(x) = -97. Let j(g) = 15*b(g) + 2*n(g). Let o(c) = c + 18. What is 18*j(k) - 2*o(k)?\nAnswer: -2*k - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -294, -290, -284, -276, -266, -254?\n\"Answer: h**2 + h - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*x)*(-152 - 120 - 1029) + 6*x - 4*x - 3*x as w*x + v and give w.\nAnswer: 2601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002170680459 to six decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-29)\/(-6) - (-5)\/30. Suppose j = 0, a*g + 20 = j - 30. Let y be (-19)\/15 - g\/15. Sort 0.4, -1\/3, y in descending order.\nAnswer: 0.4, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6*p = -93. Suppose -49 = -3*d + 83. Let l = d - p. What is the greatest common factor of 39 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 - -0.68. Let f = w + 4.22. Let z = -827\/8 + 103. Which is the biggest value? (a) 0.5 (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-18)*18\/12. Which is the closest to 2\/5? (a) -0.5 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4480)\/(-21)*75\/(-2). Let m(g) = g**3 - g**2 - g - 10. Let a be m(0). Let u be l*((-125)\/a + 0). Round u to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/1691 and 81\/38.\nAnswer: 3382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5 + 4*v**4 + 4*v**3 - 16*v**2.\nAnswer: -v**2*(v - 4)*(v - 2)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - -0.02. Let i = w + -2. Let r = -0.6623 - 4.3377. Which is the closest to i? (a) -2 (b) r (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 4*r**2 + 5*r - 11. What are the prime factors of w(-7)?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10072170 is divided by 217.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h + 33. Let g be o(16). Let z be (2\/12)\/(2\/15). Is g less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 599*l**3*o**3 + 8*l**3*v + l**3 - 80*l**2*o - 5140*o**3*v**2 + 2*o**3*v wrt v.\nAnswer: 8*l**3 - 10280*o**3*v + 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 5247*u**4\/4 - 20*u**3\/3 - 56*u - 5822. Find the third derivative of j(t) wrt t.\nAnswer: 31482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 - -0.56. Let r = -0.9 + o. What is the closest to -0.2 in 6, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/8, -65\/4, -0.6, -0.2, 4.\nAnswer: -65\/4, -0.6, -0.2, 5\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1162 - -120?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 256, -2.7, 2, 3, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1576874788 to the nearest integer?\nAnswer: 39710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -43263602*n**5\/15 - 225015380*n**4\/3 + 2373693374*n**3\/15 - 1199109704*n**2\/15 - 2078368*n\/5 - 2688\/5 = 0.\nAnswer: -28, -12\/4651, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19996?\nAnswer: 2, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10841*n*w**5 - 97*n*w + 9*n - 2*w wrt w.\nAnswer: -216820*n*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 46. Let k = -3 - i. Calculate the common denominator of -1*(-2)\/k*23 and 10\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 884*a - 21*a + 4121*a**2 - 4110*a**2.\nAnswer: 11*a**2 + 863*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -163 + 653\/4. Which is the second biggest value? (a) 0 (b) t (c) -2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 10*f**2 + f - 1. Let u be m(1). Let l(w) = 2*w + u + 2*w + 5 - 5*w. What is l(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -334 - -4?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**8\/4320 - a**7\/630 + a**6\/270 + a**5\/20 - 3*a**2. Let m(r) be the third derivative of x(r). Find p, given that m(p) = 0.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrlh when four letters picked without replacement from {h: 4, k: 1, r: 4, l: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 2:28 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159250306 + -229285777. Let y = w - -42935471. Round y to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 11 = 1. Let m be (-1)\/(k\/(-1*21)). Solve -3*s**3 + 2*s**2 + 11*s**3 - m*s**3 = 0 for s.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/6)\/(3\/(-18)). Calculate the remainder when u\/(-8) + (-17)\/(-4) is divided by (2\/4)\/((-1)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2551 + -2299. Are x and -21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (60\/(-24))\/(2\/(-4)). Suppose -3*l + 26 = -2*l + 5*b, -w*l - 2*b = -199. Suppose -126 = -2*u - 2*p, l + 28 = u - p. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 g when four letters picked without replacement from gmmmmgbgbgbmmmmgg?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u + 3*u + (3 - 3 - 2*u)*(0 + 0 + 1) - u + u + 3*u)*(-5*u**2 + 2*u**2 + u**2).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -186*q + 370*q - 182*q. Let l(o) = o. Let v(a) = -3*l(a) + 2*z(a). Let g(y) = 7*y**2. Give v(g(f)).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -912303 - -912321.000004. Let b = r + -18. Round b to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272 divided by -68.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/5)\/((f\/(f*(f**(1\/12)\/f)\/f))\/f))\/(f**(-3))**(1\/8))**(-10\/3) assuming f is positive.\nAnswer: f**(137\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*h**3 - 3665 + 3665 - 15*h**3.\nAnswer: 39*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 9 = f. Suppose -2*z + 4*s = 16, 7 = 3*z + s + 3. Solve z = -h - 3*h - l + f, -l = -3*h + 19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.5 + 6.7. Let w = m + 11. What is the closest to 1\/5 in w, -2, 0.03?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16\/33, 5, -7214, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -144486725 divided by -28897345\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 452 + 1216 = 2*n, 0 = w + 2. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + sqrt(1088) + 0)**2*-5 - (sqrt(1088) + -2 + -1 + sqrt(1088)).\nAnswer: -21757 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -o - 11, d + d + o - 7 = 0. Suppose -d*j + 846 = -207. What are the prime factors of j\/21 + 4\/14?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89423\/378 + 1674\/7. What is the common denominator of p and -155\/66?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u. Let z(a) = 20*a - 3. What is b(z(o))?\nAnswer: -80*o + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**2. Let b(a) = -108*a**2. What is b(t(h))?\nAnswer: -1728*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -665 + -4451224?\nAnswer: -4452222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (-2 - (47 + -109))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 13, p: 3, e: 3}?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -3011061934?\nAnswer: -3011061934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 8, q: 10}. Give prob of sequence rd.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.8 - 2. Let g = v - 37.8. Does 8.5 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1051992, 2103988, 3155984, 4207980, 5259976?\nAnswer: 6311972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64257054 and 20.\nAnswer: 642570540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-4*z + 5*z - 2*z) - z - z + 4*z + 0*z - 4*z + 0*z - 6 - 2*z + 6.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 - 154*s - 582. What is n(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**5 - 381*x**4 - 401*x**3 - x**2 - 677333.\nAnswer: 120*x**2 - 9144*x - 2406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -470 - -900. Let y = 435 - a. Let t(k) = -k**3 + 5*k**2 + 2*k - 7. What is t(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-12))\/((r*r*r\/(r**(-10)\/r))\/r)*r*r\/(r**(3\/14)*r)*r**(3\/11) assuming r is positive.\nAnswer: r**(163\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 332*t**5 + t**4 - 2*t**3 - 17*t**2 - 250 wrt t?\nAnswer: 19920*t**2 + 24*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -8*h**4 + 18*h**3 - 12*h**2 + 2*h = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 351 + -203. What is the remainder when g is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 343*h**4*k + h**4 + h**3 - 8*k - 103 wrt h.\nAnswer: 1372*h**3*k + 4*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (18 - 7 - 16)) + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) 57 (c) -0.01 (d) 2\/9 (e) 29\/9 (f) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1157 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.4 - -17. Which is the nearest to -6? (a) u (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -107*z**5 + 2*z**4 + 30*z**3 + 1156*z. Let j(s) = s**5 - 5*s**3. Let l(m) = -a(m) - 6*j(m). What is the second derivative of l(n) wrt n?\nAnswer: 2020*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1164 - 606. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**3 - 5*p**2 + 6*p - 6. Let v(c) = -c**3 + 1 - 3*c**2 + 4*c**2 + 66*c - 67*c. Suppose 0 - 4 = 2*b. Give b*r(x) - 10*v(x).\nAnswer: 2*x**3 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 193603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -3\/4 (c) -5 (d) -8832.04 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u - 1. Let m be l(-1). Let f be ((-2)\/(-4))\/(m\/(-4)). Let o = -27066 - -27069. Put f, -0.4, o in decreasing order.\nAnswer: o, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2. Let v(o) = 35*o**3 - o**2 + 4*o + 2. Let w(k) = 4*b(k) - v(k). Let x be w(-1). Suppose -x*h = -36*h + 1742. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, k: 4, a: 2}. Give prob of picking 2 m and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13046 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/25 - 27\/5. Let r(v) = v + 8*v**2 + 4*v + v + 4. Let x(c) = -7*c**2 - 6*c - 4. Let g(i) = b*r(i) - 6*x(i). Let g(d) = 0. What is d?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 g when three letters picked without replacement from {g: 2, u: 4, p: 6, k: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -1\/6*j**3 + 1\/120*j**6 - 5*j**2 - 1\/6*j**5 + 1\/6*j**4 + 0 + 0*j. List the prime factors of t(10).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -1) + (3 - 85 - -3). Let j = n - -80. Solve 2*b = -6 - 2, 4*b = -j*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/48 and 113\/108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2123789.\nAnswer: 47, 73, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g = -61 - 83. Let n(t) = -3*t**3 + t**2 - 3*t + 3. Let o(r) = 2*r**3 - 2*r**2 + 4*r - 4. What is g*n(p) - 3*o(p)?\nAnswer: 6*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 35006 = -2*v, -8*t = -13*t - 5*v + 43760. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5 + 559*h**4 + 283921*h**3 - 158896387*h**2 - 283920*h + 158895828 = 0.\nAnswer: -533, -1, 1, 546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 49620\/(-19848)*(0 - (-2 + 0)). Suppose -4*b + 0*b - 20 = -2*j, -4*b - 28 = 2*j. Let h(g) = -g**3 - 7*g**2 - 5*g + 2. Let y be h(b). Sort z, y, 1.\nAnswer: z, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from stsdstssssstststss?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b*b)\/b**(-15) assuming b is positive.\nAnswer: b**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - f**2 - 2. Let y be i(2). What is the remainder when (-8764)\/(-56) - y\/(8\/(-2)) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4\/7)*o**(-12))\/(o**(2\/7)*(o*o*o*o**(-26\/9)\/o*o)\/o))**31 assuming o is positive.\nAnswer: o**(-23374\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 100*m - 1. What is the thousands digit of d(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) 0.01 (b) 2\/19 (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1640 + 3258 - 1561 + 6*d**2)*(3*d**2 - 2*d**2 - 4*d**2).\nAnswer: -18*d**4 - 171*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -17*h**2 + 9*h - 9. Let i(q) = -2*q**2 - 2*q + 4. Let b be i(-4). Let v be -24*(3 + 45\/b). Let l(j) = -4*j**2 + 2*j - 2. Give v*l(c) + 4*k(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6787 - 6668. Let v = 112.826 + -0.576. Let h = v - a. What is h rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -5 (c) -7 (d) 2 (e) -0.02 (f) -5648\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*f + 20991 - 20964 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -14*o - 42, 214*l - 212*l - 56 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3393.729 kilometers to meters.\nAnswer: 3393729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxhppvpvrxrhhxrx. What is prob of picking 3 p and 1 v?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4752 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 438007 at most as big as 438008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/14)\/(5\/10) - 7920\/(-1232). Sort -12\/7, 0.2, p, -11 in descending order.\nAnswer: p, 0.2, -12\/7, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1674*o**2 - 10 + 0*o + 3*o + 1686*o**2. Let u be z(2). Calculate the greatest common factor of 33 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1899 and 342?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/3126634 and -101\/10719888?\nAnswer: 75039216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 17567709.\nAnswer: -1756770.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 11*v**2 - 15*v + 8. Let m(w) = -1367*w**2. Determine z(m(t)).\nAnswer: 20555579*t**4 + 20505*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 51\/5 - (-4)\/(-20). Suppose 0 = -v + 4*w - 1, 4*w + m = 5*v - w. Let f(s) = -7*s**3 + s**2 - 1. What is the remainder when f(-1) is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 12, 46\/217, 0.17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 5, 6 in descending order.\nAnswer: 6, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4))**(8\/5)\/(i\/i**(5\/3)*i\/(i\/(i**(-4)*i)))*((i\/(i\/(i\/(i*i**(-2\/5)\/i))))\/i)**24\/(i*i\/(i**0\/i))**25 assuming i is positive.\nAnswer: i**(-184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -25. Let j(d) = d**3 - 8*d**2 + 6*d + 1. Let n(o) = o**3 + 6*o**2 - 2*o - 4. Let m be n(-6). What is the remainder when j(m) is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 289211 - 139668. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/67280 and -51\/42050.\nAnswer: 336400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 3:54 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -692.71 (b) -7 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.361026 millennia to months.\nAnswer: 28332.312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1978 and 39146?\nAnswer: 1683278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144084 is divided by 310.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-236)\/12*-3 - 9\/3. Calculate the common denominator of (357\/j)\/((-6)\/(-8)) and -93\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1359*l - 365. What is the units digit of j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1222*v + 23. Let j be p(-2). Let q = -1728 - j. Is q a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1906 divide 123809822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.4, 2.44, -4.59, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + 7. Solve 4*b = 20, 5*a = 2*a + 4*b - q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 4. Let b be -1 - (o - 2)\/2. Let l = -3 + 8. Solve b*q = l*q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -60 (b) 0.23 (c) 1.6 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 1 - 1\/(-2). Let b be (-57)\/((-142956)\/88) - (-262)\/114. Put o, -3, 5, b in increasing order.\nAnswer: -3, o, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 664, 0.1, -2\/11, -0.092, 4, 3 in descending order.\nAnswer: 664, 4, 3, 0.1, -0.092, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/56687 or -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -24960048 divided by 6240012\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 + 2*b - 1. Let n be k(1). Suppose -16*w - 36 = 53*w - 519. What is the remainder when (-67)\/(-5) + n\/(-10) is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1255*r**4 + 5*r**3 + 5*r**2 + 5*r + 1333. Let j(z) = -627*z**4 + 3*z**3 + 3*z**2 + 3*z + 666. Let d(f) = -5*j(f) + 3*o(f). Differentiate d(t) wrt t.\nAnswer: -2520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 5. Let n = -3 - k. What is the closest to n in -2, 5, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*t + 18. Let c(l) = 11 - t*l - 11 - l. Let s(w) = 3*w**2. Give c(s(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**3 - 11*c + 2. Let n(j) = 7*j**3 + 36 - 3*j**3 + 12*j - 10 - 4 - 25. Calculate -3*b(g) - 2*n(g).\nAnswer: g**3 + 9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192192 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -19*s**2 - 18*s**2 - 5*s**2 + 29*s**2. Let t(a) = -5*a**2. Determine t(w(j)).\nAnswer: -845*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.402591 rounded to zero dps?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 18*d - 2580 = 0. Is ((-10065)\/(-7) - -1) + d\/903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 31355?\nAnswer: 31404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.41 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 38*u + 13 - 5 - 97 to i*u + r and give i.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 129285408?\nAnswer: 387856224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -7*r**2 + 11\/3*r**4 + 53\/3*r**3 - 53\/3*r + 10\/3 = 0.\nAnswer: -5, -1, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -23*f - 10 + 8*f + 3 - 35*f**3 + 17*f**2 - 2 + 34*f**3. Give a(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 430 and 172?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/87 and 11\/12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 35*m - 1058. Let j be n(31). Let z = 0 + -1. Let v(d) = -d - 1. Let g be v(z). Solve -5*q - 2*w = g, 2*q - 3*q = -5*w + j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 2)*(-2)\/(-1). Suppose -30 = -5*a - 411*f + 416*f, 2*a = -2*f. Solve a*k + 2*y + 16 = 0, 3*k = -k - i*y - 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6862086ug to grams.\nAnswer: 0.0000006862086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 22*t - 112. Let f(g) = 7*g - 37. Let a(c) = -7*f(c) + 2*x(c). Let y be a(7). Solve -5*k - 5 = -y*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2961 by 9.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -4*x**3\/3 + x**2 - 9. What is the second derivative of l(z) wrt z?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96320566 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v + 2. Let l be d(-5). Let x = 26 - l. Calculate the greatest common divisor of 96 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20709 + 20715. Calculate the remainder when 941 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176224086 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = -13*d. Suppose z = -d*z. Is 2 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -6. Find the second derivative of 3 + g + t*g**2 + g - 3 wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 - -4.1. Let p = 1819\/115 + -350\/23. What is the nearest to -2 in g, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/13))**(-31)\/(v**(-2\/49)\/(v\/(v\/(v*(v\/v**(-25))\/v)))) assuming v is positive.\nAnswer: v**(10512\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7))**(-2\/5)*u*u*u*u\/(u**15*u)*u*u*u**(-1\/7) assuming u is positive.\nAnswer: u**(-359\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010 (base 2) to base 15.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 201*l + 0*l**2 + 53 - 217\/3*l**3. Find the first derivative of s(x) wrt x.\nAnswer: -434*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*(sqrt(1872)*-2*-3 + sqrt(1872)) + ((sqrt(1872) - (sqrt(1872) - sqrt(1872)*1) - sqrt(1872)) + 2 - sqrt(1872)) + -1*(1 + sqrt(1872)))**2 + -2 + -5.\nAnswer: -864*sqrt(13) + 606525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**2 + 161*k - 888. Calculate m(6).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -3)\/(-3) + (-26)\/(-3). Suppose -2*w = -3*r + 1284, -2*w - w - b = 0. What is v in -r*v**4 + 216*v**4 + 5*v**3 + 215*v**4 - 5*v - 5*v**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*-3*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 32*p**2 - 7*p - 28. Determine t(6).\nAnswer: 1082","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*d**4 - 8*d**3 + 14*d**2 - 504*d + 25 wrt d.\nAnswer: -528*d**2 - 48*d + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 137 = 3*f, 0 = -z - 0*z - 2*f + 138. Let a = z + -29. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v = -25*v - 2*i - 17502, 4*v - 3*i - 17507 = 0. List the prime factors of v.\nAnswer: 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*t - 3, 4*b = t + 18. Let k(s) = s**3 - 6*s**2 + 6*s + 10. Let m be k(b). Solve -1 = y + m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2395576, 2395514, 2395410, 2395264, 2395076?\n\"Answer: -21*u**2 + u + 2395596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.59 * -7.\nAnswer: -4.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 122*d + 4. Let j(l) = 25*l + 1. Calculate -5*j(w) + r(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, -3\/7811, -3, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/5 (b) 33 (c) 4\/89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*m - 8 = -86*m. Let v(y) be the third derivative of 0*y**m + 0 + 0*y + 1\/20*y**5 + 1\/3*y**3 + y**2. Find the first derivative of v(q) wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 6*f**2 + 2*f - 7. Let o be k(6). Let x = -0.39 - 0.11. Which is the closest to 1\/3? (a) 1\/3 (b) x (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b567 + 3?\nAnswer: b56a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87.18795 + -0.00205. Let p = -198.6 + 285.6. Let m = p + w. Round m to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.465*-0.4.\nAnswer: -0.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - x. Let v = x + 2. What is the third derivative of -4*m**5 - 4*m**5 + 5*m**5 + m**2 + 2*m**v wrt m?\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -10 + 4 + 1 - -22 and 238.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14474483 - 3?\nAnswer: -14474486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-3488319.\nAnswer: -13953276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1056 + -13?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.6050782 micrometers?\nAnswer: 0.00006050782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**8\/112 - h**7\/10 + 19*h**6\/40 - 5*h**5\/4 + 2*h**4 - 2*h**3 - 2*h**2. Factor c(m).\nAnswer: 3*(m - 2)**2*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4, 0*j - 3*j = -5*v + 704. What are the prime factors of v?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*y - 17, 5*p + 2*y = 6*y - 19. Let x be (-4)\/12 - 10\/p. Calculate the highest common divisor of x and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 269507409 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4912?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1501*p**2. Let y(b) = 4*b. Calculate y(u(n)).\nAnswer: 6004*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggp when four letters picked without replacement from {g: 6, p: 1, i: 4, o: 2, w: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Suppose -j - 26 = -p*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 717, 0.2, 0, -64?\nAnswer: 717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 0*z**5 + 1\/60*z**6 + 0*z + 0*z**4 + 0 - 2\/105*z**7 - 4*z**2 + 1\/168*z**8 + 0*z**3. Find c, given that u(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48338937 divided by 81.\nAnswer: -596777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a. Let o(c) be the third derivative of -c**4\/12 - 7*c**3\/6 + 29*c**2 + c. Calculate p(o(l)).\nAnswer: 6*l + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 14) to base 12\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7551.155ml to litres.\nAnswer: 7.551155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 2\/(-2))\/((-1)\/6). Differentiate -44*m - 20 + 11*m**3 + a*m - 60 wrt m.\nAnswer: 33*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8335 is divided by 370?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -867*p = -871*p - 2*z + 16, 2*z = 3*p + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -8*n + 11. Suppose 3145 = n*y - 0*y + p, 4*y + 2*p = 3142. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.2, -0.52, -0.11, 10375?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -2) + 2 + 1. Suppose -s*i + 5*f + 23 = -i, 23 = 5*i - f. Factor 9*h**2 + 2*h**i - 4*h**3 - h**2 - 6*h**2.\nAnswer: 2*h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i**2 + 7*i - 1. Let q(j) = -j**2 - 2*j. Calculate -g(s) - 4*q(s).\nAnswer: 13*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 13*x - 99 = 6*x, -2*s + 7 + 5 = -4*x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*v - 6*v + 4*c, -5*c = 0. Let o(f) = -f**2 - 4*f. Let p be o(v). Solve -p*x - 4 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 6 = -0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -75, -34, 11, 66, 137?\n\"Answer: s**3 - 4*s**2 + 46*s - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -760544\/3254097 - 2\/42261. Let r = -1073\/308 - m. What is the common denominator of r and 73\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9.57 (b) 2\/3 (c) 17229.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0*j**5 - 31*j + 45\/2*j**2 + 43\/30*j**6 + 0*j**4 + 0*j**3 + 0. Differentiate i(l) wrt l.\nAnswer: 172*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5882.\nAnswer: 2, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1150*q**3*v**3 + 14*q**3 + 4*q**2*v**2 - 8*v wrt v?\nAnswer: -6900*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/33827703?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7768085 is divided by 2974?\nAnswer: 2971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594943149.\nAnswer: 3, 29, 1291, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x - 1. Calculate q(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - sqrt(175)*1*-3)**2 + (sqrt(7) + (sqrt(7) - sqrt(28)*2))**2 + -5.\nAnswer: 2823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11173 is divided by 2786.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-153) + 92610\/3570?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - (-47 - -45).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43867.\nAnswer: 43867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 396, -14097, 9, 0 in descending order.\nAnswer: 396, 9, 3, 0, -14097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 7:38 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c = -18*c - 198. Let i = -25 + 46. What is the remainder when i is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (23 + -17 + 5) - -10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3\/4 + 112281*y**2\/2 - 673743*y\/4 - 1122855\/2 = 0. Calculate y.\nAnswer: -74857, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*j + 36 = -j, -2*j + 71 = -5*b. Let i be ((-38)\/19)\/(2\/(-12)). Let d = b + i. What is the second smallest value in -5\/4, d, -3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 68068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -370 - -374. Let -9\/5*d**i + 6\/5*d**3 + 8\/5*d**2 - 6\/5*d + 1\/5 = 0. Calculate d.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*x - 178*x + 2 = 0. Let k(v) = v**2 - v - 3. Determine k(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 13 = -7. Let y be (-2)\/((-28)\/(-4) - z). Which is the nearest to -2\/7? (a) y (b) -2\/5 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196 divided by -49\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3711, -14939, -33653, -59853, -93539, -134711, -183369?\n\"Answer: -3743*j**2 + j + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/1 - (-23 + 29))*-22. Which is bigger: m or 2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8040208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/((27\/(-2))\/(-3)). Suppose 3*x - 2*z = -4, -3*x - 1 = -z - j. Solve x*w - 4*v - 22 = 0, -3*w + 7*w = -v - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59*i - 22 + 22)*(2*i**2 - 4 + 4)*(2*i - 4*i + 0*i) to j*i**3 + a*i**4 + p*i + z*i**2 + o and give a.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 2*g - 192 - 13 = 25*y, -2*y - 16 = 3*g for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 676139 to the power of 1\/2, to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-92)\/(-8) + -11 - 10\/(-4). Sort 5, h, -41 in decreasing order.\nAnswer: 5, h, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3.539, 0.8, -1, -35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (1 + 4)\/(-10 - -11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/66 and -61\/5698.\nAnswer: 17094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(0*n - n + 0*n) - 2012*n - 3845*n + 1844*n.\nAnswer: -4015*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 91 + 2*p**2 + 19*p - 31*p + 80*p. List the prime factors of u(-39).\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.953881 rounded to two dps?\nAnswer: 28.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6033, -19656, -33279, -46902?\nAnswer: -60525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 11:47 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 130818915?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = 2*q, -5*g + 17 = 2. Solve v + q*v - 4*j + 10 = 0, -j - 4 = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/7 + 1035858*w\/7 + 89416816347\/7.\nAnswer: 3*(w + 172643)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -15*a**5 + 6535*a**4 - 10860*a**3 + 4340*a**2 = 0.\nAnswer: 0, 2\/3, 1, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158 + 221. What is the remainder when d is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/(3\/9). Suppose 38*p = 105*p - 1407. What is the remainder when (81\/h)\/((-1)\/2) is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -14*v**3 - 2*v - 1. Suppose 4*m + 6 = 2. List the prime factors of i(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 49, -3, 15 in decreasing order.\nAnswer: 49, 15, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 8:46 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2. Let l(c) = 1187 + 12*c - 1187. Give a(l(y)).\nAnswer: 144*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114795 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*z**3 + 2*z**3 + 2*z**3 + 4 + z**2 + z**4 to the form l*z**2 + h*z + m*z**4 + j + w*z**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -10. Let o be (w - (3 - -1)) + 0. Let x(n) = n**3 - 4*n**2 + 4*n + 1. Let g be x(3). Put g, o, -3 in decreasing order.\nAnswer: g, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23667*l**2 - 21395*l wrt l.\nAnswer: 47334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-3))\/a*a)\/(a*a\/(a*a**(-2\/15)*a*a*a*a*a)))\/((a\/a**(-3\/5))\/(a\/((a*a**(2\/7))\/a))) assuming a is positive.\nAnswer: a**(103\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 664.4562 milliseconds to minutes.\nAnswer: 0.01107427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -239 + 45. Let n be z\/4*4\/(-2). Suppose -19 = 2*t - n. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 1 + 12*a + 11 - 6*a**2 + 9*a**2 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3766827680 to the power of 1\/2, to the nearest integer?\nAnswer: 61374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 9:25 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10149 + -10148.51053. What is x rounded to 3 dps?\nAnswer: 0.489","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7302*w + 4681*w + 3845*w + (-2*w + 0 + 0)*(3 - 3 - 2) to the form i*w + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -1. Suppose 8 - 20 = -4*q. Put j, q, -3 in increasing order.\nAnswer: -3, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*y + 5 = -62*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-6*1 + 1). Suppose -262 = -2*i - d, 5*i = f*i + 3*d + 278. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1381, -1378, -1375, -1372, -1369?\n\"Answer: 3*f - 1384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 + 0*y**5 + 2*y**5 + (-3*y**5 - 5*y**5 + 2*y**5)*(-2 - 1 + 5) + (4*y**5 + 4 - 4)*(5 - 2 - 1).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -5, -128, 1 in decreasing order.\nAnswer: 5, 1, -1, -5, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 53451 divided by -470\nAnswer: -53451\/470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in years?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Let u(g) = -g**3 - 26*g**2 + 58*g + 58. Let a be u(-28). Does 5 divide a\/w*2*15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2301 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5580168 and 0.0425902.\nAnswer: -5580167.9574098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/319788 and -89\/972.\nAnswer: 319788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**3 - 41*z**2. Let w be (-2)\/1 + 15 + -216 + 207. Let g(n) = n**3. Give w*g(o) - h(o).\nAnswer: -o**3 + 41*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 - 76. Let b = 14 - 11. Suppose b*w = 2*x + 20, w = 3*x + x + h. Is 6 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(2 + sqrt(272))*-5*3)**2.\nAnswer: 230400*sqrt(17) + 3974400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 119, 1\/7, 6, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 5*o - o + 2*o + 5 - 5 + (o - 3*o + 3*o)*(2 - 1 + 0) - 2*o + 3*o + o + 2 - 2*o - 2 - 4*o + 12*o - 6*o)*(-3 + 7 + 1)*(-4 - 2 + 4).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*u + 2, 0*r + r + 25 = -5*u. Let y(i) = -7*i**3 + 5*i**2 + 1. Is y(u) 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 39294 and 32930.\nAnswer: 17485830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 40*v - 28815 = 0. What are the prime factors of v?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + 5*k**2 + 7*k + 3. Let v(t) = 4*t**3 - 9*t**2 - 15*t - 7. Let x(j) = 10*r(j) + 6*v(j). Factor x(o).\nAnswer: 4*(o - 3)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 12, r: 1}. Give prob of sequence jjjr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7\/4 + -39\/20. Let y = 23229 + -23231. Which is the third biggest value? (a) h (b) 0.01 (c) y (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28032 and 257982?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -8, -5 in decreasing order.\nAnswer: 1, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11811, 11889, 11969, 12051, 12135, 12221?\nAnswer: 12309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 5*j + 3. Let s be y(5). Suppose -2*v + 10 = -4*d + 3*d, v = -s*d + 12. Suppose -2*i - v = -3*i. Solve -4 = -5*u + i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**2 - 14*i + 7*i**2 - 2*i - 7 + 19 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 5. Let m be c(-3). Suppose 4 = -2*v + 6. Is 1*(-598)\/m - v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2\/(-150)*5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13, -1038410 in descending order.\nAnswer: 0, -13, -1038410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2 = -5*r, r - 7 = -3*l - 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 596, 43, -3\/8, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-17)\/(-6) - (-5 - -11). Is x less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 - 32 - -11 - -3?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 969170 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 554478497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j - 31. Let h be p(5). Solve -3*n + 2*k - 13 = 0, -7 = h*n - 2*k + 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -209*a + 42. Let u(q) = 70*q - 14. Let m(c) = 17*u(c) + 6*x(c). List the prime factors of m(-3).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.2, -2013, -190, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + -21. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gugcggggccgclcllguc. What is prob of sequence gcll?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 7:02 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3132 - 3139.934. Let p = q + -0.066. Which is greater: -0.2 or p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0124 - 0.0455. Let i = -0.05789737 - c. What is i rounded to seven dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-15)*(-14 - -9). Factor 0 + 1\/3*b**4 - 1\/3*b**3 - t*b**2 + 0*b.\nAnswer: b**2*(b - 2)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48040104*a*u**2 + 306*a*u + 28*a + 35*u - 4 wrt u?\nAnswer: -96080208*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 5*z - 95, 66 + 33 = 4*p - z. Let t(u) = 17*u**2 + 680*u + 20. Let s be t(-40). Calculate the greatest common divisor of p and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286698.6 - -3.4.\nAnswer: -286695.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b + 56. Let t(h) = -h**3 - 20*h**2 - 98*h - 2490. What is the remainder when (b\/(-4))\/((-2)\/(-20)) is divided by t(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 2*n**2 + 5*n + 4. Let p be y(-4). Solve 0 = -2*g + 2*t + 14 - 0, -2*g + p = -3*t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*x + 14936 - 3553 = -2811 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3442?\nAnswer: 2, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2 - 8 = 5*s, 4*d = 2*s + 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19148717.\nAnswer: 7, 43, 63617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 10) in base 8?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 8. Let j be i(10). Suppose 2*p + 3*l + 2*l + 5 = 0, -13 = -5*p - 4*l. Suppose 5*h = 4*h - p*f + 17, 5*h - 7 = f. Solve h*w = -j*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 10 + -6 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 37*c - 1. Let m(n) = -9*n. Calculate s(m(t)).\nAnswer: -333*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*(-1*-2*(-5 + sqrt(891)) + -5)*5)**2.\nAnswer: -1894500 + 270000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 594.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 360145406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, l: 6, j: 4}. Give prob of picking 1 w and 1 j.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 27*o + 60. Let a be o - 2780002 - (-4)\/((-20)\/5). What is a rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(5\/2)*x**(-10)*x*x*x**(-3\/8)*x assuming x is positive.\nAnswer: x**(-39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 4:26 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 175 = 11*y. Calculate the lowest common multiple of 2 and y.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f + 27*f - 345 + 1177 = 0 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111783\/10 - -11167. Suppose -4*k + 711 = -649. Let l = k + -1708\/5. What is the common denominator of l and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4392648387.\nAnswer: 3, 54230227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p + 2. Let f be i(11). Suppose 8*n - 13*n + f = 0. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {j: 4, a: 15}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 v, and 1 e when three letters picked without replacement from vteveb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 243951643 to the power of 1\/3, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 246945470 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 2*u + 5. Let k be g(3). Suppose -6*b + 26 - k = 0. Let v = 5 + 4. Is b <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.8.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 197843 and 73960?\nAnswer: 7913720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 8:35 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - 0) + 0 + 28 + -7 - -21?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -16 + 9 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-320707)\/(-17) + (-6)\/18*(-30)\/(-85). Calculate the greatest common factor of r and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -427203*m**6 + 71*m**2 - 201938*m.\nAnswer: -51264360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3 + 69632*s**2 + 1212084221*s - 2424446978 = 0. What is s?\nAnswer: -34817, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4251735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18085, -36230, -54375, -72520, -90665, -108810?\n\"Answer: -18145*i + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**5\/10 + 29*m**3\/3 + 622*m**2. Let z(h) = h**2. Give q(z(t)).\nAnswer: -6*t**4 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**4\/18 + 4*j**3\/3 - 12*j**2 - j. Factor a(y).\nAnswer: -2*(y - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 18 = 241. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 6:38 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5 + 67*p**4 + 1330*p**3 + 6900*p**2 + 9000*p = 0. What is p?\nAnswer: -30, -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 362\/(-543)*(-69)\/(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10211 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m - 67. List the prime factors of a(-40).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = m + 2*o, -4*m = -2*o + 12 + 12. Let g be m\/18*6*-3. Let s be 4\/g - 94\/(-4). Calculate the highest common factor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449033.6 years in months?\nAnswer: 5388403.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -364 - -604. What is the greatest common factor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 + 388*d + 2685. Let f be w(-7). What is the highest common factor of f and 8375?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2112063, 2112064, 2112065, 2112066, 2112067?\n\"Answer: u + 2112062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6 = c. Let w be 4 + c + 48\/(-22). Put 4, w, -1\/2 in increasing order.\nAnswer: -1\/2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201200 divided by 3.\nAnswer: -201200\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-49)*f)**(2\/23) assuming f is positive.\nAnswer: f**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.52? (a) -4 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166350432?\nAnswer: 2, 3, 1732817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -h + 94*p - 91*p, -2*h = p - 19. Let z(v) be the second derivative of v**3\/3 - 13*v**2\/2 + v. What is the units digit of z(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 17*m - 59, 55*c - 39*c + 51 = -m + 13 - 34 + 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**4\/24 + 11*o**3\/6 - 7*o**2. Let c be j(-9). Solve -c*g = 2*g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.774995 millennia in years?\nAnswer: 8774.995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170792 and 1184.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55234287 and 2034?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-560)\/(-72)*(50\/(-125))\/2\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 807.2076 months?\nAnswer: 0.672673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6491490 and 9.\nAnswer: -58423410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155309282 - 52709282. Suppose 5*x = 14*x - v. What is x rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (2*sqrt(242) - sqrt(2)))**2 - (sqrt(2) - -2*(sqrt(2) + -1)).\nAnswer: -3*sqrt(2) + 802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**6\/345 - o**5\/230 - o**4\/138 + o**3\/69 + 11*o. Factor g(j).\nAnswer: 2*j*(j - 1)**2*(j + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, j: 1, r: 2}. What is prob of sequence irr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 21 = o + o, -2*o = -2*g + 18. Solve 0*l - 2*l - 3*j = g, 3*l + 21 = -5*j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/4 (b) 2\/3 (c) -207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + 2 + -39 - (3425 + -3416)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 716089 - 26555*j**2 - 716089 + 2*j.\nAnswer: -26555*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -5 = -0.024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = r - 71. Let c = 66 - r. Let g(z) = 2*z - 3*z + 5*z - c*z. Let v(u) = -4*u**2. Give g(v(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2864539.\nAnswer: 2864539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1240 divided by 5\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 14792?\nAnswer: -1\/3698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + (sqrt(77)*-2 + sqrt(77) - sqrt(77)) + sqrt(77))*3)\/(3*sqrt(176)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -422 + 414. Sort k, 28, 0, -3 in decreasing order.\nAnswer: 28, 0, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-8))\/4*4\/(-4)*200\/4\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 6. Suppose r*k + 375 = 3*u, 3*u = 4*k - 0*k + 297. Let b be (-8)\/(-52) - (-38)\/k. What is the third biggest value in b, 0.2, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -1\/60*i**6 + 1\/30*i**5 + 0*i**3 + 1\/24*i**4 + i**2 + 0 - 25*i. Give w(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -245 + -2622612?\nAnswer: -2622857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 484\/(-1694) + (-2910)\/7. Let b be 10 + 2 + -2 + 0. Calculate the lowest common multiple of r\/(-65) - (14\/b + -1) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(153)*-1 + 1 - (-2*sqrt(153)*4 + sqrt(153))))**2*3 + -1.\nAnswer: 16523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 184882318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(1\/7)\/x*x*x))\/x*x**(-2))\/((x**(-1\/2)*x*x*x*x)\/x*x\/(x\/(x\/(x\/(x**2\/x))))) assuming x is positive.\nAnswer: x**(-107\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -199?\nAnswer: 8\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -2108334*i**3 + 4*i**2 - 27*i. Let g be v(2). What is g rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/325, 4227\/2?\nAnswer: 4227\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -693 (b) 1\/2 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 51\/2 - 2\/(-4). Suppose 3*m = q + 1. Let x(n) = 45*n**3 + n**2 - n. Let b be x(1). Calculate the highest common factor of m and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12871?\nAnswer: 61, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = k - 7*k. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 * 280896\nAnswer: -4213440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**3 - 3*k**2 - 7*k - 1. Let u be z(-3). Let y = u - -188. Suppose -5*l = -67 - y. What is l rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1*h*h**(-4)*h)\/(h**(1\/5)*h**6))\/(h*h**2*h*(((h\/(h**(1\/6)*h))\/h)\/h*h)\/h*(h**(-1\/2))**9) assuming h is positive.\nAnswer: h**(-68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r = -28*r - 62. Which is the third smallest value? (a) -4 (b) 211 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4\/2 - 165*n**3\/2 - 3393*n**2\/2 - 30927*n\/2 - 52728.\nAnswer: -3*(n + 13)**3*(n + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 13) in base 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 8*x + 10. Let u be c(-7). Let k(p) = p**3 - 2*p**2 - 2*p + 1. What is k(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*o + 271, v - 11*o = -5*o + 81. What is the highest common factor of 1271 and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7002904?\nAnswer: 2, 875363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*x**3 + 2*x**2 - x - 28*x**3 - 23*x**3 to c*x + s*x**3 + o*x**2 + r and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 924 and 3843?\nAnswer: 169092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 796.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 14, j: 5}. What is prob of picking 1 d and 3 j?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15820, 128080, 432758, 1026064, 2004208?\nAnswer: 3463400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, o: 1, s: 3}. What is prob of picking 2 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k*x**2*y**3 + k*x**2*y + 2*k*x*y + 7*k*y**3 - 2*x**2 + 17*y wrt y?\nAnswer: -12*k*x**2*y + 42*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4994*p**3 - 2958*p**2.\nAnswer: -29964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/6 - (-8)\/12. Suppose 4*y - 16 = a*b + 36, -y - b = -7. Sort 5, 0, -3, y in descending order.\nAnswer: y, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11053.33 to the nearest 100.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -17. Suppose 0 = -3*o - 2*t + 50, -2*o - 6*t + x = -4*t. Suppose -29*n + 56 = -21*n. Calculate the remainder when o is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 1. Let q be x(0). Suppose -w - 17 = 3*w - 3*s, -4*w = 2*s + 2. Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 5*u**2 - 9*u + 7. Let z be r(6). Let k(f) = f + 2*f - 6*f + f - 1. List the prime factors of k(z).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 3*f**2 + 40482*f**3 - 5*f**2 - 40491*f**3.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 12:48 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*i**2*l*w - 394*i**2*w**2 + 11*i**2*w + i**2 - 2789*i*l*w**2 + 9*i*w - 2*l**2 + 4*w wrt l.\nAnswer: 20*i**2*w - 2789*i*w**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(0 + 5))\/(-1). Let n = 50 - 40. Solve k*r = -5*r + n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzpg when four letters picked without replacement from {t: 1, p: 2, z: 3, g: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2 - 2 + 10 - 8. Let w = 10 + -8. Let g(l) = -2*l**w + 6 - 6. Determine g(i(n)).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/16 + 231\/56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2733882549 less than -25.8?\nAnswer: -2733882574.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/167 + -3729\/2672. Calculate the common denominator of -121\/72 and g.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-35)*0\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10084, 10102, 10138, 10198, 10288, 10414, 10582, 10798?\nAnswer: 11068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7293.763 - 4608164.237. Let q = j - -4615377.99748. Let b = -80 - q. Round b to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -14?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, u: 4, w: 6}. What is prob of picking 2 u?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 10*c**2 + 85*c - 47. What is the units digit of p(-29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25, 52, 79, 106, 133, 160?\n\"Answer: 27*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-225)\/(-30)*2\/3. Suppose -4 = -7*j + x*j. Suppose j*n = -2*f + 24, -18 = -2*f + 2*n + 6. Solve 0 = -5*t + 4*h - 7, -7*h + 3*h + f = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06251 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659476993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*k = k, -4*k = -d + 9. Let r be ((-3 + 2)\/1)\/(-1). Let t = d + r. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 22223*f - 200010. Determine r(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -866273574*j**4*w**2 + 104*j*w**2 + j*w - 123*w**2 + w + 142 wrt j.\nAnswer: -10395282888*j**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**2 + 7*i - 5. Let r be a(2). Let f(z) = -3*z - 9. Let q(p) = 13*p + 37. Let s(b) = 9*f(b) + 2*q(b). Determine s(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w + 2. Suppose 30 = o + j, -o - 1 = -4*j - 16. What is the remainder when o is divided by l(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747 is divided by 62?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*p = -66*p - 68. Solve 0 = -2*c + 4*q, 5*q + 26 = -2*c - p*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 1 - 1)*(3*h**3 + 28 - 28)*(5 - 1 - 3) + (-h**3 - 2*h**3 + h**3)*(3*h + h - 2*h) to b*h**2 + m*h**4 + a + c*h**3 + v*h and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3, -0.22, -1\/17, 1\/22, 4\/5?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - 2403531165?\nAnswer: -2403531150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + u**2 + u - 8. Let b(j) = j**3 - j**2 - 1. Calculate 3*b(y) - x(y).\nAnswer: 2*y**3 - 4*y**2 - y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*h**2 + 21*h**2 - 66*h**2 to the form b + c*h**2 + a*h and give c.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287 - 3359 = -79*t - 802 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 56, 38, 18, -4, -28, -54, -82?\n\"Answer: -r**2 - 15*r + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 86*m**2 - 1. Let v(f) = -f. What is v(a(h))?\nAnswer: -86*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -130996.153 rounded to the nearest 1000?\nAnswer: -131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/184 + (-64)\/512.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 265*y + 4334 - 999 + 3765 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 214487 * 1.4\nAnswer: 300281.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 166222 divided by -83111\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 3*t - 2. Let y be (-25)\/5*14\/(-5). Let p = -9 + y. Suppose -p*v + 1 = -9. Determine c(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1258317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1642345200 to the nearest 1000000.\nAnswer: 1642000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 8*y**2 + 5*y - 4. Suppose 0 = 5*n - f - 12 - 8, 0 = -4*n - 5*f - 13. Let r be w(n). Suppose 3*j - 16 = r. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29, -55, -81?\n\"Answer: -26*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 117 = -11*r. Let w = 104 - 80. What is the smallest common multiple of r and w?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 5*o - 46. Let v be f(-11). Solve 23*b - v*b = 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 776, 2215, 4608, 7937, 12184?\nAnswer: 17331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, -5, -4, 1\/5, -303?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 27*f - 127. Let c be p(7). Solve 12*y + 1 = c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32885 = 1441*z + 5506 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 4:37 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2157047 is divided by 158.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036825599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 - 6 = 0, -33 = 4*f - 3*k. Let y be (-1 + 2)*-10 - 2. Let p = y - f. What is the closest to 1\/4 in -0.2, p, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/3017 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22a62 + -7e?\nAnswer: -22ae0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/5 + (-2124)\/120 + (-49)\/(-98). Does 3 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20\/3 + 6. Let w be 2\/(-13) + (-324)\/(-1937). Let x = w - -284\/1043. Is x at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4 = 0, 2*y - y + 2 = 2*u. Suppose -2*x = 3*d - x - 19, -2*d + 15 = 3*x. Let h = d - 4. What is the greatest common divisor of h and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 9*k + 8*k = 0, -3*j - 15 = 2*k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - -2) + 3230 + -3133?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 23*b**2 + 4*b + 2. Let r be a(-2). Suppose r + 18 = 4*p. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 20 = -2*h, 0 = -h - 5*y - 3 - 0. Solve -5*f = 5*m - 5, 2*m = -2*f + h*f - 26 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -24) + 1 + (3 - -6) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1. Let x = 1.3 - 6.3. What is the closest to d in x, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*m**4*r**3 - 20*m**4 + r**3 - 40*r**2 with respect to m.\nAnswer: 16*m**3*r**3 - 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-190)\/(-189) - 1)*(-3801237)\/(-11303). Let a = 1\/623 - n. Let o = -1267\/2 - -41711\/66. What is the common denominator of o and a?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + (-21)\/3)*834\/9. Let d = f + 1255. Suppose -4*b + 9*r - 4*r + 769 = 0, -r - d = -5*b. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 9*j + 12. Let s be 3 + (-2)\/(6\/(-21)). Let p be a(s). Suppose 3*r = p*r + 18. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 0. Let n = f + -1. Which is the biggest value? (a) -0.4 (b) n (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -4*h, 3*h + 10 = -2*m - 2. Let z = 7 + m. Suppose 4*k + 0*k + z*a = 1688, 2*k = -5*a + 853. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*a**2*y**2 + 7*a**2 + a*y**4 - 1 with respect to y.\nAnswer: -36*a**2*y + 4*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + 9*6*16\/54?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -72\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96442\/149 or -646?\nAnswer: -96442\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8730 + 8731. Let c(o) = -o - 1. Let x(r) = -r + 1. Let f(g) = -12*g - 9. Let m(b) = f(b) - 3*x(b). Determine l*m(j) - 12*c(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p + 4. Let v(w) = -9*w + 6. Let o be ((-14)\/8)\/((-8)\/32). Calculate o*j(l) - 5*v(l).\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -83 * 55836\nAnswer: -4634388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h**2*j**3 - 193*h**2*j**2 - 16*j**3 wrt j.\nAnswer: -48*h**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4458 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: Collect the terms in -57*v**2 + 108*v**2 - 55*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5*(-13)\/(-117)*3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + -1 - (-15 - (3 + -17)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -3. Which is the nearest to -1? (a) x (b) 2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.621826 to two dps.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*(-5 + sqrt(637)*-1 + sqrt(637)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7\/18 + -11\/63. Let t(q) be the first derivative of -1 - b*q**2 - 1\/7*q**3 + 3\/28*q**4 + 3\/7*q. Solve t(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**3*t**5*t**4*t\/((t\/(t\/(t\/(t\/t**(-6))*t))*t)\/t)*t*(t\/(t*t**(1\/4)))\/t*t*t**(-1\/6)*t**(-3\/11)\/t**(-2) assuming t is positive.\nAnswer: t**(2681\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -653779842282*d + 653779842282*d - 107*d**2 - 70*d**2.\nAnswer: -177*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52\/7*k + 48\/7 + 4\/7*k**2 = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 5*q**2\/2 + 24. Let f(b) = 5*b. Let j(s) = -11*s. Let v(z) = 10*f(z) + 4*j(z). What is i(v(c))?\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -2*h + 125 - 133, h - 4*y + 25 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -22. Suppose r + 110 = 5*k + h*r, -3*k + 4*r = -40. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18608741.\nAnswer: 2203, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47353 is divided by 7887.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 2*z**3 - 2*z**5 + 2*z**3)*(-4 - 4 + 6).\nAnswer: 4*z**5 - 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 smaller than 672\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-17))\/(24\/16)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 0 + 0)*(a**3 + 0*a**3 - 4*a**3) + (a - 2*a**3 - a)*(-1 + 1 - 2*a).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 53. Let s(a) = a**3 - 2*a + 31. Calculate the remainder when s(q) is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -628, -1296, -1962, -2626, -3288, -3948, -4606?\n\"Answer: w**2 - 671*w + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 1 + 587*x**4 - 9*x**3 + 147*x - 4698*x**4 + 9*x**3 wrt x.\nAnswer: -49332*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -207855, -208002, -208257, -208626, -209115?\n\"Answer: -t**3 - 48*t**2 + 4*t - 207810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 142*z + 3616. Give v(80).\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/713 in -2, -2\/11, -3\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, l: 1, x: 10}. Give prob of picking 4 n.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**4\/24 - 10*w. Factor q(b).\nAnswer: -b**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from {a: 1, j: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvh when three letters picked without replacement from {v: 3, x: 3, h: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3.124 - 45818\nAnswer: -45821.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2486, -4871, -7118, -9191, -11054, -12671, -14006, -15023?\n\"Answer: 6*d**3 + 33*d**2 - 2526*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**3 + 0*o**3 + 0*o**3)*(7 - 2 - 7) to the form c + t*o + p*o**2 + u*o**3 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 6*t**2 + 5*t - 7. Let y be z(8). Let k = 136 + y. Calculate the remainder when k is divided by (-22)\/4*6\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 1480*b - 30624.\nAnswer: -4*(b - 348)*(b - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/9, 0.0189, -1\/6, 1154?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63182363 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 214448 and 312.\nAnswer: 643344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 5*u**2 + 5*u + 2. Calculate c(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 1. Let w(o) = -2*o - 2868. Determine 5*u(t) + w(t).\nAnswer: 3*t - 2873","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2049999 and 15477?\nAnswer: 22549989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z**5 + 153590*z**4 + 215105*z**3 - 184350*z**2 = 0 for z.\nAnswer: -2, 0, 3\/5, 6145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-35) - ((-27)\/(-35))\/(3\/25)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 243 + -256.7. Let x = y + 13.699834. Round x to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1673.336 centuries?\nAnswer: 2008003.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -1. Let c(r) = -40*r - 2. Give -c(n) + 5*k(n).\nAnswer: 40*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-376)\/(-5) + 0 - (-6)\/(-30). Let c = -61 + n. Is 12 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.3 - -8. Let y = 154 - 150.7. Let o = y + v. What is the closest to o in 0.3, 3\/5, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/13 at most -0.0094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -4*g + 198. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 359*x. Let s(c) = -4 + 4 - 54*c + 0 + 55*c. Give s(k(f)).\nAnswer: 359*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from {c: 2, r: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 293*w + 3126. Let f be l(10). Suppose -12 = -2*y - y. Let u(t) = -t + 3. Let g be u(y). Which is smaller: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11447 is divided by 2860.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -357, -830, -1513, -2418, -3557, -4942, -6585?\nAnswer: -8498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 24 = -3*s, 0 = -0*s - s + 2. Let r(m) = -2*m - 8. Let a be r(i). Let y(f) = -f + 2. Calculate y(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 5*b. Suppose 6 = -b*s + s. What is the least common multiple of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 567 and 11907.\nAnswer: 11907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k + 3*k**2 + 4 - 6 - 27*k**3 + 1 - 3*k**2 to the form p*k**2 + a + g*k**3 + m*k and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 790*b - 792*b + 72 = 0. What is the lowest common multiple of 72 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -36, -92, -180, -306, -476, -696?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 6*r + 4 - 10)*(644 + 104*r + 253 + r**3 - 777) in the form i*r**3 + p + m*r**4 + t*r + u*r**2 and give p.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/5)*s*s**(-2\/17))\/((((s*s*s**(-1\/3))\/s)\/s)\/(s*s**(-7))) assuming s is positive.\nAnswer: s**(-1424\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -19*q**2 + 4*q + 42. Let o(f) = -7*f - 19. Give o(u(t)).\nAnswer: 133*t**2 - 28*t - 313","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-3)*w\/(w*(w*w**(-2\/3))\/w)*(w*w*w**(-2))**(-42) assuming w is positive.\nAnswer: w**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x - 29. Determine n(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -1 (b) -5 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 363 = b + 457, -5*m + 5*b = -840. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2658, 2665, 2672, 2679, 2686, 2693?\nAnswer: 2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 860\/(-860)*22\/8.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23291240117\/160615 - 67\/160615. Let r = w - 145418. Let z = 409 + r. Find the common denominator of -85\/6 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 - 73*c + 404. Calculate r(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(v - 3*v + 3*v) + 7*v - 26*v - 59*v + (-6 + 6 + 7*v)*(-1 - 4 + 3) to d + t*v and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, o: 1, x: 2, u: 1}. Give prob of sequence zzx.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**5\/6 - 1195*a**4\/3 + 1323073*a**3\/6 + 21669140*a**2 - 488608104*a = 0.\nAnswer: -101, 0, 19, 1236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 337002\/(-56167)*((-4)\/(-14) + (-1345)\/(-70)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 8*u + 18. Let v(i) = -1. Let m(j) = 22*v(j) - 2*y(j). What is the tens digit of m(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21667105*g**2 - 28758649*g?\nAnswer: 43334210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-1 - 1) - (1 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Suppose -120 = -0*k - h*k. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2) + (sqrt(24)\/(sqrt(108) + sqrt(12)))**2.\nAnswer: -15\/8 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**1)**(3\/2)\/((p**1\/p)\/(p\/p**8)))**(-1\/9))**(1\/6) assuming p is positive.\nAnswer: p**(11\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-121)\/66 - 5966\/228\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 136 = -4. Let c(p) = -6 + 0*p**3 - 8*p**2 - 3*p - p**3 + 0*p**3. Calculate the smallest common multiple of c(-8) and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h - 21*h = 92. Which is the second smallest value? (a) 3 (b) 60 (c) h (d) 2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -514583 and -5?\nAnswer: 514578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2 - 22. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -14 + 2\/((-2)\/(-3)). Let l = k - -20. Suppose l = 3*q - 0. Let v(y) = y**2 - 2*y + 1. Calculate v(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*d + 65*d - 84 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 3*c - 6*c + (3*c - 2*c + c)*(-3 + 0 + 5))*(-2 - 1 + 1 + (3 + 1 + 0)*(0 + 5 + 2)) + (-1 + 4 - 4)*(c + 1 - 1).\nAnswer: -53*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 425815 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = v - 6, 5*a - 43 = -2*v - 33 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 5*f + 0*f)*((-5 + 2 + 2)*(-f - 3 + 3) + 2*f - 2*f - 2*f + 3*f - 4*f + 3*f) - 32*f**2 + 157 - 157.\nAnswer: -31*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (3 - (73 + -4)). Let h = m + -64. Suppose 0*n = -n + 10. What is the remainder when n is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by (-15 - -5)*((-1 - 6) + -1 + 5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2925 divided by 585?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.2 (b) -1\/55 (c) 0.061\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljlb. Give prob of picking 1 l, 1 j, and 1 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4037566 and -0.6?\nAnswer: 2422539.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 346*d - 1302. Calculate the remainder when q(5) is divided by 110.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201499051.\nAnswer: 13, 41, 257, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*v = 0, -4*d = -2*v - 3*v. Suppose 5*p = n + 9, d = 5*n - 3*p + 1 - 0. Let j(q) = 18*q + 1. What is the tens digit of j(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -7. Suppose 3*d + b = 142. Calculate the remainder when d is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000018558 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1788 + 4251. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -34 (c) 0 (d) -1\/64 (e) -0.4 (f) -3\/7 (g) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*p, 4*t - 15 = 5*p + 10. Sort t, 8, -2 in ascending order.\nAnswer: -2, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-7) - 17\/(-7). Let x be 8*(0 - p\/(-4)). Solve -2*d - 2*f - 4 + 2 = 0, 4*d + x = 2*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (793*v - 1522*v - 1869*v)*(-2*v - v + 11*v) to the form l + t*v + g*v**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1178)\/(-228) - 13685\/138\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541687 is divided by 270840?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2264*v**3 - 1387*v**2 + 31936638*v wrt v?\nAnswer: -13584*v - 2774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m**2. Let o(y) = 11*y**2. Determine o(r(f)).\nAnswer: 275*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 337.507um?\nAnswer: 0.000000337507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-4 + (462\/(-11))\/(-7) + -27)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.048 - -0.048. What is the second smallest value in 66, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*x. Suppose x*p = p - 3. Suppose -p*f + 10 = 5*d - 36, -2*d + f + 14 = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 112?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2957056.\nAnswer: 2, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -0.2, -3\/5, -24, 3\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/28, 2\/9, -1, -0.4?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4910 + -3441. Let n(i) = -1469*i + a*i + 6*i**2 - i**2. Let w(d) be the first derivative of d**3 - 1. What is w(n(h))?\nAnswer: 75*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(t*t**(2\/7))*t**(-2))**23\/((t**(3\/5)\/(t**(2\/5)*t))\/(t**(-1\/7)*t**(-2))) assuming t is positive.\nAnswer: t**(-277\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 1941987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hshhhohsschoho. Give prob of picking 1 s and 1 o.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 197646176 and 1196.\nAnswer: 197646176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(99)\/(1*sqrt(225)).\nAnswer: sqrt(11)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13657 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 17 - 20)*(0*s + 3*s - 4*s).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**3 + 2*p**2 + 9*p - 3. Let v(g) = 6*g**3 + 3*g**2 + 19*g - 4. Calculate 5*s(f) - 3*v(f).\nAnswer: -3*f**3 + f**2 - 12*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -15. Suppose -6*i = -1 + 19. Let x be (i + 0)*l\/14. Is x > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 74023.\nAnswer: 814253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-7))\/((-6)\/42). Suppose 3*b - k*b - 11 = 0. Let n = b + -4. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-45)\/(-6) - 2\/4. Let c = 9 - t. Are 1 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1187602 is divided by 465.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2522)\/(-1067))\/(2*7\/77).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167092 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: Which is the biggest value? (a) -2 (b) -1\/5 (c) -3\/5 (d) 3\/149 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60947623*a**4 + 489*a**2 + 7*a + 110.\nAnswer: -1462742952*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 934*y - 87. Is u(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + (6 - 9) - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - 5*b**2 + 5*b**2 + 8*b**2 to the form f*b**2 + w*b + k and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/15 + 0 + (-14)\/35.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.331.\nAnswer: 0.0662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 856449671?\nAnswer: 7, 11, 11122723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10923851 rounded to the nearest one thousand?\nAnswer: -10924000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Let r(x) = -1 - 2 + 13*x + 0 + j. List the prime factors of r(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/27 - (-20)\/18. Let x be 3 + (9 - (-747)\/(-63)). What is the fourth biggest value in 0, 4, x, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 11 = -19. Let c(p) = 5*p**2 - 8*p - 4. Let x(a) = a**2. Let t(g) = c(g) - 6*x(g). Let k(r) = -2*r + 1 + 0*r + 3*r. Calculate v*k(m) - t(m).\nAnswer: m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 271261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 76. Let g = j + 83. Let i = g + -29. What is the remainder when 94 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 1:05 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8762 and 33.\nAnswer: 289146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697878028.\nAnswer: 2, 7, 11, 787513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/839?\nAnswer: 4\/839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50.7 - 45.7. Put -0.5, -0.1, 1\/8, j in descending order.\nAnswer: j, 1\/8, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a8dccd (base 15) to base 9\nAnswer: -16122334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**4\/10 + 3*q**3\/10 + 27*q**2 + 1498*q. Factor o(s).\nAnswer: -3*(s + 6)*(2*s - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/20*24\/1. Let o = c + 40. Factor -o*j**2 - 2\/5 + 4\/5*j.\nAnswer: -2*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from {u: 5, y: 5, b: 3, w: 1, z: 2}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -915 divided by -5650.\nAnswer: 183\/1130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-2)\/14)\/((-11)\/33)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 - -0.06. Let w = q - -1.97. Suppose -5*p + r + 3 = 0, -2*p - 2*p + 4*r - 4 = 0. Put w, p, -0.4 in increasing order.\nAnswer: -0.4, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220861 divided by 5\nAnswer: 220861\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.29 take away 560760.6?\nAnswer: -560759.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2282543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42.229 + -0.0092.\nAnswer: -42.2382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2811863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 1:14 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*h - 2 = 0, -14*u - 15808*h + 15812*h = 132 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/(sqrt(8)\/sqrt(4)))\/(-3*-1*sqrt(3)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37 and 5365.\nAnswer: 5365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.029 and -1.34.\nAnswer: 0.03886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6104 and 246008.\nAnswer: 26814872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15193434281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 543 (base 8) to base 10\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7478 + -15769. What is m rounded to the nearest 100?\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.75 - 0.95. Which is the nearest to -3? (a) -2\/7 (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from toabboaaotooajaoa.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4, 14, 6\/5 in decreasing order.\nAnswer: 14, 4, 6\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and -95.3?\nAnswer: 2096.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 39*z + 76. Let w be i(-41). Let p be 9\/12 - w\/24. Put 4, p, 2, -3 in ascending order.\nAnswer: -3, p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 10:08 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*r = -359*r. What is the nearest to r in -5, -4, -0.08, -24?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 44. Suppose -5*u = 2*h - 20 - 4, 3*h - 6 = 0. Suppose 0*j - u*l - b = -2*j, 0 = -4*j - l + 121. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s**4 - 6180*s**3 - 14454*s**2 - 10332*s - 2067 = 0 for s.\nAnswer: -1, -1\/3, 689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -335*h + 63569. Calculate r(193).\nAnswer: -1086","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1737474*0.3\nAnswer: -521242.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.11 (b) -0.3 (c) -6481\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - -104. Suppose 0 = -3*i - 2*i + j. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + 13?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c = 27*c. Suppose 3*a + 5*v - 610 = c, 7*a + 2*v + 396 = 9*a. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 459816 by 138.\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x = -2*q + 54, 0 = 5*x + 3*q - 66. Suppose 0*y + 3*y + 2*b = -9, -2*b = 5*y + x. Is (16\/(-4) - y)*-479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34561669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137398?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 3. What is the common denominator of (-134)\/20 + (o - 1) and (-4)\/(-6) + 1011\/(-180)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2 + 1. Let l = 15 - 7. Let r = 5 - l. Let y(g) = 6*g**2 + 1. What is r*y(i) + 4*z(i)?\nAnswer: 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/4 + 3 + 0 + 1. Suppose 4 = -q*v + 16. Find l such that 0*l**2 + 0 + 1\/5*l**v + 0*l - 1\/5*l**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6516, 6530, 6544, 6558, 6572?\n\"Answer: 14*d + 6502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - j**3 - 2*j**3 + 4*j**2)*(-4 + 2 + 0)*(2 + 1 - 5)*(7 - 8 - 7).\nAnswer: 96*j**3 - 32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -13*o**2 - 560*o + 16. List the prime factors of c(-14).\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/9 (b) 5 (c) 0.4 (d) 2 (e) -39 (f) -85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 184 and 115?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241996.\nAnswer: 2, 101, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrz when three letters picked without replacement from {z: 1, e: 1, j: 1, y: 1, r: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**9\/7560 - j**8\/4200 - j**7\/2100 + j**6\/900 + j**3 - 3. Let d(u) be the third derivative of k(u). Factor d(v).\nAnswer: 2*v**2*(v - 1)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -682*d**2 + 227*d**2 + 8*d**2 - 442*d**2 to the form q*d + a + y*d**2 and give y.\nAnswer: -889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i = -45*i + 2835902. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4, 3, 0.5, 0.1, 5211, -2.1, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12 (b) -0.2 (c) 0.71 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 35 and 1122 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 5*k**2 - k + 5. Let b be c(5). Suppose 0 = -2*r + 3*q + 13, 2*r + 0*q - 5 = -5*q. Suppose b*z - 5*z = r. Is z at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*n + r, -5*r + 8 = -4*n + n. Let a = n - -2. Let f be 9 - 4\/(-2) - a. Solve 4*q = -j + f, -q + 0 + 4 = j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*57\nAnswer: 62.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10176 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = b + 1 - 2, 0 = 2*b - 3*f - 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/12*200\/3. Let z be f\/(-26) - (-10)\/(-65). Is z <= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(68) + -2)*-6 + sqrt(68) + -4*(sqrt(68) + 0)).\nAnswer: -108*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r - 1. Let m(j) = 17*j**2 + 3*j + 1. Suppose -4*i - i - 5 = 0. Let h be m(i). What is the tens digit of k(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2505 = -5*m + 103840. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5\/2, -13, -1.235, 2.\nAnswer: -13, -5\/2, -1.235, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 19\/3. Let y = 0.7 - -5.7. Let v = y + -6. Which is the nearest to -0.1? (a) m (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165*-0.089\nAnswer: -14.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180 - 210 - 652\/(-22).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 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: List the prime factors of 1003.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -373, -840, -1493, -2332, -3357?\nAnswer: -4568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + i = -28, -7*c - 5*i = -3*c + 114. Let f = -13 - c. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*c. Suppose 233 = 3*h + 23. Suppose -c*z = 26 - h. Calculate the smallest common multiple of 10 and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(-15)\/(-945)*36\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -682003007 divided by -2\nAnswer: 682003007\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 6*o - 4. Let f be 3\/(-6)*2 - 2. Let m be -1 - ((-2 - f) + -5). Determine k(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 * -1.22.\nAnswer: 47.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) + 1))*4 - 1*sqrt(117)*5 - 1*(2 + sqrt(832)*-3 + sqrt(832)))**2.\nAnswer: -12*sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 85 = -4*u + 5*o, 0 = -3*u - 3*o + 117. Let l = u + -37. Suppose -l + 395 = 7*k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 0 = -2*o. Let a(l) = -o*l + 0*l - 11*l + 6*l. List the prime factors of a(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 18*q**3 + 8*q**3 + 4 - 28*q**3 + q**2 - 18 in the form v*q + b*q**2 + z + g*q**3 and give z.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47.3 + -47. Sort 3\/14, 5, u in ascending order.\nAnswer: 3\/14, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and (2\/6)\/((-2)\/(-12))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -197, -398, -599?\n\"Answer: -201*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9981, -9978, -9975, -9972?\nAnswer: -9969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*x - 616*x + 307*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 13*o**2 - 8944*o - 3. Let x(u) = -u. Determine z(x(s)).\nAnswer: 13*s**2 + 8944*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -9, -4 in decreasing order.\nAnswer: -0.02, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 5*k - 3*u - 15, -k - 11*u + 14*u = -15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 9 - 44 = 0. What is the second derivative of -41 + 7 - j*p**3 + p + p**3 + 5 wrt p?\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010000 + -1010101111110110?\nAnswer: -1010100000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4934, -9807, -14464, -18791, -22674, -25999, -28652, -30519?\n\"Answer: 19*u**3 - 6*u**2 - 4988*u + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -283*r + 2. Let v be o(-1). Suppose 5*s + 25 = v. Let y = s + -15. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*9 - (19 + -18). Let u be y\/10 - 21380002\/(-2)*1. Round u to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/120 - (-196)\/(-112))\/(3\/50).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -372, -1763, -4282, -8091, -13352, -20227?\n\"Answer: -27*g**3 - 402*g**2 + 4*g + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21020 - 2011010112010?\nAnswer: -2011010020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 2:52 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/10 and 14\/25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 30*k**2 - 9*k + 5. Calculate m(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - m - 5 + 5. Let d(w) = 7*w**2. Calculate k(d(q)).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -15 - (-2 + 5) - -13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.455 + -0.255. What is the closest to -4\/7 in 0.3, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 10*i + 9 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -449503950 divided by -6?\nAnswer: 74917325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 203?\nAnswer: 203.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, e: 1, l: 1, g: 2}. Give prob of sequence gge.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -332 in 0.2, 4\/3, -1\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9653 and 4503617?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l**2 - 42*l**2 + 22*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 7*s + 21. Solve s = 4*h + 23 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021220 + -1112?\nAnswer: -2100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3949\/3 - -1324. What is the third biggest value in -1.2, -0.1, p?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/30 - (-17572)\/60. Suppose 0 = 3*z - 4*u + 152, 4*z - u + a = 86. Let d = -37 - z. Solve 0 = 5*p - 2*p + d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -70, -258, -640, -1282, -2250?\n\"Answer: -11*d**3 + 2*d**2 + 11*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 16*n - 11. Let i be l(8). Let z be 63\/(-5) + (-45)\/i. Calculate the common denominator of 19\/12 and (-14 - -1)\/((-16)\/z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(95) - (sqrt(95) + -2*sqrt(95)*-4))\/(sqrt(80)\/sqrt(4)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -2\/9 (b) 0.43 (c) -3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2061248\/55 - -37476. Let f = 37803\/10 + -3789. What is the common denominator of f and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.9 + -0.1. Let g = 30.8 - h. Let f = -28.0000047 + g. What is f rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64218*-3\nAnswer: -192654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3897284.7153+-0.15\nAnswer: 3897284.5653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*a + 10, -3*z + 3 = -a + 8. What is the least common multiple of 54 and (8 - -28) + 1\/(-4)*z?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j + 30. Let l(i) = -i - 10. Let v(w) = 10*l(w) + 3*m(w). Suppose r + 2*f - 5*f - 2 = 0, r + 6 = -5*f. Let t(k) = -1. Determine r*v(c) + 12*t(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/10, -135.212, -8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/27)\/(12*9\/648). Factor -2\/3*r**2 + 0 + 1\/3*r**3 - 8\/9*r + 1\/9*r**y.\nAnswer: r*(r - 2)*(r + 1)*(r + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z = -200. Suppose 5 - 2 = -3*w. List the prime factors of w\/(-2*(-2)\/z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 43\/4 of a kilogram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhxssxhxxxhvxvlxhv. What is prob of sequence hvx?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1\/15, -28, 0.2?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 58 - 68 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5039*u - 20*u**3 - 5039*u)*(-8 + 8 + 30*u) + 0*u**3 - u**4 + 0*u**3 to the form i*u**4 + h*u**2 + s + p*u**3 + w*u and give i.\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/179 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 137, 266, 393, 524, 665, 822?\n\"Answer: f**3 - 7*f**2 + 143*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 2:25 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*m**4 + 0*m**4 - 4*m**4 + (3*m**4 - m**4 + m**4)*(1 - 1 + 1).\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.04, 5, 0.2 in descending order.\nAnswer: 7, 5, 0.2, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -b62?\nAnswer: b66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 16. Let f be 0\/y + 6\/(-3). Let r = -2.93 - 0.07. Which is the closest to -0.1? (a) -3\/7 (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*j, -4*c = -2*j - 6 - 42. Suppose -c*o + 23*o = 870. What are the prime factors of o?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4 - 25) + 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -16cc?\nAnswer: -16c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1285049 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154856 and 14?\nAnswer: 1083992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 167053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1095 - -1864. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 327, 324, 311, 282, 231?\n\"Answer: -h**3 + h**2 + h + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/16 - 7485\/(-40) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*sqrt(176))**2 - sqrt(176)) + ((sqrt(176) + 2*sqrt(176))**2 - sqrt(176) - sqrt(176))*-4.\nAnswer: -6165 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2842, 0.5, -2\/33, 3\/8, -3, -0.2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 25*t - 1419 - 597. What is the remainder when 564 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - s**2 - s + 3. Let q be l(0). Let n(v) = -2 + 0*v - 7*v + 3*v**2 + 2*v**2 + v**q. Let p be n(-6). What is the highest common factor of p and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 9 = 2*k + b, -2*b + 10 = 0. Calculate the highest common factor of k and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 77, 0, -19, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 4. Suppose 3*r - u*s - 11 = 3*s, -4*s = 4. Suppose -16 = r*l - 6*l. Solve 5*d + 45 = -5*t, l*d + 3 = -13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 14. Suppose 0 = -5*d + 3*i + 143, d + i - 13 = 14. Let u = d - 18. Calculate the lowest common multiple of j(0) and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54067, -108140, -162223, -216322, -270443, -324592, -378775?\nAnswer: -432998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 336 divided by -7\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 10*k = -4*m - 70, 5*k + 2*m - 108 = 0. Suppose 5*j = -k + 32. Solve 5*t - u + j = -3, -2*t - 4*u = 24 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)\/(h*h**(-3\/8)*h))**9 assuming h is positive.\nAnswer: h**(-441\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416506.\nAnswer: 2, 208253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.57 - 0.521. Let z = k - -2.751. Let x = 2.46 - z. Round x to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + b = 3, 2*g - 3*b + 6*b - 9 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -311354229.1 rounded to the nearest one million?\nAnswer: -311000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006667 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0093 - 0.0093. Let o = 2 - -1. What is the nearest to q in o, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5.922456 hours?\nAnswer: 355.34736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9694)\/(-148) - 2\/(-4) is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70277960 and 868604.\nAnswer: 773057560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 7:45 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51.3 * -2.\nAnswer: 102.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwjddjcjdjcjjcxxwc. Give prob of picking 2 w.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*f*q**4 + 2*f*q**3 + f - q**3 + 58*q wrt q?\nAnswer: 192*f*q**2 + 12*f*q - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*g + 1975, f - g - 395 - 1600 = 0. Suppose -4*o + 2*o + f = 0. Suppose -3*l - 2*l = -o. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 156 = 2*o - 4*p, 163 = 5*o + 3*p. Suppose 2*w + 2*v = -12 + 36, -v = 3*w - o. What is the smallest common multiple of 27 and w?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 3*a + 9, 4*r - 8 - 2 = -2*a. Suppose 0 = 2*t - 53 - r. Suppose -4*d - 4*z = -96 + 20, 2*d - t = 3*z. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -23 (b) 66 (c) 3 (d) 3.4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, -169, 2 in descending order.\nAnswer: 2, -3, -8, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5583c - 1?\nAnswer: 5583b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (2 - 6)) + 0 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01905? (a) 0 (b) -2\/3 (c) 1 (d) 0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54468418?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 5915 and -1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 26*h**3 - h**2 - 15*h + 24. Let d be t(4). Suppose c = 2*w - 803, 61*w - 65*w + 4*c = -d. Is w a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 26*x**5 - 2*x**4 + 2*x**2 + 36*x - 2. Let q(v) = v**4 - v**2 + v + 1. Let k(b) = -2*q(b) - w(b). What is the second derivative of k(t) wrt t?\nAnswer: -520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 310 = -922. Suppose 4*d + 796 - 185 = -3*l, -603 = 4*d - 5*l. Is d > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 1863?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3)\/f)\/f)\/(f**(-3)*f)*f**(7\/5)*f\/(f**(-6\/5)\/f) assuming f is positive.\nAnswer: f**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17278564 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(18*-1)*10\/15?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -1. Let y = h - -21. Let j be (-107)\/(-4) + 1\/y. What is the greatest common divisor of j and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1276 and 32560.\nAnswer: 944240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 11*m**2 - 155*m + 271. Calculate k(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 6. Let v be k(8). Let a = v + 11. Is 11 a factor of 40 - (a + (5 - 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 0.5 (b) -1.0229 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 71 = 5*d, -5*d = -d - 4*v - 52. Calculate the remainder when 236 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4109024183?\nAnswer: 11, 2153, 173501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 27, 4, 5, 7 in decreasing order.\nAnswer: 27, 7, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.35744 days in seconds?\nAnswer: 1413282.816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = 60. Let w = r - -17. Let i(z) = -z - z**2 - 4*z - 2*z. Determine i(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*z**2 - 344*z**2 + 1436*z**2 - 363*z**2 - 326*z**2.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.727 - 0.027. Let v = r - -0.3. Sort v, -1, 0 in increasing order.\nAnswer: -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 1. Let t(f) = -f**2 + 7*f + 1. What is 2*k(q) + t(q)?\nAnswer: -2*q**3 - q**2 + 7*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 47 + 25. Let s = 0 - -11. Let h = g - s. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 113972411 and -24909.\nAnswer: 113947502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144 - -135) + (-3 - -22).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 1 = -2*m, -765*z + 7*m - 2*m = -778*z + 116 - 19 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/1302*4)\/(68\/306)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 1\/80*u**6 + 0*u - 1\/420*u**7 + 0 - 1\/60*u**5 + 0*u**4 + 0*u**3 - 4*u**2. Factor l(w).\nAnswer: -w**2*(w - 2)*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 4*v + 36, 2*u - 25748*v = -25753*v - 45 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h - 3. Let k be f(3). Let o(u) = -13*u**3 + 5*u**2 - 12*u + 4. Let c be o(k). Let q be 24\/(-32) - c\/8. Round q to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3408 greater than -3406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2964716735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {c: 2, l: 1, f: 4, i: 1, s: 3, o: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*o + 15, 2*o - v + 15 = 2*v. Suppose -7*q + 2*q + 4*i + 20 = o, 5*q - 20 = i. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {l: 12, p: 2, c: 5}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4699845 and -445716?\nAnswer: 5145561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 122 = -10. Suppose z*o - 478 = 122. Calculate the greatest common factor of 50 and o.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 11*c - 4. Does 18 divide d(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 94 = -3*p + 5*m, -4*m - 4 = 0. Let r = -12 + p. Suppose 0 = 6*b - r*b + 126. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i - 13. Let b be u(-4). Let f be (-3 + 3)*(0 - -1). Suppose -3*s + f*s = b*p - 24, 3*s + 5*p - 24 = 0. Is s < 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3\/7, 9, -81?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (5 + -1 - (77 + -32 - -31)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.355 - 0.045. Let y = 1.6 + t. Let h = 2.800137 + y. What is h rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 197\/10, -3\/4, 2\/11, 0.3, -1 in decreasing order.\nAnswer: 197\/10, 0.3, 2\/11, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8167.6242 seconds to days.\nAnswer: 0.0945326875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -14*r. Let y(q) = -99*q. Let w(m) = -15*k(m) + 2*y(m). Let l(d) = d. Let u(n) = -2*n + 0 - 3*n + 2*n + 1. Let h be u(-7). What is h*l(o) - 2*w(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 275 and 550.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000866 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) + (-2)\/(-30). Suppose 3*j + 5*q = 2, 0*j + 3*j + 4*q = 4. What is the nearest to 1 in b, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347746682 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vyxcxccxxcnx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -39324, -78763, -118210, -157665?\n\"Answer: -4*p**2 - 39427*p + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3633040 (base 7) to base 8\nAnswer: -1606341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - 6*r + 12. Suppose 0 = -4*t - 5*f + 60 - 19, 4*t - 26 = -2*f. Suppose -6 + 30 = t*g. What are the prime factors of a(g)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1025 - 976.6. Round a to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25 from -7572.\nAnswer: -7597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 851309688 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -1 (c) 5 (d) 1\/98\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 - 2a7?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(12 - -3) + 240\/18*2. Let f = 14 + -11. Calculate the greatest common factor of f and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 11, g: 2, n: 2, c: 1, m: 2}. Give prob of sequence lc.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = h - 2 - 0, 4 = 4*a + 2*h. Solve -2*o = -a*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 17 - 11 = 0. Let h be (-772)\/(-3520) - i\/(-8). Let q = h - 11417\/7920. Find the common denominator of 37\/18 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 39290006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1864*i - 428*i + 1056 - 57 = -1293 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73081901 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 122, 115, 98, 65, 10, -73?\n\"Answer: -i**3 + i**2 - 3*i + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 124270698 to the power of 1\/4, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**5 + 176*x**2 - 211*x wrt x.\nAnswer: 40*x**3 + 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44303\/11022 + 13\/501. Let c = -1\/29353 - -3727843\/352236. Find the common denominator of c and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 554 + -534. Suppose -4*b + 5*r + 1646 = 355, -4*r + o = 0. Calculate the remainder when b is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 15 + 13. What is the remainder when 32 is divided by ((-63)\/(-42))\/((-6)\/m) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 844.647.\nAnswer: -4223.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*x + 973 = 0, -3*q - 2*q - 972 = -3*x. Let h = -1444 + q. Let f = h - -8639. Round f to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1491 and 781?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51142379 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627 - 253 = 110*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201536\/(-6298) - (-3 - 23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111101110001000100 (base 2) to base 15.\nAnswer: a297a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 1, 9, 5 in decreasing order.\nAnswer: 9, 5, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-17)\/m*m*m)**(25\/4) assuming m is positive.\nAnswer: m**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 120, 1061, 3608, 8571, 16760, 28985, 46056?\n\"Answer: 135*p**3 - 7*p**2 + 17*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s - 24. What is o(8)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0*w**3 + 0 + 7\/4*w**4 + 22*w**2 + 35*w. Differentiate s(r) with respect to r.\nAnswer: 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -124878, -249404, -373930?\n\"Answer: -124526*j - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 4*s**2 - 24*s + 12. Let z be g(-7). What is the greatest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, i: 1, p: 1, k: 2}. Give prob of sequence qk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-5 + 16) - -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2294 + 133*n - 2294 + (-3*n + 0*n + 4*n)*(0 - 4 + 2) - 15 + 8*n + 15.\nAnswer: 139*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45, 172, 383, 678, 1057, 1520?\n\"Answer: 42*i**2 + i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2498753ug to milligrams.\nAnswer: 0.0002498753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*m - 41 + 24, 3*m = 5*r + 10. Let i = 8 + -6. Suppose 0*w - 3*w - 91 = -5*j, -i*j = -5*w - 44. Calculate the remainder when j is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((0 + sqrt(171))**2 - (2*sqrt(19) + 0)) + 5).\nAnswer: -12*sqrt(19) + 1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8137 or 8138?\nAnswer: 8137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 43751*h. Let s(d) = 327*d. Give s(a(q)).\nAnswer: 14306577*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2\/143 (c) 0.4 (d) 1\/2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21497389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 277\/2 - 157. Let p = w + 19. Which is the smallest value? (a) -1 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -225 - -357. Let s be h\/(-22) - 33\/(-9). What is the closest to s in 3, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003733 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 24 (c) 2 (d) 1\/5 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110 + 101100000000000?\nAnswer: 101100001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 72.53 + -1.53. Let p = -1010179 - -1010250.0109. Let f = p - g. Round f to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17494018 and 356.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*57\/(-494)*4.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4533*a*k**2*l + a*k*l - 4*a*k + 3*k**2*l - 5136*k*l wrt k.\nAnswer: 9066*a*l + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98314829 to the power of 1\/3, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(363) + sqrt(363) - -1*(sqrt(3) + 2).\nAnswer: 4 + 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-106)\/(-4) + 1\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*w - 0*w + 45. Let d(x) = -x**2 + x - 1. Let j(y) = 2*y**2 - 8*y + 5. Let h(u) = -u - 5. Let o be h(-4). Let v(q) = o*d(q) - j(q). What is v(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24309458 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 - 5*n**3 + 9*n**3 + 4*n**2 + 4 - 12 + n - 4*n**3 in the form p*n**3 + j*n + z*n**2 + w and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666*r + 450*r - 478*r + 3006 = 308*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6274175?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23250 and 4441990?\nAnswer: 333149250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 66335.83 tonnes in milligrams?\nAnswer: 66335830000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -t + 5 + 5, -6 = -2*i - t. Let p(r) = i*r**2 + 2*r**2 - r**2 + 3 - 4*r**2. Calculate p(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399536082 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5729, -2, -203, 4, -4 in decreasing order.\nAnswer: 4, -2, -4, -203, -5729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -7*w**4\/24 - w**3\/3 - 6*w**2. Let j(f) = -3*f - 1. Give 5*j(v) - 2*y(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1305964 and -101\/54672.\nAnswer: 266416656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.96 > 179\/90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 167053582 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 2*n**3 + 2*n**2)*(-10 + 10 + 62*n) + 3*n**4 - n**4 - 3*n**4 - 2 + 2 - n**4 + (4*n**2 + n**2 - 3*n**2)*(n**2 + 0*n**2 + 2*n**2).\nAnswer: -120*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -994 - s - 18*s + 16*s + 2*s**2 + 3*s to c*s**2 + z*s + u and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484757 - 119379 = 8164*n for n.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -1526069964885.\nAnswer: -1526069964884.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = 5*t + 2*f, -2*t = -7*t + 2*f + 440. Suppose 3*q - 683 = -t. List the prime factors of q.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + -5 + 3*sqrt(180))**2.\nAnswer: -1728*sqrt(5) + 10104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57*a - 412.\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Suppose -2*q - n = -14, -3*q - 3*n = -j*n - 21. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5. Suppose -j + 5 + 1 = p. Suppose 8*v = j*v + 148. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + 5*l**2 + 22*l - 15. Let g = 80 + -91. Let q be c(g). What are the prime factors of 4\/7 + q\/(-91)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2557 + -647?\nAnswer: 1a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.0645.\nAnswer: 0.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 26, -26, -2\/29 in ascending order.\nAnswer: -26, -2\/29, 3\/5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -997.7 + 1003.123. Let j = -0.243 + o. Let i = -1.18 + j. Which is the closest to 1\/4? (a) -5 (b) i (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5302 divide 233298604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h + 483 = 339. Which is the closest to 11? (a) h (b) 0.05 (c) -1\/8 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z - 2*z - 4*z. Let x(a) = -3*a**2 - 2*a. Let p(d) = -13*d**2 - 9*d. Let f(l) = -4*p(l) + 18*x(l). Give i(f(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4460348 and -0.9.\nAnswer: 4460347.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 49 = -2*i + 82, s = -i + 61. Let z be 5\/(-4*(-4)\/i). Let f = 1 + 2. Solve -2*u + z = f*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + g**2 + 12*g + 132. Calculate h(0).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54103\/33183 - -1\/1229. Find the common denominator of p and -85\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-135)\/30)\/((-63)\/518).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 1 + 86 + -44\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -643 = -3*h - d, 0*h + 3*d = -h + 201. What is the greatest common divisor of h and 576?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1847 = 116*a + 5625 + 4012. Sort -3\/2, -1\/5, a in increasing order.\nAnswer: a, -3\/2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8065202*a. Let m(c) = c**2. What is m(u(h))?\nAnswer: 65047483300804*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170086321.\nAnswer: 59, 991, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -379 (base 11) to base 3\nAnswer: -121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - 10001100100?\nAnswer: -10001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(11) + 2*sqrt(11)) - (sqrt(2) - (-1*sqrt(72) - sqrt(72))))**2 + 4*(sqrt(32) + -4).\nAnswer: 16*sqrt(2) + 2744\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8964, -8997, -9030, -9063, -9096, -9129?\nAnswer: -9162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**3 - 18*k**2 + 29*k - 21. List the prime factors of h(16).\nAnswer: 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-6))\/((-39)\/1170). Calculate the greatest common divisor of r and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 170*r**2 - 92*r + 1109. Let u be h(171). Is 14618 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 + 1024\/4956. Let n = -589\/236 - f. Calculate the common denominator of n and 115\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuggiqiuiqgi. Give prob of sequence qi.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 0*v**3 + 0 + 1\/132*v**4 + 0*v**7 + 0*v**5 + 175*v**2 + 1\/1848*v**8 + 0*v - 1\/330*v**6. Let n(k) = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**5 - 21020*z**4 + 465*z**3 - 101309897*z**2.\nAnswer: -60*z**2 - 504480*z + 2790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 4*i, 4*f - 24*i + 23*i = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/44 + (-2)\/(-16).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 38*d**3 + 3*d**2 - d - 2. Let f be o(2). Suppose 0*x + f = 4*x. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 118794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -11 - 29. Let n(g) be the third derivative of -g**4\/24 - 5*g**3\/6 - g**2. Does 5 divide n(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5832 and 6804?\nAnswer: 40824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (331 - 3\/2*2) + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**2))**(2\/17)*(r**2)**(-46) assuming r is positive.\nAnswer: r**(-1568\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 0*k**3 - 1\/60*k**5 + 0 + 0*k**4 - k - 1\/2*k**2. Let f(s) be the first derivative of m(s). Let t(g) = 9*g**2. Give f(t(c)).\nAnswer: -81*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*g = -4218, -r + 1413 = 5*g + 345. Suppose 17*q - 4*q - r = 0. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16850031?\nAnswer: 3, 11, 67, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -327, -326, -235, -24, 337?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5254257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1117 + 13112. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*o - 83. Calculate the highest common factor of o and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times 22.6?\nAnswer: -632.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1178 divided by -589.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 695668.9m in micrometers?\nAnswer: 695668900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**7\/126 - 5*s**6\/72 + 5*s**5\/36 + 25*s**4\/8 + 10*s**3 - 291*s**2. Let q(l) = 0. What is l?\nAnswer: -4, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 1. Let m be w(0). Solve x = m - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*p + 57 - 381, 2*p = -4*w - 632. Let a = w + 231. What is the remainder when a is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33781 is divided by 322?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 4*k**2 + 3*k - 3. Let h be s(-4). Let q be h\/((-4 + 2)\/2). Suppose -q = -6*x + x. Calculate the highest common factor of x and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*i - 5 - 246*i - 34*i - 39*i - 279*i to the form u*i + k and give u.\nAnswer: -739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -45. Solve 3*p - 2*v + 4 = -2*p, 2*p - 2*v + 4 = t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3 - (3 + 4)) + (-2357 - -2408)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/170406 and 83\/8?\nAnswer: 681624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**2\/2 + b + 4. Let r(i) = i - 1. Let w(s) = 2*s + 15. Let f be w(-9). What is f*r(v) - 2*y(v)?\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -14182*-1\nAnswer: 14182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 3\/5, 2\/5, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2. Let z(d) = 33*d**2 + 2*d. Give z(i(q)).\nAnswer: 33*q**4 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 576447.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -5)\/(-17 + 18) - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 10) + (-13 - -10 - -17 - 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - c - c + 3*c. Let i(k) = -11*k. Give n(i(g)).\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97 - 24 + 217)*(3 + 3 - 5)*(4 - 2*m - 4).\nAnswer: -192*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + 2 + (3 - 4). Suppose 0 = -4*s - r + 8 + v, -5*r = -15. Suppose s*o - 16 = 5. Calculate the smallest common multiple of o and 13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1557*k**2 + 0*k - 1602*k**2 + 0*k.\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 5. Let s be j(-6). Suppose -4*b + 2*k + 16 = 0, 5*b - 3*k - 8 - 11 = 0. Let z = s + b. Solve 5*p = -9 - z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 15 = -5*x, 0 = -3*w - 2*x + 25. Suppose -2*k = -3*y + 57906, 0 = w*y + 4*k + 11145 - 107633. Round y to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1938*v + 148*v - 287*v + 80*v.\nAnswer: 1879*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 5bc64?\nAnswer: 5bc69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149 - 77. Let x = -32 + h. Suppose -16 = -4*s + x. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.64 in -0.18, 1, 5, 4?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21084 is divided by 2975.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36770624 and 30096?\nAnswer: 330935616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213.234 - -215.2. Let l = u + 0.034. Let i = -11 - -7. Which is the nearest to -2? (a) i (b) 3\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*b - 80 = 0, 5*u - 7*b + 2*b - 130 = 0. What is the remainder when u is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 521, -951, -4933, -12679, -25443, -44479, -71041?\nAnswer: -106383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3.8. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2312\/11*t + 68782\/11 - 8*t**3 - 1020\/11*t**2 - 2\/11*t**4 = 0.\nAnswer: -17, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - ((-5 - -1) + -4)) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-344)\/129 - 2\/(-3). What is the biggest value in -1\/2, z, -30, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 246*l**5 - 1234*l**4 + 2234*l**3 - 1758*l**2 + 520*l - 8 = 0?\nAnswer: 2\/123, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9531 a factor of 1697616736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.46 and -4888 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 361d3 (base 15) to base 3\nAnswer: 22202200200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28.94 - 5664130020\nAnswer: -5664130048.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 6. Let z = t + -6. Let k = z - -8.9967. What is k rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 3 + (-3 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 4*g + 8*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i - 2. Calculate l(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/2629 and -36\/10277?\nAnswer: 113047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176087 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*f**4 + 88*f**3 + 24*f**2.\nAnswer: 2*f**2*(f + 6)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/((-14)\/(-189)). Let z be (-2)\/(-3)*-2*q. Suppose g + 4*n - 68 - 4 = 0, 2*g - 4*n - 108 = 0. What is the highest common divisor of z and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93 and 1836.\nAnswer: 56916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-3\/4))**(-46)*(f**(-8)\/f)\/(f**(1\/7)\/f))**(-17) assuming f is positive.\nAnswer: f**(21097\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3231936289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45 - -21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*q - 20 + 55 - 30)*(3*q + 0*q - 2*q) as x*q + g + t*q**2 and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjfwffjfffwfffjfff. What is prob of sequence fjf?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-1 - 1 + 3)*(-2*q**2 + 1 - 1).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 5.9999898. What is l rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2408 (base 10) in base 4?\nAnswer: 211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 1947\/70?\nAnswer: 1947\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 7. Let o be x(8). Let c(w) = 5 - 4*w**2 - w**3 - 1 + o. What is the units digit of c(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 34 = 4*m, -5*m - 26 - 21 = -3*v. Put -6, v, -5, -2 in ascending order.\nAnswer: -6, -5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 1\/463, 17, -0.1, 2 in decreasing order.\nAnswer: 17, 2, 1\/463, -0.1, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19421 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 smaller than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4 = 1. Suppose -a = -3 + l. Suppose -a*j + j + 19 = -4*i, 0 = 4*j - 3*i - 50. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1 + 45*z - 2*z**2 + 3 - 52*z. Let n be b(-3). Suppose -8*l + 39 = n*l. Solve -3*i + g - 1 = 0, -l*i = -2*i - 4*g + 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38\/45 + -11\/15. Let o = -1737 - -3473\/2. Put -4, 1\/2, n, o in increasing order.\nAnswer: -4, o, n, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3005 a factor of 41952805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 + -69. Suppose c - 19 = j*u + 59, -c - 2*u = -86. Calculate the highest common factor of c and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - d + 14*d - d + 17*d - 26*d.\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10968, 10966, 10964, 10962, 10960, 10958?\n\"Answer: -2*b + 10970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -69508400 rounded to the nearest one hundred thousand?\nAnswer: -69500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/19 (b) 0.5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - f**3 + 4*f**3 + f - 3*f**3 - f + (2 + 0 - 1)*(-f**3 + f**3 - 2*f**3).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*i**3 - 11*i**3 + i + 7*i**3 + i - 1 in the form q + d*i**3 + n*i + b*i**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-2)\/5*(-2 - 3). Let a(m) = m**2 - 2*m. Let h be a(2). Solve k*i - 2*i = h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnpubu. Give prob of picking 1 n and 1 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2274 is divided by 2194?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = 21*p - 132 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2875 + -57569\/20. Find the common denominator of 29\/33696 and o.\nAnswer: 168480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u*(u\/u**(-28)*u*u)\/u)))\/u*u*u\/(u*u**32))**(-4\/5) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 - -4*115\/(-759). Is l at least -2\/155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 - 6*u - 2. Suppose 19*j = 205 - 91. Let z(x) = -5*x**2 - 7*x - 2. Determine j*z(h) - 7*q(h).\nAnswer: -2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8480468783 rounded to 3 decimal places?\nAnswer: -1.848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40115337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 1. Let h(s) = 2*s**2 + 3*s - 20. Calculate -2*b(w) - h(w).\nAnswer: -2*w**2 - w + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 0*u**2 + 23 - 4 + 7*u**2 + 13*u + 7*u. Let l(k) = 3*k**2 + 10*k + 9. Let n(x) = -4*c(x) + 9*l(x). Let t be n(10). Solve -12 = t*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a94 (base 11) in base 14?\nAnswer: 69b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2*k + 21, 0*k = -2*v + 2*k. What is the remainder when 11 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 6*y**2 - 9*y - 6. Let a be l(-7). Let j(o) = o - 1. Let c(t) = -1971 - 6*t + 990 + 987. Let z(n) = a*j(n) + c(n). Calculate z(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.7 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.42 - -0.08. Let n = -0.5 + p. Which is the second smallest value? (a) -2 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**4\/12 + 13*h**3\/6 + 73*h**2. Give u(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 16*i**2 + 5*i - 5. Let u(z) = 24*z**2 + 8*z - 8. Let h(q) = 8*c(q) - 5*u(q). Let j(y) = y. Give j(h(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30657530237 and 345.\nAnswer: -30657529892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 - 38662*h + 8004092\/9.\nAnswer: -2*(h - 23)*(h + 174002)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 q when four letters picked without replacement from {q: 2, r: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -7188.842 to the nearest 10.\nAnswer: -7190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 2 - 2)*(5*n**3 - 2*n**3 - 4*n**3)*(3 - 2 - 8).\nAnswer: 7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 248 - 258.2. Let o = 10.5 + l. What is the second biggest value in 17, o, -3\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46\/27 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -93. Let g be 30\/60*0\/(u + -1). Solve g = -f - 6 + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 11*h**2 - 133*h - 65. Determine b(-18).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 + 116. Calculate the remainder when 53 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74162032.\nAnswer: 2, 7, 67, 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11*m**3 + 8*m**2 - m - 3. Determine d(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-4) + ((-275)\/(-7))\/(-11). Let w = 45389 - 1588281\/35. Let p = w - 64\/7. Sort p, 6\/11, u in descending order.\nAnswer: 6\/11, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*h - 14, u - 2*h = 2*u + 4. What is the remainder when 23\/(u\/(-5 + 23)) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-3 + (-4175 - 3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -42. What is the second smallest value in 3, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208192, -209640, -211088, -212536, -213984?\nAnswer: -215432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-3 - (-9)\/3). Suppose q = t - 12 - 9. What is the greatest common divisor of 6 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - w + 22 = 0, -4 + 10 = 3*w. Let o(r) = -r**3 + 9*r**2 + 24*r - 24. Does 3 divide o(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-3)\/6)\/(1089\/59532))\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 191 - 192.13. Let q = i + 2.43. What is the nearest to 1 in -1, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 8*s - 1. Let q be g(6). Suppose -f + q = -3. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*g + g + 2, 0*g + 2*g + 5 = -2*j - 26 - 23 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/2313, 4, -6, -7, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.01208927.\nAnswer: -0.02417854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -260 + 289.36. Let p = -475.9 + 449. Let l = k + p. Round l to one decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 1, 6, -53\/5, 4\/7, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12014 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 731 + -627. Let a = -11 + 29. Calculate the remainder when g is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -f + 1. Suppose f*g + 3*g = 430. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 37317879192694.\nAnswer: -37317879192696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 10*y = -168. Calculate the remainder when 23 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 - 67. Let t = -1594\/1017 - -4\/339. Let r = -8\/9 - t. Which is bigger: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l*t**5 - l*t**2 - 4*l*t - l - 260*t**5 + 14 wrt t?\nAnswer: -40*l*t**3 - 2*l - 5200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2112 (base 6) to base 10.\nAnswer: -476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1)\/((-3)\/6). Let u be b*(-4 + (1 - -1)). What are the prime factors of (-6)\/u - (-68)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356459?\nAnswer: 19, 73, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10346 - 4978. List the prime factors of q.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a millimeter in micrometers?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35812 take away 6.1336?\nAnswer: -35818.1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20110*g*j + 417*g - 43*j - 4140 wrt j.\nAnswer: 20110*g - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*r = 8*u - 4125, -3*u + 4*r + 2486 = 0. Let c = u + -343. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*d - m, 151*m - 130*m = -d + 297. Let 1\/4*a**2 + 1\/8*a**4 + 0 + 3\/8*a**d + 0*a = 0. Calculate a.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-44) - (-6)\/12?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 28*c - 251. Let t be (-5)\/(2*-2*(-11)\/308). Calculate w(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 961938 and 14814.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -2. Let v be t*(-2 - (-48)\/28). Let w = -4 + 4.2. Which is the closest to v? (a) -5 (b) 4\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.75 + -2.75. Let o = 22.228858 + -20.22886. Let v = n + o. Round v to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 3*b + 909 - 911, 2*b = -7*x - 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22866 and 16786?\nAnswer: 191914338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 3190029\/(-1332072) + (-6)\/(-14). Let b = 42\/881 - v. What is the common denominator of b and -31\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.861103 years in months?\nAnswer: 22.333236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39894 minus 3?\nAnswer: 39891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3.1. Let f = -0.0533 - -0.1533. What is the closest to f in -5, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*(-1071)\/119*4\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552765.\nAnswer: 3, 5, 43, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 531538, 1063076, 1594614?\nAnswer: 2126152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 6. Let n(m) = m**2 - 6*m + 8. Let p be n(2). Suppose 0 = c - 3*z - 23, -y*z = -c - p*z + 24. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/63 (b) 71 (c) 5\/4 (d) 1 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 17*p - 21. Determine n(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (1*sqrt(8))**2) - ((sqrt(10)\/(2*(sqrt(20) - sqrt(5))))**2 + 2).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.18*-37.687\nAnswer: -6.78366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4280540912 + 4280540953.90501038. Let v = -41.94301 + b. Let o = -0.038 - v. Round o to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7318*d**2 + 7331*d**2 - 14655*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1815\/7 + -23588\/91. What is the nearest to 0.1 in 1\/10, s, 0.2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -5. Suppose -w*z + 8 = -2*z. Suppose 0 = -3*x + z + 1. Put -5, 2, x in decreasing order.\nAnswer: 2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - 4*x**2 - 3*x + 5*x**2 - 18*x**2 in the form c + d*x + q*x**2 and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1. Let b be (-15)\/25 + (-2)\/5. Let o be (24\/8)\/(b - -2). Sort l, -2\/25, o.\nAnswer: l, -2\/25, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/8*24\/5. Solve p = -5*y - 4*z, 0*z - 6 = 4*y + 5*z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r - 9. Suppose -24 = -4*u - 0*u. Let o be j(u). Let h be (-54)\/2*10\/(-15). Solve o - h = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -197 + 197 - 16009*u + 13225*u to r*u + g and give r.\nAnswer: -2784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 17 = -3. Let p = -16 + y. Calculate the highest common factor of p and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j, -x + j - 950 = -2*j. Let u = 2 + -4. Let d be (10\/(-25))\/(u\/x). What is d rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1.61, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/54 - (-50)\/(-48).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 2:28 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 5*a - 10. Let h(t) = -t**2 + 5*t + 10. Let i(m) = 4*h(m) + 3*s(m). Let x be i(6). Solve j = -x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2540*j + 1521. Is v(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 37*s + 957 = 0. Solve s*t - 10 = 31*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from csusccb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3050, -2985, -2906, -2807, -2682, -2525, -2330, -2091?\n\"Answer: b**3 + b**2 + 55*b - 3107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -120*q**2 - 10240 - 61*q**2 + 85*q**2 + 4*q**3 - 2304*q.\nAnswer: 4*(q - 40)*(q + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 13*p + 5. Let u = 0 + -11. Let f be c(u). Suppose f = 3*w + 3. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59035235 and 1910.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -6 - (7 + -4). Let m(f) = -f**3 - 1. Let c(a) = 7*a**3 + 6. Calculate b*m(o) - c(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 28*d**2 - 29*d + 91. Determine k(3).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/((-380)\/(-124) + -3). Let o = -175 - h. Let d = o - 62. What is the remainder when d is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 4*u + 7. Let j be v(6). Let c = j + 54. Let o(d) = -d - 5. Calculate the remainder when c is divided by o(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2288417 take away 1.7?\nAnswer: -2288418.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 447 + -442. Solve 4*w = -f - 1, -2*f + 3*w + 3 = -l*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 3080?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*i + 9, 2*m = 3*i + 105. Let c(a) = -17*a**2 - a - 2. Let l be c(-2). Let f = l + 108. Calculate the greatest common factor of m and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 3847 = 2318. What is the smallest common multiple of 6165 and v?\nAnswer: 6165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-1)\/6*-3. Suppose -38*l - 137 = -175. Sort 26, p, l in descending order.\nAnswer: 26, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 63. Let w = -6 - -9. Let c be w + (-2)\/(6\/9). Calculate the remainder when z(c) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 342792 and 3312?\nAnswer: 685584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 497*v - 14. Let i be c(8). Suppose 0 = -5*g + 2*k + 9845, k - i = -2*g - 3*k. Let j = g - 7939\/4. What is the common denominator of j and -17\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**5\/(((p*p\/p**(-17))\/p*p)\/p*p)*((p\/((p**(-4)*p)\/p))\/p)**(1\/17) assuming p is positive.\nAnswer: p**(-234\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + d. Let p(z) be the third derivative of -z**5\/12 - z**4\/6 + z**2. Suppose -169*c - 28 = -162*c. Determine c*m(j) - p(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4960 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 109481782 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 240144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 11*c = 865. Let y = 349 - c. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/42)\/((-76)\/6) - 1504\/152?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 57 - 4) + 2279 + -2260?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -10. Let r be (2\/n)\/((-8)\/80). Solve -2*y = -6*y - 3*b + 23, 0 = 2*y + r*b - 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10651*r**3*w**3 - 20*r**3*w**2 - 51*r**3*w wrt w.\nAnswer: 63906*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((15\/(-12))\/(-5)). Calculate the greatest common factor of x and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814433 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p - 70*p + 3999 = 0. Let q(o) = o - p + 262 - 133. Let n(j) = 367*j. Give q(n(r)).\nAnswer: 367*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a - 8. Let v be k(-2). Suppose -2*y - 2*y + 16 = v. Suppose -y*q = -2*h - 2356, -2*q + 4*h = 3*q - 2951. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172639 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h - 6. Let q be t(3). Let x = -122 + 121. Which is smaller: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45436446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17561?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 114*t**3 + 457*t**2 + 24*t + 125. Calculate a(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 7. Let h(z) = -4*z - 6. Let r(f) = -f + 1. Let d(g) = 2*g**3 + 18*g**2 + 25*g - 7. Let o be d(-2). Calculate k*r(m) + o*h(m).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 628 = 44. What is the highest common divisor of 21 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8887.313ug?\nAnswer: 0.000008887313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13000 + 18662. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwcwwwcwgwaggwwawa. What is prob of picking 1 w, 2 g, and 1 c?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 + v**5 + v**5 + (-2 + 2 + v**4)*(2 - 2*v - 2) - 24*v**5 + 175*v**4 - 175*v**4.\nAnswer: -28*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**13*b**(7\/5))**3 assuming b is positive.\nAnswer: b**(216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 51991680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2280.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 127 - q**2 - 4\/5*q + 14\/15*q**3. Factor w(b).\nAnswer: 2*(b - 1)*(7*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10924*g**4 + 2018*g**3 - 21488150*g**2?\nAnswer: 262176*g + 12108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-6) - 3\/(90\/(-1510)). Suppose l*p = 51*p - 140. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -699, -0.5, 0.1, -4, -1\/15, 0.18?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-300)\/(-360))\/((-150)\/160)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9971 is divided by 2426?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381327 divided by 2.\nAnswer: -381327\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a = 16*a + 77. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 11:52 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 u when three letters picked without replacement from uuuauhlhluuuualuhua?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 1:10 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u - 13. Suppose -3*v + r = 17, 4*v - 25 = 5*r - 66. Give s(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2886214, -2886335, -2886456?\nAnswer: -2886577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*y - 0. Suppose 3*v + y*c = c + 16, v = 5*c - 23. Calculate the remainder when 3*(-6)\/(-36)*10 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4880 and 3705.\nAnswer: 3616080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.29 rounded to zero dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*l + 2124 = 118*l + 129*l. Solve -l*c - 179 = 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 325 - 275 = 0. Let q = 136 + r. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j - 43*j - 10*j = 1742 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -522 greater than -516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -9 + 6 + 7 - 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7 - 1 = 0. What is the highest common divisor of l and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -317, -689, -1095, -1541, -2033, -2577, -3179, -3845?\n\"Answer: -u**3 - 11*u**2 - 332*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 5*l - 2*l)*(l - 2*l + 3*l) + (-3*l**2 - 3*l**2 + 5*l**2)*(2 + 0 + 0) + 2*l**2 - l**2 - 15 + 10.\nAnswer: -5*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3456) + 6*sqrt(3456)*1)\/((sqrt(800) + sqrt(800)*2 - sqrt(8))*-2).\nAnswer: -42*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 - -147. What is the greatest common factor of 352 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 + 4*m**2 + 3*m - 12. Give w(3).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by (80\/(-14))\/((-20)\/70) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -a6966696?\nAnswer: -a6966699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/4 and 115\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.07 - 15. Let b = 0.0699993 - x. What is b rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0711 - 5.\nAnswer: -5.0711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5769986 microseconds in nanoseconds?\nAnswer: 576.9986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47446 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 14. Let o(a) = -a + 1. Let v(j) = b(j) + o(j). Let p be v(-7). Let y(u) = -9*u**3 - 2*u + 1. Calculate y(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*o + 7*o, -2*o = 3*u - 12. Determine j, given that 5 + 0*j**2 + 4*j**2 - 9*j**u + 15*j**3 - 15*j = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 + -529\/8. Which is the second smallest value? (a) -3 (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 168407327.\nAnswer: -2\/168407327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 10 + (1 + 14 - 5)*(6 - 3 - 1))*(1 + 1 - 8)*(2*d**2 - 3*d**2 - 7*d**2).\nAnswer: 1632*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17.2762185 and -24579.\nAnswer: -24596.2762185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 - 16*r**2 - 5*r - 99. Is t(-10) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16184761.4516 - 0.4.\nAnswer: -16184761.8516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95 by 3.\nAnswer: -95\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(6\/7)*(d\/(d**8*d)*d)\/d)\/(d**(3\/5)\/(d*d**(-2\/5)\/d)) assuming d is positive.\nAnswer: d**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyttyzywttyy. What is prob of sequence ewy?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13275.79 + -13148. Round u to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/10579 or -1?\nAnswer: 7\/10579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -18. Suppose d = -0*i + i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*c = -1475211 + 1472464 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 103250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5006845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 92.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 795 and 6837.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -14*u - 3. Let j(s) be the second derivative of -s**6\/144 - s**5\/120 + s**4\/3 + 2*s. Let t(d) be the third derivative of j(d). Give 4*a(v) - 11*t(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*o - 13311 - 3*o**3 + 13435 + 4*o**3 to the form u + i*o + p*o**2 + d*o**3 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61535359 is divided by 2499.\nAnswer: 2482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 29 (b) 2 (c) -1 (d) 7\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 367453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 10, 12, 2\/9, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from xxaxxaaaaxaa?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + -103 + 90 + 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*v - 25 = -7*a, -153 = -21*a - 3*v for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -133b41 (base 14) to base 8\nAnswer: -2417735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 1. Let a be h(0). Suppose 0 = 4*l + a - 61. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 103954*b**3 + 105444*b**3 - 13*b**2 + 13*b**2)*(3*b + b - 2*b)*(-3 + 0 + 4).\nAnswer: 2980*b**4 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 59*h - 20. Let t be g(4). Calculate the highest common factor of 24 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4224 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 37 (b) -20 (c) -14 (d) 0.2 (e) 0.4 (f) -2 (g) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 + -76. Let b(o) = 2*o**2 + 6*o - 26. Let c be b(t). What is the highest common divisor of 45 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 51184 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 - 49. Suppose -4*p + 0*m = 4*m - 132, -5*m - z = -2*p. Suppose -4*o + p = -o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 1. Let u(g) = g + 4. Let q be u(-3). Let f = q + -1. Suppose -i + 4 = -d - f, d = -4*i + 16. Calculate b(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -54*u**2 + 916*u - 2815. Calculate p(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 186*a + 27. Let u(g) = 2*g + 8. What is -n(x) + 2*u(x)?\nAnswer: -182*x - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 - m + 2. Let p(k) = k - 2. Let t(v) = p(v) + w(v). Let h(s) = 1 - 1 - s. Give h(t(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (23 - -1) + (86 - 96)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/4)\/(-5)*10\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 - 4 - 1 + 15*u + 46 as c*u + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -433 - -621. Let y = m - 18. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -637637 divided by -1001?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*u + 17*u - 4. Suppose -4*n - u + 10 = 0. Let f(y) = 2*y - 5. Let r be f(4). Solve -z = 5*o - 8, n*z + r*o - 11 = -2*o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -938*q - 1905. Is w(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*r - 10. Let y(z) = -z**2 + 7*z - 5. Let w be y(r). Let g be 3\/(-9) + 16\/(-6). Put 3, w, g in ascending order.\nAnswer: g, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -2*t + 27, -9*l - 14 = -t - 6*l for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-5) - 22\/(-5). Suppose 5*l = -f - 5 - p, -20 = 5*l. Suppose 4*t - 25 = 5*t + 5*w, -4*t = 2*w + f. Solve t = 3*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**5\/2 + 1441*f**4\/2 - 205997*f**3 - 40363458*f**2 - 40156740*f = 0.\nAnswer: -130, -1, 0, 786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 148\/(-36) - (7 - (10 + 1)). Suppose -4*d + 120 = 4*g, -4*g - 3*d - 118 = -9*g. What is the smallest value in g, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 - 116. Let i = 324 + z. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -64*j**2 - 4470*j + 690. Determine u(-70).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107557 - -107557.100941. Let y = -0.101 + j. Round y to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p\/(p\/(p*p**(-21)*p))))*p**(-2\/5) assuming p is positive.\nAnswer: p**(-97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 93\/18 - (-4)\/(-24). Let w be 9\/(-8)*r\/(-15). Sort w, -3, 10 in increasing order.\nAnswer: -3, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -639 divided by 213.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 87\/28897 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/714)\/(((-1170)\/9828)\/((-10)\/24))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-72))\/(14\/3 + -5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/54*((-18)\/5)\/((-11060)\/(-1975)).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d - d + 5*d)*(3 - 3 + 2) + (d - 5*d + 2*d)*(-4 - 1 + 4) + 1 - d - 1 - 6*d + 3*d - 3*d + (-12 - 16 + 27)*(129*d + 9 - 68*d - 65*d).\nAnswer: -5*d - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 13 = 17. Let s be 4\/k + (-42)\/(-9). Find the second derivative of 3*r + 1 - 1 + 0 + s*r**5 wrt r.\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4991991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -0.1. Let v = 134 - 138. Which is the closest to -0.01? (a) n (b) 1\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*g - 46 + 12, -5*z + 2*g = 30. Which is greater: -6 or z?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/2688 and 37\/8428?\nAnswer: 809088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 + 102*x**2 + 108*x + 407. Give d(-50).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 7 = -3*m + 2, 0 = m - 2*g - 4. What is the closest to -0.6 in -0.5, m, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q - 12. Let s be r(-6). Suppose 2*i + 2*i = -s. Let a(o) = -o**2 + 3. Let x = -167 + 174. Let p(m) = -2*m**2 + 7. Determine i*p(h) + x*a(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17356 is divided by 8661.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1048*l = -915*l + 10482 - 3034 for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*o - 136 = 74 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfiiiqjflqlqri. What is prob of sequence llf?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*x - 11, 4*p = -2 - 2. Solve -3*d + 7 = 4*k - 7, -d = x*k - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-42)*(-48)\/(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*1\/(-4) + 12\/(-16). What is the tens digit of ((-182)\/(-4) + 5)\/(p\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 6*f - 3. Let a(w) = -w**2 + 4*w - 2. Let b(z) = 3*a(z) - 2*g(z). Let j(i) = -22*i**2. Calculate b(j(s)).\nAnswer: -484*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401514 (base 6) to base 7.\nAnswer: 160603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**4\/5 - 25204*y**3\/5 - 4*y**2\/5 + 25204*y\/5 = 0. Calculate y.\nAnswer: -1, 0, 1, 6301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 + 197. Suppose 2*w - 63 = b. Suppose 0*o + 3*o - w = 0. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 0*g - 1\/2*g**4 + 0*g**2 + 0.\nAnswer: -g**3*(g - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53.768 - 0.232. Let c = u - -54. What is the third smallest value in c, 3\/2, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -4*y + 14*y. Let o be (-2)\/y*-26 - (-52)\/78. Let l(q) = 3*q - 5. Determine l(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1995417115 to the nearest integer?\nAnswer: 44670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 4. Let w be m(-12). Solve -2*t = 2*g - w, 4*t - 10 = -0*g + 2*g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -20.7, -2, 1\/5, 1\/7, -939.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6*-1)\/(4\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - b + 10097 = 35291, 6*f = -b + 37806. Is f a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29522854.4 - -0.08\nAnswer: -29522854.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 697182397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8597 + 10045 - 17221)*(-1 + 1 + r + 0*r + 2*r - r - 5*r - 3*r + 6*r + (2 + 0 - 1)*(r + 0 + 0) - 2*r - 1 + 1 + 3 - 3 + 2*r + r + 3*r - 2*r).\nAnswer: 4263*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.2 (c) -0.045 (d) -22 (e) -3\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**4\/6 - 58124*z**3\/3 - 81379*z**2\/3 + 11624*z\/3 + 23251\/2 = 0.\nAnswer: -1, 3\/5, 23251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y - 42*y + 4 = -6. Let g(a) = 12*a + 2. Let l be g(4). Suppose -l = -o - 2*o + c, -c + 62 = 4*o. Calculate the least common multiple of y and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-645267)\/308)\/((-6)\/20). Let t = 6982 - l. Let g = -1\/124 + -1021\/248. What is the common denominator of g and t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-15))\/(5\/825). Suppose -b = j - 3*j. Calculate the greatest common factor of j and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152*(-13)\/(-624) - (1 + 2)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d + 1\/4*d**4 - 88 + 10\/3*d**3 + 1\/2*d**2. Calculate k(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o - 4. Let d(f) = 9*f + 7. Let n(w) = -4*d(w) - 7*g(w). Let b(a) = 3. Let h(u) = u + 2. Let k(p) = 2*b(p) - 3*h(p). Calculate k(n(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 2:08 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1001010111 (base 2) to base 12\nAnswer: -41b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*i + 3*i + 2 = 0, -10 = 5*q + 5*i. Suppose q = 22*h - 20*h - 4. What is the third biggest value in -9, h, -1\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5033, -10063, -15089, -20111, -25129, -30143?\n\"Answer: 2*u**2 - 5036*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -704*a - 914. Calculate v(-1).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 16*k - 81. Let s be n(-11). Let u = s - -260. Let r = 0.4 + -0.1. Which is the closest to 0.2? (a) r (b) 2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21491038553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(200) + sqrt(16)\/sqrt(72))*6.\nAnswer: -18 + 62*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -8749?\nAnswer: 5\/8749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 958*d + 957*d - 1906*d.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-10))**(-28)*(m**(-5))**(-10\/3) assuming m is positive.\nAnswer: m**(-874\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51164144.\nAnswer: 2, 23, 139033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.7. Let v = -158\/3 + 629\/12. What is the nearest to 1\/3 in -2, v, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(50)*-1)\/((2*sqrt(110) + sqrt(110))\/sqrt(11))*3*4*-2.\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*2\/(-3)*7. Suppose -1 = -5*f - 2*g - 3, 12 = 4*f + 5*g. Let r = f - i. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97108 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2705.57975 - 2706. Let t = -0.42 - d. Round t to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(3*(-11)\/((-1155)\/10))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 + 5*d - 1. Let l be u(2). Let w be -39 + 40 + l\/(-1). Solve 0 = w*x - 7*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + sqrt(80) + 2 + -1.\nAnswer: 2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 24. Let x be f(10). Let w be x\/(-30) + (-6)\/(-180). Which is the third biggest value? (a) w (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9475309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(534\/178*2\/32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -2) + (-28530)\/951.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.61904 decades?\nAnswer: 66.1904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*b + 30 + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.184489 kilometers in meters?\nAnswer: 8184.489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -2\/5 (b) -7 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (239 - 1)*(2 - 1 - 2). Calculate the remainder when 16\/(-28)*z\/4 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2077465 divided by -415493\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -1\/39, 3, -30\/1757, 1?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 729214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 28*u**2 - 90*u + 10. Give f(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 1 (b) 0 (c) 0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z. Let p(b) = 26673848*b. Calculate d(p(j)).\nAnswer: 53347696*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 5 (c) 0 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258, 272, 302, 354, 434, 548, 702, 902?\nAnswer: 1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*q**5*z + 13*q**3*z + 2*q**3 - 2*q**2*z + 10*q**2 - 3*q*z wrt q.\nAnswer: 240*q**2*z + 78*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 less than or equal to -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 10 = -20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 1. Let c(w) = 135*w - 5. Let i(f) = c(f) + 5*y(f). Let k(u) = u. Calculate i(k(z)).\nAnswer: 140*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 - 2163 = -50*m. What is the greatest common divisor of m and 1058?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + (-68)\/3)*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s - 5 + 5 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -26\/9 (b) -5 (c) 65272\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 566 + -562. Solve -4*d - h = 2*j - 2, d + 5*j - 22 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = -0*g + g, -5*g = -2*x + 2. Let t(z) = -6*z**3 - 4*z**2 + 3*z. Let b be t(x). What is the units digit of (-10)\/4*b\/(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 133*l**2 + 4732. Let k(y) = 4*y. Give a(k(w)).\nAnswer: 2128*w**2 + 4732","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -12 (b) -8 (c) 0.3 (d) -4 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -112989.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 14793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*q**3 - 3 - 854*q**2 + 854*q**2 + 7*q.\nAnswer: 41*q**3 + 7*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -503.1 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 26 = -8*q - 4*k, 4*k = 3*q + 11. Suppose m + 30 = -q*r, 3*m + 210 = -2*m - 3*r. What is the hundreds digit of (-4)\/30 - 5676\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -147*q**3 + 6*q**2 - q + 17. Is m(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 9*j + 3. Let m be t(-6). Let d be (-36 + 0)*m\/45. Let y(l) = 13*l**2 - l. Let c be y(1). Calculate the highest common factor of d and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 1539427?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 12:34 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.9 - 0.102?\nAnswer: -59.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p - 1 + 1)*(5 + 2 - 5) + 2 - p - 2 - 2*p + 2*p + p - 21*p - 8*p + 13*p)*(-2 + 0 + 0).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 316812619964433 plus 0.1?\nAnswer: 316812619964433.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*g + 32 - 19 = 130 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -55338488 smaller than -55338487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 978?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssq when three letters picked without replacement from {a: 6, r: 1, b: 4, s: 2, m: 3, q: 2}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3584) + sqrt(3584)*2 + sqrt(3584) - sqrt(616)\/(sqrt(11) + sqrt(44)\/sqrt(4)))\/(-6*sqrt(48)\/sqrt(6)*-6).\nAnswer: 7*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13 - -15)*(-1)\/(-13). What is the smallest value in -0.2, -0.5, 0.1, 1\/3, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 369.25781742 - 377.157822. Let g = 7.9 + a. What is g rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 309.5, -2\/9 in descending order.\nAnswer: 309.5, -2\/9, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*b - 147*b - 321*b + 16380 = 0 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 910629660 to the nearest integer?\nAnswer: 30177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 15*l**2 - l - 14. Let q be o(-15). Let j be (-18)\/(-9) - (45 + q). What is the tens digit of j\/(12\/(-3) - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9410.3 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11950843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*n = 31, -n = 3*n + 12. Let g be (-472)\/32 - (-1)\/(-4). Let y be -3 + p\/(g\/(-18)). Solve y*q - 3*h = -2*q + 40, 4*q - 3*h - 35 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-15 + 8 - -7 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1001001?\nAnswer: -1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 776, 4277, 10104, 18251, 28712, 41481, 56552?\n\"Answer: -u**3 + 1169*u**2 + u - 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*u = -6*u + 8, -3*g - u = -8. Is 12\/7 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 26*d - 31. Let m be c(-26). Let z = 36 + m. Is ((-4 + z - -4) + -4)*2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - -13. Let f(y) = 996*y + 332818. Let r be f(-333). What is the highest common factor of r and x?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*m + 173901 = 173082 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 2153546584.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 638845.937 rounded to the nearest 10000?\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4*2\/(-96)*(92 - 7) and -119\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 564 - 841. Let u = j - -282. What is the smallest value in -15, u, -1\/9, 0.2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 - 45. Let l = -74 + j. Let s = -30 - l. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.1844967t?\nAnswer: 184.4967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-1)\/52)\/((-1)\/(-1))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 266*s - 281*s - 60 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**3 - 8*r**2 - 5*r + 4. Let f be t(-5). Let c(g) = 3*g**2 - g - 187. Let v be c(9). Calculate the greatest common divisor of v and f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/12)\/((-145)\/325 + 16\/(-104)). Let q = 244 - 971\/4. Let 15\/4*f - q*f**2 - o = 0. Calculate f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 11*z**3 + 4*z**2 - 2. Let a(x) = x**3 + 2*x**2. Give -2*a(h) + y(h).\nAnswer: 9*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6*g = -3, -2*q - g = -229. Let d(y) = 8 - 1 - 75*y + 6 + 85*y - y**2. What is the remainder when q is divided by d(8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 6 - 2. Suppose -s*g + 59 = 4*h - 7*g, -2*h + 31 = -3*g. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(sqrt(15)\/sqrt(3)) + 3*sqrt(675) + -5)*-5.\nAnswer: -240*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 635081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11925008 and 2196712?\nAnswer: 83475056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3790715, -3790588, -3790377, -3790082?\n\"Answer: 42*y**2 + y - 3790758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -6.7\nAnswer: -1.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18037 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2) - (sqrt(132)\/sqrt(6))\/sqrt(11))**2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1308 and 1330.\nAnswer: 1739640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73636\/3 + -24545. Factor 0 + 11\/6*c**3 - 3\/2*c**2 - w*c.\nAnswer: c*(c - 1)*(11*c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 - -0.05. Let v = z + -2.96. Let s = 3.00000079 + v. What is s rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142 + 565\/4. Sort i, -1.9, -0.4, 0.4 in increasing order.\nAnswer: -1.9, i, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6055317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, -200, -1089, -2930, -6041?\nAnswer: -10740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 697664 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 11. Let o be (-6)\/(-1)*4\/(-3). Let d be c(o). Let q(v) = v**3 - 6*v**2 + 4*v + 1. Let w be q(5). Sort w, 5, d in descending order.\nAnswer: 5, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-3 - 2 - 4)\/(-3). Let t(y) = 57*y + 173. Let f be t(c). Factor -2*h**3 - 1\/2*h**f + 2*h + 1\/2.\nAnswer: -(h - 1)*(h + 1)*(4*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from {t: 5, f: 5, s: 2, c: 3, i: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 7*r**6\/120 - 19*r**3\/6 - 7*r**2\/2 + 6*r. Let b(i) be the first derivative of k(i). Find the first derivative of b(h) wrt h.\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -341151996 by 1347.\nAnswer: -253268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.4 - -35.6. Let y = 74 + -37. Let q = a - y. Round q to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2935 divide 651845890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -786, 0 in descending order.\nAnswer: 0, -6, -786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y + 26. Let t be i(-9). Does 3 divide 2\/(-2*2\/32)*t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 7*z + 4. Let n be g(7). Let d = 5 - n. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-2)\/sqrt(5)*4.\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1738, -3977, -7696, -12883, -19526?\nAnswer: -27613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b - 39. Let k be d(-8). Solve u + 4*u = -a - 3, -3*a - k = 4*u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/7))**(2\/59) assuming k is positive.\nAnswer: k**(20\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*u - 2*x - 45, -3*x = 0. Let n = u - 5. Is (-2)\/(-8) + 11\/n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.9, -0.3, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -29*s - 3. Let n(g) = 10*g + 1. Let d(l) = 8*n(l) + 3*z(l). Let v be d(-3). Suppose -6*o + v = -o. What is the highest common divisor of 20 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98\/(-3))\/7*(-77220)\/(-3960)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5592 + 17514*q - 62218*q + 2815 + 537 + 36*q**3 + 55820*q**2 + 64*q**3.\nAnswer: 4*(q + 559)*(5*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrqrrrrrrq. Give prob of picking 2 r.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 33, 149, 383, 777, 1373, 2213?\nAnswer: 3339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/(-11))\/35*3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoaooooaoao. What is prob of sequence oaaa?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -5, -102, 4 in descending order.\nAnswer: 67, 4, -5, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 v when three letters picked without replacement from {m: 4, r: 2, v: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*g - 195780, -g - 5337 + 54296 = -3*m. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from enieenuuuqiinuqueueu. What is prob of sequence iiee?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 58.24388ml?\nAnswer: 0.05824388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 0*l**3 - 32944 - 2*l**3 + 32942. Let m(h) = h**3 + h**2 - 1. Calculate f(q) + m(q).\nAnswer: -q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-9))\/(1\/(-1437)). Suppose 4*r - 29 = -3*s, 0 = -2*s + 3*s + 5*r - 28. Suppose 2*j + 4*d = 950, 0 = j + d + s*d - b. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/3*12\/(-5). Solve -4*u = -0*u - l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*l = -0*l + 23, -3*f - 5*l = -34. Suppose 3*m + m + 4*r - 24 = 0, 0 = 3*m - 5*r + 14. Suppose -f*b + m*b + 12 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -12 - 4) + -4 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 9 - 6 - 131*h**2 - 134*h**2 + 270*h**2 to a + v*h + x*h**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379059?\nAnswer: 3, 29, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 12:15 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n = -j - 88, 450 = -5*j + 5*n. Let r be (-5110)\/j + 2\/(-13). Calculate the greatest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -149 and -766474.6.\nAnswer: -766623.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -66, -112, -176?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 4. Let p be x(6). Suppose 3*v - 5*s = v + 14, s + p = 0. Solve 2*o + v*o + 16 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 0. What is the least common multiple of 2\/10 + 645\/25 + -4 and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9049109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s + 31. Suppose 0 = 3*d - 7*d - c + 52, -13 = -d - 5*c. What is the tens digit of z(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41981*f**3 + 35931*f**2.\nAnswer: -251886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f + 2. Let w(z) = 7*z + 2. Let c(y) = -3*m(y) + 2*w(y). Suppose 5*j = 31 + 19. Suppose j*t + 6 = -34. Give c(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-1*1)*64*(-1526)\/27904?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -10*l**3 + 8*l - 2. Let b(v) = 19*v - 24*v + 1 + 0*v + 7*v**3 + 0*v. Calculate -8*b(g) - 5*t(g).\nAnswer: -6*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + -1. List the prime factors of r\/4 - (-15 - -3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 8079.01326926.\nAnswer: 8079.01326926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14665b (base 12) to base 2\nAnswer: -1010011110000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -106 + 106 - 75*y in the form i*y + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16080 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (6 - (0 - 3) - (9 - -2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 3 + 0)*(-2 + 3 + 1) + 0 - 4 - 1)*(307*c**2 - 4*c + 318*c**2 - 623*c**2 - 2) to the form r + q*c + b*c**2 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35173, 68473, 101771, 135067?\nAnswer: 168361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 0*j + 0*j**3 + 0*j**4 - 1\/20*j**5 - 3*j**2 + 0*j**6 - 1\/105*j**7 + 0. What is the third derivative of n(f) wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 306 + -178. What is the greatest common divisor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (4 + -1 + 1 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3579231361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 21220*d**2 + 22535625*d - 44986410.\nAnswer: 5*(d - 2121)**2*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*o = 6, 2*y - 3 + 1 = -3*o. What is the closest to -4 in -1\/4, 0, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000013941 rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 51\/(-172) + (-3)\/(-12). Let p = 3493 + -3493. Let i = -0.04 + 2.04. What is the closest to p in t, 4, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 38. Let x be ((-8880)\/u)\/((-1)\/3000). What is x rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lndllrraln. What is prob of picking 1 r and 1 n?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 78 = 32. Let x = c + 39. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41071 is divided by 1142.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1061 + 1 + -1 + 1. Suppose -4*c + 32 = 80*u - 76*u, -4*c = u - 38. Calculate the remainder when (0 - i\/25) + (-4)\/c is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798*m - 270 = 708*m. Let l(y) be the third derivative of 26*y**2 - 1\/36*y**5 - 1\/6*y**m + 0*y + 0 - 7\/72*y**4 - 1\/360*y**6. Find v, given that l(v) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -160 - -158. Sort 5, z, 2, -3 in decreasing order.\nAnswer: 5, 2, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402804561 to the power of 1\/2, to the nearest integer?\nAnswer: 20070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/3*(-27)\/18. Suppose -4*j = q*v - 476, 3*j + 3*v - 357 = 2*v. Suppose j = -4*n + 319. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 12*f**2. Let n(b) = -b**2 - b - 6. Let w(y) = 1. Let s(v) = n(v) + 5*w(v). Let d(k) = 6*k**2 + 5*k + 5. Let l(z) = d(z) + 5*s(z). Calculate l(j(u)).\nAnswer: 144*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 5153926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7005*d**5 + 7000*d**4 - 14015*d**3 + 10*d**2 = 0 for d.\nAnswer: -2, 0, 1\/1401, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13781 is divided by 263?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/119, -256, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -25 (b) -2\/11 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 6 + 20)*(4*r - 5*r + 0*r - 1 - 3*r + 1 + r - 2*r + 0*r + (4*r - 2*r - 4*r)*(1 - 2 + 3)).\nAnswer: -144*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwagwwggwgaggwgwagag. What is prob of sequence wg?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/(-2)*3 - (933827\/(-34) - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -k - 10, 4*k + 2*g - 5*g = 11. Suppose -k*n + 14 + 6 = 0. What is the units digit of n + -3 - (-2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/((-13)\/(-104)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*z + 53*z - 221*z + 42*z as y + w*z and give w.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**2 - 313*h + 147. Calculate the remainder when z(-78) is divided by 44.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161, -187, -5, -21.\nAnswer: -187, -161, -21, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 - 2*a**4 + 0*a**4)*(-44 - 8*a + 44) + 2*a**5 + 0*a**5 - 3*a**5.\nAnswer: 7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 506 (base 10) to base 4\nAnswer: 13322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*f**2 + 312 - 312 + (15 - 20 - 14)*(2*f**2 + 3*f**2 - 6*f**2).\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12755)\/(-3) + ((-220)\/33 - -6)?\nAnswer: 3, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 10 = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 10*o**2 - 17*o - 12. Determine r(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/471 - -1399\/3297. Let l = -27.8 - 0.2. Let v = 28.2 + l. Which is the closest to -1\/5? (a) 1 (b) g (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bibuui. Give prob of picking 1 b, 1 i, and 2 u.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a kilogram in grams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + 78*a**2 + 8*a - 20. What is i(39)?\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fggk when four letters picked without replacement from {k: 10, c: 2, g: 6, f: 2}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*x - 16. What is the common denominator of 53\/13 and (-3)\/x - (-1434)\/63?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h. Let s(b) = -b**3 - b**2 - 2*b + 7*b**2 - 2 - 2*b**2. Let q be s(2). Let l(k) = -k + 2*k**q + k. Determine l(j(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3920 by -70.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 - 16*i**2 + 6*i + 8. Let p be f(-9). Calculate the highest common divisor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5 = -4*i - w, 15 = 5*i - w. Solve 0 = -m + 5*q + 11, 0 = i*m + 2*m - 3*q - 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*k - 65 = 0, y - 4*k = 2*y - 35. Let w be (2\/1 + -2)\/(-2). Suppose -5*o + y = -w. Sort -0.3, -3\/5, o in descending order.\nAnswer: o, -0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lailiilrill. Give prob of sequence ar.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0598892 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.715 + 1.285. What is the closest to 0.1 in -16, -1\/3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and -16118.\nAnswer: 386832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -407 divided by 180\nAnswer: -407\/180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**2 - 1\/112*l**8 + 0*l**4 - 1\/20*l**5 + 0*l**3 + 0*l + 0 + 0*l**7 + 0*l**6. Find the third derivative of w(f) wrt f.\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/20*-4*1870\/(-4). Let m = 1114 + n. Is 37 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 4*v - 3*v - 3*v - 4 + 4 - 4*v + 2*v + 0*v + (-3 + 1 + 4)*(2*v - v - 3*v) + (3 + 1 - 1)*(5*v + 4 - v - 2).\nAnswer: 4*v + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111)\/(-15)*-415*(-2)\/166.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621622603?\nAnswer: 7, 3727, 23827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 30*w - 98. Let j be m(-26). Solve -2*y**3 + 14*y**3 - 2*y**2 + 8 - 4*y**2 - 6*y**4 + 2*y**3 + j*y**3 - 24*y = 0.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4 = 5*d, 5*d - y = -4*y - 12. Suppose -2*x + 4*x - 6 = d. Suppose 4*h = -4*i + 6*h + 186, i = x*h + 34. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87718 and 366?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 17*q**2 - 2*q + 9. Give s(17).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -940568 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90\/5039 - -5572324\/45351. Let g = -123 + x. Which is the second smallest value? (a) 3 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 = -9. Suppose -2 = s*o - 2*i, -4*o - 4*i = i + 9. What are the prime factors of (o - -11)*4\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -598846 divided by -2747.\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d + 3*d + d**2 - 2 + 2*d + 0*d**2. Let a(r) be the second derivative of 1\/12*r**4 + 2*r - 1\/2*r**2 + 1\/6*r**3 + 0. Determine -4*a(f) + 2*z(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -60.81 (b) -0.1 (c) -115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 5*s + 4. Let t be n(-5). Let b be (45\/20)\/((-3)\/16). Let z be (-1)\/(t + 45\/b). Put 0, -2, z in descending order.\nAnswer: 0, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Suppose 0 = z + 5, -5*f + 31 = -3*z - 134. Let k be 24\/f - 2\/5. Let y = 0 + 1. Which is the smallest value? (a) y (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-30) + 9\/(-2) + 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100101110101 (base 2) to base 15.\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 9 = -3*l, 14*l - 3*c - 7 = 13*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - (2 - (1 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/6 and 5\/49.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22110 = -5*l + 4*z - 3735, l - 3674 = z. Suppose -17*i + 4*i = -l. What are the prime factors of i?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + u + 55, 4*n + 14*u - 18*u = 44. Suppose -14*b + n = -13*b. What is the remainder when 125 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -98?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -6. Suppose -5*a = 2*c - a + 6, c + a - o = 0. Suppose -3*s - 3 = -0*s. Put c, s, -3 in descending order.\nAnswer: c, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006348 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3742095191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1679469999 to the nearest integer?\nAnswer: 40981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3237*m + 3220*m + 17289 = 0. What is the smallest common multiple of m and 18?\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.5604 and -2?\nAnswer: -9.1208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 933.578315 to 0 dps.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*d - 91*d + 317376. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - 345 + 2078*y**3 - 338 + 683 + 802*y**3 to the form i*y**2 + r*y + o + z*y**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 10. Let j be x(7). What is the third derivative of -10*b**2 + 796*b - 796*b + 4*b**j wrt b?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h**3 - 2. Let p(x) = -44*x**3 - 11. What is 2*p(r) - 11*y(r)?\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111100011 + 1100110?\nAnswer: -10101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6934.\nAnswer: 2, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*p = -1186 - 315, -3*y + p - 1142 = 0. Let m = 85277\/225 + y. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287890 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/(-4) + 1\/2. Let m be ((-4)\/(-6))\/(4\/g). What are the prime factors of -5 - -3 - 11*m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14641 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Put -2, 4, c in increasing order.\nAnswer: -2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -20.9986. Round s to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 392*h**2 - 1484*h + 1880.\nAnswer: -4*(h - 1)*(h + 5)*(h + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3456 and 63.\nAnswer: 24192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.76781525 to one dp.\nAnswer: -53.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -323449\/9 + 35749. Let k = r - -190. Let u = -9715 + 9715. Which is the nearest to -2? (a) u (b) k (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1890*k**4 - 3032*k**3 - 104*k**2 + 436074.\nAnswer: -45360*k - 18192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 265806113735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2\/(b*b**(4\/7)))**(1\/3) assuming b is positive.\nAnswer: b**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-10) + (-4)\/(-20). What is the biggest value in 0.3, -1, 30, z?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-143)\/26 + 0.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 - -0.23. Let v = -151 - -151. Which is the third smallest value? (a) z (b) 2\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129560*j**2*k**3 - 62*j**2*k**2 + 38*j**2*k + j + k**2 wrt k.\nAnswer: 777360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*w + 12 = 0, -62*s + 3*w = -61*s + 27. Let z be ((-2)\/(-4))\/((-4)\/18). Which is the fourth smallest value? (a) 1\/5 (b) z (c) -4\/7 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -401?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 45 - 39 = 0. Suppose j - 5*x - 45 = -4*j, -5*x - 5 = 3*j. What is the second derivative of 7*o**5 + o - 5*o**j - v*o**5 + o wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.67 times -72707?\nAnswer: 1720974.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (44\/6)\/(1\/(-3)). Let i = -10 - v. Let f be i\/2 + 0 + -1. Which is the biggest value? (a) f (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 16. Suppose 5*t + 9 = h, 6*h + o = h. Let d be (-6)\/(-27) + t\/9. Solve -8 = 2*i + 2*m - 2, 5*i - 4*m + 24 = d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18810 and 189772.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*s = -1293 + 460, 0 = -a - 2*s + 277. Suppose v = -3*b + 121, -a = -2*v - 5*b - 41. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11724 + 179510 + 76*h - 35009.\nAnswer: 76*h + 132777","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(((-6)\/(-48))\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 2*w - 8. Let b(g) = -2*g**2 + 3*g + 9. Let y(a) = -4*b(a) - 5*r(a). Is y(3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + -3 + 134\/24 and (4 + -11 - -9)*(-34)\/(-64).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008228 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21775*s**3 - 21781*s**3 + 43561*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-957)\/(-9))\/((-5)\/(-15)). Let i be (v\/6 - 2) + 3\/(-18). Let d = -32 + i. Calculate the highest common divisor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 5*u**2 + 9*u**2 - 4*u**2 - u**3.\nAnswer: -u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (2 - 0 - -6). Suppose m - 3*m = -w. Solve 2*n = -3*n - s + 1, -2*n + m*s = -22 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k = 418 - 594 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -6*o**2 + 0*o**5 + 0*o - 7\/8*o**4 + 0*o**3 + 0 + 1\/10*o**6. Find the second derivative of s(b) wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/12 + (-4)\/6 + -12. Do -2 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -53860, -215210, -484092, -860506, -1344452, -1935930, -2634940?\n\"Answer: -53766*s**2 - 52*s - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {p: 1, f: 1, m: 1, x: 6, z: 3, d: 4}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027 times 903362.8?\nAnswer: -24390.7956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004594706217 rounded to 7 decimal places?\nAnswer: -0.0045947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*y**2 + 83*y**2 - 25*y**2 - 27*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4\/7 - 201*g**3\/7 - 765*g**2\/7 - 81*g = 0. What is g?\nAnswer: -63, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162 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: Is 79772\/125 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -0.3, 429, 0.1, -0.02.\nAnswer: -0.3, -0.02, 0.1, 0.9, 429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 16. Let m(p) = -p**2 - 11*p + 20. Let b be m(-13). Let y = b - x. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 7:38 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 142342210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 7*g**2 - g + 8. Let z be i(7). Let a be (z\/2)\/((-3)\/6). Let q be a + (7 + -2 - 2). Solve 4*m - 20 - 4 = q*h, -8 = -2*h - 4*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 158. List the prime factors of x.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8354, 2, -2, 0 in decreasing order.\nAnswer: 5, 2, 0, -2, -8354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 817494900 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 11:39 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6 = -12*v + 13*v, 3*v - 3*i + 18 = 0. Calculate the smallest common multiple of 24 and v\/36*-4*96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -6. Let p = -0.12 + 1.12. Sort p, x, -0.2 in descending order.\nAnswer: p, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 48. Let f be i(-22). Suppose 5*x - 2*t = 2*t - 244, 0 = -t - f. Is -51 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 195 + (64\/(-112) - 2*(-6)\/(-28)). Solve -2*k + 5*p - l = -189, -22 = -2*k - 4*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7897206003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2 + y**3 - 6*y + 0*y + 5*y**2 - 1 - y. Let k be h(-6). Solve -k*w - 4 = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3949 - -0.318\nAnswer: -3948.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(486)*-2)*-6.\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.8 - 7. Let f = -44.2 + 39. Let l = f - a. Sort -1, -0.4, l.\nAnswer: l, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -148 and 0.041.\nAnswer: -6.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z - 100. Suppose 2*s + 4*n = -z, 5*n + 0 = 5*s - 10. Let u be (-8 + (-225)\/(-30))*(0 - 0). What is the biggest value in s, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 43*y - 2. Let s(w) = 3*w**2 + 59*w - 3. Let a(i) = -11*r(i) + 8*s(i). Suppose 5*f - p = -2*p + 9, p + 3 = f. Determine a(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2516, 2982, 3760, 4856, 6276, 8026?\n\"Answer: j**3 + 150*j**2 + 9*j + 2356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 2\/9 (c) 6 (d) -4 (e) 1 (f) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 2\/(2 - (-24)\/(-9)). Suppose 0 = -b + i*k - 19, 3*b - 10 - 33 = -5*k. Let t(m) = 4*m - 17. Calculate the least common multiple of t(7) and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*u + 28, g + 23 = 4*u + 4*g. Let h(s) = -s + 4. Give h(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/33795 and 17\/1693505?\nAnswer: 15241545","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3 = 3*u, -5*u - 10 = -8*h + 6*h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -204222 + 8.\nAnswer: -204214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19509 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82)\/(-1148))\/(2\/(-1708)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6*5*-3. Let o(f) = f - 7. Let s be o(w). Let l = -5 - -4.9. Which is the nearest to l? (a) 1\/5 (b) s (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 25*n + 26. What is w(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -10.\nAnswer: -10, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 875242 divided by -7?\nAnswer: -875242\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 0*c**2 + 13\/3*c**3 + 6*c - 14. What is the derivative of m(b) wrt b?\nAnswer: 26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*b + 165, -2*b + 6*s = 3*s - 75. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 + 8 + -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -41, 4.\nAnswer: -41, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**2*z - 4403783*o**2 + 378912245*o*z wrt o?\nAnswer: -6*z - 8807566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*sqrt(77)*-5)\/((-1*sqrt(110))\/sqrt(10)).\nAnswer: 1 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/605664 and 55\/5608.\nAnswer: 605664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13740 or -13738?\nAnswer: -13738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1322*q + 124273. Calculate c(-94).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -c - 40, 0 = -4*u + u + 5*c - 52. Let n = u + 12. Solve -3*a - 5*z = -7, -5*a + z = 2*z + n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = c + 104, 0 = 5*b + 4*c + 31 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*x + 34*x - 6. Which is smaller: x or -2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1512 and 44478.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 597*u**2 + 66*u - 5.\nAnswer: 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110906*p**3 + 110644*p**3 - 210342*p**3.\nAnswer: 11208*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + (33 - 41)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57 and 152.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 5 + 15. Let v be 5\/2*(h - (-65)\/(-25)). Which is the biggest value? (a) -2\/5 (b) 0 (c) -5\/3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggn when three letters picked without replacement from gggdogon?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 13 + 61 = j, -2*d = -j + 44. Let t = j - 46. Suppose -3*h + 0*h - 6 = 0. Does h = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/7)\/q*(q*q\/q**(-3\/4))\/q*q*q)\/(q\/(q**(1\/2)*q*q)*(q*q**(-2\/13))\/q)*((q**(-1\/8)\/q)\/(q*q**(-3)))**(23\/5) assuming q is positive.\nAnswer: q**(32241\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 43*k + 47*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10876? (a) 4 (b) 5 (c) -3 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*d**4 - 419*d**3 + 24299*d.\nAnswer: 228*d**2 - 2514*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*n + 215, 3*w - 4*n = 5*w - 124. Let i = 46 - 32. Calculate the greatest common divisor of w and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4027057297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -24?\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5057 divided by -389.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.93473 milligrams in grams?\nAnswer: 0.02793473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/326909 and -25\/452?\nAnswer: 1307636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**2 + 2*l**2 + 7*l**2 + l**2 + l**2.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39690)\/(-60))\/49 - 7?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 3*q + 8, -2*q - 6 = 3*k + 2*q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -778*l + 59439. Give v(69).\nAnswer: 5757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3685398?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1344026 and 7472.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n**2 + 0*n**2 + 0*n**2)*(2*n - 6*n + 2*n)*(-1 - 2*n + 1) to the form z*n**2 + o + l*n**4 + m*n + f*n**3 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*z + 18, -3*l = z - 3 - 7. Which is bigger: -9\/4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 - 289*a**4 + 557*a**3 + 537*a**4 - 249*a**4 + 690*a**3 + 2 to the form j + v*a + p*a**3 + z*a**2 + r*a**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 6*p - 7. Let w be (-14 - -21) + -4 + 0. Let n be f(w). Find the third derivative of -5*j - 9*j**n + 143*j**3 - 121*j**3 + 5*j wrt j.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1355 - -3.\nAnswer: -1352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*n**4 - 10*n**3 + 24*n**2 + 53416*n wrt n.\nAnswer: 324*n**2 - 60*n + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -240.09 - -239. Let x = 39.17 - 39. Let p = a + x. Round p to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((1*sqrt(660) - sqrt(660))*4 - sqrt(660))\/sqrt(12))\/((sqrt(11) - (sqrt(11)*-1 - sqrt(11))*-1 - sqrt(11))*-2).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8 = -3. Let p be 2\/(x*-2) + 1. Let b(z) = -z + 3. Let j be b(p). Solve j*i = -2 - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.5 + 17. Suppose 3*y = 2*m - 3, -y - 1 = m - 5. Suppose 12 + m = -3*o. What is the biggest value in q, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7639 + -7637. Solve -q*f - 5 = b, 26 = -8*f + 3*f + 2*b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*j - 2 = -0*j, -3*k = j - 7. Suppose -2*n + 14 = 5*x, -k*n = -3*n + 5*x - 8. What is the smallest value in n, 1, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*r - 25 - 13 = 0. What is the third smallest value in r, 0.1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 8) in base 15?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2447\/41021 - -2\/2413. Suppose 4*j = -2*s - 3 - 1, 0 = j + 4*s + 8. Which is smaller: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-12)*-4754 + 6\/(-18). Suppose 7*p - q = -2*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 13*i. Let t be d(-1). Let x = t + 30. Suppose 4*w = 3*w + x. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**5\/10 + 11*n**4\/12 + 3*n**3\/2 - 20*n. Let g be l(-5). Let m be (8\/g)\/((-2)\/30). Solve w + w = m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 518787334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 331 + -305. Let p = n + 161. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-60)\/12*(-8117)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 7. Let k be r(8). Which is the closest to 0? (a) k (b) -10 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 2*l + 105 = -16*u, -4*l = 2*u - 26. Find the third derivative of 12*p**2 - p + p - u*p**3 - 15*p**2 + p**5 wrt p.\nAnswer: 60*p**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 y when three letters picked without replacement from {y: 4, c: 7}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2123+-5757.86\nAnswer: -3634.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9120 and 912?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330 (base 5) in base 9?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2305*y - 2297*y = 22 + 154. Solve 0 = -4*i + 2*m + y, -m + 2*m = 3*i - 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1*sqrt(7) + 2 - sqrt(7) - sqrt(7)) + sqrt(7))**2*-3.\nAnswer: -97 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 104900000 to the nearest 1000000.\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 7\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 805 and 147840.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 + 106 - (-1 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -832.445.\nAnswer: -332.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*9\/252*-4*(-112)\/64?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10368817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4104 and 17556?\nAnswer: 316008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*t + 618*t - 308*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -853\/106 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (201\/(-335))\/(((-2)\/(-4))\/((-15)\/2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 5*o**2 - o + 5. Suppose h + 5 = 2*h. Let w be i(h). Let u(v) = 234*v**2 - 233*v**2 + 4657 + v - 4667. What is u(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 1\/6 (c) -2 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)\/x)\/x**(1\/6)*x**(-6)*x**4*x)**(-1\/15) assuming x is positive.\nAnswer: x**(43\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2304882 and 32268348.\nAnswer: 32268348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*j - 1. What is the second derivative of 31*q - 4*q**j - 28*q + 16*q**5 + 4*q**2 wrt q?\nAnswer: 320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9883*w + 9669*w + 4280 = 0 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 88561a5 - -13?\nAnswer: 8856208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3135.22*198\nAnswer: -620773.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654108?\nAnswer: 2, 3, 7, 13, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 2 + 0 - 1)*(-1 + 1 - b).\nAnswer: 4*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1088316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 1097752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -482488270 + 22568270. What is h rounded to the nearest 1000000?\nAnswer: -460000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 5:41 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.1851 (b) 4\/7 (c) 1\/4 (d) 3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80\/617 - 82267\/11106. Calculate the common denominator of 83\/2776 and u.\nAnswer: 24984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*b + 3*t, 2*t = b + 4*t + 2. Suppose -y = 5*c - 0 - 1, -3*y + 3 = 3*c. Suppose -p + 9 + 0 = c. Calculate the highest common factor of p and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 39\/(-12) - (-2)\/8. Which is the nearest to -2? (a) 0.3 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -56, -130, -234?\n\"Answer: -15*n**2 + n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4792*v - 2 - 4781*v + 9571*v. Let o(p) = 5*p + 7. Give -3*o(j) - 8*x(j).\nAnswer: j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2099, -4477, -6855, -9233, -11611?\nAnswer: -13989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/44 - -67\/132. Let r = -0.22 + -0.08. Which is the third biggest value? (a) -3 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/80964 and 77\/13096.\nAnswer: 265076136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*f - 21. Calculate the least common multiple of f and 6\/(-21)*(-21 - 7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 96, 40, -68, -246, -512, -884, -1380?\nAnswer: -2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.923 - 0.077. Which is bigger: 131 or a?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 305747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 12635*c**2 + 68*c**4 - 3*c**3 - 2 - 12634*c**2 - c as u + p*c**4 + q*c**3 + k*c**2 + s*c and give p.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) 0 (c) -12 (d) -0.4 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*a + 45*a + 50. Solve -8*z - 11 - a = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 6) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 + 29. Let y = 38 + i. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-190)\/(-210))\/(3\/63).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2 + 11220*a - 33696 = 0. What is a?\nAnswer: -2808, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 - 17*r**3 + 23*r**3 + 9 - 2*r - 2*r**2 to b*r**3 + n*r**2 + o*r + l and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13556352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -12. Suppose -14 = w - 3*t, r = 3*t - 0*t. Let k(y) = -2*y + 2. What is the lowest common multiple of k(w) and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112112002022001 (base 3) to base 7.\nAnswer: -122411512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(-1 + sqrt(300) + -2 + 3 - ((sqrt(300) - -4*sqrt(300)*-2 - sqrt(300)) + -2)) + 4)**2.\nAnswer: 180*sqrt(3) + 24301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdzaddiaaai. Give prob of sequence zddd.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 10:13 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11955644 or 11955645?\nAnswer: 11955644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2613747 litres in millilitres?\nAnswer: 261.3747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5a10 (base 16) to base 5\nAnswer: -1214211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4099 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1\/9 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 44.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -d + 17, -4*d = 2*o - 110 + 42. What is the third derivative of t**2 + 5*t**3 + 4*t**3 - d*t**2 wrt t?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 461*f**4\/12 + 627*f**2\/2 + 363*f. Differentiate h(a) with respect to a.\nAnswer: 922*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 19493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 14*p**2 - 37*p - 28. Let r be f(17). Suppose -r = 5*a - 1195. Calculate the remainder when a is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/634 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.2, 38841609, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62174646 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 13 + 1 = 0. Let u(x) = j - 3 + 2*x. Let g(q) be the third derivative of q**5\/60 + 4*q**2. What is u(g(w))?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + 6.94. Let x = u + -6.4. Let g = x + 0.4. Which is smaller: g or 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005809 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 46 + 19 = 0. Let t = -11 - -62. Calculate the remainder when t is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -12*o**3 - 6*o**2 - 5*o - 7. Let i(v) = v**2 - 47*v + 5. Let a be i(47). Let h(s) = -13*s**3 - 7*s**2 - 6*s - 8. What is a*h(y) - 6*t(y)?\nAnswer: 7*y**3 + y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + g = -5645, 3*x = 27*g - 25*g + 4235. Is 40 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41\/2 + -455\/22. Which is the closest to 0? (a) y (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -1\/10*c**6 + 0 + 1\/3*c**3 + 3*c + 0*c**2 + 0*c**5 + 0*c**4. Find the second derivative of z(v) wrt v.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2145)\/7722)\/((-10)\/(-8))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - -0.9. Which is the nearest to s? (a) -1\/4 (b) -3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225636339 is divided by 75212110.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 22. What is the biggest value in -0.1, o, 1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 0*d**3 + 0 - 1\/10*d**6 + 1\/2*d**4 + 3\/20*d**5 + 0*d**2 - 60*d. Solve c(y) = 0 for y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 10*q**2 + 15*q - 13. Suppose -o + 0*o + g = -13, 0 = o + 5*g - 1. Suppose -5*w + 4*w + o = 0. What is the units digit of c(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 7, v: 4}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22022 + 22020.2. Put -3, -0.5, j, -0.3, -0.4 in ascending order.\nAnswer: -3, j, -0.5, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 2*g + 38. Give w(12).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-356)\/915 + (-2)\/(-5). Let b = u - -173\/915. Sort b, -0.5, -0.1 in descending order.\nAnswer: b, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13304.18 rounded to the nearest ten?\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 6*o**2 - 6*o + 9. Let w be z(-7). What is the closest to -1\/2 in 0.3, w, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(3\/4)\/y))**26\/(y**(2\/11))**21 assuming y is positive.\nAnswer: y**(631\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*y + 3*g, -5*y + 2*g + 2*g = 20. Suppose 5*l = -5*r + 2*r - 7, y = -5*l - 4*r - 11. What is the hundreds digit of 2 - ((l - 0) + -133)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18085*t**3 + 2*t**2 - 9373*t.\nAnswer: -108510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (3 - -2) + 1. Suppose 355 = 5*i - n*k, 2*i - 142 = -0*i + 2*k. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 7*u**2 - 2*u + 6. Suppose 3*v - 21 = -0. Let g be n(v). Round g to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523860829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65504 (base 7) to base 11.\nAnswer: -11332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96384.95 tonnes in nanograms?\nAnswer: 96384950000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f - 25 = i, 5*i = 3*f - 69. Let w(t) = t**2 + 4*t + 6. What is the remainder when (-9)\/(-21) + 464\/f is divided by w(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654251 (base 9) in base 6?\nAnswer: 12210331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(891) + 1)**2 + sqrt(891))*3.\nAnswer: 162*sqrt(11) + 5352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 5*p**3\/6 - 2*p. Let i(c) = 11*c. What is -6*i(h) + 13*y(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, d: 3, x: 4, w: 1, k: 2, p: 1}. Give prob of sequence xpdd.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 - 2*d**2 + 3*d**2 + 2 + d**2. Let g(y) = -6*y**2 - 3. Let v(p) = 2*g(p) + 3*h(p). Let a(s) = -2*s. Give a(v(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 189*w - 68*w + 189*w - 71*w + 130*w + 206 wrt w?\nAnswer: 369","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2)**6\/(s**(-2\/11)*s\/(s*s**(-5\/2))) assuming s is positive.\nAnswer: s**(213\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence geg when three letters picked without replacement from {g: 2, x: 8, z: 1, c: 4, e: 1}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 61. Suppose -g = -2*a + 3*a. Let n = -21 - a. Calculate the remainder when 2 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*n**3 + 8 + 11*n**3 - 8.\nAnswer: -22*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -22\nAnswer: -29\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7721)\/(-35) - 2\/(-5). Suppose -95 - z = -4*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 2\/3 (c) 15 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + 107 + -43 + 45.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18848 = -242*m - 254*m for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-220)\/770 - (-2)\/7. Factor 2\/11*q**3 + j + 0*q**2 - 2\/11*q.\nAnswer: 2*q*(q - 1)*(q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f + 10. Suppose 6*l + 2*x = 2*l - 104, 5*l + 100 = 5*x. Find the common denominator of 77\/4 and (-16)\/l + f\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*n = b + 24, 0 = 3*n + 9. Calculate the remainder when 34 is divided by (-1)\/(b\/54 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 45 + s + 58 + 57 - 405 + 240. Let l(m) = -3*m + 1. Suppose 3*v - w - 13 = 0, 4*v + w = -2*w. Let i be l(v). Give u(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3289? (a) -3 (b) 25 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 4*q**2 - 3*q - 1. What is t(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79834 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -196464, -196455, -196440, -196419, -196392?\n\"Answer: 3*w**2 - 196467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -195733 (base 10) to base 8.\nAnswer: -576225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 0. Let s(k) = 4*k - 4. Suppose q = -8*c + 13*c - 54, 3*c - 34 = q. Let t(m) = m - 1. What is c*t(u) + h*s(u)?\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 4*k = 2*v + 5, 5*v + 22 = 3*k. Which is smaller: -0.09 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*w**3 + 28*w**2 - 101*w**2 + 29*w**2 - 5*w**6 wrt w.\nAnswer: -600*w**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 15*h. Let y(p) = -13*p - 4*p - p + p. What is f(y(j))?\nAnswer: -255*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 8*a**2 - 2*a + 11. Let y be x(8). Let c(t) = t**3 + 6*t**2 + 6*t + 3. Let w be c(y). Is w + ((-546)\/(-2))\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 124*v**2 - 2. Let d(i) = -5*i**2 + i - 40. What is d(w(h))?\nAnswer: -76880*h**4 + 2604*h**2 - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (2 + 9 - 5) + 1 - (-13 - -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 5*x = -2*z - 17, 0 = 3*x - 3. Let c(s) = 5*s**2 - 3*s - 3. Determine c(z).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - 1) + (-26 - (-4 - 12)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -3 + -5*3. Let u be ((-6)\/b)\/(2\/90). Solve u = -5*l - 3*k, 0*k - k = l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from wwwqlqwqqllqwqlwwql.\nAnswer: 49\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e07957 + -3?\nAnswer: -1e0795a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (2 - -381)\/(25\/(-15) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1320\/(2228\/(-18360) - (-90)\/765). Round x to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 66\/(-54) - 278412\/(-54). Let w = -3201877\/621 + y. Is w at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/87 + 229\/1392. Which is the nearest to z? (a) -0.1 (b) -4\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 5, 3, -1 in decreasing order.\nAnswer: 16, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 12*d - 21 = 0, 3*d = -549*f + 547*f + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23612, 94275, 212048, 376931?\nAnswer: 588924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 75500 = -3*l. Round l to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4428 divided by -369.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1)\/(-2) - (16 + (-1820)\/40) and 3375.\nAnswer: 6750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/1356 and 13\/12430.\nAnswer: 74580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211152.\nAnswer: 2, 3, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*j**2 - 14*j + 5*j + 0*j + 5*j + 2 + 2*j as r*j + w + v*j**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f - 8 + 14 - 7 - 6. Calculate c(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 - 67 = 2*p. Sort 0, 2, -1, p.\nAnswer: -1, 0, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 860322.8l in millilitres?\nAnswer: 860322800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-18 + (9 - (12 - 10)) - -7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 655\/12 + -335\/6. Which is the biggest value? (a) 4 (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**3 - 3*a - 2 + 3*a**3 - 6*a**3. Let r(n) = -n**2 - 39*n - 76. Let w be r(-37). What is d(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100230023320 (base 4) to base 11\nAnswer: 2519245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 + 0*l**2 + 3*l**2)*(-2*l + l + 5*l) - 87*l**2 + 87*l**2 + 24*l**3 - 4*l**3 + 0*l**3 - l**3 to the form s*l**2 + p*l**3 + n + f*l and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 3 + (-3 + 2 - 1)*(-3 + 2 + 2))*(-1940*c + 996*c + 3*c**2 + 945*c - 497) as s*c**2 + r + f*c and give r.\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.97526g in tonnes?\nAnswer: 0.00001797526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -15*k - 25. What is the hundreds digit of n(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000072616817 rounded to seven decimal places?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 63115200, 63115201, 63115202, 63115203, 63115204, 63115205?\n\"Answer: t + 63115199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-3\/19))\/t**(2\/63))\/(t*t**(-25)*t*t*t**(-1\/3)) assuming t is positive.\nAnswer: t**(28081\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11*s - 184. Let f be a(-17). Find the second derivative of 3*t**5 - 10*t**2 - 31*t**2 - 51*t - 2*t**5 - 2*t**5 - f*t**2 wrt t.\nAnswer: -20*t**3 - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, 0, 6, -2, 9721, -6?\nAnswer: 9721","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4703*a + 4762*a + 1947 = 0 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1256605433 rounded to 4 decimal places?\nAnswer: -0.1257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/30 - 3304\/1680\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*u + 2*u + 14, -3*r - 52 = 4*u. Let z(t) = -6*t + 6. Let h(c) = c**3 + c - 1. What is r*h(n) - 4*z(n)?\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16726, -16616, -16450, -16234, -15974?\n\"Answer: -f**3 + 34*f**2 + 15*f - 16774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 2*b**2 - 6*b. Let r(a) = 82*a**3 - 6*a**2 - 17*a. Calculate 2*f(v) + r(v).\nAnswer: 80*v**3 - 2*v**2 - 29*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 23 = -5*h + 11, -15 = 5*v. Let l = -601 + 597. Which is the second biggest value? (a) h (b) 3\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109555 is divided by 4057.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41177, -82354, -123531, -164708, -205885, -247062?\n\"Answer: -41177*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5175 - -5381. Is w a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, w: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*o**3\/4 + 337*o**2\/2 - 3737*o + 1054.\nAnswer: -(o - 62)*(o - 34)*(7*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - 3*z**2 + 4*z**2 - 2*z**3)*(2*z**2 + 7*z**2 + 4*z**2).\nAnswer: -13*z**5 + 13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**4\/6 + q**3\/2 - q**2\/2 + 7*q. Determine y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5478976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(605) + -1)*3)**2.\nAnswer: 132*sqrt(5) + 5449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4456 = 5*s + 15308, 3*f = 6*s + 32601. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 109285 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*h = 15, 3*g - 3*h = -g + 12. Suppose -g*f + 0 + 22 = l, 5*f - 5*l - 30 = 0. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*k - 20. Suppose -k*j = -2 - 10. Suppose 5*b + 43 = j*f + 14, 0 = 4*f + 3*b. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 711*t - 707*t = -53, -r = -5*t - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 10*z**2. Let j(u) be the first derivative of -u**3\/2 - 37*u + 20. Let r(l) be the first derivative of j(l). Calculate r(m(w)).\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 335 (b) 3 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5037253424.\nAnswer: 2, 7, 3769, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3321 and 607176?\nAnswer: 24894216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111011001101100011010 + -101?\nAnswer: 110111011001101100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/67)\/(4060\/68005)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 6)*(65*g**3 - 3*g**4 + g**4 - 1 - 64*g**3).\nAnswer: -8*g**4 + 4*g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -11 + 861*c**3 + 867*c**3 + 867*c**3 + 6*c**2 - 2597*c**3. Let j(o) = 4*o**3 - 13*o**2 + 23. Give 6*j(b) + 13*p(b).\nAnswer: -2*b**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvq when three letters picked without replacement from odkqvor.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**3\/2 + 153*f**2\/2 + 92*f. Is 9 a factor of z(41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 0 - 14 + 2*v - 4*v + 18 - 10.\nAnswer: -2*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 - 108. What are the prime factors of p(19)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5 = a. Let o(b) = -b. Let q(h) = -5*h. Determine a*q(l) - 2*o(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -896160 * 0.7.\nAnswer: -627312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*32 - 7\/(32\/(-64)*4\/2)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 11*m**2 - 60*m - 91. Determine n(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.4 and 0.04?\nAnswer: 0.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/10 and 2 - (84\/40 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2484, 2486, 2488, 2490, 2492, 2494?\nAnswer: 2496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -581737775 or -581737777?\nAnswer: -581737777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 5*n - 4*n.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (62 + 3 - -4) + -27?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**(-27)*t*t\/(t*t\/(t**(-19)*t)*t)*t*t*t assuming t is positive.\nAnswer: t**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j - 20 + 12 + 5 + 5.\nAnswer: -6*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(343) + 2*sqrt(343))*5 - -4*sqrt(343)*2) + (-2*sqrt(343) + 5 - sqrt(343)) + 5*-2*sqrt(343))*1)**2.\nAnswer: 700*sqrt(7) + 34325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 292825 and 650?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d**2 + 2 - 4 + 2.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-4)*12\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 25*f**2 - 23*f + 3. Let y(o) = -o**3 - 3*o**2 + 2*o - 16. Let c be y(-5). Is v(c) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**3 - 3*t**2 + 2*t - 1. Determine b(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2326.7148us?\nAnswer: 0.00003877858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 4*h**2 - 3*h + 21. Calculate w(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 61244.12ml?\nAnswer: 61.24412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2508 - 5.8315. What is a rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (77*i - 74*i - 66*i - 81*i)*(-3*i + 4*i + 2*i) to t + k*i + w*i**2 and give w.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*u + 9377 - 8574 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3) - (-3)\/5)\/(2936\/52848)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -68 + 16 - -19 - -62\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2189669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = l - 9, -1211*l - 5*k = -1178*l - 137 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 7*h - 16. Let y = h + -12. Suppose 5*g = -m - 2, -g + 3 = y. Solve -8 + m = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2292014469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from nnupknssppstpnkkk.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**2 - 161730*o + 118699760 = 0.\nAnswer: -33064, 718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 193838 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3807, -0.1, 0.4, -16.\nAnswer: -16, -0.1, 2\/3807, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - j - 3. Let n be d(3). Suppose n*a - 11*a = -24. Find the second derivative of -16*h + 13*h**a + 10*h**3 + 7*h wrt h.\nAnswer: 138*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 - 4*f + 3. Suppose 43 = -4*p - 5*j, 3*j - 22 = 4*p + j. Let u = -2 - p. Let r(x) = -x**3 + 5*x**2 + x - 3. Let q be r(u). Calculate v(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1688656 (base 12) in base 11?\nAnswer: -26a2927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 2. Let b(h) = -10*h + 15. Give b(z) - 4*t(z).\nAnswer: -6*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s - 66 = -25*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104352 divided by 12?\nAnswer: 8696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = -8. Suppose m*k = 134 - 32. Find the first derivative of -k*i - 7*i + 15 + 6*i - 5 wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*(0 - 120\/64)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**30*z*z**12*z*z assuming z is positive.\nAnswer: z**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -380*6\nAnswer: -2280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6692520 to the power of 1\/2, to the nearest integer?\nAnswer: 2587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 - 4*h - 3. List the prime factors of a(-3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2896 = 5*i, d - 4*i + 2*i = 711. What is the remainder when d is divided by 104?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o - 5. Let u be q(-7). Suppose 5*x = -d + 470, 3*d = 2*x - 235 + u. Let g = 174 - x. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/22*4\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 3. Let j(d) = -2*d**2 - d - 7. Let l(n) = 4*j(n) - 9*o(n). Let w be l(5). Find the second derivative of -x + 3*x**4 + 6*x - x**w - 2*x wrt x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 190246, 190220, 190188, 190150, 190106, 190056, 190000?\n\"Answer: -3*r**2 - 17*r + 190266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmmpqtmmptpppqpppmt. Give prob of picking 2 p and 2 t.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 674097941 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (933\/6 + 17)*(-190)\/(-3).\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9216 and 44640?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(4\/7)\/i*i*i)\/(i\/(i*i*i*i*i**(-15\/2)\/i*i)))\/(i**6\/(i\/(i**(-1)*i))) assuming i is positive.\nAnswer: i**(-111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -420 * -1.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1594, -2, -274 in increasing order.\nAnswer: -1594, -274, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49197?\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 16\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 150612 divided by 66?\nAnswer: 2282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((10*y + 9*y - 6*y)*(2 + 3 - 3) + 3*y - 2*y + y + (0*y - y + 3*y)*(-4 + 1 + 5))*(3 - 1 - 1) + 5*y - 3*y - 3*y to t + k*y and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.147457 plus -1?\nAnswer: 1.147457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 922\/(-461)*25\/(-15)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68107248 a multiple of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10215455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1590?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.384672 centuries to millennia.\nAnswer: 0.5384672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 0 + 61\/30*h**6 + 0*h**5 + 0*h**4 + 0*h**3 + 81\/2*h**2 - 3*h. What is the derivative of s(m) wrt m?\nAnswer: 244*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 4*g - 2*g)*(-12*g - 7*g**2 + 12*g)*(0 + 4 - 5).\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**4 + 2*p**4 - 11*p**4 + (-2*p - 1 + 1)*(4 - 4 + 2*p**3) - p + p - 2*p**4 in the form n*p + q + i*p**4 + j*p**3 + d*p**2 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**6\/120 + k**5\/60 + k**4\/12 + k**3\/6 + k**2. Suppose 0 = -0*a - 12*a - 12. Calculate o(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1502 + 449. Suppose -571 = 10*b - l. Is b a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*j - 0. Suppose -293*t + 298*t - 15 = 0. What is the highest common divisor of j and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/5 + 1*2. Let w be (2 - p)\/(-2 - -4). Let j = 1 + w. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 - -101. Let m be (0 + 4)\/2 + -2. Let q(x) = -x**3 + x + 1. Let p be q(m). Solve r + h = -p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 9*g + 9*g)*(-3 + 3 - 2*g)*(g + 0*g - 2*g).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85328088\/397 + 214932. Is -1 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 (base 14) in base 16?\nAnswer: -348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/o**0)\/o)**(1\/50)\/((o**5*o)\/o*o*o**(1\/2)))**(2\/17) assuming o is positive.\nAnswer: o**(-324\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-17) - 332\/(-68). Let r(w) = w**2 + 4*w - 7. Let l be r(-6). Suppose 8*z + 21 = 45. Solve z*p = l*v + 19 - 49, 0 = f*v - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 3*h**2 + 4*h)*(4 + 1 - 4) - 811*h**2 + 95051*h - 95051*h.\nAnswer: -814*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1015)\/29*(-34)\/(7820\/(-69))?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a millennium in months?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -c + 20, -3*c - 67758 + 67766 = m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8385 divided by -215?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 10:16 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 24*n - 279 = -35*n. Let i = -6 + 39. Calculate the remainder when n is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/13 - 21675272*c\/13 + 65025798\/13 = 0. Calculate c.\nAnswer: 3, 10837633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -5. Let l(k) = -14*k - 468. Let u(f) = 19*f + 467. Let x(z) = 2*l(z) + 3*u(z). Let r be x(-16). What is the third biggest value in o, 1\/4, r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 7:21 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 - 10*j**2 + j + 9. Let q(u) = 2*u**3 + 9*u**2 - u - 8. Calculate -6*n(x) - 7*q(x).\nAnswer: -2*x**3 - 3*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2\/7*f**2 - 6\/7*f = 0. Calculate f.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615043 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1686830253 times -5\nAnswer: -8434151265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/((-250)\/(-60)))\/(33\/55)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3760 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 v when three letters picked without replacement from ooozootvozozovtt.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (3428 + -3437 + (-2 - (-2 - 0) - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 - 71. Suppose -429 = -o*i + 1053. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 752374481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 12*s**2 - 2*s + 26. Let q be f(12). Let t be ((-3)\/q)\/(2\/56). Let v = -12 - t. What is the highest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r - 123. Let u(o) = -5*o - 61. Determine -6*g(x) + 11*u(x).\nAnswer: -x + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Suppose -5*i = -181 - 39. Calculate the smallest common multiple of i and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*b**2*z**2 + 2*a**3*b*z + 4*a**3*z + a*b**2*z - 67*b**2*z**2 + 3*b**2*z wrt z.\nAnswer: 4*a**3*b**2 - 134*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 96 = -3*f, 0 = -2*f - 0*f + 3*x + 63. Let v = 15 + -27. Let d = v + 30. What is the greatest common factor of f and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19351 + 19041. Let o = 182 - 255. Let x = o - j. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104405 divided by 7?\nAnswer: -14915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9b - 49?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w. Let o be -1*-1*(-8)\/(-2). Let h be (6\/4)\/(3\/o). Let z(v) = 0 - 4 + 4 - 2*v**h. Determine z(q(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 6. Let s(u) = u - 4. Let r be s(6). Suppose 0*c - 5*c = -3*d + 30, -r*d - 2*c = -36. Solve 5*a = -2*g - d, 4*g = o*a - 3 + 9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 21*a**2 + 4575*a - 49148. Calculate k(11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o. Let j(m) = 5*m**2 + 450*m. Give s(j(l)).\nAnswer: 15*l**2 + 1350*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 0, 356?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*(-95)\/(42560\/(-784))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11655522 is divided by 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + (sqrt(208) - (sqrt(208) + -1)*1) + 0)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c - 2. Let z(a) = a - 4. Let g be z(2). List the prime factors of b(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13780 and 265?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1760\/(-128) - (-21)\/12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -760 divided by 2?\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 2504?\nAnswer: -2466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2317 (base 11) to base 13\nAnswer: -1501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58540726 at least as big as 58540728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -192799.\nAnswer: 16\/192799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z**2 + 6*z + 4. Let u(y) be the second derivative of -2*y**4\/3 - y**3 - 5*y**2\/2 + y. Let n(c) = -5*d(c) - 4*u(c). Factor n(a).\nAnswer: -3*a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -2*z + 3, -3*b = z + 4 - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9448 plus 30?\nAnswer: 30.9448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 6*a + 2. Let b = -1 + 6. Suppose b*i - 9 = 11. Determine r(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1358*m - 1358*m + 2*m**3 + 4998 + (-3 + 3 - m**2)*(0*m + 3*m - 4*m) to the form w*m**2 + t*m**3 + l*m + o and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7246.707 years to millennia.\nAnswer: 7.246707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/v**(-2\/59))\/v)\/v*v)\/v*v*v\/(v*v**(-2\/15)) assuming v is positive.\nAnswer: v**(1033\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - q = -9867, 3*q + 13143 = 14*w - 10*w. Is 24 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37380343*z**3 + 2658256*z + 1 wrt z?\nAnswer: -224282058*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5186 is divided by 350.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42\/170827 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40290, -80593, -120562, -160029, -198826, -236785, -273738, -309517?\nAnswer: -343954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*8\/(-4)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 124308 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 2*m - 2*m + (-3*m - 21 + 21)*(-4 + 3 + 2))*(-91 + 661*m + 91) to h*m + u*m**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*l + 23 = 0, -4*f = -11*l + 11 - 3. Let h(j) = -3*j - 48. What is h(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2026.7 + 2027.6. Sort 0, 17, b, -1 in increasing order.\nAnswer: -1, 0, b, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/5 - (-4 + 6\/2). Let s be 3\/2 - (-1 + 10\/g). What is the closest to 1\/3 in s, 1, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 19 - t - 9)*(4*t - 4*t - t).\nAnswer: t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 5*p - 5*p)*(-3 - 2 + 2) + (-3*p - 1 + 1)*(0 - 3 + 6) + 0*p - p + 5*p to the form w*p + g and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3 + 33 = 0. Suppose 2*a + 0*q - 8 = 2*q, -2*a + 4*q + r = 0. Find the third derivative of -34 + a*b**4 + 34 - b**2 wrt b.\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -976281 or 49.2?\nAnswer: 49.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/19 or -4853?\nAnswer: -4853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 249227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-92)\/66*-3 - (684\/132 + -5). Sort m, -2, 9, 5 in ascending order.\nAnswer: -2, m, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/15*5 + 2*2. Suppose -1 = x + 2*o, 0 = z*x + 4*o + 1 - 8. What is the least common multiple of 12 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**3 - t**2 - 9. Let o(a) = -2*a**3 - a - 8. Let w(y) = -4*o(y) + 3*u(y). Suppose -c + 0 = 4. Let h be w(c). Solve -4 = h*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.1, 1, -1\/137, -6\/19, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**26*m**(-1\/6))\/(m**15\/(m**2*m)) assuming m is positive.\nAnswer: m**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 4335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5692883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 16 + 0 + (-13 - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -1069, 78, -6 in descending order.\nAnswer: 78, -6, -30, -1069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5494 (base 13) to base 9.\nAnswer: 17141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1376153144?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2433825248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354 - 372 = -4*s - 2*t, -s = -4*t + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 227137249 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 - -121?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 6:59 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5 - 5*s + 15*s**2 + 10*s**2 - 12*s**2 + 3*s**2. Let f(z) = 24*z**2 - 8*z - 8. Let y(p) = -5*f(p) + 8*x(p). Let q(u) = 14*u. Give q(y(d)).\nAnswer: 112*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*d - 6*d**3 + 21*d + 0 - 2*d**3 + 0 + (0*d**2 + d**2 + 0*d**2)*(-21 + 21 + 10*d))*(12 + 13 - 11) in the form m*d + c + b*d**2 + x*d**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(726)*-1*-2 - (sqrt(726) + -4*sqrt(726)*-1 - sqrt(726)))\/(-5*-2*sqrt(2) + sqrt(200)).\nAnswer: 22*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 890204762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 25*r**2 - 133*r - 349. What is f(-19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 275176 (base 8) to base 13\nAnswer: 35145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(-2*m + 0*m + 3*m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 208, 472, 810, 1252, 1828, 2568, 3502, 4660?\n\"Answer: 5*i**3 + 7*i**2 + 208*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2\/3 (b) 1\/11 (c) -1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(72)\/sqrt(6)*-1 + sqrt(12)))\/(sqrt(20)\/(sqrt(5) - sqrt(180)\/sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (-1 - -5) - -2. Suppose 0 = -p + w*x - 95, -4*p - 467 + 87 = 5*x. Let b = -65 - p. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 620741 and 25?\nAnswer: 15518525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1.79, 0.3, 3, -15, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-3)\/4*1. Suppose -2*w - x*w + 315 = 0. Suppose -q = -3*c - 5*q + w, 2*c - 35 = -5*q. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*b + 5, 0 = 5*b - 3*f - 1 - 2. Suppose 5*r - b*c - 470 = 227, -5*c + 665 = 5*r. What are the prime factors of r?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(204)*-1*-1 - sqrt(204)))\/((sqrt(180)\/sqrt(3)*6)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/361 + 1093\/1805. Let m = 121 - 1090\/9. Which is the closest to 2\/7? (a) m (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74519\/10 - -7463. Calculate the common denominator of 28\/5 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (-1*2*6*(sqrt(243) - (sqrt(243) - -2*sqrt(243))) + 3)*4.\nAnswer: 9 + 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 155\/4 + (-2 - (-25)\/20). Suppose 0 = -w - z + 31. Does 2 divide w\/(-5) - 15\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 - (0 + -12 + 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24700943\/(-12357075) - ((-21)\/3 + 5). Let m = 1\/5475 - o. Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 4*i**2 + 3*i + 4. What is g(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 1. Let m(d) = 4*d + 7. Suppose r + 4*l = 19, 20 = 7*l - 2*l. Calculate r*m(f) + 15*o(f).\nAnswer: -3*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*a + 16204 - 83249 = -245*a + 202*a for a.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 16, 5*i + 7*o - 12*o = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.12 (c) -4\/23 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 262515 - 1?\nAnswer: 262514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from {x: 1, u: 7, p: 7, n: 1}?\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 25*k - 174 = 378 + 114, 52 = -2*k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ae (base 15) to base 12.\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -25 (c) -2\/5 (d) 0.5 (e) 1136 (f) -1\/4 (g) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15950936 to the nearest integer?\nAnswer: 3994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1133*j = 1109*j + 81576. Is j a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -476*i**3 - 4*i - 8*i**2 - 2*i**4 + 3*i + 474*i**3 to x*i**4 + m*i**3 + g*i**2 + c*i + q and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 354*h**2 + 707*h**2 - 4 - 355*h**2 + 6. Let o(m) = -2*m**2 + 2*m + 1. Calculate 2*o(y) - 3*t(y).\nAnswer: 2*y**2 - 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*z - 22, -3*z - 1 - 1 = d. Let u(i) = i**2 + 10*i + 16. What is the remainder when u(-11) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from mboobvwwjobvowwbwwmw.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -800 - -791. Let w(m) = m**2 + 11*m + 26. Determine w(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k. Suppose -w - 5 = 0, 5*i + 2*w = -0*w. Let o(r) = -r + 1. Determine i*o(z) - g(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 84\/(-8) + 2\/4. Let v be (-1)\/(-5) + 2\/i. Suppose 14*a - 5238 - 488 = v. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 - 113*i**2 + 60*i - 121. Give z(56).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 16) to base 13\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58149515.\nAnswer: 5, 59, 197117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 548911356 take away 2445?\nAnswer: 548908911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxvxxxv. What is prob of sequence xvxx?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6547.9 + -6575. What is the nearest to 6 in i, -2, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1752267*m**3 - 6919*m**2 + 951 wrt m?\nAnswer: -10513602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 943828547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116*s**4 + s**2 + 237*s?\nAnswer: -2784*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6 = -1, 5*n + 5*p - 35 = 0. Let m(j) = -2*j - 6 + n. Let l(y) = -2*y. Calculate l(m(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/6)\/(q**(-2\/31)\/q*q))\/((q*q**8*q*q)\/q*q**5) assuming q is positive.\nAnswer: q**(-2747\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - n - n - 70, 0 = 3*m + 2*n - 63. Let i be 1\/4 - 45\/(-12). What are the prime factors of m + -2 + i + -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + j - 1. Let n be m(1). Suppose 5 = -3*c - 3*v + 2, 4*c - 8 = n*v. Find the common denominator of 3\/10 and (-23 - c) + (-3)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9\/2 + -17\/4. Let u be (3\/14)\/(6\/7). Factor 0*z**4 + 0 + 0*z - w*z**3 + 0*z**2 + u*z**5.\nAnswer: z**3*(z - 1)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-14))\/((-28)\/49).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -361*h**4 - 219 wrt h.\nAnswer: -1444*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -295 - -296. Which is the smallest value? (a) -0.1 (b) l (c) -0.032\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*n**6 - 2*n**4 - 151*n**2 wrt n?\nAnswer: 8520*n**3 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-464)\/87*1*((-36)\/96)\/((-1)\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and -0.3147 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + 39 - 25 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 3:25 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 + -68. Suppose 39*c - f = 35*c. Let r(u) = u**3 - 14*u**2 - 14*u - 11. Let d be r(c). Calculate the greatest common divisor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -50. Calculate the remainder when 51 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r*r**12\/r*r*r*r**19*r*r\/(r*r**(6\/7))*r**4 assuming r is positive.\nAnswer: r**(274\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3469 is divided by 520?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 5*q**2 - 3*q + 3. Let u be k(3). Suppose 0 = -2*w + 2*i + 49 - 7, 0 = -4*i - u. What is the remainder when 70 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8369\/6 + 1400. What is the common denominator of -13 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**4\/12 + i**2. Let r(h) be the first derivative of h**2 + 9. What is j(r(k))?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -120 smaller than -1554\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 702286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10127533 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8797858919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4\/7 + 3174*n**3\/7 + 40988*n**2\/7 + 100776*n\/7 + 62960\/7 = 0. Calculate n.\nAnswer: -1574, -10, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*s**3 + 73*s**3 + 38*s**3 + (2 - 2 - 3*s)*(3*s**2 - 3*s**2 - 3*s**2) + (0 + 2*s + 0)*(-3*s**2 - 2*s**2 + 3*s**2) + 1 - 1 + 3*s**3.\nAnswer: 101*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 62 = 4*t. Let o(m) = -m**3 + 8*m - 15. Let h be o(-5). What is the first derivative of -t + h*r + 29*r - 60*r wrt r?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.54 + 0.04. Let q = -19 + 9. Let j = -10.1 - q. Which is the nearest to -1? (a) j (b) 0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 1, f: 1, x: 1, k: 1}. Give prob of sequence yek.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and 14?\nAnswer: -2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*b - 11*b - b + (0*b + 2*b + b)*(3 + 0 - 4).\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 1559740?\nAnswer: 1559740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 103013111 (base 4) in base 2?\nAnswer: 10011000111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/13)\/w**(1\/10)*(w**(-1\/2))**9)\/((w*w**(-2\/19))\/(w*w*w\/(w*w**(6\/7)))*(w*w**(1\/8)\/w)\/((w\/w**(-6))\/w)) assuming w is positive.\nAnswer: w**(100019\/69160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from {p: 4, t: 1, j: 3, b: 2, a: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*b - 29, -b + 2 = -3*b. Let o(k) = k**2 - 5*k + 4. Let n be o(5). Suppose -r = -n*i + i. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 take away 4217659991210?\nAnswer: -4217659991226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 4:13 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 11*s - 1. Let o be w(11). Let k be (o - 4)*(-10)\/(-25). List the prime factors of 50 + 15 - (k - 3 - -1).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let a(z) = -z**2 - 2*z**2 + 5*z**k. Let t(j) = -j**2. Calculate a(t(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3392 = 5718*n - 4588*n, 1 = -5*a - 2*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154)\/sqrt(448))\/sqrt(2) + (sqrt(88) + sqrt(88)*2)\/sqrt(8) + (1 + sqrt(275) - sqrt(275) - sqrt(275)))**2.\nAnswer: -15*sqrt(11)\/4 + 2539\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12612 and 12.\nAnswer: 12612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*c**3 - 45*c**3 - 47*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-10) - 339721\/8870?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n - 4765 = -105*n + 8*n + 1871 for n.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76298*i**5 - i**3 - 261713*i.\nAnswer: -1525960*i**3 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 455772 and 178524?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*v + 34. Let x = 41 - v. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -68, -104, -140, -176?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 20 = 3*m. Let b = m - -13. Solve -b*t - 3 = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h + 22. Let r(q) = -q**2 - 6*q - 2. Let m be r(-5). Suppose -70 = 5*w + m*y, 5*y + 43 = -2*w - 4. Is 11 a factor of k(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110010100000 (base 2) to base 7\nAnswer: -45210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38.52 - 748576322.\nAnswer: -748576283.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = y + y + 250, 251 = 2*v - y. Factor 14*n**3 + 16*n**3 - 21*n**3 + v + 96*n**2 + 249*n.\nAnswer: 3*(n + 3)*(n + 7)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 4*s + 5 - 18, 3*u - 10 = s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/36 + 1\/4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -19*g**3 + 2*g**2 - 2*g + 1. Let s be f(1). Which is smaller: s or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 23*i**2 + 79*i - 38. Give l(19).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2970141497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sujtfjet. Give prob of sequence ftj.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40652*m - 40701*m + 82 = -212. Suppose -5*b - 3*p + 107 = 0, 87 = 4*b - 2*p + 3*p. Calculate the highest common factor of b and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*t - 28 = 0, 36 = -5*i - 26*t + 30*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22379497.23 rounded to the nearest 100000?\nAnswer: 22400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(-2*w - 5*w + 5*w) + 2 + w - 2 + 2*w + 2*w - w - 2646*w - 206*w + 6036*w to s + l*w and give l.\nAnswer: 3186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 1. Let x(t) = 4*t + 12. Calculate -x(g) - 12*y(g).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -500 or -499?\nAnswer: -499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 729, 717, 703, 687, 669, 649?\n\"Answer: -z**2 - 9*z + 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-4 - sqrt(704))**2 + 5.\nAnswer: 17605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/65, 4\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.011681 - -222.978319. Let b = -267 + 45. Let j = u + b. Round j to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2. Let r = 1059 - 4239\/4. Is r != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 - 539\nAnswer: -538.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/12 and 17\/39?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**6\/120 - j**5\/12 + j**3\/6 + 904*j**2. Determine b(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Suppose 4*d + 3*j - 30 = -8, 2*j + 8 = r*d. Solve p + d*f + 12 + 0 = 0, -12 = -2*p + f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5))**(-45)*d**11*(d\/(d**(-14)*d)*d)\/d assuming d is positive.\nAnswer: d**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.2 - -0.8. Which is the nearest to -0.1? (a) 3 (b) m (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89942766?\nAnswer: 2, 3, 41, 131, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n - 2*n + 3*n)*(38 - 4*n + 38 + 3*n) + (4*n + 12*n - 4*n)*(-2*n - n + 4*n) + n**2 - 2*n + 2*n to the form x*n + j + y*n**2 and give x.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 20\/9 of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2909 is divided by 483.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = -2. Let h(n) be the second derivative of n**3\/6 - 3*n**2\/2 + 2*n. Let u be h(4). Do w and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 187228*h - 103012134.\nAnswer: 2*(h - 547)*(h + 94161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*d + 69, -3*d = -4*d. Let z = 1 - -5. What is the remainder when f is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3\/5 + 1743438*o**2\/5 - 1743441*o\/5 = 0 for o.\nAnswer: -581147, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10239602 is divided by 2047919.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from {j: 1, e: 3, c: 1, v: 1, w: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 - (7 + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-20)*(-16)\/720*25.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-20))\/((-22)\/(-44)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 + 1 = 0. Let w be -2*o\/16*-114. Let n = w - 26. Calculate the remainder when n is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/9 - 37054*q**2\/9 - 74102*q\/9 - 12350\/3 = 0. Calculate q.\nAnswer: -18525, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5 - 4*h + 2*h + h. Let z be -8 + (36\/(-2))\/(-3). Let k(s) = 1. Determine z*o(p) + 10*k(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 97*u**2 - 353*u - 698. Determine p(-2).\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 - 8)*(-32*f + 7*f - 3*f) - 2*f - 2*f + 3*f)*(14*f - f + 7*f) to the form s*f + m + h*f**2 and give h.\nAnswer: 4460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f + 45*f + 6*c = -95088, 5*c = 2*f - 63390. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4\/7 - 450*i**3\/7.\nAnswer: -3*i**3*(i + 150)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285081371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -4\/3*o**3 + 1\/4*o**4 + 0*o + 4 + 0*o**2. What is the third derivative of c(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344 and 44806?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 73*o**2 + 16*o - 32. Let d(k) = 14*k**2 + 3*k - 6. Give -11*d(f) + 2*v(f).\nAnswer: -8*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.17 + -14.83. Let k = 0.042 + -22.042. Let q = o - k. Is 0.1 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63558724 is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.069456314 and 0.2.\nAnswer: 0.269456314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6, 3\/8, 21?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 232000 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 17*v + 3*t - 580 = 0, v + 116 = 5*t. Let q be ((-77)\/(-2) + -1)\/(29\/v). Is q bigger than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -65. Let n = 16 - -43. Suppose -4 = h - 5, h = v*p - n. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 18*a**3 + 102*a**3 + 59*a**3 - 6*a**3 + 2*a**3 + 2*a**3 + (a**2 - 1 + 1)*(-9*a - 4*a + 2*a) to the form z*a + q + o*a**3 + c*a**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 14*c - 57. Determine q(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 385552, 385544, 385524, 385486, 385424?\n\"Answer: -o**3 - o + 385554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*j - 78 = 0, 4*j - 1 = -17. Let v = -523 + 765. Calculate the highest common factor of z and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*x + 147. What is x rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -714 - -718. Let w(y) = -4*y + 2. Let g(r) = r - 3 + 4 - 2. Calculate o*g(l) + 2*w(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 29*x - 2. Let l(a) = -14*a + 1. Suppose 126 = -20*s + 41*s. What is s*w(r) + 13*l(r)?\nAnswer: -8*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, u: 1, w: 3, r: 1, o: 2}. What is prob of picking 1 r, 1 u, and 1 t?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -54650 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212 + 32?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 4 - 4)*(-43*h**2 + 7051*h - 7051*h).\nAnswer: 43*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216 and 465216.\nAnswer: 4186944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1 + 4 + m**2 + 4*m**2 - 10*m - 3*m**2. Calculate the remainder when k(7) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 79*o**6\/15 - o**5\/10 - 2*o**4\/3 - 251*o**3\/6 - o**2\/2 + 10378*o. Find the second derivative of l(x) wrt x.\nAnswer: 1896*x**2 - 12*x - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -561*b**3 + 119*b. Let g(z) = -6*z**3 - 5*z**2 + 7*z. Let u(r) = -10*r**3 - 6*r**2 + 9*r. Let d(h) = 6*g(h) - 5*u(h). Determine 119*d(w) + 3*p(w).\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 0*d**2 + 5\/6*d**4 + 0 + 8*d - 5\/6*d**3. What is the second derivative of w(o) wrt o?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46185920 and 110846208?\nAnswer: 554231040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 534694191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coco when four letters picked without replacement from ocoooooooooooooooco.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 17*b + 38 - 5*b - b - 5*b.\nAnswer: 4*b + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvywkjjywwywyjjy. Give prob of picking 4 y.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 4:10 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 1. Let p be (-2)\/(-4 + -1 + 8\/2). Let j(a) = -p - 6*a**2 + 20*a + 4*a**2 - 1 - 25*a. Let q be 3*(-3)\/(18\/(-8)). Determine q*w(o) + j(o).\nAnswer: -2*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -33. Let a(w) = w**3 + 11*w**2 + 9*w - 7. Let l be a(-10). Factor l*t**n - 3*t + 2 - 3*t**3 - 5*t + 4*t**3 + 3*t - t**4.\nAnswer: -(t - 1)**3*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.42 * 30\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 14. Let i = -5478 + 5480. What is the closest to 0.4 in l, 1\/5, i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/7085 and 3\/872?\nAnswer: 56680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(195*z + 213*z - 407*z + 491).\nAnswer: -2*z - 982","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 + 0 = 0. Let q = 2 - -1. Find the third derivative of 2*x**j + x**2 - 3*x**4 + x**3 - 3*x**q wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12005166?\nAnswer: 2, 3, 61, 32801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 7) to base 11\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1052968148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 (base 10) in base 6?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-30 + -12 + -15 + 12).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 1288?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29493, -117583, -264273, -469563, -733453, -1055943, -1437033?\n\"Answer: -29300*z**2 - 190*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 1, k: 4, z: 1, u: 2, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 183256 by 68.\nAnswer: 45814\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -292\/662687 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 254 = 216. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*p + 6*p**4 - 6*p + 83*p + 6*p**4 wrt p.\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 188 + -168. Let r(q) = -q**2 + 3*q + 2. Let a be r(3). Suppose a*s = -2*m + 44, -s + 94 = 2*m + 3*m. Calculate the least common multiple of m and h.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**2 + 18*s**2 - 6*s**2 - s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35049530.\nAnswer: 2, 5, 31, 113063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 6*n**2 - 3*n**2 + (5*n - 7*n + n)*(3*n + n - 5*n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.101935 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 4 - 4)*(-22 + 22 - 30*j).\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -20. Suppose -4*w = -13 + 1. Suppose -3*u = w - 9. Calculate the smallest common multiple of u and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38*(6\/7 + -1). Let s be (-1 - 2\/2)\/(140\/280). Which is greater: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 11:12 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**0\/z)\/z)*z)\/((z**9*z)\/z) assuming z is positive.\nAnswer: z**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 3424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 14, f: 4}. What is prob of picking 1 f and 1 a?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 47 = 8*q - 7*q, -247*q = -248*q - 2*i - 25 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:48 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 719*r - 246 - 2630 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeebebeeeeeebeeeee. What is prob of sequence beb?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2986*s = -2990*s - 20, -s = -2*t + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 885117, 885139, 885175, 885225, 885289, 885367, 885459?\n\"Answer: 7*m**2 + m + 885109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 51. Suppose 3*q - 4*k = 88, -4*k + 7*k = 4*q - 129. Let o = q + -25. What is the remainder when j is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -3\/5, 10, -0.5, 16, 97 in decreasing order.\nAnswer: 97, 16, 10, 2\/5, -0.5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.68 - 5.88. Let m = -0.15 - -0.4. Let h = 0.05 + m. Which is the smallest value? (a) i (b) h (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 462, 1074, 1946, 3084, 4494, 6182, 8154?\nAnswer: 10416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211816176 to the power of 1\/2, to the nearest integer?\nAnswer: 14554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 262.668 and 0.04.\nAnswer: 10.50672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62537.\nAnswer: 23, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 5*j + 1041. Let t = 0 + 0. Let q be i(t). Suppose 0 = 19*y - 16*y - q. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20\/3519 - -13394\/17595. Find the common denominator of -139\/30 and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-280)\/50 - 6\/(-10). Let o be (16\/4)\/(p\/(-10)). Calculate the highest common factor of 64 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/285 and -77\/1140.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 1\/4, 1\/5, 0, -83, 2\/3, -2.59?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -194 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, s: 5, n: 5}. Give prob of sequence nts.\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 18. What is the highest common divisor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 43*n**2 + 271*n + 315.\nAnswer: (n - 35)*(n - 9)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25857964062629.999999872 + -25858007573123. Let n = 43510548 + l. Let p = 55 - n. What is p rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 + 2*i**2 - 3*i**2 + (1 + i - 1)*(0 - 2 + 1)*(-699*i - 5089*i - 7180*i) to the form r*i + j + v*i**2 and give v.\nAnswer: 12967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 218798 and 558?\nAnswer: 1969182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1339914319?\nAnswer: 1339914319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - x - 42 = 0, 13*q + 208 = x + 217 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -18. Let v(z) = -2*z**3 + 2*z**2 - 4*z - 12. Is v(i) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(112) + -4)*3 - (-1 + -3*sqrt(112)*-3))**2.\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.09, 5, -2\/57 in decreasing order.\nAnswer: 5, 0.3, -2\/57, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31759 by 7.\nAnswer: 4537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-11\/4)\/(g\/g**(2\/31)) assuming g is positive.\nAnswer: g**(-457\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, n: 1, u: 5, i: 5, h: 4, z: 2}. What is prob of picking 1 j, 1 n, and 1 h?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**4 + 12*y**3 + 184*y**2 - 192*y = 0. What is y?\nAnswer: -6, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -35*a**2 + 269*a + 803. Calculate m(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -635.\nAnswer: -1\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -195\/4. Find x, given that -o*x**2 - 1\/2*x + 0 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from xjxjjxjjxqxjjxxxjjqs.\nAnswer: 36\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 10*f + 64. Let o be x(-12). Let z be o\/(-6)*63\/(-42). Solve 11*r - 1 = z*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*s - 5*s - 5*s)*((-4*s**3 + s**3 + s**3)*(-3*s + 3*s + 3*s) - 6*s**4 - 8*s + 8*s).\nAnswer: 252*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 242 - 242. Which is smaller: m or 28\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*b + 41*b - b**2)*(-b - 5*b + 3*b)*(b + 2*b**2 - b).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115\/9 - -13. Let y(d) be the first derivative of 4\/3*d - d**2 - 2 + h*d**3. Factor y(i).\nAnswer: 2*(i - 2)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/9 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2024 and 137954.\nAnswer: 6069976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68318086 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence liei when four letters picked without replacement from vqeveiieqleil.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e62 + -3d?\nAnswer: 1e25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w**2 + 1 + 6 - 3 - 4.\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 7. Let f be (-26)\/(-4)*(4 + q). Let u(z) = -11*z + 6. Let r(j) = 18 - 5 - 9 - 10 + 23*j - 7. Give f*u(l) + 6*r(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 7:25 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -33aa2?\nAnswer: 33a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/3)\/(b*b\/(b**(-3\/5)*b*b)*b*b*b))\/(b**(-1)*b)**(-10))**14)**48 assuming b is positive.\nAnswer: b**(-14336\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6664 + 7?\nAnswer: -665a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 8) to base 16\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 2350?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-78730)\/60 + 1\/2 - (-24)\/36. Which is greater: r or -1309?\nAnswer: -1309","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 560643*c**3*n**3 - 2*c**3*n**2 - 1053*c**2*n**2 + 88*c**2*n + 2*n**3 wrt c.\nAnswer: 3363858*n**3 - 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, f: 4, u: 2}. Give prob of sequence uuef.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.03, 5, 5.4, -34, 0, 1\/28, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.641816 times -2?\nAnswer: 119.283632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2 - 18 = 0. Let r(j) = j**3 - 2*j**2 - 2*j. Let f be r(0). Solve f = -h*s - 2*w - 14, s = 4*w - 7*w - 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.413853ng?\nAnswer: 0.000000000000008413853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67446927409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.042 * -81.\nAnswer: -3.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, -3, -47, -91, -135, -179?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*u - 48*u + 28386. Calculate the remainder when u is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 + 172400024769*d**2 - 172400024769*d**2.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -72*f - 1. Let g(y) = 108*y + 1. Let i(c) = 5*g(c) + 8*v(c). What is the tens digit of i(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12343*x + 30086*x + 37205*x + 36452*x.\nAnswer: 116086*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0646 and 4?\nAnswer: 4.0646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26783 is divided by 13015?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -4\/5, -0.5, 19384 in decreasing order.\nAnswer: 19384, 40, -0.5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 223*r + 5394. Let s be h(-22). Suppose -4*g + 8 = 2*k - 3*g, -k = -4*g + 14. Sort k, -7, s, -4 in ascending order.\nAnswer: -7, -4, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 + 4*c - 2. Let z be w(3). Let a be 26\/(-7) + 10\/z. Let v = 6 + a. Solve -5*p + 7 = v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4)*4\/2. Suppose -7 = 4*f + u, -4*f - 6 = b. Let o(w) = -w**2 - b + 16*w - 7*w - 10*w. What is o(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1279 and -1327 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -3*f + 16, 12 = -f - 16*z + 13*z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 20.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -4. Let q(u) = -2*u - 1. Let f be (-1 + -1)\/((-2)\/1). Let p be q(f). Put 5, j, p in descending order.\nAnswer: 5, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 1\/2*d**4 + 0 + 11\/60*d**5 - 7\/6*d**3 + 0*d - 3*d**2 + 1\/120*d**6. What is the units digit of f(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -386246, -384483, -382720, -380957, -379194, -377431?\n\"Answer: 1763*j - 388009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-105))\/((-150)\/(-175))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 6 = g + 3*q, 0 = q + 2. Is 37 - g\/(-2 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 28 + 200*o - 195*o + 3. Suppose s = 5*n - 14, 4*s - 2*s - 4*n - 2 = 0. What is the units digit of a(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q = -412 + 7. What is the greatest common divisor of q and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/7 - 56088*q**3\/7 - 786409846*q**2\/7 + 1572987960*q\/7 - 786522025\/7.\nAnswer: -(q - 1)**2*(q + 28045)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) 2\/7 (c) -41 (d) 4 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - f - 7*f**2 + 14*f**3 - 13*f**3 - f**2 to the form k*f**2 + l*f + z*f**3 + r and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i - 6*i - 36*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 741 = 148*j - 887 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1\/2, 0, 2 in descending order.\nAnswer: 2, 0, -1\/2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*((sqrt(77) - sqrt(77)*-3 - sqrt(77)) + sqrt(77) + sqrt(77) + sqrt(77)))\/(sqrt(56)\/(sqrt(16)\/(sqrt(2)*1))).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 11:14 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176225 is divided by 88112.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 13*j**2 - 8*j - 19. Let k be r(-13). Suppose -2*b = -7*b + k. Calculate the remainder when b is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453*p + 6336 = -357*p. Calculate the highest common divisor of p and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 864639 and 492886?\nAnswer: 4177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1841*f**2 - 9327*f**6 + 69079 - 69079 + 2*f**3 wrt f?\nAnswer: -1119240*f**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) -58 (c) -47\/3 (d) 0.27 (e) 0.1 (f) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 4 - 3)*(-4*f + 1 + 1 - 5).\nAnswer: -4*f - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(2*-1))\/((-8)\/84*-7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1891 bigger than -22.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-6)*-3)\/(-2). Let j(f) = -f**2. Let v(d) = -3*d**3 + 4*d**2 + 1. What is w*j(a) - v(a)?\nAnswer: 3*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 795275195 divided by -5.\nAnswer: -159055039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6)*2 - 108. Let g = v - -761\/7. What is the nearest to -2\/5 in -1, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205707245 to the power of 1\/2, to the nearest integer?\nAnswer: 34723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2809 (b) -2\/3 (c) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.365535 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1. Let n(f) = -4*f**2 - 2*f + 1. Let d(g) = -5*g**2 - 3*g. Let z(a) = 2*d(a) - 3*n(a). Suppose 0 = -29*b + 50*b + 21. Determine b*z(l) + 3*h(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 25\/35*7. Solve -a*h = -h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5876 divided by -2779?\nAnswer: -5876\/2779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**2\/7 + 780*s + 354900 = 0.\nAnswer: -910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 23132?\nAnswer: 23133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 360 = 30*g + 14*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 y, and 1 i when three letters picked without replacement from {y: 1, r: 1, e: 1, i: 1, o: 2, v: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4 = 5*q - 6*q - 2*s, -3*q - 77 + 88 = 5*s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 11*b**2 - 7*b - 2. Let a be q(5). Let k = a + -159. Suppose 5*i + 148 = 4*w, -3*i - k = -3*w + 32. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/3368561 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.488 - 1.742. Let c = -3.23 - j. Sort 0, c, 5, -1\/4.\nAnswer: c, -1\/4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -428 at least as big as -2133\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**38\/(t\/((t\/t**(-6\/7))\/t)*t))\/((t**(-27)\/t)\/t**(-3)))**43 assuming t is positive.\nAnswer: t**(18619\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**4 + 0*l**4 - 4*l**4)*(-2*l - 2*l + 6*l) - 77*l - l**5 + 26*l**5 - 16*l**5 + 539*l - 10*l**5.\nAnswer: -3*l**5 + 462*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -76\/75, 10, 0.0008?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 14448*i**2 - 17395392*i.\nAnswer: -3*i*(i - 2408)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -38. Suppose 0 = 2*c + 2, r*u + u + 3*c = 66. Calculate the remainder when u is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 258, 3, -3 in decreasing order.\nAnswer: 258, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -6*s + 42 - 14 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (8*(7\/(-2))\/(-7))\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 + 18*k**2 - 16*k - 96. Let y be x(-6). Solve 3*m - 15 = y, m + 35 = -5*o + 5*m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418321659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 420?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85 * 0.6.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 29563281 + (-4)\/18 + (-20)\/(-9). Suppose 6*k - n = 5656717. Round k to the nearest one hundred thousand.\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-four fifths of a centimeter?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 12 (b) -6 (c) -2\/5 (d) -3\/2 (e) -21 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 28*b**2 - 2*b - 7. Let l be w(-5). Suppose -4*a - l = -5*h, 2*h + h - 415 = -a. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(c**2 + 3*c**2 - 6*c**2) + (-3*c + 2*c + 0*c)*(76*c + 112*c - 161*c).\nAnswer: -23*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + q**2 + q + 1. Let l(t) = -3*t**3 + 5*t**2 + 2. Determine k(i) - l(i).\nAnswer: 4*i**3 - 4*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 = 4*a + 6, -17 = 5*a + 4*p. Let s be 1\/(a - (-5)\/4). Differentiate 0*u**s + 3*u**4 + 4 - 2*u**4 + 0*u**4 wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19990462 - -38.\nAnswer: 19990500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q\/(q\/((q**(-20)*q)\/q))*(q*q\/q**(-1\/4))**30)**44 assuming q is positive.\nAnswer: q**2046","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 7 = i. Let p(q) = -q**2 + 8*q - 5. Let j be p(i). Suppose 0 = 4*f - k + 4, -j*f - k = 9 - 1. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 124 = -10*u + 64*u. Solve -11 = 5*n - u*q, 4*n + 7*q - 12*q = -19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, 5, 137, -3.\nAnswer: -3, 5, 137, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 10:08 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17857d - 0?\nAnswer: 17857d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1 (c) 2\/15 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/4*14\/35. Solve 5*h + v - 14 = 2*h, 0 = i*v + 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 2*r**2 + 6*r**2 - 3*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from {w: 5, q: 1, b: 9, s: 1}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/5 + 1186*j\/5 - 594\/5.\nAnswer: 2*(j + 297)*(2*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000358618534 to 7 decimal places.\nAnswer: 0.0000359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -592988 minus -12.26467?\nAnswer: -592975.73533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8899640.\nAnswer: 2, 5, 271, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 + 11*z**2 + 45*z**2 + 29*z**2 - 11*z**2 as o*z + v + j*z**2 and give j.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39 + 132023?\nAnswer: 131984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 0*g + 3*p + 101 = 0, -4*g + 0*p = -4*p - 116 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + 4*z**2 - 3*z**2 + (2*z**2 + 2*z**2 - 3*z**2)*(-3 - 2 + 6) + 0*z**2 + 3*z**2 + 2*z**2 + z - 52*z**2 - 91*z**2 - 29*z**2.\nAnswer: -165*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 + 3*s**2 - 5*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 6*q. Let o be (7 + -1)\/(-1 + 1 + 2). Solve -y + q = o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 427 - 345. Solve 62 = -5*z + q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74239954867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/1 - (4 + -1))*10. Let g(q) be the first derivative of q**4\/4 + 3*q**3 - 6*q**2 + 12*q - 2. Calculate the remainder when g(d) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 14*l + 24. Let w be s(12). Suppose -2*h - 3*i - 519 = -4*h, w = -5*h + 2*i + 1281. List the prime factors of h.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 7) in base 16?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -946 <= -945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 428563.842 and 10.\nAnswer: 428573.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - -108. Suppose -y = 27*m - m. What is the nearest to -2 in 0, -1, m, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.4. Let u = 129 + -133. Which is the closest to p? (a) -1\/3 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2 = -2*d. Let s be 2 - 2*d\/2. Factor g**3 + 2*g**3 + s*g**2 - g**2.\nAnswer: g**2*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 689 and 7813.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**2 - 57*r + 146. What is l(12)?\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1616*k**3 + 1455*k**3 + 2*k - 3250*k**3 + 1.\nAnswer: -179*k**3 + 2*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 9:06 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = 14*d + 3*g, -4*d + 31 + 56 = g + 114 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -740*k - 405*k**2 + 410*k**2 + 740*k. Let c(u) = 847*u - 2. Calculate z(c(a)).\nAnswer: 3587045*a**2 - 16940*a + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -278956*w**4 + w + 160144 wrt w.\nAnswer: -1115824*w**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**2 + 3 - 32*v**2 + 8 + 15 - 11.\nAnswer: -44*v**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/150*1273\/(-7638)*18\/4.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32986, 66450, 99914, 133378, 166842, 200306?\n\"Answer: 33464*a - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33831 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o. Let r(n) = 91*n**2 + 2*n. Determine r(p(z)).\nAnswer: 819*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217657, 870660, 1959009, 3482704, 5441745, 7836132?\nAnswer: 10665865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18571118 is divided by 270.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8863, -17342, -25819, -34294, -42767, -51238?\nAnswer: -59707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0111191 to 4 decimal places.\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -274.\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14859 * -5.\nAnswer: 74295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fch when three letters picked without replacement from {h: 1, c: 1, a: 3, v: 8, j: 2, f: 3}?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -27.7. Let p = 1.69999816 + v. What is p rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -242*u + 15. Let d(q) = -242*q + 18. Let l(w) = -5*d(w) + 6*n(w). Let f(z) = -6*z. Determine l(f(i)).\nAnswer: 1452*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 574520794 to the power of 1\/2, to the nearest integer?\nAnswer: 23969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 1)*(0*y - 3*y + 2*y) - 2*y - 4 - 2 + 3.\nAnswer: -5*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, e: 3}. What is prob of sequence ete?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3\/65 (b) 3\/5 (c) -3 (d) 90.6 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -12) + (-1 - (1 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21.4, 1\/3, -4\/7, -5, 0, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-67*z**3 + 2904 - 2904)*(-17*z + 28*z - 127*z) in the form k + s*z**2 + r*z**4 + n*z + f*z**3 and give r.\nAnswer: 7772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24.4 and 0.4.\nAnswer: -9.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130797799.\nAnswer: 11, 53, 157, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27924 and 2678.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 30*z**2 - 75*z + 40.\nAnswer: 5*(z - 1)**2*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16742*n*t**3 - 95*n*t - 3*n - t**3 + 40*t**2 wrt t?\nAnswer: 100452*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1874000 and 1499200.\nAnswer: 7496000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/60 + 8*c**2. Let p(o) = 17*o**2. Calculate y(p(g)).\nAnswer: -289*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5\/9 + 106*u**4\/9 - 562*u**3\/9 + 1030*u**2\/9 - 808*u\/9 + 232\/9 = 0. Calculate u.\nAnswer: -58, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = -13*d - 10. Solve -d = -w + 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2))**8\/(y\/(y\/y**(-1)*y))**(-29)*y**(2\/3)\/(y\/y**(-2\/19))*((y*y\/y**(-2\/3))\/y)\/y**8 assuming y is positive.\nAnswer: y**(-3464\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-4)*240\/(-60)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33876 is divided by 385.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 n when three letters picked without replacement from ttqitimgqngnngqiqqtn.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8105758 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -122\/3. Let v = -5.39 - -0.39. What is the closest to k in -0.2, 2\/11, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14 and 0.1825.\nAnswer: 0.02555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-5*f - 2 + 2) + (-1 - 1 + 1)*(3 - 3 + f) - 3*f + 2*f - 17*f + 3 - 3*f - 3 - 2*f - f + 4*f + (3 - 3 + 2)*(2*f + f - f) - 1 + 2*f + 1.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(396))*5 - (sqrt(396) - (1*sqrt(396) + 0 - sqrt(396))) - (sqrt(396) + 1 + -1 - (4 + sqrt(396)*-2 + sqrt(396) - sqrt(396)))*1)**2.\nAnswer: 168*sqrt(11) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**2*z**4 + 9*h**2*z**2 - 4*h*z**2 - 2*h + 50*z**4 wrt z?\nAnswer: -96*h**2*z + 1200*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o + 5 - 12*o + 2*o. Let j(d) = 27 - 14 - 16 + 6*d - 4*d + 7*d. Let p(w) = 11*j(w) + 6*m(w). Determine p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/9 (b) 0 (c) -0.4 (d) -55658\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*u - 6488, 5*z + 1292 = -2*u + 3*u. Let p = u + -375. Does 74 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 91777 = -v, 4*v = 8*v - 8. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3 - 29598*s**2 - 29595*s = 0. Calculate s.\nAnswer: -9865, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17264)\/830*15\/(-6). Solve -6 = -5*g - 3*k, -g = 4*k + 44 - y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(243\/(-108))\/((-3)\/(-1))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2337 = 132*n - 85*n - 75*n - 69 for n.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011513 to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*t = 341 + 205 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 61?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 1. Let f(v) = 149*v**3 + 5*v**2 + 5. What is f(m) + 5*o(m)?\nAnswer: 149*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 - 97 - 1)*(3*h - 6*h + 13*h)*(0 + 0 + 2) + (0 + 0 - 1)*(-4 + h + 4) - 2*h - h - h.\nAnswer: -3105*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*m**3 - 77*m**3 - 6 + 6 - 65*m**3.\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = 2*f, f - 3*n = 2*n - 12. Suppose 0 = y + 2*w - 1, -3*w - f = y - 0*w. What is the highest common factor of y and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2194, -4427, -6660, -8893, -11126, -13359?\nAnswer: -15592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 2. Let u = 29 + 34. Suppose -u = -3*n - 18. What is the greatest common factor of n and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - 2*f**2 + 2*f**2 + (1 - 1 + 2)*(1 - f**2 - 1)*(-1 + 1 + 1).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/3 - 34*k**2 + 1924*k\/3 + 1416.\nAnswer: -(k - 18)*(k + 2)*(k + 118)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 5. What are the prime factors of 0 + y - (-20)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 0 + 10\/3*w**2 - 56*w - 19\/18*w**3 - 1\/36*w**4. Factor k(j).\nAnswer: -(j - 1)*(j + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.9 + -0.1. Let q = -0.02 + -2.98. Let j = p - q. Does 1\/3 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.77774 nanoseconds in milliseconds?\nAnswer: 0.00001977774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102210022211 + -2?\nAnswer: 102210022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -38.999924. What is p rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urru when four letters picked without replacement from {r: 16, u: 4}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 3182*s + 9551. What is h(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 172844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25471, 48956, 72441, 95926, 119411, 142896?\nAnswer: 166381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*a - 306 = -0*a, 3*h + 3*a = 288. Let v = 393 - h. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Let h = t + -4. Let x = h - -0.8. What is x rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, i: 1, o: 2}. Give prob of picking 2 m, 1 i, and 1 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (200\/55)\/((-30)\/(-110))*(-54)\/(-24).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20552876?\nAnswer: 2, 31, 165749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -18 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*a + 234, 3*r + r = 3*a + 462. Suppose 5*b = 461 + r. Calculate the greatest common divisor of b and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2367*u**2 - 2700*u**2 + 5071*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 27172*r + 67. Is k(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k - 568 - 1840 = -11*k - 94*k for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkk when three letters picked without replacement from {n: 5, k: 9}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**2 - 38*m - 28. Give v(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 629*y + 280 - 1249*y - y**2 + 621*y to i + c*y + r*y**2 and give i.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -191*n**2 - 12*n - 3*n**4 - 6 + 193*n**2 + 13*n in the form h*n**3 + g + p*n**4 + y*n + f*n**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63016.\nAnswer: 2, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -23*a + 141. Let r(y) = -5*y + 28. Let q(o) = 2*f(o) - 11*r(o). Calculate q(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-20))\/(8\/(-120)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 + 6 + 8)*(6 + 5*r - 6) as a + b*r and give b.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1569, 6395, 14443, 25713, 40205?\nAnswer: 57919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/91*4\/6\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q**2 - 8*q. Let z = -176 + 172. Let r(l) = 6*l**2 + 10*l. Let f(t) = z*r(t) - 5*i(t). Let d(k) = 38*k**2 + 2. Calculate f(d(o)).\nAnswer: 1444*o**4 + 152*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132 - 140. What is the tens digit of 3 + (-686)\/q + 13\/52?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4. Let p be ((-3)\/o)\/((-3)\/9). Suppose l - p = -0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1262*h + 1974*h - 180020 = -1835*h - 55217 for h.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92328.\nAnswer: 2, 3, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 11*l - 4. Let c(u) = -8*u + 3. Let q(h) = 7*c(h) + 5*k(h). Let b be q(1). Let a = 0 - 1. Put a, b, 4 in increasing order.\nAnswer: a, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -139*o**6\/15 + 19*o**5\/15 - 2*o**3\/3 + 479*o**2. Find the third derivative of n(y) wrt y.\nAnswer: -6672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.15851 to 2 dps.\nAnswer: -5.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 1006*k + 35400. Calculate y(-35).\nAnswer: -1035","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -17*i + 67. Suppose -y - 424 = -3*b - i*y, 412 = 3*b - 4*y. What are the prime factors of b?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 22*j - 27*j - 409, -2*r - 2*j = -878. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-42)*18\/24. Let k = -9.82 + 9.82. Let n = -10.91 + 11. Which is the nearest to -0.1? (a) n (b) k (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2999 is divided by 728?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9292*d**2*q*s**2 - 24*d**2*q - 6*d**2*s**2 + 376*d*q - 3*s wrt s?\nAnswer: -18584*d**2*q - 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(112))**2.\nAnswer: -678 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**4 + v**3 + v**2 - v - 1. Let x(o) = 49*o**4 + 19*o**2 - 51*o**4 + 11*o - 16 - 5*o**3 - 6*o**3. Let k(g) = p(g) - x(g). Factor k(q).\nAnswer: 3*(q - 1)**2*(q + 1)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2004378675 to the nearest integer?\nAnswer: 44770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 6 = -2*s. Is -1\/2 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x - 12 = 0. Let n be ((-3)\/x)\/((-20)\/64). What is the third smallest value in n, 1\/3, -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 642 - 422. Calculate the remainder when q is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 90. Let k(i) be the third derivative of -1\/480*i**6 + 0 - i**2 + 1\/80*i**5 + 0*i**u + 0*i - 1\/48*i**4. Factor k(m).\nAnswer: -m*(m - 2)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*r + 9918 = -182*r - 49*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epte when four letters picked without replacement from egtgepepe?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -144, -132, -122, -120, -132, -164, -222?\n\"Answer: -k**3 + 5*k**2 + 4*k - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/66*2\/5 - (-15)\/(-77).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j - 4*j - 10*j)*(0*j**4 + 0*j**4 + 3*j**4 + (-3 + 3 - 5)*(-4*j**4 + 0*j**4 + 18*j**4)).\nAnswer: 1474*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -10*j + 854. What is the remainder when 181 is divided by j?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -81\/5. Let l = -3 + 4. Which is greater: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*o - 11*o - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**5\/75 - 3*b**4\/40 - b**3\/15 - 5*b**2\/2 - 4*b. Let n(z) be the first derivative of v(z). Factor n(d).\nAnswer: -(d + 2)*(4*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 71309*v**3 - 835*v**2 + 835*v + 835. Let d(m) = -171*m**3 + 2*m**2 - 2*m - 2. Determine 835*d(s) + 2*g(s).\nAnswer: -167*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/14)\/n)\/n*n*n**(-1\/4))\/((n\/(n*n**(1\/8)\/n))\/n*n\/(n**(-14)*n)) assuming n is positive.\nAnswer: n**(-843\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -540059*h**2*z**3 + 7*h*z**3 + z**3 - 4*z**2 + 5132*z - 8 wrt h.\nAnswer: -1080118*h*z**3 + 7*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-238)*(0 + (8 - (-1688)\/(-232))).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 90. Let z = t + -37. Let u = -4 + 3.7. What is the closest to z in -1, 4\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5224097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 37. Solve q*b - 25 = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + i - i)*((0*i - 6*i + 4*i)*(0*i + 0*i - 3*i) - 1 + 3 + 1 - i**2) as h + f*i + u*i**3 + d*i**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -7. Suppose i + 3*q - 14 = q, 8 = 4*i - 4*q. Calculate the lowest common multiple of i and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12294, 12238, 12120, 11910, 11578, 11094?\n\"Answer: -5*j**3 - j**2 - 18*j + 12318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 158013598*b**6 + 699842*b**2 - 75 wrt b.\nAnswer: 18961631760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 990141083 a multiple of 1590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10187*f + 10184*f + 2*p = -4, 16 = 4*p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - d + 5. Suppose 4*l - 2*w - 3*w = 18, 27 = 5*l - 4*w. Suppose 2*b - 5*v = -5, l*b - 5*v = 2*b - 20. What is n(b)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28833661?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3959*p**2 - 170*p - 1043. Is d(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50297955?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-1 + 14\/5). Let u = 6289 + -6288.45. Put -2, u, v in decreasing order.\nAnswer: u, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129649\/378 - 2393\/7. Let c = 13881\/4 + -3457. What is the common denominator of c and w?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -153\/5, -4\/9, -4, 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkpkkkkkp. What is prob of sequence pp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2 - 2*w + 2. What is the smallest common multiple of -1*(-2*1 - 2) and j(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 360610 - 0?\nAnswer: 360610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*g + 19 = 0, y = -4*g - 7 - 15. Is 967 - 0\/(-2 + y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 681885757 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*w + 4 - 90 = 0. Let h be ((2 + -2)\/(-3))\/2. Solve h*f = -f - w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (298*h - 71*h + 486*h)*(-9 - 4 - 4).\nAnswer: -12121*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010121 - -10?\nAnswer: 1010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -78*x**2 + 4*x + 143 + 37*x**2 + 250 + 41*x**2 - 12*x**4 wrt x?\nAnswer: -48*x**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1506, 1\/7, -55?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 3. Let u(b) = b. Let p(o) = 4*o + 3. Let w(j) = -p(j) + u(j). Let g be w(-1). Suppose -5*h = -g*x + x + 14, -5*x - 5*h = -10. What is k(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1510047 - 1510046.369939. Let b = f - 0.63. What is b rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1013 + 635. Is 30 a factor of (20\/(-2))\/(7\/c*3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3490.818ml to litres.\nAnswer: 3.490818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1443213 (base 6) to base 10.\nAnswer: -83673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -13*i**3 + 2*i + 1. Suppose 4*g = 3*q - 16, -q = 2*g + 13 - 5. Let c be 2\/(g\/6)*(-1 - -6). Let z = 14 + c. Calculate s(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19707828 and 78.\nAnswer: 256201764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (26 - 124 - (-51 - -19))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3156 + 3224. Calculate the highest common divisor of 4250 and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35 + 6?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-540)\/(-135)*6\/(-32)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from ixlxxxlddidixix?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -19, -1596631 in ascending order.\nAnswer: -1596631, -19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 9*f + 9. Give i(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1168 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-1 - (-12 + 3)) - (14 - 27)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -99*y + 4. Let m be g(6). Let d be m\/7 - 4\/(-14). What are the prime factors of d\/(-10) - (-4)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 + 86.128. Let a = 1.115 - u. Round a to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52 * -0.54.\nAnswer: 28.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90176314.127 + -3.58.\nAnswer: 90176310.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - b - 910 + 909, 2*c = -5*b - 12. Is 2\/5995 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255394 (base 12) to base 7\nAnswer: -5121652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2547 + 37.3\nAnswer: 37.5547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**18\/(j*(((j\/(j\/j**(-2\/9)))\/j)\/j)\/j)*(j*((j*j**(2\/13))\/j)\/j*j*j)**17 assuming j is positive.\nAnswer: j**(6650\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**2*z**5 - 34*g**2*z**4 + g**2*z**2 - 38*g**2*z wrt z?\nAnswer: 60*g**2*z**2 - 816*g**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 0*v - 3*v)*(-96 - v**2 + 0*v**2 - 34) to g*v**2 + o + r*v + y*v**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 66. Calculate the highest common factor of 168 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**4\/5 + 78*u**3\/5 - 1372*u**2\/5 + 2514*u\/5 - 1219\/5 = 0?\nAnswer: 1, 23, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 - -169. Suppose 3*w - 180 = -4*k, 4*k - 39 - b = 3*w. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 8 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q + 60. What is z(-19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1075362 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-135)\/30)\/(4\/(-8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 4. Let p = 2.791084 + 0.208916. Let f be 13\/(-15) + (-3)\/(-15). Which is the second biggest value? (a) -2\/11 (b) f (c) p (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n + 2. Let y be o(-1). Suppose 11*d - y*d = 66. Calculate the greatest common divisor of d and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**3 + 2*g**2 - g + 1. Suppose -2*h - 6 = -0. Is b(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 18*d**2 - 7*d - 2. Let p be n(10). Let h = p - 2152\/3. Find the common denominator of 40\/9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/5, -0.5, 11\/456?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 88.359804ns?\nAnswer: 0.00000000002454439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1. Let l(f) be the second derivative of -f**3\/6 - f**2 + f - 1. Give l(w) - 3*t(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6476 + 38445.\nAnswer: 38444.3524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 + 22*t**2 - 48*t + 135. Let u be w(-13). What is the greatest common divisor of u and 664?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 36, -1073, 7, 5, 0 in increasing order.\nAnswer: -1073, 0, 2, 5, 7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ava when three letters picked without replacement from {a: 4, v: 16}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**7\/42 + 11*y**6\/30 + 6*y**5\/5 - y**4\/3 - 16*y**3\/3 - 310*y. Factor a(s).\nAnswer: s*(s - 1)*(s + 2)**2*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 6)*(-6428)\/8. Let l = y + -3064. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 - 37 = 16*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (3 + -2 + -8 - -1)) + -21\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1. Let v(g) = 7*g + 11. Let m(w) = -4*r(w) + v(w). What is the first derivative of m(f) wrt f?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 8 = d, 2*q - 318*d + 14 = -323*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1648 + -1621. What is the remainder when 7336\/21 - (-2 - 8\/(-6)) is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k = 22*k - 22. Suppose -5*o + 15 = -5. Let v be 1\/o + k\/12. What is the smallest value in v, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 104599552, 209199111, 313798670, 418398229?\n\"Answer: 104599559*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.2227 - -0.2227. Which is the closest to -2\/3? (a) -0.6 (b) -6 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -106 + 62 + (2 - (-3 + 7))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*b**3*w**3 - b**3*w**2 + 2*b**2*w**3 + 25*b**2*w**2 + 529*b**2 - 3*b*w**2 - b*w + 7133*w**3 wrt w?\nAnswer: -294*b**3 + 12*b**2 + 42798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 2:55 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (585 - 595) + (1 + (0 - -2) - 26)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -134*u + 3219. Let h be v(24). Let 0 - 2\/5*a**2 - 2\/5*a**4 + 0*a - 4\/5*a**h = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*n**2 - 4*n**2 + n**2)*(-4 + 4 - 2*n) + (0 + 2 - 1)*(-6*n**3 + 2*n**3 + 7*n**3))*(5 - 3 + 0)*(4 - 3 + 0).\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60014?\nAnswer: 2, 37, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2 + 4. Let i be n\/(-7) - (-72)\/154. Let s = -5 - -8. What is the biggest value in -1, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/54, -64, -5, -6, -2\/19, 3?\nAnswer: -5\/54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1301 - 632. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/t**(12\/5)))\/(t\/t**(-7\/6)) assuming t is positive.\nAnswer: t**(37\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/206 and 13\/20?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 1 (c) -3 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90439813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2520\/14)\/(-10)*(-6)\/4\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from wytta?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 151904 and 759520?\nAnswer: 759520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 74, 147, 206, 245, 258, 239, 182?\n\"Answer: -u**3 - u**2 + 83*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c**2 + 15*c + 23. Determine p(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.06, 4\/8583, 4\/9 in decreasing order.\nAnswer: 4\/9, 4\/8583, 0, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 375181267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/((-14)\/4))\/(-6). Which is the second smallest value? (a) 1\/7 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16885203 divided by 5628401?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4) + (-10)\/200.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (-27 - -18) - 31?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-21)\/(-18)))\/((-80)\/(-560)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooocowwwco. What is prob of sequence ow?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 d when three letters picked without replacement from {c: 2, d: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 479870967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 1)*(-1 + 1 + 2*m) + 0*m + 4*m - 2*m + (3*m - 10*m - 2*m)*(6 + 3 - 3).\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302562.\nAnswer: 2, 3, 13, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 122377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 + 15652*a\/5 - 30623138\/5.\nAnswer: -2*(a - 3913)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 6783 = -158*l - 20383 for l.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -71111, -70748, -70385, -70022, -69659, -69296?\n\"Answer: 363*b - 71474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*d = -239 + 1064 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.25 (b) 2\/69 (c) 5 (d) -3 (e) 0 (f) -32 (g) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + -124. Let z = 203 + j. Solve 6*g = 10*g + z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 401 - -5?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 134 and 1611059.\nAnswer: 215881906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 844001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)*l)**(-49))**(-5\/7)\/(l**12\/l*l\/(l*l*l\/(l\/((l\/l**7)\/l))*l*l))**(-35) assuming l is positive.\nAnswer: l**(2275\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 12:49 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -13. Suppose -2*g + 12 = 2*g, n = -2*y + g - 67. Let z = -23 - y. Which is the closest to 1\/4? (a) -5 (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101 (base 2) to base 16.\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 146479, 0.3, -0.4, -2?\nAnswer: 146479","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + j + 0*j)*(-22*j - 2 + 2 + 105*j) to t + c*j + q*j**2 and give q.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134 + 70 + 3*l + 64.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 537285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.53 - 4.53. Let m = -0.5 + -1.5. What is the third smallest value in m, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (0 - (-5)\/5). Does 44 divide (-37)\/(28\/24*r\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110580 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjkjjkjjjjjj. What is prob of picking 2 j?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179252?\nAnswer: 2, 41, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 10*c**2 + 6*c + 10. Let d(n) = n**3 - 11*n**2 + 6*n + 10. Let a(k) = 3*b(k) - 2*d(k). What is the units digit of a(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/6 + 0 + -61. Let x = 288 + -199. Let a = z + x. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**5 - 11*x**4 + 2569*x + 6*x**2 + 1 + 1271*x + 8*x**2 + 1856*x wrt x?\nAnswer: -20*x**3 - 132*x**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = 7*f - 2772. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73727653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 59. What is the units digit of ((-105)\/2 + -1)\/(7\/o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 86 - 4*k - 83)*(3*k + 2*k - 3*k).\nAnswer: -10*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(1\/2))**38*(j\/j**5)\/(j*j**(-2\/9)\/j) assuming j is positive.\nAnswer: j**(821\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4501 divided by 40268?\nAnswer: 4501\/40268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 121 = 146. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 12:35 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -2\/9 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 122002010 (base 3) to base 11\nAnswer: 9399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + (-10)\/3)\/((-4)\/1284) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2880) - (-2 + sqrt(320))**2.\nAnswer: -324 + 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2660 is divided by 222?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60740, -121476, -182216, -242960, -303708, -364460?\n\"Answer: -2*n**2 - 60730*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 266, 5, 3, 0, -6 in ascending order.\nAnswer: -6, -4, 0, 3, 5, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 151, 679, 1581, 2875, 4579, 6711?\n\"Answer: 3*g**3 + 169*g**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 16 = -5*i, 5*o + 1 + 10 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 5*l - 270903*l**2 + 270901*l**2 + 36*l**3.\nAnswer: 36*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 117.662733 nanoseconds?\nAnswer: 0.0000000000013618371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2282, -3873, -5454, -7019, -8562, -10077?\n\"Answer: n**3 - n**2 - 1595*n - 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 1:54 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 - 31582*l**3 + 6*l**2 - 5724*l**3 - 8*l**2.\nAnswer: -37306*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x + x)*(x - x - x) - 2 + 12*x**2 - 6*x**2 + 2*x**2 + (-x - 8 + 8)*(-x + 4 - 4).\nAnswer: 8*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1684 and 0.09.\nAnswer: 151.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1198398 and 1904?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1643*q**2 + q**3 - 1338*q**2 + 2324*q**2.\nAnswer: q**3 - 657*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -45 - e2?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/492 and -99\/90856.\nAnswer: 272568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 92232118*a**2.\nAnswer: 2*a**2*(a - 46116059)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, 241, 217, 175, 109?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -341?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 4*w - 2*j - 208 = -296, -w + j + j = -w for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -34159, -68290, -102431, -136588, -170767, -204974, -239215?\n\"Answer: -t**3 + t**2 - 34127*t - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473981 is divided by 7532?\nAnswer: 6997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = -0*l. Suppose 2*w = -2*c - 14, -4*w - 12 - 16 = -l*c. Let j(b) = 377 - 372 + 3*b - b. Let n(q) = 4*q + 9. Determine w*j(a) + 4*n(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1027917 and 10989?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 946585, 1893248, 2839911, 3786574, 4733237?\nAnswer: 5679900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 41?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*d + 486 + 154 = 78*d for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -352 divided by 3\nAnswer: -352\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5994 and 14.\nAnswer: 41958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**2\/2 + 1. Let x be i(-13). Let z(r) = -x*r**2 + 9*r**2 + 3 - 3. Let v(d) = 2*d. Give v(z(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + x. Let w(j) = -4*j**2 - 8*j - 2. Determine -3*q(y) + w(y).\nAnswer: -y**2 - 11*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -26. Suppose -2*z + 5*z = v. Solve 4*x + z = -12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b + 4. Let r(u) = -u**2 + 2*u - 4. Let g be r(4). Is 13 a factor of y(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 5*t = 10. Let q be (-453)\/11 + 4\/22. Let g = -46 - q. What is the biggest value in t, -0.2, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l**2)*l*l))\/l*(((l**23\/l)\/l*l*l)\/l*l)\/l assuming l is positive.\nAnswer: l**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8092, 64589, 217940, 516571, 1008908?\nAnswer: 1743377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 251040.4 + -251041.779907. Let w = q - -1.38. What is w rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 3*u. Suppose 2*t - 2*r - 192 = u, -5*t = -r - 83 - 417. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 33\/5 of a meter?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 148 = 27*w. Suppose w*q = b - 276, 5*b - 6*q - 1500 = -10*q. Is 298 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -23 - (3 - 13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2961205 = -2*a - 3*n + 807452, 5652973 = 3*a + 2*n. Let t = a + 4751679. Round t to the nearest 100000.\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-3*8\/12). Let f = -622 + 3177\/5. Let v = -474\/35 + f. Which is bigger: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25\/6 + (-7)\/42. Suppose -d = 2*f - 296, 5*f + 2*d - c*d - 749 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 406, -5, 34, 3 in increasing order.\nAnswer: -5, -1, 3, 34, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 99*a**2 + a - 1. Let c = 16 + -17. Is f(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9348)\/(-342)*(-42)\/(-574))\/((-5)\/22)\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyhhhhcykkmyycckhy. What is prob of picking 1 m, 2 y, and 1 h?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 4*x + 4, -6*x - 3 = 3*g - 3*x. Suppose -v - 77 + 88 = g. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162)\/(-2)*(58 + 6125\/(-105)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 - 4 - 5*q**2 - q**3 - 3. What is y(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i - 61. What is d(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5 + 0*k**2 + 4*k**2 - 4*k**2 + k**2. Let o = 15 - 15. Give p(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -1.6, -6\/47, 0, -4\/23, 0.4?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -353 + 3786. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + h**2 + h + 42. Suppose -5*w = -7*a + 2303, w - 93 = 5*a - 1756. Calculate the remainder when a is divided by j(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2603, 10906, 24747, 44126, 69043, 99498?\n\"Answer: 2769*b**2 - 4*b - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 1:44 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 5*c - 116. Let o = c - 14. Suppose -2*q + 0*q + o = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 16*u - 29. Let f be g(14). Let y be 4*-2*f\/((-16)\/(-20)). Solve -2 - y = -4*r, -18 = 4*i - 2*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*y = -941 + 542 - 591 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 67*p - 18 = 63*p, 4*p - 2 = 7*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g = 47 - 29 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 202\/2172415 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w. Let l(r) = -12*r**2 + 2*r**2 - 2*r**2. Determine l(b(p)).\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 121 = -4*z, 3*n + 2*n = 2*z - 83. Let r(x) = -x**2 - x**3 + 2*x**3 - 35 + z. Let y(a) = 4*a**3 - 5*a**2 - 5. Determine -5*r(p) + y(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 76*o**2 - 32*o. Let a = 25 - 28. Let s(k) = 7*k**2 - 3*k. Calculate a*q(t) + 32*s(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*r**3 - 8*r**3 + 7*r**3)*(-3*r - r + 2*r) + r**4 + 0*r**4 - 2*r**4.\nAnswer: -23*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142068?\nAnswer: 2, 3, 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -301 + 428. Suppose -2*q = -q - r. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10*w + 3. Suppose 2*b - b + n = 9, -3*n = 2*b - 23. Let i be (-4)\/(-24)*b*-3. What is l(i)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10030220 + -130201?\nAnswer: -10221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eighteen fifths of a microsecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677993026 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4}. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5\/2 - 208797*o**4\/2 + 2504724*o**3 - 1667496*o**2 - 160294656*o - 427468800 = 0. What is o?\nAnswer: -4, 16, 69575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28046452?\nAnswer: 2, 7, 1001659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 39 = -5*g + 57, 0 = -2*s + 3*g + 80. Suppose -3*h + 5*a = -119, 5*h + 3*a - 140 = 81. Let q = h - s. Solve m + 4*o = -q*o, 2*o = -m - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/120*7\/(-7))\/(36\/(-30)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 10:08 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006491 is divided by 335497?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2773466 + 3?\nAnswer: -2773463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 6*g - 11*g. Let d = 9 + 25. Suppose -323 = -g*h + d. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3.00034. What is l rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/(-36) - 2)*3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1048*y**5 - 58742*y**3 - 1542519*y**2 + 43.\nAnswer: 62880*y**2 - 352452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928722.\nAnswer: 2, 3, 154787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 + 1 - 5 + (-3 + 0 + 5)*(11 - 10 - 5))*(2*b - 6*b - b)*(15 - 262 - 154) to s*b + g and give s.\nAnswer: -14035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15792.453 hours in days?\nAnswer: 658.018875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -52?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**29))\/(r**(-5)*r))\/(r**(13\/3)\/r**(-2\/93)))**(-14) assuming r is positive.\nAnswer: r**(-12432\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/77 and -3\/1047319?\nAnswer: 11520509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 10*f**2 - 12*f + 14. Let q(i) = -i**3 - 12*i**2 + 14*i + 2. Suppose 2*t = 4*t + 26. Let a be q(t). What is the units digit of p(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-11)))\/b**(-2\/5))\/((b\/b**(-9\/4))\/b**(7\/2)) assuming b is positive.\nAnswer: b**(233\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 5*y + 0*y)*(-y**2 + 2*y**3 + y**2) - 10 + 16*y**4 + 10 + y - y + y**4.\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1756 + -1791.46. Let a = t + 35. Let v = 0.56 + a. Which is bigger: v or -4\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/5))**13 assuming n is positive.\nAnswer: n**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 4. Let v be t(8). Suppose z - 3*p + 4*p - 5 = 0, p + 10 = v*z. What is the remainder when 4\/18 + (-122)\/(-18) is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 28812.4.\nAnswer: 28812.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0*l**3 + 0 + 0*l + 1\/60*l**5 + 0*l**4 + l**2. Let g(x) = 0. Calculate x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 361571, 723154, 1084737, 1446320?\n\"Answer: 361583*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*i + 22 = 220*i + 217*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*g**2 + 4*g**4 + 16*g**2 + 31*g**6 - 4*g**4 wrt g.\nAnswer: 3720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*c = 230 - 46. Let k be c + 2 + 5 + -4. Let s(h) = 56*h + 1. Give s(k).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*((j**(1\/2)*j)\/j)\/j*j)**(-1\/24)\/(j\/(j**(-2)*j*j)*j**(-6\/11)))\/(j*j\/((j\/j**(5\/2))\/j*j)*j**3)**(-3) assuming j is positive.\nAnswer: j**(3341\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -240122120?\nAnswer: 240122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4274 - 13731 = 194*z + 8003 for z.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -70.6 * -63452\nAnswer: 4479711.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6115*i. Let n(c) = -109833*c**2. Calculate g(n(h)).\nAnswer: -671628795*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 2*w - 24. Suppose 0*d - 366 = -w*d. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -3 + (2 - 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.9 times 0.09?\nAnswer: -1.431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*r + 2 = 0, 4*r + 4 + 6 = x. Suppose 0 = -u - x. Which is the smallest value? (a) 2 (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9*r**3 - 6*r**2 - 7*r + 8. Let g be k(1). Let d(i) = -23*i + 3. Let h(w) = 22*w - 4. Give g*d(t) + 3*h(t).\nAnswer: -26*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/15, 27, 1, -18?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1083330, -2166660, -3249992, -4333326, -5416662?\nAnswer: -6500000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -232, -4, -133, 3?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-5))\/h)\/h**(-2)*h**(-3\/5)\/(h**(-2)*h) assuming h is positive.\nAnswer: h**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f**2 - 151*f + 13. Let z(c) = -6*c**2 + 93*c - 7. Let y(k) = -6*b(k) - 10*z(k). Give y(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ygygyygyyggyggyy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*v**3 + 213*v**3 - 1333298*v**2 + 1333298*v**2.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(108) - sqrt(108)) + sqrt(108))**2 - (sqrt(48)*5 - sqrt(3)))*-6.\nAnswer: -2592 + 114*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31790215 minus -0.0188533?\nAnswer: -31790214.9811467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - u**2 + 2*u + 287. Is n(0) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 694*v - 1970. What is the ten thousands digit of t(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wczmd. What is prob of picking 1 w and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**2 + 457*u - 16332. Determine g(66).\nAnswer: 762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1143, -7181, -22079, -49797, -94295, -159533, -249471, -368069?\nAnswer: -519287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 63 = 2*p - 75, 3*a = 2*p - 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573619230.\nAnswer: 2, 3, 5, 1571, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 246449345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**4\/6 - 11*x**2 - 5*x. Let j(n) = -252*n + 2. Calculate j(q(l)).\nAnswer: -1008*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4816 = -5*c + 4775, -20 = 4*c - 4*j for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120812019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -161 + 173. Calculate the lowest common multiple of k and 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-24)*(7 - (-164)\/(-28)). Let l be 11\/((-99)\/(-24)) + -3. What is the nearest to -2 in b, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4748910 is divided by 436.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 + 0 + 1)*(4*j + 3*j - 6*j) - 3*j + 3*j + j as z*j + c and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*x**3 - 10*x**5 - 43*x**3 + 15*x**3 - 15*x**3 - 9*x**5 + (-x**2 + x**5 + x**2)*(-2 + 1 - 1).\nAnswer: -21*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -53*q + 109*q + 11 + 18*q + 125*q. Let k be j(-9). Calculate the common denominator of ((-2)\/(-15))\/(-2 + (-3528)\/k) and 34\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 866344 divided by -8?\nAnswer: -108293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-117)\/65 + 55236\/20?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20.4, -3, 0.5, 2, 5 in decreasing order.\nAnswer: 20.4, 5, 2, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 19\/2*d**2 + 105*d + 0 - 1\/12*d**4 - 1\/3*d**3. What is the second derivative of x(p) wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -2 + 1)*1. What is the derivative of -2 - 7 + 2*z + n*z + 2 wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - (sqrt(12) - sqrt(192)))\/sqrt(4) + sqrt(3) + 0)**2 - sqrt(24)\/sqrt(128).\nAnswer: -sqrt(3)\/4 + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*n - 2514 + 1656 = -10093 - 2840 for n.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -0.21, -14\/83 in increasing order.\nAnswer: -0.21, -14\/83, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 7*d + 82 - 91 = 281, -14*d + 12*d = 80 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/88 and 49\/1107095.\nAnswer: 8856760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -590.9199 + 591. Let z = -5.0801 + h. Which is the third biggest value? (a) 5 (b) 24 (c) 0.2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119 + 118.89. What is the closest to p in 0.2, 1, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p - 7*p - 20*p**3.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92846 - 30954 - 30945 - 30947 + 47*y**2.\nAnswer: 47*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13\/277 - 12824\/4155. Calculate the common denominator of 21\/400 and w.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33732200 rounded to the nearest one million?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0.1. Let n(f) = 4*f**2 + 155*f - 199. Let v be n(-40). Which is the third smallest value? (a) -1 (b) v (c) 2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, -4\/5, 5\/3, 2, -6?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0 + 2. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:28 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + g - 5. Let i(z) = z**2 - 5. Let r(d) = b(d) - i(d). Let s(p) = -26*p**2. What is s(r(o))?\nAnswer: -26*o**4 - 52*o**3 - 26*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9917254007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 21*r**3 - 5*r**2 + 3*r - 19. Let u(v) = 43*v**3 - 8*v**2 + 5*v - 37. What is 3*u(a) - 5*z(a)?\nAnswer: 24*a**3 + a**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3200 divided by 17?\nAnswer: -3200\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 m when three letters picked without replacement from mddmmdd?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/(-8))\/((-3)\/(-8)). Let s be 3*l\/(-6)*1. Suppose 4*t - 5*f = 66, 85 = s*t - 0*t - 5*f. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124.18 - 124.1797996. What is m rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 396 - 424. Let d be 336\/49 + 24\/z. What is the highest common factor of 8 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -1000, 23, 3, 4 in decreasing order.\nAnswer: 23, 4, 3, -20, -1000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-212)\/56 + 8\/28.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338543, 338545, 338547, 338549, 338551, 338553?\nAnswer: 338555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 5\/6*a**3 + 3\/2*a**2 - 3*a + 4. Let n(b) be the first derivative of j(b). Differentiate n(w) with respect to w.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2. Let x(b) = -561055246*b**2. Give h(x(v)).\nAnswer: -314782989064120516*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 399\/572 + -7\/13. Let b = 107\/396 - o. Let p = 1.1 + 3.9. What is the second smallest value in p, -4, 16, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z + 21*z + 41560 = 42249 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656 (base 8) in base 12?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513208067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 23 = -2*g. Solve 32 = 11*u - g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107.9 + 108. Let w = 16 + -14. Which is the smallest value? (a) -1 (b) w (c) q (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/21320 and 37\/10660.\nAnswer: 21320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*n + 6*n - 10*n - 2*n - n + 2*n + 2*n - 2 + 2 + (-2*n + n - n)*(2 - 2 - 2))*(-2*n**2 - 2 + 2).\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 151492651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40906910 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**7\/7 - 4*u**3\/3 + 8. Find the third derivative of j(r) wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24873, -24861, -24833, -24783, -24705, -24593?\nAnswer: -24441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in 3\/5, 0.1, 13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {y: 2, s: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 83*z**3\/3 - 29*z**2\/2 + 25*z. Is i(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2759613352.\nAnswer: 2, 19, 18155351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12338, -12303, -12268?\n\"Answer: 35*k - 12373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 110 + 94 = 0. Let s = u + 63. Suppose 0 = 5*d + 3*r + 57, 5*r - s = d + d. Is d smaller than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -7*q**2\/5 - 358796*q + 256283\/5 = 0.\nAnswer: -256283, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1764\/(-27))\/((-4)\/(-30)). Let y = 808 + l. Suppose -82 = -2*k + y. What is the highest common divisor of 25 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-6))\/((-2)\/(-3)). Suppose 4*k - 2*z + 2 - 12 = 0, z = s. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 164929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2778*q = -2723*q + 550 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 95 + 113 = 5*z. Suppose -5*s + s + 36 = 0. Solve 6 = -s*m + z*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0063985 to four dps.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 349, 654, 951, 1234, 1497, 1734, 1939?\n\"Answer: -k**3 + 2*k**2 + 306*k + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/11 + 45911774*c\/11 + 91823540\/11 = 0. Calculate c.\nAnswer: -22955885, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 1065.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -98*t - 2. Is i(-3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 7*w + 572 = -11*w, -5*w + 146 = -5*y + 2*y for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-144980)\/(-1650) + ((-28)\/15 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76433773 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*l + 83*l + 2*u - 10 = 0, 25 = 5*l + u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnb when three letters picked without replacement from {n: 3, b: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*q - 100*q - 108*q - 105*q - 104*q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 6*w. Let p(q) = -2*q**3 - q**2 + 12*q. Let m(b) = -7*k(b) + 3*p(b). Suppose -79*g - 99 + 573 = 0. Is 12 a factor of m(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - -181316)\/(-19 - -1). Let h = -10080 - k. What is the common denominator of h and (-10)\/(-16)*(340\/(-7))\/(-5)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/16 + (-68)\/128*-28. Suppose 17*v - 168 = r*v. Calculate the remainder when v is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 117\/52*(-8)\/(-6). Let b(p) = 11*p - 15*p + n*p. Let h(x) = 3*x + 1. Let o(a) = -4*b(a) - h(a). Find the first derivative of o(r) wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 - 858\/(-4). Let c be z\/14 - (-2)\/(-7). Let k(o) = o**3 - 14*o**2 - 15*o. Let m be k(c). Solve j + m*j = -4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/20 + -1\/4. Let t be 2\/(-4)*(-14)\/(-21). Do s and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Let b = j + -5. Let c be -3*((-51)\/18 - -2)*-2. Sort 3, b, c in decreasing order.\nAnswer: 3, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1918824?\nAnswer: 2, 3, 17, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + (6 - 41)*(-34 + -3)?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = 11*h - 1005*y + 1001*y, 4*y = 8*y - 68 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1\/5 (b) 4.9 (c) -3.4 (d) -0.4 (e) 28 (f) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0994 - -0.5\nAnswer: 0.5994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00138608748 rounded to 5 dps?\nAnswer: 0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2513 = 9*z - 2*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*c**3\/17 + 25034*c**2\/17 + 31282*c\/17 + 368 = 0. Calculate c.\nAnswer: -3128, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10 + 92\/14490*-399*6\/23\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsve when four letters picked without replacement from {q: 6, e: 1, v: 2, s: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -8. Let g(x) = 0 - x**3 - 21*x**2 - 5*x + x + 30*x**2 - 1 - 4*x. Calculate g(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, b: 5}. Give prob of picking 1 l and 3 b.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -49, -75, -103, -133?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24528, -49071, -73614, -98157, -122700, -147243?\nAnswer: -171786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 11 + 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52084361 to the nearest integer?\nAnswer: 7217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 + 1\/(-2). Suppose o = -y - 0*y - 5. Let f = 23864 + -23861. Sort y, f, 0 in decreasing order.\nAnswer: f, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/389621 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 - 6 = -3*o + 4*u, 225 = 5*o - 4*u. Let d = o + -28. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*g**3*h**5 - 8*g**3*h**2*u + g**3*h*u + 3*g*h - 2*h*u + 186*u wrt h.\nAnswer: 180*g**3*h**3 - 16*g**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4546 - 4547. Put 3\/2, a, -2\/7, -4 in descending order.\nAnswer: 3\/2, -2\/7, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/4*(-1498 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 84?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (60\/14)\/(1\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1560530 to the power of 1\/2, to the nearest integer?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.867 * -43.1.\nAnswer: -37.3677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12861 - -12856. What is the closest to 1\/3 in -2, -1, y, 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 138300877 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.231545672 to 2 decimal places.\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:13 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29091?\nAnswer: 3, 9697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1028504 by -257126.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -162 + 5817 + (-2*5)\/2?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3\/3 - 127*f**2\/3 + 1878289*f\/3 + 1878415\/3 = 0. What is f?\nAnswer: -1435, -1, 1309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 1443 + 7*d + 5*d - 12*d + d.\nAnswer: 2*d + 1443","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1437 and 1.8715.\nAnswer: 0.26893455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4919.579 weeks in minutes?\nAnswer: 49589356.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/115 and -4\/161.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 125544.2 kilometers?\nAnswer: 125544200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from xhvhxxnyhhhhxnxxhh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, g: 6}. What is prob of picking 3 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 582 divide 615212051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -383461\/10 - -38315. Let v = u + 31. Sort v, -2\/5, -4.\nAnswer: -4, -2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 - 3*v**4 - 3*v**4 + 0*v**4 + 4*v**4 + 40*v**2 to the form d*v**4 + f*v + r + b*v**3 + j*v**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.261 - -0.061. What is the third biggest value in h, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3382.\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(-7 - 4*g**3 + 421*g - 422*g + 14*g**3).\nAnswer: -10*g**3 + g + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*o + 21 - 47 - 95 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14040208 by 7.\nAnswer: 2005744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -404.608543 rounded to 1 dp?\nAnswer: -404.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**2\/w)\/w*w)\/w)\/w*(w\/(w\/(w**1*w)*w))\/w)\/(w\/(w\/(w*w\/(w\/(w\/(w*w**(-2\/9))))))*w**(-3)*w*w*w*w*w) assuming w is positive.\nAnswer: w**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 532813, -78 in increasing order.\nAnswer: -78, 2, 3, 532813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**3 + 186*o**2 + 365*o + 1240. Calculate p(64).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -135 + (-94000)\/(-375) - 115\/15.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*p, -p + 5*x = -0*p + 3. Suppose 0 = -3*b + 5*b - p*v - 24, -5*v = b + 12. Calculate the lowest common multiple of b and (-27)\/(-3) + (-2 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 2*y + 1 + 1 + 2*y**3 + 2*y**2. Let w be (-9 - -9) + 1*2. Let k(j) = -2*j**3 - 2*j**2 + 2*j - 1. Calculate w*b(l) + 3*k(l).\nAnswer: -2*l**3 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*p - 3)*(19*p + 11*p + 3005*p**2 + 17*p - 47*p).\nAnswer: -6010*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e - -9?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.9 + 0.1. Let o = 5.965 - w. Let u = 0.203 + o. Round u to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 0*g**3 - g**3 - 3*g**2 + 8*g**2 + 3*g**2 - 4 - 5*g. Let x be 4 + -5 - (-8 - -1). Is w(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7562294 a multiple of 824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/93720 and 65\/48.\nAnswer: 187440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50875*q**3 + 6*q**2 + 3*q**2 - 9*q**2.\nAnswer: -50875*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -s - 3*k + 5*k, -3*k - 34 = -5*s. Suppose 10 = -2*b, s*v - 9 = 5*b + 26. Let r be -3 + (42\/v)\/(-3). Round r to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-153)\/(-252) + 3\/(-4). Which is smaller: b or 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (242865\/6)\/((-1)\/(-2)). Suppose 0 = -0*j + 3*j - y. Suppose -3*r + 3*i - 81009 = 0, 0*i + 5*i + j = -r. Round r to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= -33102.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**3\/3 + 5*y**2\/2 + 2*y + 1. List the prime factors of w(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27227645 (base 8) to base 12\nAnswer: 2066205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/14 + -20 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + 4.01. What is the second biggest value in 3\/8, p, -0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 12906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 780 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -103*q - 19. Let v(g) = -309*g - 57. Let c(o) = -3*v(o) + 8*x(o). Differentiate c(r) with respect to r.\nAnswer: 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 24 - 24 - o**2. Let c(q) be the first derivative of -9*q**2\/2 + 19. Determine c(g(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3224420.\nAnswer: 2, 5, 161221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -43, -6, -4, 14\/13, 1\/7, 0.08?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 805499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/5 + 2379\/305. Let n be 0 - 2*-1 - 5. Let f be y + n - (-4 - -4). Solve 0*s + f*s - 3 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 216\nAnswer: 11\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 + 5*b**2 + b + 1. Give g(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3900) - (-2*sqrt(3900) + sqrt(3900))*6)*-5)\/((-1*sqrt(3993))\/(sqrt(275) + 1*sqrt(275))).\nAnswer: 3500*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -97 - ((-8)\/2 - -1). Which is greater: -93 or n?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 33 = -4*j + 209, 102 = s - 4*j. List the prime factors of s.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7303546, 7303550, 7303554, 7303558, 7303562?\n\"Answer: 4*l + 7303542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.62 <= -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(450)*1 - sqrt(450) - sqrt(18))\/sqrt(9) + (1*sqrt(2178))**2)*1.\nAnswer: -sqrt(2) + 2178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 587.1944 microseconds in seconds?\nAnswer: 0.0005871944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + sqrt(1008)*-4 + sqrt(1008) + sqrt(1008) + -2 + -2)**2.\nAnswer: 672*sqrt(7) + 4228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**3*w*y - 11*q**3*y**4 + 1548*q**3 - 115*q*w*y**4 + q*y wrt y?\nAnswer: -132*q**3*y**2 - 1380*q*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5100)*2*3)\/(-2*sqrt(12)*-5).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 - y**3 - y**2 - y**2 + 2 - 5 in the form g*y + w*y**2 + j + s*y**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 27*s - 345. Let r be c(12). Sort -2, r, -3 in ascending order.\nAnswer: r, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2496 = -166*p + 10*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/3))\/k*k\/((k\/(k\/k**0))\/k))**(10\/9)\/((k**(1\/2)\/k)**(4\/7)*(k**(-1))**(-13)) assuming k is positive.\nAnswer: k**(-1843\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -814, -810, -806?\nAnswer: -802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a minute in seconds?\nAnswer: 795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 4*w + 6 = -4*g, -g + 5*w = 18. Let h = 1 - g. Which is the smallest value? (a) -2\/5 (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 + 48 = 5*a - 4*u - 11 - 49, -31 = a - 5*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 155 + 617304?\nAnswer: 617461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 9:06 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 13*r = 3*o - 14*r - 42, 2*r = 5*o - 39 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + 1. Let v = -6 + y. Which is the closest to -1\/2? (a) 1 (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6*k + 8)*(4*k - k - 4*k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1696*h**3 + 15*h**2 + 2806*h - 5. Let l(o) = -848*o**3 - 9*o**2 - 1407*o + 3. Let n(q) = -3*i(q) - 5*l(q). Find the second derivative of n(a) wrt a.\nAnswer: -5088*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 - q**5 + 9*q**5 + (-4*q**4 + 0*q**4 - 2*q**4)*(q + 2 - 2).\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 3*o + 4. Let x be m(-4). Let u(j) = j**2 - 6*j + 2. Let d be u(6). Let a = d - x. Calculate the lowest common multiple of a and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by -15*(426\/(-165) + 48\/264).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.475806573 rounded to 4 decimal places?\nAnswer: -0.4758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aii when three letters picked without replacement from {i: 4, a: 6}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 14 = -5*b + b, 2*b = -3*w + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -1000?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25042?\nAnswer: 2, 19, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-16) - 2\/(1\/1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468*((-3)\/5 + (-33)\/(-30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 855661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*b - 5*n + 104, 3*n = -b + 19. Which is greater: b or 1104\/37?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4cb5 (base 14) to base 15\nAnswer: 3ee2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 310 = 2482. Suppose 7*d - 2*d + f = 1700, 2*d - v = -4*f. Suppose -3*w - 40 - d = -4*g, -2*w = 2*g - 172. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5025, 10125, 15225, 20325, 25425?\nAnswer: 30525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (2 + 0 + 0)) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p - 1. Let x(c) = 2*c - 2. Give -4*n(g) - 2*x(g).\nAnswer: 4*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 7*d**2 + 8*d - 19. Calculate the remainder when p(-5) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21963436877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j + 41. What is m(20)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2344, -3350, -4356, -5362?\n\"Answer: -1006*y - 1338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 4\/5, 2.9, -1\/6, -2, 1\/4 in descending order.\nAnswer: 37, 2.9, 4\/5, 1\/4, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 58649.77l?\nAnswer: 58649770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Suppose -4*v - 5 = l, -v + l = -g*l - 15. Solve 0 = -3*w - h + 10, -4*w - 3*h - h + 24 = v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18031023, -36061989, -54092955?\n\"Answer: -18030966*w - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1866.9 - -1868.9. Which is the second biggest value? (a) -291 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/15)\/(1\/((-3)\/2)))\/((-5768)\/28840)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5979.7 and -0.12.\nAnswer: 717.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 25 = -5*w, -2*w + 75*j - 79*j = 4 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/36495 and 77\/6488.\nAnswer: 291960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 18)*(w + 1 - 1 + (5 - 3 - 1)*(-w + 3*w - w)).\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48648 is divided by 623?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3*n**3 + 403645*f**2*n**3 + 25*f**2 - 3*f*n**3 - 2*f*n + 251*n**3 - 3*n**2 - 53*n wrt f.\nAnswer: -12*f*n**3 + 807290*n**3 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1318 + 1578. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoaaxooxaxoxxxxxx. Give prob of picking 2 x and 2 o.\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 15. Calculate the common denominator of c and 248\/30 + 2\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 925 is divided by (-4830)\/(-84) - 2\/(-4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/3, 5, 51 in decreasing order.\nAnswer: 51, 5, 2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 = 0, 5*f - 1322 = -0*f - 2*g. Suppose -f = -5*l + 231. What is the greatest common factor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from jgvvjjfvyty?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 2*v - 20 = 0. Suppose v*x + x = 10. Which is bigger: 3 or x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, -236, -938, -2306, -4562?\nAnswer: -7928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = -12. What is the remainder when -1 - 1 - (-13 + -20) is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66830 is divided by 74?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2 - 3*q + 5*q**2 - 2*q**2 + 15. Let i be t(-9). Suppose -3*y = 3*a - y - i, a = 3*y + 109. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b = 0. Solve b - 2 = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1373362062 and 6417?\nAnswer: 2139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-30)\/(-78)) + 2. Suppose -3 = 12*i - l*i. Suppose -9 = -3*y - 3. Solve 5*h + 26 = -y*o, 5*h + 18 = o + i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3 - (-208)\/108)\/((-1846)\/(-2769))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 318582.03 + -316945. Let z = o - 1627. Let n = -0.03 + z. What is the second biggest value in -0.5, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**4 + 2*m**4 - 3*m**4 + (-2*m**3 + 0*m**3 + 0*m**3)*(0*m - m + 2*m).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -3*c**4\/4 + 3*c**3 - 12*c - 25. Factor l(i).\nAnswer: -3*(i - 2)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 41772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 917 = y + 19*y + 1217 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3519143860 to the nearest integer?\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -17*c**3 - 9*c**2 + 10*c - 13. Let r(p) = 71*p**2 + 1205*p - 21. Let y be r(-17). Let a(x) = 8*x**3 + 4*x**2 - 5*x + 6. What is y*a(v) + 6*n(v)?\nAnswer: 2*v**3 - 2*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(700) + ((sqrt(700) - -1*sqrt(700)) + 5 - sqrt(700)) + sqrt(700) + 3)**2 + 4 + 4.\nAnswer: 480*sqrt(7) + 6368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/((q**14*q)\/q)*q*q*q*q)\/q)\/((q\/(q\/(q\/q**(1\/7))))\/q*q))**(-43) assuming q is positive.\nAnswer: q**(2967\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 4 - 86 = -15*a. Solve m + 24 = 5*t, a*m = 17*t - 20*t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7, 6, 17, 52, 123?\n\"Answer: 2*v**3 - 6*v**2 + 3*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.6184 millilitres to litres.\nAnswer: 0.0586184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219465, 219466, 219467, 219468?\nAnswer: 219469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 16*k = 84. What is the remainder when 19 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1210, -4859, -10942, -19459, -30410?\n\"Answer: -1217*d**2 + 2*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t + 1. Let o be r(-2). Let j(q) be the second derivative of 0 - q + 0*q**3 - 1\/9*q**6 + 0*q**4 + 0*q**2 - 1\/15*q**o. Factor j(h).\nAnswer: -2*h**3*(5*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 24 = -12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 399 by 59833.\nAnswer: 399\/59833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 3*m = -2*t - 118, 83 = 3*m + 4*t. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275 = 5*d - 60*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*y + 8*y + 33, -2*y - 4*s - 24 = 0. Let t(l) = -l**3 - 5*l**2 + 5*l + 9. Calculate t(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f806 + -b2?\nAnswer: 2f754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89618058?\nAnswer: 2, 3, 127, 197, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 5, 1, 0, -4397, 9.\nAnswer: -4397, -8, -1, 0, 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 67121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - j**2 - 30*j + 2. Let o be m(6). Let h = -0.14 + -1.86. Which is the nearest to o? (a) 2 (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*3\/(-6) - 58\/(-4). Suppose h*w + 82 - 442 = 0. Calculate the least common multiple of w and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**5 + 2*u**4 + u**3 - 3*u**2 + u + 1. Let x(t) = -t**3 - t**2 + t + 1. Let i(m) = 2*q(m) - 2*x(m). Factor i(d).\nAnswer: -4*d**2*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -12509?\nAnswer: -12507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -986208.5 rounded to the nearest 100?\nAnswer: -986200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-2)\/30)\/1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b + 15. Calculate i(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {p: 3, m: 1, l: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/13 (b) 0.314 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 + 30*h**2 - 14*h - 22. Let g be d(-15). Suppose -185*k + g*k = 237. Round k to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -15*u. Let k be d(-1). Let l be (-10)\/k - (-711)\/216. Which is bigger: l or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oknooakonqk. What is prob of picking 1 a, 1 n, and 1 q?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*d**3 + 1543*d**3 + 266*d**3.\nAnswer: 1618*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1200\/(-7800)*(-65)\/85?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -416 - -627. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2*u + 1 = -5*q + 52, -2 + 7 = 2*u + q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*b + 1752*b + 952*b.\nAnswer: 2665*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 (base 9) in base 11?\nAnswer: -12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 4*h**2 + 3*h**2 - 5*h**2 - 8 + 9*h. Let d be j(-10). Let t = 4 + -2. Solve d*a + t = 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or -42818\/865?\nAnswer: -42818\/865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*q**2 - 111*q**2 - 94*q**2.\nAnswer: -152*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*d + 24 = 47*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in -5, -9\/5, -1\/3, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 100 = -30. Let h be 0 - (0 - -4 - 2). Put i, h, -3 in decreasing order.\nAnswer: i, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-4 - 1 + 6)*(21*i + 55*i + 132*i).\nAnswer: -416*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 12:04 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106711 - -106713. Suppose 0 = -2*j + j + 6. Solve i*d = j + 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*l**4 - 12\/7*l**2 + 0 - 4\/7*l - 1\/7*l**5 - 13\/7*l**3.\nAnswer: -l*(l + 1)**2*(l + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1111868438 to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31 or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 36*i**2 - 26*i - 23. Calculate t(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 12*r**2 + 57*r + 108. Calculate m(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 52.83 and -0.099.\nAnswer: -5.23017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + 1*sqrt(200) + 3*(-2*sqrt(200))**2 + 1).\nAnswer: 30*sqrt(2) + 7218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2324 + -122840151.\nAnswer: -122840150.7676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17118 + -119604\/7. Let k = 32 - b. Sort k, -2\/5, 5, 0.4 in ascending order.\nAnswer: -2\/5, k, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/(-16))\/1)\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + h**2 - h**2 + (-4*h - h + 0*h)*(-10*h + 79*h + 4*h + 67*h).\nAnswer: -698*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 - (-3 + 2 - (-8 + 10 + -13 + 8)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqocttj. Give prob of sequence tq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + z - 86, b + b + 5*z = 34. Let p = 25 - b. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/6885*-9)\/((-1)\/10)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51700.52l to millilitres.\nAnswer: 51700520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/(-9) - 2\/(-6). Suppose -76 = 5*v - 3*x, 0 = -0*v + a*v + 2*x + 91. Let r = -9 - v. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 595.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t - 4. Let p(w) = w + 2. Let l(v) = v**2 - v - 1. Let h be l(-2). What is h*p(b) + 2*x(b)?\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -v + 6*v. Let c = v + 5. Suppose 4*p - 25 = 3*k, -p - 3*p = c*k - 50. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*o + 4*o = 10, 29 = -3*k - 4*o. Let b = -3 - k. Let i = 0 + 2. Solve i*v = b*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -255340 or -255345?\nAnswer: -255345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 5*v - 1. Suppose -5*a - 18 - 2 = 5*p, 8 = p - 5*a. Let l(y) be the first derivative of y**3\/3 - y**2 + 3. Determine p*u(h) + 5*l(h).\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 800559.\nAnswer: 3, 88951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) 5 (b) -109 (c) 11 (d) -7 (e) -2 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.29? (a) -1\/5 (b) 4 (c) 2\/31 (d) 1 (e) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 4*r**2 + 3*r + 4. Let o be (17 - 16)\/((-1)\/(-3)). Let d be g(o). Solve 4*q - d*y - 8 = 0, -5*q + 5*y = -q - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7*(4\/2 - 1). Let x = h + -4. Suppose -21 = -x*a + 21. What is the remainder when 41 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77500 and 2882500?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*r = 611, -4*r + 4 = -8. Suppose 0 = -620*a + q*a + 30. Solve 12*b - 2 = a*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 98 = -12*s. Suppose 0*u + 2*u + 3*o - s = 0, -4*o + 149 = 3*u. Calculate the least common multiple of 10 and 138\/33 - 10\/u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 37, 0.1, 113, 5, -0.12, 0.09?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-8)*(1\/1)\/(-2))\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16349\/6 - -2718. Find the common denominator of -1\/39 and i.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021978401 to 5 decimal places.\nAnswer: -0.02198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -5. Let x be 2380\/21 + k\/(-3). Let n = x + 54. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-170)\/6)\/(((-3200)\/(-120))\/(-16))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 1\/119, -4 in decreasing order.\nAnswer: 1\/119, -0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 249.16812 to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32026287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*l**3 + 10*l**3 - 27*l**3.\nAnswer: -71*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-708)\/(-70) + 86\/301)\/((-18)\/(-72585))?\nAnswer: 2, 13, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, m: 11, n: 1}. What is prob of sequence mm?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*s - 48 = 47*s. Let i(r) = 2*r**2 + 4*r + 4. Let m(d) = d**2 + d + 1. Give s*i(z) - 12*m(z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 11:48 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + (-6 - (30 - 6 - 13) - -55)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.21 + -15.21. Let j = 16 + o. Which is the nearest to j? (a) 1 (b) 2\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1794 and 9771.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2.65, 4, 3.06 in ascending order.\nAnswer: -2.65, 2, 3.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*b**6 - 188 - b**2 - 23*b**6 + 6 - 9*b**3 wrt b.\nAnswer: 2760*b**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 291381*a**2 - 1789*a + 30 wrt a?\nAnswer: 582762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 10. Calculate x(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 90.76717ug?\nAnswer: 90767.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3, 439 in increasing order.\nAnswer: -20, -3, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23774 is divided by 49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 5)*(-1 - 5 + 2)*(-4*r + 0*r + 6*r)*(-6 + 14 + 4) in the form c + h*r and give h.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/20 + (-38)\/(-10). Suppose -12 = -5*p + 5*n + 98, j*p + 3*n - 116 = 0. Factor -g - 26 + g**3 + p.\nAnswer: g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 151583987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2449757.5993542 - 0.5993542. Let v = -2449757.04300036 + c. Let i = -0.043 - v. Round i to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 35176, 69402, 103628, 137854, 172080?\n\"Answer: 34226*w + 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3061536, -24492370, -82661782, -195939060, -382693492?\nAnswer: -661294366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, -13, -67, -143, -241, -361?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 0.05 (c) -11 (d) 20409 (e) -1\/3 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70*r + 32*r + 144 - 141)*(-2*r**3 + 3*r**3 - 2*r**3) to the form g*r**4 + w*r**3 + m + l*r + n*r**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s = -56*s + 3, d = 2*s + 690. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 99298*q + 40150152.\nAnswer: (q - 98892)*(q - 406)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q*q\/(q\/(q*(q\/q**(-3\/4))\/q))*q)\/(q**(-1\/5)\/(q**4*q)) assuming q is positive.\nAnswer: q**(199\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/28)\/(0 - 18\/(-14)). Determine y so that 0 + 2\/9*y + 0*y**2 - a*y**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -460 - -478. Let t(z) = z + 26 + 14 + 5. Let d be t(0). Calculate the highest common divisor of d and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 13 = -w - 0*n, -10 = 4*w - 2*n. Let b = 4 + w. Solve x + 10 = -3*s, x + s = -b*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 6:39 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6)*(2 - 5). Suppose 5*v = -5*g - 15, 7*v = -w*g + 2*v - 9. Let h(s) = -s**2 - s. Let n(t) = 2*t**3 + 3 - 1 - 2. Determine g*h(p) - n(p).\nAnswer: -2*p**3 + 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6*j = 5*j + 91, -j - 2 = 0. Calculate the remainder when m is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcoq when four letters picked without replacement from quohuuuhucpupopuuqp.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**5 + 2*h**5 - 3*h**5 + (6*h - h**4 - 6*h)*(4*h - 6*h - 10*h) - 4*h + h**5 + 4*h - h**2 - 4*h**5 + h**2.\nAnswer: 11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171627006 is divided by 853.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.512 - -0.373. Let h = g + 0.115. Let r = 0.46 - 0.06. Which is the smallest value? (a) -3\/2 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/52 - (-1408)\/3744\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -32*p + 234. What is the remainder when 163 is divided by l(6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and (96\/30)\/(4\/150)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -15*x**4 - 697836*x**3 - 3767817*x**2 + 2791056*x + 1674612 = 0.\nAnswer: -46517, -6, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1245873981 to the nearest integer?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n - 5*n + 4277. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(12) + -4*sqrt(12)*-2) - ((2*sqrt(84) - sqrt(84))\/sqrt(2))\/sqrt(6).\nAnswer: -8*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1702, -981 in increasing order.\nAnswer: -1702, -981, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/(-14))\/((-81)\/(-1134)*-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 494 - 281. Let r = 213 - q. Solve r = -z + 3*a + 11, -3*a + 7*a = -5*z - 21 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*b**3*g**2*m**3 + 1686*b**3*g**2 + 2*b**2*g**2*m + b**2*g*m**3 + 13*b**2*g*m**2 + 3*b*g**2 - b*g*m**3 wrt b?\nAnswer: 48*g**2*m**3 + 10116*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 37 = 29. Let f be ((6 - 4) + -1)\/(x\/(-34)). Let b = f - 6. Calculate the greatest common factor of b and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 2*u. Suppose n + 9 = -u*n. Let a = n - -12. Solve 0 = a*v + 5 + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 729724, 730734, 731744, 732754, 733764, 734774?\n\"Answer: 1010*x + 728714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7946, -16019, -24222, -32555, -41018, -49611, -58334?\n\"Answer: -65*v**2 - 7878*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 8*g**2 + 2*g**2)*(-2 + 4 - 5 + 2).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 523*q**2 + 627*q + 285. Is k(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 0.1 (c) -156 (d) 4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) -160 (c) -0.2 (d) -0.4 (e) -238 (f) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.7 - 2.7. Let j = 31.769 + -10.707. Let u = j - o. Round u to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1899\/47475)\/((-1)\/(-10))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and 2581.\nAnswer: 77430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 6. What is the smallest common multiple of 1*(-1 - -13)\/4 and 2\/w - (-23)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -9 + -4 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 34. Which is greater: 2\/25 or u?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - -9. Let d = u - 18. Sort 0.5, d, 4\/7 in descending order.\nAnswer: d, 4\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 0*p**2 + 7*p**2 - 7*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -105.485\nAnswer: -421.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2953616 is divided by 1476363?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2143576.5 times 0.2?\nAnswer: 428715.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/3)\/(1\/4). Let o(r) = -2*r**3 - 40*r**2 + 2*r + 41. Let u be o(-20). Let m = n - u. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(84)\/sqrt(6))\/(sqrt(18)\/sqrt(81))*-3.\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (408\/(-1088))\/((-1)\/8). Solve -4*i = -t*m - 13, 8*i = 11*i - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4325?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 854109 to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**3 + 3*i**3 + 10*i**2 + 5*i**3 + i**3 wrt i?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -9 (c) -0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7243681172 - 7243681201.80000149. Let v = -57.8 - -28. Let i = v - j. Round i to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 + 21956*u + 241032968.\nAnswer: (u + 21956)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125048 and 534499?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/5)\/p**(2\/15)*(p**(-2\/3))**(-17\/5) assuming p is positive.\nAnswer: p**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72146 - -72147. Suppose v - 2 = 2. Let x = -2.2 - -2. Which is the closest to 2\/7? (a) v (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-5))\/((-4)\/20). Let m(s) = -9*s - 3. Let i be m(j). Is 67\/5 - 6\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 924 - 930. Let t(q) = 280*q. Let p(s) = 7*s. Determine w*t(d) + 238*p(d).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -77661 - -467?\nAnswer: -77172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71982 (base 11) to base 4.\nAnswer: 121220211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-1)\/(-6)*(-3 + 18)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 1278*z = -1275*z - 140, 2*u - 23*z + 18*z = -244 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000081382 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2880*l + 1038*l**2 - 414720 - 2062*l**2 + 1019*l**2.\nAnswer: -5*(l - 288)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-2 - -5) + (22 - (-18 + 13 + -11))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (-9)\/(-2))*992\/12. Let a = 887 - s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 801872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*c**4 - 24*c**4 + 19*c**4 + (-22 + 11 + 13)*(-c**4 - 2*c + 2*c).\nAnswer: -17*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -425, -851, -1267, -1673, -2069, -2455?\nAnswer: -2831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 176 = -4*j, -2*j - 5*m + 106 = -3*m. Suppose -2*h + 223 = j. Calculate the highest common divisor of 58 and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -56 - 0 - (-2 + 0). Calculate the remainder when (-2 + 0)\/(-2) - n is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1161 and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 443, 896, 1349, 1802, 2255, 2708?\n\"Answer: 453*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, z: 1, g: 3, v: 3}. Give prob of picking 2 s.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.74386 * 5.\nAnswer: -18.7193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000099417888 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2773 by -2.\nAnswer: -2773\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 7*l + 170. Let v be (-191)\/11 - 212\/(-583). Let f be h(v). Which is smaller: f or 1\/209?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 6*v + 8. Let q be b(-6). Let m be (-12)\/(-48) - (-26)\/(-8). Let o = m + q. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-776)\/873*3\/(-16)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133540771 or 133540770?\nAnswer: 133540770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1374623\nAnswer: -4\/1374623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*s = -38050, b = s + s - 38064. Round b to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-2)*128\/((-14976)\/117).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1003 - 0?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 22241.6 decades?\nAnswer: 222416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 168.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 792 + -791.544. Which is the biggest value? (a) -2\/5 (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2960 divided by -370?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 times 2?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 + 5*n + 3. Let a(p) = 21*p**2 + 25*p + 16. What is -2*a(x) + 11*q(x)?\nAnswer: 2*x**2 + 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q**3 - 5*q**2 - 5*q + 5. Give c(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66466.\nAnswer: 2, 167, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a - 15. Let p = -7 + a. Put p, 5, -3 in decreasing order.\nAnswer: 5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (176\/(-220))\/(-2*(-1)\/345). Which is greater: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 + 4*z**2 - 13*z + 9. Calculate n(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - ((-8 - 103) + 4). Let x be ((-8)\/230)\/(1012\/s). Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-1)*17\/68 - -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 smaller than -8\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2116*n**3 - 17*n**2 - 2112*n**3 + 17*n**2.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -6. Let o = -4 - p. What is the third derivative of -11*u**2 - 3*u**5 - 2*u**5 + 4*u**2 + o*u**5 wrt u?\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 103, 3.\nAnswer: 3, 4, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -20107 and -20108 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2412 and 4.\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117 - -165. Suppose -11*s + 7*s + y = 0. Suppose s*b - 298 = 10*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 19157.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*l + 30 = 0, 71*q - 4*l + 28 = 67*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8077513 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**4\/12 - 3*j**3\/2 - 3*j**2. Let w(d) = -d + 4. Determine 2*m(l) + 5*w(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(143)*4)\/(-2*sqrt(176)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*k - 2*m, -5*m + 2*m = 5*k - 20. Which is greater: k or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(15\/(-18)) + 3. Let i be (0 - 1) + s - -5. Solve 0 = 2*w + i - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -5. Let t = z - -15.1. Let y = 1 - t. Which is the third smallest value? (a) 1\/3 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170250 and 121250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b = -7*w - 56, 4*w - 36*b = -38*b - 32 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4626090.99 to the nearest one hundred thousand.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x - 13. Suppose 0 = 5*l + 2*y + 2*y + 55, -l = 5*y + 32. Let b(u) = 2*u - 4. Let o(z) = l*b(z) + 2*g(z). Let t be 20\/120*(0 - -12). Give o(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -71158298.\nAnswer: 213474894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 66927907285\nAnswer: -66927907274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from appbivll. What is prob of sequence bpl?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1 + (3 - 4 + 2)*(-1 - 3 + 3) + 0 + 2 - 1 - 4 - 3 + 2)*(-2*w**4 + 3*w**4 - 3*w**4) to the form h*w + s + j*w**3 + n*w**4 + l*w**2 and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -v - 12. Let i be (-11)\/(-3) - v\/9. Find the first derivative of 2*s**4 - 8*s**i - 30 + 35 wrt s.\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21240, 21076, 20800, 20412, 19912, 19300, 18576?\n\"Answer: -56*l**2 + 4*l + 21292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6248854*l + 51475480 wrt l.\nAnswer: 6248854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/21 and -51\/8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 983 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*r**3\/5 - 1828014*r**2\/5 - 1218682*r\/5 - 203114\/5.\nAnswer: 2*(r - 101557)*(3*r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 15*z + 11. Let y be v(-10). Let k = 52 + y. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.743 to 1 decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*z - 57, -4*f + 5*z + 30 + 3 = 0. Let l = 149 + -20. What is the remainder when 0 - l\/((-12)\/4) is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 62?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 8*j = -3*j - 23, 2*s - j + 3 = 0. Which is the second biggest value? (a) 3\/7 (b) -0.024 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 16. Does 9 divide 187\/l - 2\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -102*y + 4154. Let l be m(41). Which is greater: 256 or l?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -167. Let w = g - 106.99999923. What is w rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1493.20487044 + 5022.20489123. Let b = 3529 - s. What is b rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15144, 15161, 15178, 15195, 15212?\nAnswer: 15229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5 + 4 - 3 + 2 + 0 + (-3 + 6 - 1)*(4 + 1 - 3) + 0 + 3 - 4 + 4 - 5 + 0 + 2 + 0 + 0 - 4 + 1 + 1)*(2*j - 2*j - j) + 1 - 1 - 2*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-11)\/308*7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 276*u + 1932. Let x be j(-7). Let r = -0.5 - 0.5. What is the closest to r in x, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 10. Let f be c(-3). Suppose 3*n = 5*p - 5, -3*n + n = -f*p + 4. Suppose -5*i + n*i = -2*m - 390, 5*m + 156 = 2*i. List the prime factors of i.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434683057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/(-100) + ((-72)\/(-15))\/2. Suppose 2*s + 0*l - l + 12 = 0, l + 16 = -5*s. Sort 4, s, o in decreasing order.\nAnswer: 4, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9788.433 grams?\nAnswer: 9.788433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.294728 months in centuries?\nAnswer: 0.00107894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c - 2. Let u be m(-7). Let b be (-2)\/(4\/u) + -3. Solve 0*j - 3*x + 15 = -2*j, b = -5*j - x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.61 + 103.39. Let i = z + -107.000000135. Round i to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 182 = -2*k - 5*h, k - 57 = -2*h. Suppose -k + 269 = 3*c. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1) + -4 + (-39 - 12). Let f be (-9)\/d*(4 - 2)\/(-2). Which is the second smallest value? (a) 2 (b) 0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8714860 and 616?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 4:57 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 15. Let g = -15 - -39. Suppose -k*w = -3*w - g. What is the remainder when w is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59643*x + 60724*x - 22581 = 7687 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5522913.\nAnswer: 3, 11, 55787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-9)\/(-15)) - 1. Let i = 5 - g. What is the least common multiple of 10 and 9 - (1 + (-3 - i))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-360)\/(-5760))\/((-1)\/56)*(24\/315)\/(-8).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4063720?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -13023322021?\nAnswer: -13023322013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -37238, -3, -5, -131 in increasing order.\nAnswer: -37238, -131, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3136 and 100.\nAnswer: 78400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(432)*-1) + sqrt(228)\/(3*sqrt(48)\/sqrt(4)).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**5\/6 + 391*k**4\/6 + 265*k**3\/2 - 1173*k**2\/2 - 1179*k = 0.\nAnswer: -3, -2, 0, 3, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2\/5, -4, -80, 4 in increasing order.\nAnswer: -80, -8, -4, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11 - (5 + 45441\/(-2839)). What is the smallest value in s, -3, 0.2, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3\/7*r**2 - 771\/7 + 774\/7*r = 0.\nAnswer: 1, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 809\/672 + -69\/32. Let m = h + 22\/21. Which is the biggest value? (a) 2 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17895.\nAnswer: 3, 5, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52262 is divided by 17327?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.48 + 5.48. Let z be (-1)\/((-3)\/6 + -3). Put z, -3\/7, p in decreasing order.\nAnswer: p, z, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -311100245 + -23?\nAnswer: -311100312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, 0, 2, -5, 4 in ascending order.\nAnswer: -5, 0, 2, 4, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 91 + 113. Let u = o - 51. Suppose 5*b - u = 44. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 54. What is t(-17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.708 - 1.208. Let i = 109\/70 - 2\/35. Which is the fourth biggest value? (a) -4 (b) -0.05 (c) f (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 922825764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 + 64*x + 18. Determine w(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4513\/17 less than -266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 4:58 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 1. Let c(u) = -4*u**2 - 3*u - 3. Let s(r) = c(r) + 6*q(r). Let b(t) be the first derivative of s(t). Does 13 divide b(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**5\/9 + 2*u**4 - 4*u**3 - 584*u**2\/9 - 496*u\/3 - 128 = 0?\nAnswer: -8, -3, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2375.827 to the nearest integer.\nAnswer: -2376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1664*r + 441*r + 3187*r.\nAnswer: 5292*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -134*b**3 + 523*b**2 - 26*b + 174. Calculate g(4).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/(-560)*4)\/((-9)\/7))\/1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = -15*b + 14*b + j, b - 4*j = 496. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11*b**3 + 10*b + 5. Let j(v) = 10*v**3 - 9*v - 4. Let s be (-3 - -6)*4\/3. Let u(w) = s*n(w) + 5*j(w). What is the second derivative of u(t) wrt t?\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 146*q - 6*q**3 + 191*q + 9*q**3 + 6*q**2.\nAnswer: 3*q**3 + 6*q**2 + 45*q + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94.935 - 94. Let o = 1.651 - 1.696. Let y = j + o. What is y rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5586 is divided by 329.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*h - x - 0*x, x + 8 = -h. Let i = -74.81 - -78.81. Which is the closest to -0.2? (a) i (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 892237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 - 49 = 3*i. Calculate the remainder when 113 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 15) in base 8?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100679 and 30325?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (1 + 0)*-1. Let i(g) = 2*g + 5. Let p = -155 + 159. Let v(a) = -a - 4. Calculate k*i(c) + p*v(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (-18 - -6) + 30 - -16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100441*g**2 + 19917 + 0*g - 100444*g**2 - 19917 + 0*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 2\/15, 1, 4\/7 in increasing order.\nAnswer: 2\/19, 2\/15, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 767 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 0.005, -6, -3, -0.3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 0, 20837, 4, -4, -1 in decreasing order.\nAnswer: 20837, 23, 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 493*k - 8902. Determine r(19).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cc0a (base 14) in base 11?\nAnswer: -50416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1645 in 4, 3\/7, -0.2, 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1 - 4*j + 0*j + 2*j + j**2. Let x = 5467 + -5463. Calculate g(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3\/7, -44, 1\/6.\nAnswer: -44, -0.2, 1\/6, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 574, 549, 534, 535, 558, 609?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*h + 49*h - 2108 + 2108 - 2*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -11, 831, -3 in ascending order.\nAnswer: -11, -3, 1, 2, 831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20213 + -4451?\nAnswer: -25104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 29*o**2 - 3 - 45*o**2 + 3 - 5. What is g(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 - 2*v**4 - 9 + 24 - 14 to x*v**4 + p*v**3 + m*v + b + z*v**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x - 2*x)*(-2*x - x - 3*x) + (x - x - x)*(-2 + 2 - x).\nAnswer: 19*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073573912?\nAnswer: 2, 59, 2274521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.41*-26\nAnswer: 10.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3092.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3363, 3063, 2561, 1863, 975, -97?\nAnswer: -1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 + -3. Let r = y + -0.199965. Round r to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-6 - -3)*2. Suppose 1182 = -2*q + 2*w, 445 = -q + b*w - 147. What is q rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 95.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 2*t**2 - 33*t - 365. Give l(0).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 - 156. What is the hundreds digit of i\/12 + (-11900)\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 8. Suppose -i = t*i. Let z(s) be the second derivative of s**3\/6 - 3*s**2\/2 - 21*s. Give z(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 516, -1, 62 in increasing order.\nAnswer: -8, -1, 62, 516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f - 2*f)*(-f**2 + 0*f**2 - f**2) + 13*f**3 - 58*f**3 + 23*f**3.\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*w + 558 = 3*x, 2*w = -5*x + 909. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 13 + 7. Let t be g\/7 - (54\/(-7) + 6). Factor 843 - r**t - 3*r - 843.\nAnswer: -r*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 813021 + 462398\nAnswer: 1275419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-45)\/54 - (-4 + 2 + 5\/3). Which is the third smallest value? (a) -2\/19 (b) -0.1 (c) -2 (d) 0.6 (e) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8481991367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13e4 (base 15) to base 5.\nAnswer: -114024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.2 - 0.08.\nAnswer: -3.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1550182021?\nAnswer: 15149, 102329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6946 is divided by 267.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 383.48 take away -623476?\nAnswer: 623859.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2913 is divided by 145.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498818041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -2\/5, -0.2, -0.3, -2 in descending order.\nAnswer: 2\/19, -0.2, -0.3, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000846 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from bobboooboobo.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 2*w - w + (0 - w + 0)*(0 - 4 + 2) + 2*w + 1 - 1 + 174*w + 1019*w + 345*w to r + q*w and give q.\nAnswer: 1541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 6*i - 4*i + (-5 + 5 + 3)*(i - 2*i - i) + 0*i + 0*i + i - 10*i + 7*i - 22*i.\nAnswer: -29*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 13*w + 3. Determine h(6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4)\/((-2)\/(-4)). Let r be (-3 + h)\/((-8)\/(-1538)). Let i = 357 + r. Find the common denominator of -16\/9 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1237\/13 + -95. What is the fourth smallest value in -9, z, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361 = -2*d - d - 4*b, 0 = -2*b + 8. Let o = 297 - d. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92905387.\nAnswer: 109, 677, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.33 - 17. Let v = s + 0.17. Which is the closest to 5? (a) 1\/7 (b) v (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -1\/5*q**6 - 5\/2*q**3 - 7*q + 0*q**2 + 0*q**4 + 0*q**5 + 0. Find the second derivative of l(y) wrt y.\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19506294.\nAnswer: 2, 3, 233, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 9:39 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 9*v**2 + 2*v - 9. Determine z(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1914*a + 81402.\nAnswer: -1914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331)*-2 - sqrt(1331))*4)**2 + 3 + (-4*(sqrt(1331) + (sqrt(1331) + sqrt(1331) + 1 + sqrt(1331) - sqrt(1331)))*5)**2 + -1.\nAnswer: 26400*sqrt(11) + 4983666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15*(-50)\/15 + -2. Let g = d + 325. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265539?\nAnswer: 3, 88513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 4:35 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -129*w**3 + 24*w**2 + 108*w - 24. Let g(z) = 18*z**3 + 21*z**3 - 27*z - 7*z**3 + 6 - 6*z**2. Let c(f) = -21*g(f) - 5*x(f). Solve c(a) = 0 for a.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(2\/5) - (-9)\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v - 81. Let s be c(7). Suppose 2*r - 2 = -0. Suppose j = -0*j + r. Put j, s, 4 in ascending order.\nAnswer: s, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 12 + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*i - 106, i = 5*l - 2*l - 86. Suppose 612*c - 636*c = -1008. What is the greatest common factor of l and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 25, q + 21 = -3*i + 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(324\/1428) + (-71)\/(-213)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -70, -70, -68, -64, -58, -50, -40?\n\"Answer: a**2 - 3*a - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148 and 259.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.11?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-294)\/315)\/(-14)*(-190)\/(-18)*3\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 59898, 119780, 179662, 239544?\n\"Answer: 59882*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 20, 7 = v + 3*d - d. Let l be v\/5 - (-2 + 1). Suppose -l*s + 632 = -1908. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14633 is divided by 732.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13028 - 13032. What is the nearest to 5 in 1\/3, -13\/3, -2\/13, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 195239072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllqllllllll. Give prob of picking 3 l and 1 q.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374726643?\nAnswer: 29, 47404367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4117342 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4432 + 14554. List the prime factors of w.\nAnswer: 2, 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - -55.0000076. What is a rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 7\/2 (b) -1\/5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2011382 divided by -70.\nAnswer: 1005691\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 48*s**2 - 56*s + 367. Let o be l(49). What is the greatest common factor of 3312 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 228 - 127. Suppose -77 = -m + 3*q, 0 = -2*q + 979 - 963. Is m at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 - 20 - 45) + 17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 70*h**2 - 217*h + 530. Let s be v(-90). Round s to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*c + 399*c - 13 = g, -4*g = -2*c - 18 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.17 + -0.1699986. Round b to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d + 122. Let f be x(30). What is the third derivative of 6*g**2 - 9*g**f - 13*g**3 + 80*g**6 + 3 + 13*g**3 wrt g?\nAnswer: 9600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*h + 25 = 370*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2 - 926616*g - 107327151432 = 0.\nAnswer: -231654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (355\/10)\/(1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r - 1 + 49 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179\/8 + 1279\/56. Calculate the common denominator of 49\/8 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111555*p**3*t**3 + 2*p**3*t - 48*p**3 + 2*t**3 + 33*t**2 + 28382*t - 2 wrt t.\nAnswer: -669330*p**3*t + 12*t + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85\/2 or -3\/151?\nAnswer: -3\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3)\/((b*b**(2\/17))\/b))\/((b*b**(1\/3)*b*b)\/b)**(-11\/4) assuming b is positive.\nAnswer: b**(451\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmm when three letters picked without replacement from mylmyzyzy?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37562838 to the nearest integer?\nAnswer: 6129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497*x - 1410*x - 852*x.\nAnswer: -1765*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l + 646 = -2*t, -t = 4*l - 865. Let q = l + -147. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 63598, 125588, 187588, 249604, 311642?\n\"Answer: v**3 - v**2 + 61986*v + 1612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 0 + sqrt(180))*2 + 2 + sqrt(180) + sqrt(180)*2 + -5)**2.\nAnswer: -300*sqrt(5) + 4525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (12\/(-1148))\/(-8 - 1182\/(-150)) and 7\/410?\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1610 and 2898.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/5941 and 33\/7312.\nAnswer: 95056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3030342 divided by -147.\nAnswer: 144302\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4465179.\nAnswer: 3, 59, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 702, 706, 724, 756?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -5*h - 5*c, -3*h = 4*c + 21 - 129. What is the units digit of ((-9)\/6)\/((-6)\/h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/805 and 51\/640?\nAnswer: 103040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -167600 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 141 = -r, 5*o + 110 = -2*r + 394. Let s = r + -59. Calculate the greatest common factor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 a when three letters picked without replacement from {a: 2, x: 1, n: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110101000001001100001 - -1100010?\nAnswer: 100110101000001011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5820 and 679.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 4*o + 5*o + 15, 3*o + 1 = 4*s. Which is the third biggest value? (a) s (b) -3 (c) 5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x**3 + 2*x**2 - 1. Let s be o(1). Let f(k) = k**2 + 5*k - 11. What is the units digit of f(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 164*i**2 - 4785*i**4 - 604*i**4 - 164*i**2 + 5207 wrt i?\nAnswer: -21556*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-554)\/831)\/(8\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 1\/3, 1261, -1, -9\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 147*k**2 + 22601*k - 28520. What is d(-155)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n + 8. Suppose 0 = -33*v + 51 + 81. Let p(h) = -3 + 465*h - v - 472*h. Give -6*a(g) - 7*p(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/21 - 270\/1680. Put -5, 1, l, 3, -2 in decreasing order.\nAnswer: 3, 1, l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/2344)\/(1351\/(-4095) - (-30)\/100) and 46\/9?\nAnswer: 73836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*p - 0*p. Let t(n) = -5*n + 3. Let m(z) = -z - 1. Let l(k) = -2*m(k) - t(k). What is l(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1775715.809927 - 1775585.81. Let h = -24.9 - 105.1. Let u = z + h. Round u to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*j + 181*j - 29815 = -23*j - 72*j for j.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.62, 487, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*18\/720)\/(2\/(-4)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2093428 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3*g - g - 4 = 0, 0 = -5*g + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7558.2 + -91891.0477?\nAnswer: -99449.2477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -46d?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**6\/60 - f**5\/15 + f**4\/12 + f**2. Let c be z(2). Sort c, 8, 5 in increasing order.\nAnswer: c, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o**3 - 1)*(0*o + 2*o - o) - 2558*o**4 - 623328*o + 623328*o.\nAnswer: -2556*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 125 - 76. Calculate the remainder when 57*(-6 - 207\/(-27)) is divided by v.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4820? (a) -5 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1434 - -1629. Let m be (-7)\/(-3)*-1*-3. Suppose -y = -m*s + 274. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*3*5)\/(sqrt(4) + 2*sqrt(20)\/sqrt(5)) + 3 + -3*((sqrt(153) + -1 + sqrt(153))**2 + 2 + sqrt(153)).\nAnswer: -1842 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26811903 take away -184194.6?\nAnswer: 26996097.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*h + 157 = 0, -5*t = 3*h - 170 + 16. What is the remainder when 104 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1968*c**2 - 656*c**2 + 211267*c - 211267*c to b + r*c**2 + n*c and give r.\nAnswer: 1312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*r**3 - 10*r**3 - 7*r**3)*(-4*r - 4*r + 6*r)*(-3 + 7 - 1).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 12. Suppose x*w + 4*y = 344, -w - w + 4*y = -320. Suppose 0*j = -3*j - 6, j + w = 4*k. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -4\/3 (c) 2\/21 (d) 328\/3 (e) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3 + 116*j + 1 - 121*j - 23. Let g = -287 - -272. Is 50 a factor of b(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 594?\nAnswer: -593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8373 or 8.12?\nAnswer: 8.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d. Let b(w) = 9*w**3 - 2*w. What is -2*b(k) + 4*v(k)?\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 57, 94, 191, 378, 685, 1142, 1779, 2626?\n\"Answer: 5*j**3 + 2*j + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2 - 878*t\/21 + 4 = 0. What is t?\nAnswer: -21, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 32 = -5*a, 3*a + 3*x = 9 - 12. What is the third smallest value in -7, a, 0.5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 5. Let l be 0\/v*(3 + -2 - 2). Solve 3*k = 3*w + 7 + 5, 3*k + w + 8 = l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5348456*g - 5348453. Determine m(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**2 - 23*i - 4. Let f(l) = l - 1. Let u be f(7). Let a be y(u). What is the third derivative of s**2 - s**2 - 11*s**a - 20*s**5 - 4*s**2 wrt s?\nAnswer: -1200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -350*v + 2447. Give p(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**21\/(x\/((x\/(x\/x**(-45)))\/x))*x**(3\/17)\/(x\/(x**(8\/5)*x*x*x)) assuming x is positive.\nAnswer: x**(-1889\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117051401\/23860 - -4227\/5965. Let k = j + 4899. Calculate the common denominator of 4\/8*(-86 + 1) and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/5161 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5 + 1668*f**4 - 687054*f**3 - 7185340*f**2 + 61482759*f - 101364624 = 0. What is f?\nAnswer: -16, 3, 839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2. Let g(w) = 186*w. Determine g(b(j)).\nAnswer: 558*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2556 + -2413. Calculate the highest common divisor of b and 8580.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 64579134?\nAnswer: 452053938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2) + 5\/(-15 - -10)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/70*10\/(-45)*6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.5 (c) -4 (d) 0.08 (e) -135.6 (f) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.2, -902?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45.7 + -41. Let p = -0.7 + y. What is the nearest to -1 in p, -2\/11, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.299 (c) 0.091\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5040) + sqrt(210)\/(sqrt(96) + sqrt(6)))\/((sqrt(5000) + 2*sqrt(5000))\/sqrt(10)).\nAnswer: -119*sqrt(7)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3739.\nAnswer: 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 45866 (base 11) to base 7\nAnswer: 364114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 170*o**2 - o + 7. Let l be r(2). Suppose -12*q + 1451 = -l. What is the remainder when q is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*k + 42*k - 18*k + (-4 + 2 + 0)*(3 - 3 - 1)*(-3*k + 3*k + k).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/275)\/(2\/(-22)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3655, -3615, -3575, -3535, -3495?\n\"Answer: 40*o - 3695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 630 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 0, -i = a + 2*i. Let g = 31 - a. What is the remainder when g is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (105\/(-72))\/(63\/(-84)) and 63\/34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12006810?\nAnswer: 2, 3, 5, 71, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-29)\/b**(2\/5) assuming b is positive.\nAnswer: b**(-147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.89 + 0.11. Let d = 92.2 + -90. Let z = 2.2 - d. Which is the third biggest value? (a) -2\/5 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1573 - 21380?\nAnswer: -1ba09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**6\/24 - b**5\/6 + 15*b**4\/8 + 15*b**3 + b**2\/2 + 8*b - 204. Let x(r) be the second derivative of g(r). Solve x(u) = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r*(r*r*r**(-7\/5)*r)\/r*r)\/r)\/r)**(-27) assuming r is positive.\nAnswer: r**(-351\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*g**2 + 40*g**2 - 22*g**2 to the form o*g**2 + x*g + j and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2575, 5174, 7779, 10390?\n\"Answer: 3*y**2 + 2590*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.44 + 31.44. Let d = 101450.9991 + -101471. Let b = p + d. What is b rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92696 = -5*s + 4*b, -2*s + 9*b = -4*s + 37036. Does 28 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 368 divide 248951632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10841 - -15265. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(-2 - 4 + 7 + 0 + 0 + 1 - 3 + 7 - 2 + 1 - 1 - 1 + (-1 - 2 + 2)*(0 + 0 + 2) - 2 + 0 + 4 - 1 + 1 - 1)*(30*d + 31*d - 27*d).\nAnswer: 68*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5277 + -1538. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -292 divided by 62\nAnswer: -146\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9916 - -9916. Which is the closest to 1? (a) v (b) -16\/7 (c) 1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -78\/43?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4658?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 2 - 2 - 7*b - b + b - 1 + 2*b + 1 + 2*b + 2*b - 2*b + (-2*b + b - b)*(-1 + 0 + 2) + b + 2*b - 2*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 2818650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5bc (base 13) to base 4\nAnswer: -33220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -274905, -5, 3, -2\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - u + 107 - 113 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 998.5847 nanometers?\nAnswer: 0.0000009985847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/4 + ((-357)\/(-28))\/3. Sort 5, 9, -4, u in decreasing order.\nAnswer: 9, 5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002018287 to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from {w: 1, h: 1, z: 1, e: 1, n: 2, r: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v**3 - 2*v**2 - 24*v - 2. Let a be l(-13). Suppose 9*w - a = -12*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 i when three letters picked without replacement from eeeeeieeinieeeee?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 2*m - 1. Let g be k(-1). Suppose g = -p - i + 124, -4*p + 4*i = 5*i - 511. Is 19 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 259\/4? (a) 8 (b) -9 (c) 1\/6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -1)**2*1.\nAnswer: -12*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -1. Let g be ((-66)\/(-37))\/(0 + -4). Let t = 2\/37 - g. Which is the closest to -2? (a) t (b) r (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 6*j. Let a be 2\/4 - 35\/(-14). Suppose -a*m - 4*t = 9, 4*m + 2*t + 2 = -j*t. Calculate the smallest common multiple of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31278 and 35880.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.11, 3\/28, -5, 0.1, -2.1, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 0, 5, 7317 in decreasing order.\nAnswer: 7317, 5, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 - 12*i - 4*i**2 + 9*i + 5*i**3 + 0*i**3 + 5*i**3 in the form a*i**2 + f*i + n*i**3 + r and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - ((-14 - -27) + -25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 1. Let z be o(-2). Let i be 320\/(-192)*(1 + 8\/(-88) + (-348)\/165). Determine p, given that -4\/5*p**z - 6\/5*p**i + 0*p + 0 + 2\/5*p**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 2*w**7\/105 - 103*w**6\/15 + 3536*w**5\/5 + 103*w**4\/3 - 21218*w**3\/3 + 1089*w**2 - 3. Factor x(f).\nAnswer: 4*(f - 103)**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 5 - ((-13 - 11) + 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002778739 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000830607 to 7 decimal places.\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15260 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*z - 20 - 14, z - 1 = 0. Suppose -55*l + 8*l = 2350. Is 4 a factor of g\/l + 604\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20141 or -20096?\nAnswer: -20141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 365526 + -44?\nAnswer: 365452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38, 138, 312, 566, 906?\n\"Answer: a**3 + 31*a**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/3*(-21)\/2. Let p be w\/(-6) - 8\/12. Solve b - 2 = 3*r, p*r + 0 = 5*b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-465)\/30 + 15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4288.6817654 - -1.1\nAnswer: 4289.7817654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 40. Solve 0 = -a - 1 - i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11 and 13342.\nAnswer: 13353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 13*r**2 + 0*r**2 + 10*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1625\/(-39))\/((-6)\/(1340925 - -3)). What is x rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-2)\/(-6)) + -18. Let v be 22\/10 + 3\/f. Solve -v*g + 5*g - 6 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 107500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a factor of 307823833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 165*g - 161*g + 0 + 7 as s*g + p and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27418 + -27409. Let d(a) = a**2 + 2*a - 4. Let l be d(-4). Put 0, v, l in decreasing order.\nAnswer: v, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12949 and 483.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (1 - 2 - -3) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7364)\/(-8416))\/((-21)\/(-6)). Factor -529\/4 - m*p**2 - 23\/2*p.\nAnswer: -(p + 23)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -375*w - 20. Let q be 70\/(-12) + 3\/(-18). Let u be x(q). Is 2\/6 - u\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2, 5*c - 2*h = -h - 1. Suppose 34 = -c*b - 3*b - 2*v, 0 = b - 4*v + 16. Let d = b + 30. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -3*u - 10, -u = 42*x - 46*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -323, -19, -2, 3, 0 in increasing order.\nAnswer: -323, -19, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3 - 3504*h**2 - h + 3504 = 0 for h.\nAnswer: -1, 1, 3504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -12*p**2. Let d(f) = 2*f. Let s(l) be the first derivative of -7*l**2\/2 - 66. Let n(u) = -4*d(u) - s(u). What is c(n(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a millennium?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/15 + 33\/(-215). Let f be 6\/(-1) - ((-444)\/(-370))\/(2\/(-5)). What is the second biggest value in f, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000117 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3745301 to the nearest integer?\nAnswer: 1935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119452376*o**3*u**3 - 2*o**3*u**2 - o**2*u**2 + 45*o**2*u - 9*o*u**2 - 353*o*u wrt u.\nAnswer: 716714256*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/8)\/(621\/72 + -6). Which is the smallest value? (a) -4 (b) -2\/15 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + c - 218 = -4*c, 0 = 5*f - 4*c - 611. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*g**2 - 3*g + 82*g**2 - 12*g**5 wrt g?\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*((f**(-21)\/f)\/f)\/f)\/(f\/(f*f**(-10)*f))*f\/(f\/f**(-15))*((f\/f**(3\/22))\/f*f)\/f assuming f is positive.\nAnswer: f**(-1015\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 3129 - 10812 = -189*r for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*w = 44, w + 106 = 4*x - 4*w. What is the remainder when 2199\/51 - 2\/17 is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*v + v**2 + 53*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - o + 113. Suppose 0 = -3*c + 15, 2*j + 3*j = 5*c - 25. Let v be q(j). Let i = 179 - v. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*g**3*v**2 - 1705*g**3*v + 252*g**3 + 47560*g**2 - 552*v**2 + 3*v wrt g.\nAnswer: -114*v**2 - 10230*v + 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/82 and 47\/26.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5703 + 81*i + 5703)*(-6*i + 6*i - 3*i**3)*(-2 + 2 - 1) to w*i**2 + p + q*i**3 + j*i**4 + z*i and give j.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 5, l: 14}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10080 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10496 - b3?\nAnswer: 103c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (337\/(-3) - (-46)\/(-69))*-541?\nAnswer: 113, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -1825, -2\/9, 0.1, -5, 3\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -144 - -13. Let c = 131 + d. What is the fourth smallest value in -0.5, 4, c, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 11*k**2 + 4*k**2 + 9*k**2.\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z + 2. Let d(r) = -32*r**2 - 8*r - 7. Let b(k) = -d(k) - 2*g(k). Let w(a) = -24*a. What is w(b(h))?\nAnswer: -768*h**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 1, q: 1, i: 1, z: 1, h: 2}. Give prob of sequence hip.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 389 - 385. What is the second derivative of 28*i - 129*i**4 + 8*i**y + 75*i + 81*i - 67*i wrt i?\nAnswer: -1452*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -15 - (1 + 0) - -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (396\/297*(-12)\/32)\/((-1)\/(-50))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3119 and -0.1?\nAnswer: -311.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2 - 500*t**3 + 453*t**3 in the form y + g*t**3 + l*t + i*t**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 156419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 232*b - 15*b - 1513*b + 1.\nAnswer: -1760*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 1 + -3210 + 3238\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3102130010 (base 4) in base 14?\nAnswer: 1861a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34634925833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (48\/(-14))\/(1188\/(-231) + (-5)\/(-1)). Suppose 58 = 3*r - 38. Calculate the greatest common divisor of r and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*i*m**2 + 3*b*i*m*z**2 - b*i*m*z - 5*b*m**2*z**2 - 7*b*m**2*z - 2*m**2*z**2 + m**2 with respect to i.\nAnswer: 2*b*m**2 + 3*b*m*z**2 - b*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1.8. Let h = 0 + q. Let a be 1*3\/(-108) - 3\/(-12). Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1211122300 (base 4) to base 14\nAnswer: -ab560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -730, -1465, -2200, -2935?\nAnswer: -3670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*i - 23 = -i, -d - 22 = 4*i. Let r = 7 + d. What is p in 1 - r + 2 - 2*p**2 + 11*p - 7*p = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -609.\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7631 by 1.\nAnswer: -7631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (0 - 0) + -1. Let c = -4 + 9. Suppose c = w - v. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 107613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 420 + -224. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -87*b**2. Let o(c) = -17*c**2 + 9*c - 18. Let l(h) = 4*h**2 - 2*h + 4. Let j be (13\/(-39))\/(1\/(-6)) - 4. Let p(a) = j*o(a) - 9*l(a). What is u(p(g))?\nAnswer: -348*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -24875\nAnswer: 3\/4975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*l + q, -3*l + 2*q + 25 + 3 = 0. Factor -l*p**2 + 7 - 11 - 2 + 15*p + 3*p**3.\nAnswer: 3*(p - 2)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 8. Let n(h) = h - 7. Let c be n(11). Suppose d - 19 = -c*o. Sort o, -1, 0.\nAnswer: -1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 1268?\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-1)*a)\/a)**(-6)\/((a\/a**(-2\/11))\/(a\/((a\/(a*a**(5\/4)*a*a*a))\/a*a))))**(-1\/46))**(16\/3) assuming a is positive.\nAnswer: a**(-886\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -615555 and 14228.\nAnswer: -601327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315, -605, -1347, -2751, -5027, -8385, -13035?\nAnswer: -19187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -585 divided by 117.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 6*f - 162. Let b = -147 - -92. Let p = f - b. Which is smaller: p or 20\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 0.3, -0.4, -775, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 636 - 633. Let b(l) be the first derivative of 0*l**5 - 5\/2*l**6 + 0*l**f + 0*l**4 + 5*l**2 + 0*l + 21. What is the second derivative of b(i) wrt i?\nAnswer: -300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-21)*(-3)\/(-4)*112\/(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-6)*40\/75?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 31 = 5*m - 47 - 63, 3*m + 5*d = 361 - 110 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000087595 to six decimal places.\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6984900 divided by 21492\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 5*c - 15. What is the lowest common multiple of 1*c*(-5 - 8\/(-2)) and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2 + 14*u - 5. Is n(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9e9 (base 16) to base 7\nAnswer: -10253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.06 (b) 8\/547 (c) 12 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + 1.96. Let v = -224.56 - 7.94. Let h = v + 233. Sort h, s, -0.4 in descending order.\nAnswer: s, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210872551.\nAnswer: 1321, 159631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iujiqwi. What is prob of picking 1 q and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(72)*-5)\/sqrt(2))\/(sqrt(108) + 4*(sqrt(108) - (3*sqrt(108) + sqrt(108)))).\nAnswer: 10*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16680 and 11400?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-42)\/(-15))\/(2\/10). Let m(o) = o**2 - 14*o + 5. Let g be m(i). Suppose -g*x = -x - 12. Solve -l + 2*c - 5 = -6*l, -2*l - c = -x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 494 - 313 = 3*b, -2*b + 3*m - 537 = 0. Let d = -143 - b. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(65)*2 + (sqrt(65) - (1*2*sqrt(65) + sqrt(65))))\/((sqrt(140)*6)\/sqrt(7)).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2. Let p be 3\/(-1)*(2 - m). Let v = p + 7. What is the remainder when 14 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 497.1 and 3870?\nAnswer: 1923777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 173*o. Let i(g) = 13*g**2 + 4*g - 4. Let z(s) = 16*s**2 + 5*s - 5. Let p(r) = -5*i(r) + 4*z(r). Determine p(d(k)).\nAnswer: -29929*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 9*i**2 - 7*i + 6. Is w(-9) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g - 68 = -48*g. Solve 17*q - g = 19*q + 4*p, 4*q + 3*p + 3 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7472202 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0.4, -1\/2, 254, -1, -0.09?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, a: 2, v: 4}. Give prob of picking 3 v and 1 a.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42738*g*j**4 - g*j**2 + g*j + 3370*g + 2*j**6 - j**2 + 6*j wrt j.\nAnswer: 1025712*g*j + 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of ((-1 - 0) + -143)*441\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 5. Let t be r(-4). Is -3 + (57\/1 - t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 275\/(-150) - (0 + 6\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4945, 21305, 49095, 88327, 139013?\n\"Answer: 2*t**3 + 5703*t**2 - 763*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -249, -371?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2407 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3327255088 to the nearest integer?\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i**3*m*p**3 - 2*i**3*p + i**2*m*p**2 + i**2*p**2 - i*m*p**3 - i*m*p**2 - 2*i*p**3 wrt p.\nAnswer: -24*i**3*m - 6*i*m - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a099 - a?\nAnswer: -1a0a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47862503?\nAnswer: 13, 3681731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2298*v**5 - 2*v**4 + 3*v**2 - 14548*v wrt v?\nAnswer: -45960*v**3 - 24*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g + 2. Let q(h) = -h**2 + h + 8. Suppose 0 = 2*o - 3*d + 2, 0*d = -o - 2*d - 1. Determine o*q(m) + 6*a(m).\nAnswer: m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -138*t - 597. Does 15 divide j(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((1*sqrt(30))\/sqrt(10)) + 4*sqrt(175)*-3.\nAnswer: -59*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b + 15. Put 5, b, -0.2 in decreasing order.\nAnswer: 5, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4064697 and -7?\nAnswer: 28452879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 7*c**2 + 2*c - 7. Let k be o(6). Let n(u) = 5*u**2 - u + 2. Let d be n(3). Let r = d + k. Calculate the remainder when 38 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/9 + 118*b**2\/9 + 40*b\/3.\nAnswer: -2*b*(b - 60)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**5\/24 - 2*k**3\/3 - 9*k**2\/2 + 15*k + 2. Let n(b) be the second derivative of z(b). Let w(o) = o. Determine n(w(g)).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37101 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 5. Let n be g(-1). Suppose -3*m = n*v - 3137, m - 975 = 3*v - 3331. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121*q + 129*q - 2*q**2 - 722*q**3 + q**2 - 248*q wrt q.\nAnswer: -4332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3*n**2 + 5*n**2 - 3*n**2 - 88 + 69 + 25*n**3 to the form w*n**3 + u + f*n + h*n**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2082253 (base 10) to base 5.\nAnswer: -1013113003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 2*y + 3. Let k(q) = -2*q**2 + 4*q - 7. Let t be 13\/(-3)*-3 - -1. Let h(v) = t*r(v) + 6*k(v). What is the second derivative of h(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 2\/3*g**3 - 2 + 0*g + 0*g**2. Let c(t) = 9*t**2. What is c(d(b))?\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, m: 2, b: 2, z: 2, f: 1, e: 3}. Give prob of sequence mz.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 3989692068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + d + 1. Let j(a) = -6*a**2 - 3*a - 3. Let u(s) = s + 1. Let z be u(-2). Let w be 31\/(-11) - ((-18)\/22 + 1). What is w*l(i) + z*j(i)?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 72.396.\nAnswer: 868.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.4 or 84?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42 + 909?\nAnswer: 8a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 243 = 265 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2572182 and 172017?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 22. Solve -12 = -6*c + m*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281 - 4*s**3 + 2*s**3 - 267 + 548.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.05603 or -907?\nAnswer: -0.05603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.350746334 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 168823627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 - -67. Let x(o) = -10*o + 4. Let v be x(n). Let f be ((-12)\/9)\/((-4)\/6). Put v, f, -1 in increasing order.\nAnswer: -1, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/970 and -51\/2425.\nAnswer: 4850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164493\/208 + -10319\/13. Suppose 0 = y + 2*y. What is the common denominator of 154\/(-8) + y + -2 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o - 40. Give c(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 138\/5*15\/3. What is the common denominator of -19\/20 and l\/(-96) - 15\/(-3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146673 (base 8) to base 5.\nAnswer: 3141132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 428 and 11342?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 11*i**3\/2 - 9*i. Let b(u) = 2*u. Determine b(s(f)).\nAnswer: 66*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*i - 70*i + 11*i)*(-i - i - i)*(0*i - i + 4*i) to b + u*i**3 + a*i**2 + c*i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 1\/1 - (-64)\/((-2368)\/(-1221)). Solve 7*f - u = 31 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/13 and 31\/14660191.\nAnswer: 14660191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312444133 (base 5) in base 8?\nAnswer: 14313376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19472 - -90460. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -3, 1, 3\/26, 2, -117 in decreasing order.\nAnswer: 2, 1, 3\/26, -3, -59, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 86 - 98 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 - 100\/(-30). Let v be (-1 - 8\/(-2))*6. Let o = 33\/2 - v. Which is the second biggest value? (a) o (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*h*r*z - 34*d**2*h + 5*d**2*r**2*z - d*r*z**2 - h*r**2 - h*r*z**2 - 5*r**2*z**2 wrt r.\nAnswer: 10*d**2*z - 2*h - 10*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {v: 12, a: 3, h: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -0.239272646.\nAnswer: 0.160727354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/685 and -33.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/29689149 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 222176\/33 - 6731. Calculate the common denominator of f and -16\/7.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6422*s**5*v + 7*s**3*v - 4537*s*v + v + 3 wrt s.\nAnswer: 128440*s**3*v + 42*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 12:08 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243976755?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587 (base 9) in base 4?\nAnswer: 102331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61\/6 - -10. Let u = -21 - -21. What is the nearest to 2\/3 in x, u, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53972025 to the power of 1\/3, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 56 = -8*q. Suppose 85*r = 88*r. Solve -5*z + 2*d + d + 5 = 0, -z - 2*d + q = r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 18552*j**2 + 41264520*j - 8233227200.\nAnswer: 2*(j - 184)*(j + 4730)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (833\/(-14))\/((((-1638)\/12)\/(-13))\/(-6))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 509869993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9 and 39643066195256?\nAnswer: 39643066195265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 5*j - 1 - 7*j - 12*j**3 to the form g + b*j + u*j**3 + m*j**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 885995 and 7602?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158553323?\nAnswer: 83, 257, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.665 to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j*j*j\/((j**(-2\/11)*j)\/j*j)*j)\/j*j))\/(j\/j**(-2\/9))*(j**(2\/7))**(-1\/28))**(-8\/13) assuming j is positive.\nAnswer: j**(93692\/63063)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * 57.66.\nAnswer: 5.1894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 27 = 4*h + l, -5*l + 13 = -3*h. Let d be (-1)\/5*(-4)\/h. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a milligram in nanograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60284849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 59*h**5\/4 + 103*h**4\/4 - 39*h + 2. What is the third derivative of z(w) wrt w?\nAnswer: 1770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/5)\/((-20)\/(-25)). What is the third smallest value in 5, -4, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 929575 - 929579.00043. Let s = 4 + m. Round s to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19 (b) 0.4 (c) -2 (d) 135238 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2746 divide 262117492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72\/5 - 96\/5*o**3 + 4\/5*o**4 - 226\/5*o + 244\/5*o**2 + 2\/5*o**5 = 0. Calculate o.\nAnswer: -9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9643, 19311, 28979, 38647, 48315, 57983?\nAnswer: 67651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {s: 4, n: 3, y: 4, d: 7}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 62\/18 + (-148)\/333. Factor 6*z + 6*z**q + 9*z**3 - 3*z - 18*z**3.\nAnswer: -3*z*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -111021*p**2 + 3*p + 1155772?\nAnswer: -222042*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*q + 246*q - 1191*q - 2131*q as v*q + m and give v.\nAnswer: -3156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 81509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 = -0. Let w be -2*(12\/(-66) + (-102)\/44). Is b less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7154207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 422, 656, 906, 1178, 1478, 1812, 2186?\nAnswer: 2606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (0 - 1) + (3\/3 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -10*p - 8. Let k be c(-1). Let d be k + (-2)\/(-5) + 38\/(-95). Solve 2*w = -d*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + 5 + -20 + 14 + 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 521241890 to the power of 1\/2, to the nearest integer?\nAnswer: 22831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -131 and 2.57?\nAnswer: 133.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.03906018.\nAnswer: 0.1953009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + 95. Let y(x) be the first derivative of -x**2 - 345. Give i(y(r)).\nAnswer: 12*r**2 + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 128406268 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4806*c + 69 = 2*h - 4807*c, 0 = 9*h - 5*c - 341 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 11*o**2 + o + 15. Let b be d(-11). Find the third derivative of -126*t**4 + 121*t**b - 2*t**2 + 3*t**2 wrt t.\nAnswer: -120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 7*g**2 + 2*g - 9. Let r be w(7). Suppose -5*a = j, 2*j = j. Solve 5*d + r = 5*h - a, 3 = 2*h - d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9 + 4 - 1 + 3 - 3*k. Let a be g(-4). What is the highest common divisor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y + 3*y)*(-2 - 3 + 4 + 1 + 0 - 3 + (2 - 4 + 3)*(-1 + 4 - 2)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38220 at least as big as 38219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 7*j**2 - 131*j + 13. Let r(d) = 2*d**2 + 44*d - 4. Give 2*l(s) + 7*r(s).\nAnswer: 2*s**3 + 46*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16167, -32355, -48557, -64779, -81027, -97307, -113625?\nAnswer: -129987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -j + 24, 3*j = -2*v + 4*v + 86. Calculate the highest common divisor of j and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 24. Suppose 11 = -4*a - k, -a - 5*k = -2*a - 8. Sort 6, s, a in ascending order.\nAnswer: a, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.045067 plus 0.03752?\nAnswer: 16.082587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 2\/((-30)\/(-13)). Let i be (-14)\/21*6\/4. Which is smaller: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Let x(r) = r + 1. Let g be x(4). Suppose 3*n - 10 - g = 0. Suppose 0 = -n*o + 4*o + 2800. What is o rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2845 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/18)\/((-4)\/18). Let l(h) = -4*h + 1. Suppose 0*a + 11 = -a - 2*k, -3*a = 3*k + 18. Let o be l(a). Sort -2, g, o in decreasing order.\nAnswer: o, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6081779 from 25.\nAnswer: 6081804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:51 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 4:24 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2. Let z(v) be the first derivative of -v**4\/4 + 4*v**3\/3 + v**2 - 6*v - 1. Let m be z(4). Let q(x) = 4*x + 0*x - m*x. Calculate u(q(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 - 11. Let f = 139 - 122. What is the remainder when i is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m - 27. Let a be z(6). Calculate the remainder when a\/(18\/(-4)) - -24 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1213 divide 101113254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 34 - 161 + 56 + 46 + 2*a.\nAnswer: 2*a + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 522*y**3 - 8*y**2 + 42*y - 9. Is d(3) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-8)\/(q**(-1\/2)\/q*q)*(q**(1\/2))**(-2\/35) assuming q is positive.\nAnswer: q**(-527\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 60404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97056522 - -0.7804.\nAnswer: -97056521.2196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-232)\/29*((-108)\/(-3))\/(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27256642 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4143, 4137, 4129, 4119, 4107, 4093?\n\"Answer: -u**2 - 3*u + 4147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -159\nAnswer: 6.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10834\/15 - 722. Let t = -2\/105 - n. Suppose 0 = -0*f - 5*f. Which is greater: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvvvvqvvvqvqqvv. What is prob of sequence qq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.271 + 0.271. Suppose 3*y - 5 = -d, 2*y + 4 = -2*d + 3*y. Which is bigger: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1236 and 102279?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 7\/2*r - 7\/2*r**3 - 1 + 5\/2*r**4 - 3\/2*r**2 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in 0.0663, 1, -6?\nAnswer: 0.0663","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 = -5*z. Let i be 3\/z*(-6)\/36. What is the nearest to i in -2\/7, 1, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1392, 364 in decreasing order.\nAnswer: 364, -14, -1392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-8 - -8 - 10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179281.\nAnswer: 179281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**3\/3 - 2. Let c = -5 + 7. Let t(v) = -3*v + 4*v**c + 6*v - 3*v. Give j(t(d)).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 75 = s + 138, 5*q - 2*s = 159. Let r(z) = 0 + 3*z + 0. Calculate the remainder when q is divided by r(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38990*l = -38998*l + 70848. Is 41 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from ffkikkikkkk.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/y)**(-11\/3)*(y**(-1\/2)*y)\/y**(-2\/9) assuming y is positive.\nAnswer: y**(79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22096 = -7*v - 6815. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41, -53, -39, 13, 115, 279, 517?\n\"Answer: 2*w**3 + w**2 - 29*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**2\/8 - 3021*l\/8 + 378 = 0?\nAnswer: -1008, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4080 divided by -6\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x + 5. Let v be i(6). Suppose 415 = -25*u + 30*u. Let y = u - v. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 94*x**2 + 137*x + 47. Let q be h(-5). Calculate the greatest common divisor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 4. Let l(w) = w**2 - 14*w + 10. Let s(v) = v**2 - 15*v + 9. Let j(o) = -3*l(o) + 2*s(o). Let f be j(10). Determine p(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -17. Let z(g) = g**3 - 9*g**2 - 11*g + 14. Let n be z(u). Suppose n*h - 389 = 431. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240327690 divided by -2\nAnswer: 120163845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 37*g + 68. Let o be n(2). Solve -3*i + 3*f = -15, -11*f = 5*i - 7*f + o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 7:10 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3 (c) 415\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 16, -1, 5 in decreasing order.\nAnswer: 16, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z - 108*z = 21*z + 1200 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7257 - 6?\nAnswer: -7261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23, -34, -45, -56, -67, -78?\n\"Answer: -11*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2947356 and -137271.\nAnswer: 2810085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 102, 511, 1242, 2313, 3742, 5547, 7746?\n\"Answer: 3*a**3 + 143*a**2 - 41*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20286457027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.85 - -0.65. Sort 5, z, -2, -1\/2 in decreasing order.\nAnswer: 5, z, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 - 5.05. What is the closest to -1 in -0.3, -3, a, 2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -647 - -797. Suppose 101*r + c = 106*r. What is the highest common factor of 70 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6072 (base 8) to base 4.\nAnswer: 300322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 + -101. Solve -3*w = -j + 6 - 2, 0 = 5*w + z*j + 30 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6515, 6493, 6471, 6449?\n\"Answer: -22*i + 6537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -602, -601, -600, -599, -598, -597?\n\"Answer: w - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 3623*r = -3621*r - 13, -h = -3*r + 14 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y + 2*j - 106, -6 = 2*j. Let o = 32\/105 - -814\/315. Find the common denominator of (489\/(-40) - 0)\/(252\/y) and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11088 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/12 + 19\/(-2). Let i be 8\/y - 5936\/(-70). Let s = 85 - i. Sort s, 3\/4, -1, 0.5.\nAnswer: -1, 0.5, 3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from {z: 4, t: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -41. Let w be 17634\/(-12)*184\/g + 3. Suppose -i = -3*x + x - 33798, 0 = 4*i - 3*x - w. What is i rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*1)\/(30\/8*(-4806)\/(-4005))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6077 + 60827\/10. Let j = 1\/538 - 7265\/1076. Find the common denominator of j and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10150 (base 7) to base 10.\nAnswer: -2485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -21*g - 20. Give p(1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 198 - 165. Suppose -41*v = -j*v - 16216. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-28)\/(-8))\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018399 rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49345, -2\/13, -1 in descending order.\nAnswer: 49345, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-1 - (4 - 0 - -14))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304 = -18*q + 165 - 539 - 78 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 185853 > 185858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 31647*w + 70560*w - 33811*w)*(2*w**3 - 6*w**3 + 2*w**3) to v + g*w**2 + j*w**3 + i*w**4 + y*w and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.95734 * 37.4.\nAnswer: -35.804516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1493 is divided by 495?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 13*g - 34. Give l(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.069879 + 0.3\nAnswer: 0.369879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244985 is divided by 238487.\nAnswer: 6498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -153 - -163. Suppose i*b - 12*b + 7648 = 5*a, 4*b - 16 = 0. List the prime factors of a.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**6\/120 - 7*u**5\/60 - u**4\/4 + 5*u**3\/6 + 7*u**2. Let h be z(-6). Let o(p) = 3*p - 5. List the prime factors of o(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/11674803 and 19\/3?\nAnswer: 11674803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 245*o**4 + 2310*o**3 + 4745*o**2 - 3300*o + 500 = 0. Calculate o.\nAnswer: -5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owowwwoonon. Give prob of picking 1 n and 3 o.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 9:35 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-220)\/(-24750))\/((-6)\/(-81)).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.099, -3\/2, -1\/9 in ascending order.\nAnswer: -3\/2, -1\/9, -0.099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8634*r - 303749 = -44729 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 838 - 266. What is the remainder when 128 is divided by b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/1080 + (-2)\/15)*84\/(-49)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 90 = 3*o. Let k = o - -48. What is the third smallest value in k, 2\/9, -3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**2 + 0*w**3 + 2*w - 8*w - 3*w**3 + w**3 + 6. Let i be s(2). What is the derivative of 7*k**4 + 6*k**4 + 44*k**i + 30 - 45*k**2 - 74 wrt k?\nAnswer: 52*k**3 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1363 + 36*h**3 - 9*h**2 + 1363.\nAnswer: 36*h**3 - 9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 4*y = -8, -8860 + 8864 = -a - 2*y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247253.\nAnswer: 97, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/486569069?\nAnswer: 2\/486569069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1544*b + 1588*b - 3095*b.\nAnswer: 37*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -11*c + 8. Suppose -11*w - c - 12 = 0. What is the tens digit of -12*17\/w + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 5, 20, -4 in descending order.\nAnswer: 20, 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -523468235.9800440829258 - 8005.4199553870742. Let x = 523476305.4 + w. Let s = x + -64. Round s to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 597656657*k**3 + 250522*k**2 + 10*k + 18 wrt k?\nAnswer: 3585939942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6241522 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -13. Suppose -2*l - l + r = 0. Suppose -l*k - k + 105 = 0. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.16011mg to tonnes.\nAnswer: 0.00000008216011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 10:53 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -16*g**7\/525 - 2*g**6\/15 + 31*g**5\/150 + 11*g**4\/30 + g**3\/5 - 5*g**2 - 12*g. Solve o(a) = 0.\nAnswer: -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 98821.43 nanometers?\nAnswer: 0.09882143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from odnode.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 7. Suppose -t*g + 14 = -16. Let m(d) = 2*d - 1. Is 11 a factor of m(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/15 - 364*o\/15 - 16562\/15 = 0. Calculate o.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 112?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -346 - -360. Suppose j*t = 3*t + 55. Let u = 79 - 54. Calculate the greatest common divisor of t and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g + 2. Let n be (8\/340)\/((-43)\/(-215)) + 348\/(-68). Give z(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxpppflplhlpx. Give prob of picking 1 h and 2 x.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = -2*v + 2*d + 77 - 130, -2*d = -4*v + 26 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 182 divided by -274\nAnswer: -91\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 256 = 56. Suppose 0 = i, -5*f + 4*i = -0*i - v. Solve 3*h = f*h + 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 17*t**2 + 14*t**2 - 1.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 328067 to the power of 1\/2, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**2 - 4*r**2 + r**2 + (-5*r + 2*r + r)*(2 - r - 2) + 4*r**2 + r**2 - 3*r**2 + 2*r**2 - 3*r**2 - r**2 - 3 - r**2 + 3 - 48 - 7*r**2 + 20 + 25.\nAnswer: -4*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 115 + 0*s - 4*s - s + 2*s.\nAnswer: -3*s**2 - 3*s - 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-367 - -476) + -6 + -9 + 14?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 646.\nAnswer: 6460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16710 and 1533978?\nAnswer: 7669890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - 1 + 1 + (o + 4*o - 3*o)*((-2 - 2 + 2)*(2 - 2 + 2*o) + 0*o + 2*o + 0*o + 4*o - 3*o - 3*o) as k*o + v*o**2 + t and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.43 and -7?\nAnswer: -3.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -576607 divided by 59\nAnswer: -9773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3781\/2 - 1844. What is the common denominator of 474\/20*(-1)\/(-3) and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/5*(-52 + 352)\/30. Solve -53 = 4*y + z - 46, 2*y = -4*z + i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 1 + 0*v + 1\/2*v**2. Let t(w) = -8*w**2 + 4*w. Let n(u) = 7*u**2 - 3*u. Let f(a) = 4*n(a) + 3*t(a). Give f(i(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6847 - 6845. Solve 6*p = 5*g + s*p - 45, 20 = g - 3*p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 101593, 404345, 908931, 1615351?\n\"Answer: 100917*l**2 + l + 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-46)\/(-10) - (-4)\/10. Let i(t) = 2*t**2 - 5*t**2 - b*t**2. Let d(a) be the first derivative of -a**2 + 1402. Determine i(d(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-108)*-6*(-27)\/(-72)*4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -u, 3*u - 6 + 1 = o. Let i(y) be the second derivative of y**3\/6 + 8*y**2 + 248*y. Give i(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 + -85. Suppose 0 = t*w - 19*w - 340. List the prime factors of w.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 6 - 7)*(-1 - 3 + 3)*(-2 + 6 - 1)*(4*v**2 - 2*v + 2*v) - 5*v + 3*v**2 + 5*v to x*v + g*v**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**8\/42 - 17*y**6\/30 - y**5\/6 + 59*y**3\/2 - 1789*y**2 + 2. What is the third derivative of o(t) wrt t?\nAnswer: 480*t**2 - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 3*a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -10. Let s be 6\/(-15) - n\/(-10). Suppose 26*p - 48 = 22*p. Solve -s*f + p = 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 8. Let s be p(2). Suppose 4*q = 4*f, 0 = 2*f - 22*q + 26*q + s. Put -0.4, f, 2.4, 1 in increasing order.\nAnswer: f, -0.4, 1, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 451 + 1?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 382 = -138. Suppose k*o - 960 = -80. Let n = 62 - -68. Calculate the remainder when n is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 53538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-306))\/(115\/((-345)\/2)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*m + 66, 0 = -m - 1 - 1. Suppose d = 3*f + 4*g + g, -4 = -4*g. Suppose -f*j + 36 = -0*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 - 35 = 8*m. Let j be ((51\/m)\/17)\/((-2)\/(-16)). Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7605\/210 + -57 - -21?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6*x = 590768, -3*m + x = -379618 - 63437. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -53815, -99245, -144675?\n\"Answer: -45430*k - 8385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 258 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 179*t**4 - 636*t**3 + 135*t**2 - 112210440.\nAnswer: 716*t**3 - 1908*t**2 + 270*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 61470458.\nAnswer: 553234122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = b + 2*l, 0 = 3*l + 6 - 18. Let v = b + -514\/7. Calculate the common denominator of -65\/4 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.975568855 to three decimal places.\nAnswer: -5.976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/23)\/p)\/p**(14\/9))**(-9\/2) assuming p is positive.\nAnswer: p**(547\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005688051154 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**4 - 7*y**3 + 0*y**2 + 2 + 3*y**3 + 2*y**2 + 3*y**3 in the form p + c*y**2 + q*y**4 + u*y + g*y**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4359259 + 0.\nAnswer: -4359259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 867 and 6647?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**4\/2 - 7*h**3 - 14*h**2. Calculate the remainder when 88 is divided by n(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -9. Suppose 0 = 6*a - l*a + 408. Suppose -2*y + a = -24. What is the greatest common factor of y and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, i: 4, m: 2, g: 3}. Give prob of sequence im.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*w**4 - 16 + 4*w**5 - 22 - 40*w**3 - 60*w - 27 - 112*w**2 + 65.\nAnswer: 4*w*(w - 3)*(w + 1)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Which is the nearest to -6? (a) -5 (b) 1\/5 (c) 10\/11 (d) 8 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-167883)\/642 + 263)*(0 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2855\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 40.658 and -0.01.\nAnswer: 40.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + -123155?\nAnswer: -123130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 16811*y**2 + 50597*y + 493. Calculate d(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 6*g - 500297. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b4a4 - -3?\nAnswer: 2b4a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*b + 5 - 5)*(1 + 2 - 4).\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n*z**6 + 82*n*z**3 + 7*n*z**2 - 2951*n*z + 10*z**4 wrt z?\nAnswer: -480*n*z**3 + 492*n + 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -44154*g - 264931. Calculate d(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 107, 120, 133?\n\"Answer: 13*m + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -46. Let o = -1.533 - -4.526. Let j = o + b. What is j rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2850127 is divided by 10439.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*d**3 - 6 + 13*d**3 + 30 - 11*d**2 - 12 to f*d**2 + q + z*d**3 + b*d and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + 42. Find the third derivative of 4569*w - 47*w**4 - 4569*w - a*w**2 wrt w.\nAnswer: -1128*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20251463 from 385862.\nAnswer: 20637325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 117110971 plus -0.5?\nAnswer: 117110970.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -280105*w - 560194. Calculate a(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1540 divided by 140\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 558428241 to the nearest integer?\nAnswer: 23631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 1:38 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (120\/(-55) - -2) + 189\/11 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*l - 16389 = 60*l. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 0, 12*r - 2*c - 156 = 8*r. Is 4 a factor of -4 + -6 + 12 + 2*r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.041 equal to -2\/67319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/11 - (-11)\/(-121)*-794. Which is greater: v or 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3497900 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195963, -783837, -1763623, -3135321?\nAnswer: -4898931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, -0.05, 0, 208.\nAnswer: -0.2, -0.05, 0, 2, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -15, -1.\nAnswer: -15, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111225 is divided by 678.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44.41 + 44.61. What is the closest to 1\/3 in -5, -2, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(108)*-1*-2*3 + -3 + 2))**2.\nAnswer: 1152*sqrt(3) + 62224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 u when three letters picked without replacement from gguggguuguggu.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -8*a**2 + a + 2. Calculate i(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.2 (c) 0.3 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112566 and 2821860.\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g - 2*g**2 + 1 + 2 - 3*g**2 - g**3. Let n = -339 - -350. Suppose -24 - 42 = n*k. What is s(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**4\/4 - w**3\/3 + w**2\/2 + 3*w + 5. Let j be t(0). Suppose j*d - 213 + 39 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.3709551 hours to weeks.\nAnswer: 0.0736366375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 974\nAnswer: -292.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1078*p**3 + 3*p**2 - 948?\nAnswer: -6468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*w - 478*w - 23 = 2*d, 536 = -88*w - 4*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.208 from 4403287.5.\nAnswer: 4403287.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + t + 17. Let f be m(0). Let k be ((-308)\/8)\/(-11)*(-40)\/(-35). Suppose 4*x + k = -0, 3*x = 2*j - f. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2168 is divided by 395?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 5*b - 191 + 151 = 0, 3*d - 5*b = -16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h + 4 = 0. What is the smallest common multiple of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*d + 0*d + d)*(2 - 2 + 1) + 6*d + 0 + 0)*(1 + 0 + 1)*(2 + 0 + 0).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 (base 16) in base 9?\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -120757046*q**3 - 27339189*q**2 wrt q.\nAnswer: -724542276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-48.969\nAnswer: -24.4845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7371 divided by 2?\nAnswer: 7371\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 814481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {g: 1, h: 3, c: 2, n: 3, s: 1, z: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16274 divided by 79.\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**3\/2 + 5*y. Let d(b) be the second derivative of b**3\/6 + 43*b. What is f(d(g))?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b + 2. Let h be s(0). Suppose -l = h*d, l + 5*d + 6 - 3 = 0. Let k be l\/7 - 159\/(-7). Calculate the greatest common factor of k and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -5. Find the second derivative of 2*o**2 - 7*o - 2*o**2 + o**4 - t*o**4 wrt o.\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10065 divided by -128.\nAnswer: -10065\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/10 - (-371746)\/(-180). Let p = -2066 - w. Calculate the common denominator of p and 103\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*q - 5*x = 320*q + 17, 4*x = x - 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/138 + 38\/69. Factor -m*t**2 + 1\/2*t**4 - 1\/2*t + 1\/2*t**3 + 0.\nAnswer: t*(t - 1)*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 960 and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -552, 4.\nAnswer: -552, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**5\/5 - 2*c**4\/3 - 2*c**3 + 4*c + 11. Determine s, given that g(s) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 76\/171217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z**4 - 4336*z**3 + 14068*z**2 - 2640*z = 0 for z.\nAnswer: -220, 0, 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1824 and 11.\nAnswer: 20064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkldddldkldeekd. What is prob of picking 2 e?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**3 - 9*d**2 + 10*d. Let t be (-94)\/15 + 840\/3150. Let q(g) = -4*g**3 + 9*g**2 - 9*g. Determine t*q(c) - 5*i(c).\nAnswer: -c**3 - 9*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3384495036.4 - -607?\nAnswer: -3384494429.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/863 or 1?\nAnswer: 14\/863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2137.8 times 1012.12\nAnswer: 2163710.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1431321020 - -12?\nAnswer: 1431321032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-11\/4)\/((i*i*i**(-1\/6))\/(i*i**(-21)\/i)) assuming i is positive.\nAnswer: i**(-137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - 3*j**2 + 0*j)*(-4 - 3 + 6) - 7*j**2 + 9*j**2 + 14*j**2 as y*j + b*j**2 + s and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 1\/4 (c) -2107 (d) 4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7613296?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*12.29.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-198)\/(-154) - (-4 - 32\/(-2))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmjozxmj. Give prob of picking 1 x and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-66))\/(3\/126)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 316 - 308. Which is greater: 17 or h?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*x - 121, -5*u = 2*x - 51 - 76. Suppose -a + u = 4*a. Suppose -3*d + 2 = -10, 130 = a*r + 5*d. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 - 2*b + 19*b**2 - 1 + 4*b**2. What are the prime factors of a(-1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 14306\/10337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.27 - -25. Let g = 0.47 + i. What is the nearest to -0.7 in 2, -1\/2, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 302 + -451. Round i to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/7705 and 35\/2203239?\nAnswer: 738085065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3998 + 3994. What is the closest to 2\/7 in -0.09, f, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-2) - (-3 + 4). Suppose 18 = -3*x - w*x. Let s(o) = 2*o + 3. Give s(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.082, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*30\/(-400)*-10*-2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 154.57 to the nearest integer.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 880123 and -155006.\nAnswer: 725117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 11:17 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0374 + -0.3374. What is the smallest value in 2\/13, 1\/4, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 15\/18)*(-4)\/(-5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*c = -27*c + 344*c + 28350 for c.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09045427 - 59281133.90954573. Let t = 59280501.00289 + h. Let a = -633 - t. What is a rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/1 - 1)\/1. Let u = 2 + 2. Suppose -u*b = -3*f + 10, -f = -5*b + 3*b - 4. What is the highest common factor of f and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.1109.\nAnswer: 0.4436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnq when three letters picked without replacement from {n: 2, q: 7, k: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522898.56 milliseconds to hours.\nAnswer: 0.1452496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 126734 - 63323. What is the ten thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r - 77 + 21 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 6*n**2 + 7*n - 2. Let r be g(-7). Let l = 2 - r. Let p(q) = -q**2 + 5*q. What are the prime factors of p(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 29 = -81. Let y be (-3)\/4 - (t\/(-24))\/11. Which is the third smallest value? (a) -0.3 (b) 5 (c) y (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 113?\nAnswer: 10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3998962?\nAnswer: 2, 11, 67, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*m**5\/7 - 1616*m**4\/7 + 4112*m**3\/7 + 3524*m**2\/7 - 4122*m\/7 - 1908\/7 = 0. Calculate m.\nAnswer: -1, -2\/5, 1, 3, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4305, 4324, 4343, 4362, 4381?\nAnswer: 4400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-1.062\nAnswer: -0.06372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 7102 - 6722 = 0. What is the greatest common factor of 12 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*u - 1274 = 0, 2*k - 7*u + 2570 = -8*u. Which is greater: k or -1285?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1289\/5 + -257. Which is bigger: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 - (5 + -27) - -107?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -6. Let x be i\/(-44)*70 - 3. Let q be 0 - (2 + 4\/(-3)). Which is smaller: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(b + 2*b - 6*b) - 12*b + 2*b - 8*b.\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -39462.9 to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*v - 171, -4*y = y + 5*v - 260. What is the highest common factor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 + 7*q - 15. Let t be (26\/(-39))\/((-4)\/54). What is the units digit of x(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1880000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -7 - (1 - -11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128045.5ug in nanograms?\nAnswer: 128045500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 8 - 17 - 17 = 0. Sort 61, o, -5 in increasing order.\nAnswer: -5, o, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*s + 2, 0 = -4*w - 9*s + 10*s + 14. Find d such that 367*d**4 + 30*d**2 - 186*d**4 - 199*d**w + 3*d**5 + 9*d**3 = 0.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 21090.\nAnswer: 21090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -27, -1\/5, 1\/8, 0.19?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d*m**4 - 155980*d*m - 18819389*d - m**4 wrt m?\nAnswer: 4*d*m**3 - 155980*d - 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -69210 in ascending order.\nAnswer: -69210, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjcccccccjjccjjc. Give prob of sequence jjcc.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 4)*(-1 + 0 + 2)*(-3*y**4 + 9*y**4 - 52923*y**3 + 52959*y**3) to j*y**2 + r*y + h*y**3 + m + l*y**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1 = 3. Let m be 0\/(c - 9\/3). Suppose -4*y - 3*z + 21 = 0, m = 5*y - 2*y - 4*z + 3. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -28. Let g be -9 + (3 - y) + 4. Let u be 1\/(-3) - 1\/(-3). Sort 1, g, u in decreasing order.\nAnswer: 1, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112\/48*4*(-108)\/(-56)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 39 = 9*p, 3*p - 6*z = -5*z - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59159 + 5*t**3 - 59368 + 118527.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1682 and 63\/7528.\nAnswer: 6331048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2004 and 24?\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157387157.\nAnswer: 53, 2969569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3675, 3671, 3655, 3621, 3563, 3475, 3351, 3185?\n\"Answer: -g**3 + 3*g + 3673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1199*b**3*m**3 + 3*b + 1066*m**3 wrt b?\nAnswer: -3597*b**2*m**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12068?\nAnswer: 2, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*k**2 - 11*k**3 - 12*k**2)*(5 - 25 + 14)*(2 + k - 2).\nAnswer: 66*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*v + 2)*(-264*v**2 - 420*v**2 + 218*v**2)*(v - 2*v + 0*v).\nAnswer: 1398*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 1 - 521*b**3 - 3*b**2 + 523*b**3 - 1 in the form w*b + s + c*b**3 + i*b**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -300.8861 - -304.72. Let y = 0.0631 + -0.067. Let o = h + y. What is o rounded to one decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544\/(-156) + (-34)\/(-221)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**5\/60 - r**4\/8 + r**3\/3 + 2*r**2. Let y be t(-2). Let x = y + 3. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2124*h**3*q - 50*h**2*q**2 - 14*q**2 - 84*q + 29 wrt h?\nAnswer: -6372*h**2*q - 100*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000116723533 rounded to 6 decimal places?\nAnswer: 0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 139424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**4*z**3 + 54*l**4*z + 18*l**4 + 2*l**2*z**3 + 4*l*z**3 + 436*z**3 wrt l?\nAnswer: 48*l*z**3 + 1296*l*z + 432*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 153*r**2 + 3*r - 153.\nAnswer: -3*(r - 51)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**5\/20 + 2*z**2. Let v(r) = r**2. Calculate v(c(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.718537 rounded to 2 decimal places?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, e: 2, t: 1, s: 3, c: 3, n: 1}. What is prob of sequence snoe?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1149581 - -3\nAnswer: 1149584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 726815.3s?\nAnswer: 726815300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*d - 13*d = 174069. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r + 19588 = 4711. Calculate the highest common factor of 570 and r.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 16\/65?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-228))\/5*(-16)\/12?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3197*q + 99514 - 110545 = -69903 - 152130 for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/150)\/(-1*((-192)\/40)\/12).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:15 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29.97 - -0.03. Let f = 40 - s. Let p = f - 10.0000018. Round p to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**7\/210 - 2*o**6\/15 - 6*o**5\/25 + 367*o**4\/30 - 1703*o**3\/30 + 507*o**2\/5 + 58*o - 10. Suppose t(h) = 0. Calculate h.\nAnswer: -13, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -203133310 (base 4) in base 7?\nAnswer: -1143616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)*p*p**(-1))**(18\/5)*((p**(2\/7)*p)\/p)**18\/(p*p**(2\/7)*p**7) assuming p is positive.\nAnswer: p**(-194\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 = -0*v - 3*v - 5*b, -3*v = -5*b + 241. Let p = 138 + v. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**3 - q**2 + 4*q**3 - 3*q**3 + (-q**2 - 3*q**2 + 3*q**2)*(-1 + 1 - 2*q) - q**3 + 1 - 1 + 4*q**2 - 2*q**3 - 4*q**2.\nAnswer: q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8598 divided by 8598.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 48020*j + 624264. Determine w(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -1\/20*p**5 + 25 + 0*p**3 + 0*p + 0*p**2 + 3\/16*p**4. Solve g(k) = 0 for k.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**5\/210 - 11*x**4\/14 + 65*x**3\/21 + 366*x**2. Factor g(v).\nAnswer: 2*(v - 65)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -2, -9, -18, -29?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 0*p + 41 - 4 + 2*p - p**2 - 1. Let v be s(7). Solve 0 = -4*n - v - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.143383733 to 4 dps.\nAnswer: 0.1434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -3 + -4 - (-12 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*j - 2 - 18, 5*j - 3*w - 15 = 0. Suppose 0*k = 3*k + 9. Let c = -2 - k. What is the highest common factor of c and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 884 = -2*t - 804. Is t\/(-16) - 1\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 85*t - 1686. What is r(31)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -13. Suppose 3*u - 20 = -m*u. Suppose 3*f - 126 = -u*f. Calculate the highest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1107204 + -593647. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33028, -33029, -33028, -33025?\nAnswer: -33020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 16*k + 141. Determine b(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-2)\/(-1) - (6 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1093, 1585, 2075, 2563?\n\"Answer: -c**2 + 495*c + 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 i when three letters picked without replacement from {j: 17, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/9 (b) -0.4 (c) -1\/6 (d) -2\/2375\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 108378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -63*o. Let i(g) = -18*g. Calculate -5*a(z) + 18*i(z).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 107*h**2 - 2244*h + 743. Calculate v(-125).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - g - 136. What is the highest common divisor of g and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 + 29*u + 3. Let r(l) = 2*l**2 + 29*l + 4. Let b(z) = 4*f(z) - 5*r(z). What is the units digit of b(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 5*n**2 - 5*n + 2. Let g be s(-6). Let f = -68 + 65. Which is the closest to g? (a) -2 (b) 2\/15 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)*w)**(-2\/23))**(-44)*((w*w*w**0)\/w*w*w**2)\/(w*w**(-1))**22 assuming w is positive.\nAnswer: w**(-84\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 300*g**2 - 5*g**3 - 9*g**3 + 40000 + 9*g**3 + 25*g - 6025*g.\nAnswer: -5*(g - 20)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -7. Let m be 0 + (642\/7 - w\/14). Let q = m + -60. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 12*b**2 - b. Let q(t) = -t**2 - t. Determine -2*q(r) + 2*z(r).\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - m. Let h(a) = 3*a**2 + 4*a - 4. Let c(v) = -h(v) + 2*x(v). What is the units digit of c(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47495 + 4?\nAnswer: -47491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3701\/4 + 933. Find the common denominator of n and -19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25528200 rounded to the nearest 10000?\nAnswer: 25530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 487, 715, 925, 1111?\nAnswer: 1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 21*l + 10. Let f(c) = 13*c + 6. Let z(h) = -5*f(h) + 3*w(h). Let k(v) = -28*v**2 + 2 - 2. Give z(k(j)).\nAnswer: 56*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.041 - -0.041. Let f = p + 19.6. Round f to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 + 222240*q**3 - 6179824764*q**2 + 333224655840*q - 4496346741762.\nAnswer: -2*(q - 55533)**2*(q - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1368 + 1372. Calculate the lowest common multiple of 2472 and i.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 28 + 25. Suppose -93 + t = -5*g. Suppose -2*f - 2*i = -10 - 22, 10 = -5*i. What is the greatest common factor of f and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5400 by 1350.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + 22*d**2 - d - 19*d**2 + 0*d in the form s*d + g*d**2 + f + v*d**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 + -582 + (61 - 5)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10667*h**2 - 2*h + 0*h + 10946*h**2 + 2*h.\nAnswer: 279*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111000011000001000 (base 2) in base 5?\nAnswer: -111234224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2480)\/(-46) + (-20)\/(-230). Let y = -78 + 47. Let m = i + y. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdr when three letters picked without replacement from {z: 5, m: 1, q: 2, d: 5, r: 3}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**2 + 20310*d - 20624805 = 0. What is d?\nAnswer: 2031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 172, 0.147, 0.4, -99, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 3) in base 16?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + 0 + -12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1999728, 3999458, 5999188, 7998918?\nAnswer: 9998648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 16*v**2 + 64*v + 64. Let n(o) = 525*o - 2 + 3 - 524*o. What is j(r) - 64*n(r)?\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 406*x + x**3 - 15 + 17 + 300*x - 2 to u*x + s*x**3 + v + k*x**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55955*v**3 + 1205*v**2 + 42*v wrt v?\nAnswer: -335730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g*l**3*p - 6*g*l**3 + 3*g*l**2*p - g*l**2 - 3*g*l*p + 963*g*l + 1595922*l**3 + l*p + 745*p wrt l?\nAnswer: -24*g*p - 36*g + 9575532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(117)\/(sqrt(9) + sqrt(27)\/sqrt(3))) + 4*sqrt(1872))**2.\nAnswer: 122317\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75715 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 3038?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11619162 by 16.\nAnswer: -5809581\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - u. Let s be z(0). Let l be s*(2\/4)\/(-1). Suppose l = r + r - 56. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*k + 958*k - 314*k + 55 - 325*k - 2*k**2.\nAnswer: -2*k**2 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 14. Let r be (0\/3)\/((-6)\/p). Let u(m) = -2*m + 12. What is the least common multiple of u(r) and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by -12?\nAnswer: 47\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-5)*-1 + 2. Which is the biggest value? (a) 3 (b) 0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 5*l**2 - 108226 + 108226 to the form k*l**2 + q*l + u and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397533007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f. Let z(d) = 3091584*d**2. What is z(i(p))?\nAnswer: 27824256*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 20\/(-12) + 5\/(-10)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 take away 51.4635892?\nAnswer: 44.5364108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 15 = -45. Suppose -42*j = 76*j - 49214 - 3886. Calculate the greatest common factor of m and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + x - 632 = 3*w, 0 = 2*w - 3*x + 1267. Round w to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912590 is divided by 2439?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**5\/20 - 3*u**4\/4 - 7*u**3\/6 + 4*u**2 + 173*u. What is k(-7)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1056\/363)\/(13\/(-143)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -1\/4 (c) -5 (d) 1\/13834 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 803 - 800. Sort -4, 2, a, 4.\nAnswer: -4, 2, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 13 + -2 - -16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(3) - (sqrt(3) - sqrt(27)*-5)) + -1*(1 + sqrt(19))**2*-4.\nAnswer: 119*sqrt(19)\/15 + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 4)\/((-1)\/(-5)). Suppose 2*i = 2*r - 9 - q, -3*i = -9. Let k(v) = 10*v - 174. Calculate the lowest common multiple of r and k(19).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + 5.33. Let j = -5 + u. Which is bigger: j or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 8, -1 in decreasing order.\nAnswer: 8, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8 - 20 - 6*u + 13.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1485 - 5?\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 148 - 166. Let p be (9\/q)\/(111\/(-2)). Is 1 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 0.7, -9 in decreasing order.\nAnswer: 0.7, -9, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*w = -22, 2*w - 110 = 5*o + 3*w. Let x(r) = r**3 + 21*r**2 - 29*r + 15. What is the units digit of x(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3834246*h**5 + 3*h**4*t**2 + h*t**2 - 117*h*t - 105*t + 2 wrt h.\nAnswer: 76684920*h**3 + 36*h**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 74.45 and 54?\nAnswer: 4020.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**3 + 142*d**2 - 1338*d + 35912. What is q(28)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/550 and 101\/44?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**3*r**3 - 19*d**3 - 7*d**2*r + 85*d*r**3 wrt r?\nAnswer: -24*d**3*r + 510*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/2018 and -61\/1496.\nAnswer: 1509464","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 4) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, o: 1, i: 4, h: 3}. Give prob of sequence hvhi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1788 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -62773610*n**3*w - 100*n**3 + 673337 wrt w?\nAnswer: -62773610*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4699?\nAnswer: 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 359, 47\/5 in descending order.\nAnswer: 359, 15, 47\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 26. Let y = 8 + z. Let x = 3 + -6. Sort y, -2\/9, x.\nAnswer: x, y, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 - -1001010011000111111101111?\nAnswer: 1001010011001000000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 2, e: 4, j: 4}. What is prob of sequence ej?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (104 - (-30184)\/(-294))\/(((-2)\/48)\/1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 402*m + 13*m**2 + 395*m - 13 - 805*m. What is the least common multiple of 5 and y(-2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*m. Suppose 3*s - 14 = 1. Suppose -2*f + s*f - 471 = m. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, -23.1, -2\/13, -0.3, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*p + 58702 = 46773 for p.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 384*l**2 + 1141*l + 750. Give g(381).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1083 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24129.07 millimeters to kilometers.\nAnswer: 0.02412907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*v + 58, -2*y + 6*v - 22 = 8*v. Let k(l) = l + 21. Give k(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*m + 1213 + 3293 = -12*m + 88 for m.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1485696?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 2 - 2*g + 2*g)*(-3*g**3 - g**3 + 2*g**3) in the form d*g**2 + u*g**4 + s*g**3 + w*g + p and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32925 divided by 15?\nAnswer: 2195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -0.2. Let d be (-171)\/(-190) + (-2)\/(-5)*-1. Let o = -12 + 13. What is the third smallest value in d, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1048336 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9251409 + l - 9251409.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2332294?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53017853 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)\/(sqrt(9) + sqrt(36)))\/((sqrt(4) + sqrt(16)\/sqrt(4))*-1)*6.\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123\/10, 1\/6, 7\/5, -4\/17, 0.1 in ascending order.\nAnswer: -123\/10, -4\/17, 0.1, 1\/6, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 195\/(-52)*16\/9*(-9)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 1. Let h(j) be the third derivative of j**6\/20 - 2*j**5\/5 + j**4\/12 + 4*j**3\/3 - 27*j**2. Let k(m) = -h(m) - 4*l(m). Factor k(o).\nAnswer: -2*(o - 3)*(o - 1)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4011\/105 + -22 + -15)\/(8\/(-35))?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -142, -210, -276?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0173446 to 3 dps.\nAnswer: 1.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 26*r + 59 - 20 - 24.\nAnswer: -26*r - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-20))\/((-2)\/(-6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/45)\/(3\/(-6)). Let w = 5.85 - -0.15. Which is the nearest to -1? (a) -5 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 5\/(-30)*(-113 + -1). Solve -x = -2, 5*r + b = 2*x - 4*x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4727 + 4943. Calculate the greatest common factor of 23112 and z.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -16*b - 184. What is the lowest common multiple of 40 and t(-14)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236535.6 months to years.\nAnswer: 19711.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61088, 244327, 549726, 977285, 1527004, 2198883, 2992922?\nAnswer: 3909121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 7. Let d be ((-3)\/(-1) + -2)*0. Give n(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (0 + -12 + 9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -29. Solve 2*h + c = -1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2893389914?\nAnswer: 2, 29, 97, 514289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2\/g)\/g**(-1\/12) assuming g is positive.\nAnswer: g**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*o = 791*o - 37*o + 31635 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from qcqracrcqcqqa.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3236\/28315*(-7)\/(-32)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - -0.95. Let u = 2.2 + -12.2. Let o be 1 + (-18)\/(-81) + 16\/9. What is the third smallest value in o, w, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -17 (b) 3 (c) -2994.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 85*p - 2005. Determine m(22).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3965\/4 or 0.01?\nAnswer: 3965\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, 3, 23, -16 in decreasing order.\nAnswer: 23, 3, -3, -14, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - -1110110010?\nAnswer: 1110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 223619765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - -2031?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3249540.596001123 + 3249539.8. Let i = 0.796 + q. Round i to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.0733467+9533\nAnswer: 9511.9266533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -46*k - 4. Let r(b) = -38*b - 3. Let u(h) = 3*g(h) - 4*r(h). Let z(s) = 40*s. Calculate z(u(t)).\nAnswer: 560*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9103077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29368 - 29508. Let w = -56 + -86. Let k = b - w. Solve -3*z - k*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302 (base 7) to base 16.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.339 - 1.539. Let d be (-120)\/(-50) + (-1 - (-3)\/5). Let r(i) = -i**2 - 5*i + 1. Let z be r(-5). Which is the closest to z? (a) d (b) g (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12357 (b) -1\/2 (c) -18\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmpp when four letters picked without replacement from {m: 2, p: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7))**(-7\/3)*(u\/u**(1\/6)*u*u)**(1\/16) assuming u is positive.\nAnswer: u**(27\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 3, 2\/3, 39\/88?\nAnswer: 39\/88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79843552 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*c**2*h**4 + 4*c**2*h**2 - 104*c**2 + 86*c*h**6 - 2*c*h - 2 wrt h.\nAnswer: 2448*c**2*h + 10320*c*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36.6 + -37. Which is the second biggest value? (a) 3 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -33*k - 48. Let p(s) = 14 + 2*s + 9*s + 0*s + 2. Let n(u) = -4*b(u) - 11*p(u). What is the first derivative of n(h) wrt h?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -22. Let u be (-25105)\/(-3)*3\/q. Let d = u - 1795. What is the common denominator of d and -39\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174454 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 322 + -182. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 2, r: 1, j: 2}. Give prob of sequence ry.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/368*-23*(-1 - -2) - 1. Let d(w) be the second derivative of -2*w - 2\/21*w**4 - 5\/21*w**3 + 41 - 2\/7*w**q - 1\/70*w**5. Factor d(u).\nAnswer: -2*(u + 1)**2*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 310 - 36)*(-2*k - 2*k + k**2 + 0*k**2).\nAnswer: -312*k**2 + 1248*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1095, -460, -2015, -3570, -5125, -6680?\nAnswer: -8235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 12:58 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3579301 by 121.\nAnswer: -29581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4210, 22490, 40770, 59050, 77330, 95610?\n\"Answer: 18280*g - 14070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 5, h: 5, n: 3, r: 1}. What is prob of picking 1 t and 1 h?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*v - 89 + 89)*(v**2 + v**2 - v**2)*(-7*v - 45 - 2*v + 8*v).\nAnswer: 96*v**4 + 4320*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4366323 (base 8) to base 14.\nAnswer: 22817d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 2, i: 1}. Give prob of picking 1 s and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101010110111001 (base 2) in base 8?\nAnswer: -552671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2847 - -5168. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1150 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2784 and 5760.\nAnswer: 167040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b + 135 - 211 = 0. Solve b*y - 30 = 10*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 483198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h**2 + h. Let t(s) = 3*s**2 - s + 1. Let n(a) = 45*a**2 - 9*a + 9. Let j(b) = -n(b) + 9*t(b). Determine g(j(p)).\nAnswer: 2916*p**4 - 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - -1) - (-3 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 1112012?\nAnswer: 1112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1449*n + 1442*n + 119 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/112)\/(1\/(-4)). Which is the third smallest value? (a) 0.4 (b) -2 (c) w (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3544 and -3516 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31\/12 + -127\/12. Let r = c + 41\/3. Determine j, given that -7\/6*j + r*j**2 + 1\/3 = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 14)\/(-3 - 0). Solve -v + u*d + 13 = 5, d = -v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-9))**(2\/55)*(j*j\/j**21)\/j*j**(-22)\/j)**(-13) assuming j is positive.\nAnswer: j**(6097\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 2*j**2 - 1. Let q be l(1). Suppose 3*u - 3 = 0, -q*d = -u - 16 - 15. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*0.3\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8066532.763 rounded to the nearest 100000?\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 smaller than 3397\/333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h - 22. Let s be q(4). Solve -8 = -s*i - 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 - 0.27. Which is the second biggest value? (a) -1\/4 (b) -2\/31 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4387872593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 101. What is the highest common factor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 4 (c) 0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2205) + -1*sqrt(2205))\/(sqrt(9)*-1*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 21*o**2 - 5 + o + 5 as f*o**2 + t*o + c and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -137*j**3\/6 + 3*j**2\/2 - 48*j - 163. Let q(p) be the first derivative of d(p). Find the first derivative of q(s) wrt s.\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -1) + (36 - 30) + (-27 - -35) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 - 9*g**2 - 3*g - 2. Let u be w(-4). Let c be (-60)\/(-33) + u\/(-33). Solve 0*y + c*y = 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2. Let m(b) = -2854*b + 9. Calculate v(m(t)).\nAnswer: 8145316*t**2 - 51372*t + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6747 - 345.1447. What is n rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -173 + 170.43. Let l = 0.43 - w. Which is the third smallest value? (a) l (b) 0.1 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 12*t + 6*t = 0. Let d(o) = 16 - o**2 + 37 + o - 26 + 22. What is the tens digit of d(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6763*n**2. Let f(o) = -138*o. Determine f(j(z)).\nAnswer: 933294*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -38 - 44. Let m(b) = 9 - 26 + 2*b - 41*b + a. Let q(v) = -16*v + 5. Let w(z) = 24*z - 8. Let u(g) = -7*q(g) - 5*w(g). Give -5*m(i) + 24*u(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by -32?\nAnswer: -55\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**3 + 3*h. Let r(g) = -13*g**3 + 9*g. Let q(b) = 8*c(b) - 3*r(b). Find the second derivative of q(v) wrt v.\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**2 - 3*l**4 + 5 - 3*l**4 + l + 4*l**3 - 11*l**3 + 4*l**4 + 13*l**3 to w*l**4 + m*l**3 + h*l**2 + j*l + o and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2381496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 + -2)*(-5)\/(-15). Suppose -5 = 3*t - 2*p - 0, -5*t - p = 4. Which is the nearest to 1\/6? (a) t (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -423, -823, -1223, -1623, -2023, -2423?\n\"Answer: -400*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16563 by -5521.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -9 - 357. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*x - 421 - 9, 2*y = -4*x + 344. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 457 and 4484998.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-4))\/((-3)\/(-127644)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2837226528?\nAnswer: 2, 3, 19, 53, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**5\/7 + 164*y**4\/7 + 4370*y**3\/7 + 4952*y**2 - 11872*y + 6272 = 0.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.623 + -0.62629. What is j rounded to 4 dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*2\/((-448)\/84)*(-22)\/(-6)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/25)*b**(-20))**(2\/21))**9)**(1\/58) assuming b is positive.\nAnswer: b**(-1503\/5075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1760 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 7:08 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rls when three letters picked without replacement from {r: 2, h: 3, s: 2, l: 2, b: 2, k: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 11 + 8 - 6*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a micrometer in nanometers?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3*r = -8. Suppose g + 3 + r = 0. Sort 2\/5, 3, g in descending order.\nAnswer: 3, 2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 4 = -7*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 36*w**3 + 3*w**2 + 5*w - 2. Let y(v) = 35*v**3 + 3*v**2 + 4*v - 2. Give -4*l(g) + 5*y(g).\nAnswer: 31*g**3 + 3*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n - 14. Let w be 6\/3*(-1 - 3). Let k(d) = -6*d + 9. Determine w*k(g) - 5*r(g).\nAnswer: 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1459335?\nAnswer: 3, 5, 271, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y. Let l(c) be the first derivative of -26*c**3\/3 + 1631. What is l(d(w))?\nAnswer: -234*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 9222.8493 to the nearest 10.\nAnswer: 9220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -30. Let n = 9.8 - o. What is the third smallest value in 0.6, -1, n, 5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = q. Suppose -3*i = -q*y - 26, -2*y - 2 = i - 4. Suppose c - 56 = -i*c. Solve -c = -4*s - 0*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - -71)*(-1)\/(-2)*-2. Let o = f - -79. Solve 7 + 5 = 4*s + 2*j, 4*s + o*j - 16 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19797 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 5:26 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -620, -661, -702, -743, -784, -825?\n\"Answer: -41*u - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - u - 1235, 4*u + 361 = 2*k - 115. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23809398 is divided by 1551.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7)\/y)\/(y\/(y\/(y\/y**(4\/9)))))\/(y*y\/(y**1*y)*y*y*y**(1\/6)) assuming y is positive.\nAnswer: y**(-193\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-7\/5)*t)\/t)\/t**27*(t**(-4\/7))**34 assuming t is positive.\nAnswer: t**(-1674\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -196*r**5 - 4 + 44 - 35 + (-2*r**4 + 4*r**4 - r**4)*(-r + r - 5*r).\nAnswer: -201*r**5 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -2. Let w(z) = z**2 - 12*z + 9. Let c be w(d). Let v = -9 - c. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1303 - 1293. Let p be (6\/(-4) - -2)*6. Suppose q*m = p*m + 588. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 1. Let y(r) = -r**2 + 9*r - 3. Let k be (-33)\/4 - (-12)\/(-16). Let t = k - -17. Let w be y(t). Calculate p(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -8*r + 6*r. Let j = -68 + 28. Let s be j\/r - 10\/45. Solve 2*u - s = -0*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 times -0.13?\nAnswer: 5.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 17 = -2*d. What is the tens digit of (-248)\/d - 10\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303047?\nAnswer: 179, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 394189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4894 at most -4896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6030.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtlmtltutrtrtm. Give prob of sequence rm.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -783 divided by 9.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (147 - 152) + (-1 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a - a = 0. Let k(u) be the second derivative of 0*u**3 + 41*u + 19\/2*u**2 + 1\/5*u**5 + a + 0*u**4. What is the derivative of k(i) wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 3, -0.2, 0.\nAnswer: -9, -5, -0.2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1447326?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (-10556)\/(-462) + (-2)\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144611 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*d = -32*d - 4596961. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45778406*u**2*w**3 - u*w**3 - 2423*u*w**2 + 2*u*w + 10*w**3 - 8*w**2 wrt u.\nAnswer: 91556812*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*82.225.\nAnswer: -41.1125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 134*q - 2710 = 29294. Calculate the lowest common multiple of 364 and q.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/16 and -99\/6712960.\nAnswer: 6712960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 15. Put 2, 1, c in increasing order.\nAnswer: c, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 45*z**2 - 541*z\/2 + 245 = 0.\nAnswer: 10\/9, 49\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 - 3*g**2 + 54*g - 2 + 2*g**4 - 51*g - 56*g**3 to the form p + l*g**3 + d*g**4 + y*g**2 + c*g and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-114 - 0)*8\/(-6). Let d = l + 5. Let h = d + -72. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.4, 5, -0.016, 1\/11, -3, 8\/17?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, -9, 0.2, 1, -881, -3 in decreasing order.\nAnswer: 1, 0.2, -8\/5, -3, -9, -881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 - -71. Solve -t*p - 9 = -3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2078710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -108ca4 + -4?\nAnswer: -108ca8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -305622938*l**3 + 143274637*l**2.\nAnswer: -1833737628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 4, -5 in decreasing order.\nAnswer: 4, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 49?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t + 120 = 0. Let x = 74 + t. Suppose 2*w - x = -2*w. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 3*o = -9, -1559*o - 4 = 4*s - 1563*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15541.5768 + -15559. Let x = -17.4 - r. What is x rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278921401 divided by 51931?\nAnswer: 5371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = 9*k + 3*k. Suppose k = -0*g + 5*g - 4*a - 200, 15 = 3*a. Sort -2, g, -3 in increasing order.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -3*o**5\/4 + 25*o**4\/12 - 5*o**3\/6 - 5*o**2\/2 - o - 21. Determine u, given that b(u) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3996 + 4016. Calculate the least common multiple of 4826 and d.\nAnswer: 48260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7359 rounded to the nearest one hundred?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -522*d + 174*d + 177*d + 169*d. Let a(t) = 2125*t**2. Determine v(a(i)).\nAnswer: -4250*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3447041234 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132 - -42. Let h = -64 - w. Is h a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*k**2 - 10*k + 5*k + 5*k.\nAnswer: 31*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 x when three letters picked without replacement from gtxpg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, h: 2, e: 4}. What is prob of picking 3 d?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -18326.4549 to the nearest 10.\nAnswer: -18330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*s + 5*t = -10, -3*s - 6*t + 4*t - 4 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*a - 39 = 0, 2*r + 144 = -3*r - 3*a. Suppose -4*z = -3*g + 6*g + 87, -145 = 5*g - 5*z. Let l = r - g. Solve -5*f + 5*v - 8 - l = 0, 0 = -v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6*8\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1378 minus -420?\nAnswer: -958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 + 15*i + 28. Determine j(-6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3222 or -3221?\nAnswer: -3222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8 + 693\/(-18))*(5 - 983)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -0.2, 0.65?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14641290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/77*2002\/250965.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 15*m - 9. Let n be w(-5). Let l = 9 - n. Let d be (4 - 363\/l)\/3. Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 + -124. Suppose -4*q + 3 = -4*h - i, h + 5*q = 17. Let n = -62\/5 - -13. Sort h, -3, n in descending order.\nAnswer: h, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16698 - -16693. Put -44\/7, -4, -1, 1\/5, o in ascending order.\nAnswer: -44\/7, o, -4, -1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + 0.7. Let s = 0.6 - i. Let l = s - -0.6. Put l, 4, 5 in decreasing order.\nAnswer: 5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**4\/12 - 2*v**3\/3 + 3*v**2\/2 + 5*v. Let l be j(-3). Let h be (l - 2) + -8*1. Put 1, -7, h in increasing order.\nAnswer: -7, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -69*k - 400. Let f be i(-6). Let l(r) = -r + 4. Let q be l(5). Let d = q - -15. What is the greatest common divisor of f and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -5. Calculate the remainder when 94 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6430 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 14. Suppose 3*l - 5*g = -2*l - 15, i*l = g - 6. Let x be ((-16)\/2 + 3)*l. Solve -4*j - 17 = j + 4*m, -2*m = -x*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**5\/5 + 47*v**4\/5 - 132*v**3\/5 - 36*v**2\/5 = 0. Calculate v.\nAnswer: -1\/4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/((-17)\/34)*(-12)\/22.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 10:13 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -103115.\nAnswer: 7\/103115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 6) to base 3\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t**2 - 12*t + 1. Let g be v(2). Factor 5*w**4 - 65*w**3 - 2*w**2 - 3*w**2 + g*w + 5*w + 55*w**3.\nAnswer: 5*w*(w - 2)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -p + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or -141?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 854 and 30622.\nAnswer: 214354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26317 + 26312. What is the second biggest value in x, 41, -27, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4184 - 1436*t - 4184 + 1439*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7016328 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 155, 145, 131, 113?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 75430.21 years?\nAnswer: 905162.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5860835 or 1.2?\nAnswer: -5860835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + 6 + 5*r**2 + 4 - 13 in the form j*r**2 + q*r + p and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 204071008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1454 + 1454.000679. Round b to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 10*l**2 + 2*l - 1. Let w(c) = c**3 - 10*c**2 - 2*c. Let x(t) = 2*w(t) + 3*y(t). Is x(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -736\/2333 - -417115709\/32662. Suppose -2*g - 76584 = 4*g. Let k = g + c. Find the common denominator of k and -113\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -123*d**3*l**2 + 3013*d*l**2 + 5*d + 237141*l**2 - 8*l - 1 wrt d.\nAnswer: -369*d**2*l**2 + 3013*l**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27 or 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -3, -15, -1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-24))\/(0 - (-4)\/(-84)*7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 a factor of 809709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1263 + -1265. Let z = -1 + 1.5. Suppose 0 = -5*d + 10*d. Which is the closest to d? (a) z (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6119 by 127.\nAnswer: 6119\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 159 = -4*k - 12, -3*r + 4*k + 123 = 0. Calculate the remainder when 165 is divided by r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*f - 587*f = 2*b - 20, f = 21*b - 144 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3814553892 to the power of 1\/2, to the nearest integer?\nAnswer: 61762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**2)**(-23)*f\/(f\/((f\/(f\/((f\/(f**(-11)\/f))\/f*f*f))*f)\/f))*f**3)**(5\/7))**(2\/85) assuming f is positive.\nAnswer: f**(-58\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 2\/11, 1, 1\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 254 + 254)*(-3 + 0 + 2 + (2 + 1 - 5)*(-1 - 5 + 5) + 1 + 2 - 1) - y - y + 0*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 56 and 13.415887186626.\nAnswer: 69.415887186626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 33. Suppose -6*h + 104 = 20. What is the remainder when p is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 - 4*g**2 + 9*g**2 as x*g + c*g**2 + r and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*p + p. Suppose -2*m + 16 = p*m. What is the smallest value in m, -1\/3, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -47*a - 173. Let y be s(-7). Suppose -3*b = 2*b + 5. Let p be (b\/(-2))\/((-2)\/(-48)). What is the highest common divisor of y and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -426007*s**4 + 10824*s**2 - 28*s?\nAnswer: -10224168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 60228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-74)\/(-3)*((-561)\/2)\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Let v = 0.43 - 5.43. Which is the nearest to -1\/2? (a) -2\/17 (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 422, 6, -1 in decreasing order.\nAnswer: 422, 6, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1031986 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 116 = -4. Let r be (-203)\/67 + t\/20. What is the second smallest value in r, -2, -4, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -36*q**3 - 10*q**2 - 4376*q. Let j(l) = 11*l**3 + 3*l**2 + 1458*l. Give -10*j(o) - 3*t(o).\nAnswer: -2*o**3 - 1452*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -210, -361, -524, -705, -910?\n\"Answer: -d**3 - 144*d - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r + 1. Let k(z) = 2*z. Let i(x) = -7*k(x) + 3*v(x). Suppose 66*n = 5*s + 67*n + 36, 2*s = -2*n - 24. What is i(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14902, 21808, 28716, 35626?\n\"Answer: v**2 + 6903*v + 7998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 5:57 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 250 + 80. Calculate the greatest common factor of h and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 206, -0.1, 1\/18, 2\/3, 2\/26727?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 0*j + 0*j)*(0*j - 2 + 6 - 3*j)*(-2 + 2*j + 2 + (-5 + 0 + 2)*(0 + j + 0)).\nAnswer: 3*j**5 - 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 911*w**3 - 909*w**3 + 13 - 11 - 5*w - 3*w**2. What is d(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -28.1. Let l(s) = -187*s + 756. Let k be l(4). Which is the nearest to 0? (a) k (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022 (base 3) in base 7?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by (0 + -30)\/(12 - 324\/24).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1624*t - 5. Suppose 2*k = 2*b - 5 - 1, -3*b = -3. Let y be p(k). Suppose -3*a + 3164 = 5*h - 87, 0 = -5*h + a + y. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1631 - -1634. Which is the third smallest value? (a) -0.18 (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r + 363. Let w be a(60). Solve w*v = -5*b - 9, 3*v + 2 = -7 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1033*l**3*o**3 + 31*l**3 + 62*l**2*o + 4*l*o**3 + l wrt o.\nAnswer: 6198*l**3*o + 24*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 - 13 = -2*i, -4*i = 0. Let p be (-16)\/6*(c + 27\/6). Solve -5*q - p*s = 6, 3*q - 3*s + 2*s - 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*t + 0*t = -230, -3*q - 2*t = -232. Suppose -o + 11 + q = 0. Is (o\/2)\/((-2)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1146, 3, -0.03, 282, -2\/19?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 23*p**2 - 351*p + 323. Give f(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 700 - 2514. Let s = k + 2611. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 654936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0, 0.3, -468 in descending order.\nAnswer: 0.3, 0.1, 0, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4589\/230 - 245\/23. What is the common denominator of a and -83\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 48 = 25*x. Suppose 3*n = -4*v + 9, -3*n = -v - 8*n + 15. Solve x*h = -i - 20, -i + h = -v*h - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a hour in seconds?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2912 and 2476352?\nAnswer: 225348032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8267 (base 11) in base 6?\nAnswer: 122431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56946 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2503 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v + 10. Let t be (12\/8)\/((-1)\/v). Suppose -3*k = 4*m - 8988, t*m + 1577 - 7568 = -2*k. Round k to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 13*x**5\/15 - 5*x**4\/24 - 2*x**3\/3 - 2*x**2 - 29. What is the second derivative of s(t) wrt t?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 42 - 162. Let t = 9 + -4. Suppose 94 = 4*d + t*u, 2*d = -2*d - u + 86. What is the remainder when g is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5*(1 + -2 + sqrt(1900)) + (-1 + sqrt(1900) + 5 - sqrt(1900) - (sqrt(1900) + sqrt(1900) + 4*-2*sqrt(1900))))*-5)**2.\nAnswer: -22000*sqrt(19) + 22990100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j + 3*j)*(1 + 1 + 0)*(-4 + 4 + 13*j).\nAnswer: 78*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*l + 259, 2*i + 3*l - 208 - 245 = 0. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1328*r + 203*r + 864900 - 9*r**2 + 13*r**2 - 102*r - 2493*r.\nAnswer: 4*(r - 465)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 111967488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4 + 25\/(-20) - -14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*u = -3398*u + 40076 - 108267 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 153*m**3 + 2*m - 83*m**3.\nAnswer: -236*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1.5. Let g be (-2)\/(22 - 1904\/84). Let z = 6 - 8. Put o, 2\/11, z, g in decreasing order.\nAnswer: g, 2\/11, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 19*s**2 - 30*s + 11. Let z be t(15). Let q = z + 90. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25\/(-14) - (-6)\/4. Let y = 3.8 - 4. Which is the third smallest value? (a) y (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-784)\/2352*1\/(-4)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22, -3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + x**2 + 2*x**4 + (-2*x**3 - 3 + 3)*(138*x + 9*x + 17*x + 2).\nAnswer: -326*x**4 - 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 39*c + 38. Let t be u(5). Suppose 2*r - 435 = -r. Let q = t - r. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13930.94 - 13930. Let s = -14 - -10. Which is the biggest value? (a) s (b) 2 (c) i (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 106804?\nAnswer: -1\/26701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 9*w - 1. Let k be i(7). Suppose 2*s = -3 + k. Suppose 72 = 5*d + 3*h, d + s*h - 11 = h. What is the remainder when 57 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 5:03 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1273364\/37 + -34415. What is the common denominator of -95\/168 and q?\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 2:17 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (3 - (-20)\/(-8))*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109711 and 502691.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -1\/4920, 2.\nAnswer: -2\/13, -1\/4920, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50432726 - -50432723.7999983. Let q = c + 2.2. What is q rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154266 and 4053?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -20 + 82*m - 41*m - 68*m. Let c(f) = -9*f - 7. Calculate 6*a(j) - 17*c(j).\nAnswer: -9*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/9)\/4)\/(240\/360)*-50\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -9 + 17\/2*v**2 + 1\/2*v**4 - 11\/2*v**3 + 11\/2*v = 0.\nAnswer: -1, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 591*f + 37679. What is d(93)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -589 + 594. Which is the second smallest value? (a) -72\/19 (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**4\/48 + 135*y**3\/8 - 203*y**2\/4 + 1620*y. Let w(z) = 0. Calculate z.\nAnswer: -406, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:17 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1)*(63\/(-9))\/42.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 52 = -50. Suppose 4*k - 185 = 9*k. Let n = j + k. Which is smaller: n or -1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c\/(c\/c**(-5))*c*c))\/c)**(5\/9) assuming c is positive.\nAnswer: c**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/30 + 40\/75?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 5*z - 4. Let l be t(-4). Let w be l\/4 - (0 - 43). Round w to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(21)\/sqrt(3) - (-5 + -2 + sqrt(7))) + ((5*sqrt(42)\/sqrt(6))**2 - 2*sqrt(63)))*-6.\nAnswer: -1080 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*r + 26*r + 79*r - 17*r to the form l + j*r and give j.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-1)\/6)\/(-35*(-35)\/(-9800))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 65 + 56 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.77 - 660.\nAnswer: -657.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 1. Calculate o(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5300582527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8427*k - 176958. What is j(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 819*r**2 - 9*r**6 - 816*r**2 - 27*r**6 wrt r?\nAnswer: -4320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnynejydlnnlnlnnnydj. What is prob of picking 1 n, 1 y, and 1 e?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 143043 (base 5) in base 2?\nAnswer: 1011110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*r - 737 - 487 + 1311 = 672 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-4)*4\/15. Let h = 4.63 - -0.37. Which is the biggest value? (a) 1 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 150 = -5*b. Let j = 64 + b. Let w = j - 28. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 4866681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 841\/(-174) + (-13)\/78?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002929463642 to six decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*i - 8, -4*i - 19 = k. Which is the closest to 3? (a) k (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**3\/2 + 54078*d**2 + 108157*d\/2 = 0.\nAnswer: -1, 0, 108157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4267 - 4097. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (828\/368)\/(6\/(-16))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55570546 not equal to 166711636\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 8*p + 20. Let r be 22\/(-3) + -2 + (-4)\/(-3). What are the prime factors of u(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.03 - 15.73. Sort v, -28\/3, 0.\nAnswer: -28\/3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**3 + 36*f**2 - 224*f = 0.\nAnswer: 0, 8, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -677501?\nAnswer: -677505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123749376 divided by 2.\nAnswer: 61874688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*b**2 + 5690837*b**3 - 11381671*b**3 + 5690836*b**3.\nAnswer: 2*b**3 - 142*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7 (b) 2 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 311360 smaller than 311360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*j + 24 = -122*j. What is the tens digit of (-5455)\/(-10) + 4\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brr when three letters picked without replacement from {r: 4, b: 8}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + -51. What is the lowest common multiple of r and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 11. Suppose 4*i - 20 = -m*p, -4*i + 5*p - 3 - 5 = 0. Solve -3*x = -i*s, -3*x - s - 20 = -8*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 + -89. Calculate the remainder when -23*((-56)\/20 - 16\/80) is divided by r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1839 or -1859?\nAnswer: -1839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**5 + 892*p**4 - 2*p**3 - 38*p**2 - 155*p + 1.\nAnswer: 60*p**2 + 21408*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 11 = a, 5*u - 2*a - 12 = 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/66*(-3516)\/1172.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-514280)\/63296)\/(10\/64)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g = 56 + 25 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 5*g - 7. Let b be a(6). Let y = 1 - b. Let v = 2 - y. Solve -2*h = -v*h - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3288*x + 1422 = 3287*x. Is -1422 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 + 1227922*g**3 - 75*g**5 - 1227922*g**3 + 2*g**5 + 4*g**5 - 4*g**5 + (3*g**3 + 0*g**3 - 2*g**3)*(-5*g**2 + 5*g**2 - g**2).\nAnswer: -74*g**5 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3 + 302*p**2 + 4063*p + 141. What is z(-58)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*o - 39, -z - 3*z + 2*o = -38. Suppose 11*q = z*q. Suppose q = 5*g - 113 - 67. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1. Let p(d) = -2*d - 66. Let r(i) = 3*j(i) - p(i). List the prime factors of r(0).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 259775 + -259794.00065. Let k = s + 19. What is k rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -0.3, -2\/13, 0.19 in decreasing order.\nAnswer: 0.7, 0.19, -2\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 + 229 = -5*k. Suppose -4*n + n + 13 = -2*o, k*n + 23 = -5*o. Solve 6 - n = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672280.9 millennia in months?\nAnswer: 8067370800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 6*n**2 + 3*n - 6. Let h be z(-5). Put 0, -3, h in descending order.\nAnswer: h, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -11*l + 54. Let r(o) = 12*o - 57. Give 4*q(s) + 3*r(s).\nAnswer: -8*s + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 48 = -4*v + 2*v, -4*v = -x + 26. Suppose -2*p = -2*t + 300, -2*t + 5*p + 9687 = 9417. Calculate the greatest common divisor of x and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -13. What is the least common multiple of 22 and n + 14 + (4 - 7)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**3*y**3 - 165*p**3*y + p**2*y - 89*p*y**3 - 11*y wrt y.\nAnswer: 24*p**3*y - 534*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**3*z**3 + 2*t**3 - 15*t*z**3 - 195*t*z**2 wrt z.\nAnswer: -6*t**3 - 90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 25. Suppose -3 = -v + r. Calculate the lowest common multiple of 21 - (-1 - (-1 + 1)) and v.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6121007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 37*j. Let s(i) = -3313*i**2. What is b(s(m))?\nAnswer: -122581*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53886641?\nAnswer: 19, 2836139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (20 - (-12 + 15))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.083989 days to hours.\nAnswer: 218.015736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**4 - 3*x**4 + 4*x**4 + (0*x**4 + 2*x**4 + 2*x**4)*(-2 - 2 + 2) + x**4 - x**4 - x**4 as l*x**2 + b*x**4 + v*x**3 + u*x + t and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 117 + 40 = 52 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 98 + 12e11?\nAnswer: 12ea9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 6*p + 1. Let f be n(-8). Let q be 5\/((-45)\/(-1038))*(-6 - -9). Let u = q - 328. Are u and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -858 divided by -78.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -11. Let k = 34\/9 + w. Is 0 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1013144010 + 1?\nAnswer: 1013144011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 60*s + 40. Calculate the least common multiple of 8 and m(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvaccoacjccjaccjcjjc. What is prob of picking 1 c and 1 a?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -3\/5 (c) -2 (d) -2\/419 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10416, -21435, -33056, -45273, -58080, -71471?\n\"Answer: z**3 - 307*z**2 - 10105*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -17*k**3\/6 - 19*k**2\/2 + 20*k. What is the hundreds digit of h(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-1 + 0 + 4)*(s - 2 + 2 + (-10*s - s + s)*(2 - 1 - 2) + 3 - 3 + 2*s).\nAnswer: 39*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201, 392, 571, 732, 869, 976, 1047, 1076?\nAnswer: 1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31516 - 155?\nAnswer: -32004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -138, -295, -452, -609, -766?\n\"Answer: -157*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**4\/6 - u**2 - 10*u. Let r(g) = -2*g**2 - g - 2. Give -3*c(z) + 2*r(z).\nAnswer: 2*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkkkgkkgkkppgkgkkkkk. What is prob of picking 1 g and 2 p?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - a + 41, -11*w = -7*w - 5*a - 128. Solve 0 = 3*c - w + 28 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/2)\/((548\/4)\/1370).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3595 is divided by 179?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 4*o. Let j be a(5). Which is smaller: j or 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-8) - (-100)\/16 is divided by 1 - (-6 + 1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94.2 - -93.9. Which is the biggest value? (a) 1\/4 (b) s (c) -26.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 - 8*u**2 + 8*u**2 + (-4 + 4 - 2*u**3)*(-3*u + u + 0*u) + u**4 + u**4 + u**4 + (3 + 1 - 5)*(8*u**4 - 11*u**4 + 0*u**4).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-77)*341\/31?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 13*v - 29. Let f be s(15). Let m(j) = 176*j. Does 44 divide m(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58878979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 7:57 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + (sqrt(187) - 2*sqrt(187)))*5*2)\/(sqrt(11) + -1*sqrt(11)*1 + (sqrt(11) - -3*1*sqrt(11))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3229 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 9:39 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -25*o**2 + 12*o + 9. Let m(l) = 6*l**2 + 1. Let u(j) = 4*m(j) + p(j). Determine u(14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -7*n**3 + 8*n**2 - 12*n + n**3 + 7*n**3 - 11. Let b be x(-9). Let z be (-1)\/4 + (-4)\/b. Put z, -2\/9, 4 in increasing order.\nAnswer: z, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1541 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.318011 months in years?\nAnswer: 1.85983425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 2\/3*h**3 - 3\/4*h**4 + 1\/2*h**2 + 1 + 0*h. What is the units digit of u(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -3*u**5\/40 - 3*u**4\/8 - 3*u**3 - 6. Let n(y) be the third derivative of v(y). What is the derivative of n(r) wrt r?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -72, -26, 5, 8 in ascending order.\nAnswer: -72, -26, -2, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*p + 5*f + 13, 3*p - 64 = -2*f. Suppose 36 = 3*i + 3*j, 2*j + p = -0*i + 4*i. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 507 or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 3*j**2\/2 + 1. Let h(b) = b**2 + b - 1. Let t(x) = 3*x**2 + 4*x - 4. Let z(i) = 4*h(i) - t(i). Determine d(z(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 + h - 1. Let d be u(1). Suppose -6*c = -2*c + 5*i - 44, -4*i = d*c - 48. Solve c + 4 = -5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.0312\nAnswer: 0.0624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669641396?\nAnswer: 2, 19, 139, 63389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*z = -65, -21*z + 24*z = -y + 23. Solve y*l = 7*l - 78 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-12 - -3 - (-14 + 9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 329 - 330.93. Let r = g - 0.07. Which is the closest to r? (a) -2 (b) -0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i + 5*j = -13, -2*j = -i + 3. Let v(o) = 2*o - 1. Let b be v(i). Is (-3)\/b*11\/1 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109521?\nAnswer: 3, 43, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x**2\/4 - 413*x\/2 - 402 = 0. What is x?\nAnswer: -804\/11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (23 + 6 + -18)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxsxxinnxxxi. Give prob of sequence ini.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3003 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32660768 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1795022 + -0.3?\nAnswer: 3.8795022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3592528*t**3 + 9410177*t**2 wrt t.\nAnswer: 21555168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 + 0 = 0. Solve -4*i - 2*t = i + 13, 5*t + 18 = g*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 737 or 421011?\nAnswer: 737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -20*c**2 + 3*c + 17. Let k be (-6)\/(-5)*(-20)\/(-8). Let a be k + (-5 - -4) + 15. Let x(d) = -7*d**2 + d + 6. Calculate a*x(z) - 6*w(z).\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28865300517.8 - 12.\nAnswer: -28865300529.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + p. Suppose 283 = -11*v - 685. Let z(f) = 36*f**3 - 44*f. Give v*a(d) - 2*z(d).\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*o + 9. Suppose 0 = -3*x - o, -6*t + 159 = -t + x. Suppose -t = -5*a + 43. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, t: 4, n: 2, s: 1}. Give prob of sequence psp.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*z = 7 + 1, 5*p = -2*z + 24. Let j be 177\/261 + (-2)\/p. Let g = -10\/29 + j. Which is greater: -4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 d when three letters picked without replacement from dhhddhddjdhhdhydd?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 7*u**2 - 11. Let i(r) = -r**3 - r + 1. Let l(h) = -4*i(h) - y(h). Let f(d) = 3*d**3 + 4*d**2 + 2*d + 4. Give 7*f(j) - 4*l(j).\nAnswer: j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**2\/2 + 5*j - 3. Let g be z(4). Suppose 5*n + g = 6*n. Solve 5 = -u + n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*u*x**2 - 84247*u*x - 5*u - 12*x**5 wrt x?\nAnswer: 170*u - 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 10) to base 3.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 144215805.99.\nAnswer: 144215808.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**7\/840 - r**5\/30 + 5*r**4\/24 - r**3 + 6. Let v(p) be the third derivative of i(p). Is v(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 + -0.11. Let v = d - 0. Which is the closest to 0.1? (a) 0 (b) 0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85553 times -202?\nAnswer: 17281706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142 by -23.\nAnswer: 142\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-20))\/((-1)\/28) - -2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3 + 190*a**2 - 45731*a = 0.\nAnswer: -329, 0, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*t + 1086, -5*t - 948 = -w - 3609. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 40. Factor 15*y**4 - 18*y**3 + 33*y**3 + 10*y - 25*y**2 - 10*y**3 - 25*y**o.\nAnswer: 5*y*(y - 2)*(y + 1)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -17*o**3 - 6*o**2 + 6. Let s(a) = -15*a**3 - 12 - 11*a**2 + 23 - 18*a**3. What is 6*s(w) - 11*z(w)?\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/25)\/(h*h**6*h))\/((h\/(h*h*h**(2\/17)*h))\/h**(-12)) assuming h is positive.\nAnswer: h**(-7634\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.536136ml?\nAnswer: 0.009536136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3205 is divided by 1264.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44\/19 or -3?\nAnswer: -44\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 617014?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10000843 is divided by 682?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10176 and 1325?\nAnswer: 254400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237827757.\nAnswer: 3, 41, 1103, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntnntnnrrt. What is prob of picking 2 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 23, -30347 in decreasing order.\nAnswer: 23, -3, -30347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4959\/5 or 991?\nAnswer: 991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -115 + -2?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 7. Let h(v) = v - 3. Let d be (-68)\/(-3) - (-4)\/12. Let j = d - 13. Calculate j*h(l) + 4*r(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 2823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.101573 take away -29?\nAnswer: 30.101573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -599853 + 914138. Suppose -6*f + m = -f. Let h = f - 116857. Round h to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-360))\/((-12)\/396)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*d + 4 - 5 - 122*d + 2*d**3 - 18*d + 3 in the form o + j*d + y*d**3 + s*d**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 0*k**2 + k**2 - 2*k**2 to the form c*k**2 + w*k + y and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/80*-16*(0\/4)\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-40)\/36)*(-20)\/12?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 9*f**2 - f + 13. Let l = -472 - -481. Let k(p) = 14*p - 112. Calculate the remainder when z(-10) is divided by k(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3 + 5313412*n**2 + 10626836*n + 5313420 = 0. Calculate n.\nAnswer: -1, 1328355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88606016 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 948515.5 meters in nanometers?\nAnswer: 948515500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-2*4 - -1). Let b = -5 - j. Calculate the lowest common multiple of (-51)\/(-9) + 4\/(-6) and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l + l + 4 - l**2 + l = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 1. Suppose -3*v - h = -4*v. Suppose -m + 5*i = i + 3, -v*m + 48 = -4*i. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 89073.\nAnswer: 89073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 42940 in decreasing order.\nAnswer: 42940, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 1 - (-99 + 89)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -483 - 45 = -6*o. Suppose 7*m - o = -4*m. Solve -j = 4, 2*c + 20 = -5*j + m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -180*m - 2. Give u(2).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 3 + 3)*(3 + 0 + 0)*(10*w + 8*w + 8*w)*(w**2 + 2 - 2).\nAnswer: -156*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (6 + -19 - -25)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*d = -76*d + 1170 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3133153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 66\/74189129?\nAnswer: 66\/74189129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 302 by 563.\nAnswer: 302\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**5\/15 - d**4\/6 - d**3 + 17*d**2. Let j be m(3). Suppose j*f - 50 = 8*f. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -9*z + 82. Suppose -c + 279 - 42 = 0. What is the remainder when c is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*((-1)\/30)\/(24\/(-32)). What is the smallest value in 0.2, 0.4, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -1\/60*r**5 - 5*r**2 + 1\/4*r**4 + 0 + 0*r + 2\/3*r**3. Calculate t(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5679*s**2*x - 5*s**2 - 9*s*x + 3002*s + x wrt s.\nAnswer: -11358*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195 and 5825.\nAnswer: 227175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141772 and 6164.\nAnswer: 6164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 137236 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 4, -4*r = -3*w - 0*w - 22 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, -45, -264, -699, -1422, -2505, -4020?\nAnswer: -6039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*b**2*d**2*u - 5*b**2*d*u - b**2*u - 3*b*d**2 - 2*b*d*u - 99*b*u + 2*d**2 wrt b.\nAnswer: -18*d**2*u - 10*d*u - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -404, -3274, -11076, -26276, -51340, -88734?\n\"Answer: -411*n**3 + 7*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.54 + 31.54. Let u = -20 - -33. Suppose 0*s - u = -y - 3*s, 2*s = -3*y + 11. What is the third biggest value in 2, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Suppose -5*m + 4 + 11 = 0. Suppose 4*r = r + 3*g + 3, 0 = m*r - 4*g - 3. Let b(x) = -9 - 14 + 6*x + 23 - x**2 + 0. Give r*b(c) - 6*f(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2187747 - -293?\nAnswer: 2188040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 268752000 rounded to the nearest one million?\nAnswer: 269000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 26341?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 266, 396, 542, 710, 906?\nAnswer: 1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 6:15 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + -0.25. Let s = i + 0.2. Let l be 16\/(-6) - ((-21)\/(-9) - 3). Which is the nearest to -0.2? (a) l (b) s (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from {v: 6, b: 2, x: 2, q: 2, k: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4024 and 12008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijc when three letters picked without replacement from ocotjhtttthhiitoctc?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.04 - 5.74. Let w = g + 4.6. What is the third biggest value in w, 2\/13, 4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**(-13\/3)*u*u)*u**(-14\/5)*u\/(u\/(u**(-8\/3)\/u))*u\/(u\/u**(-12)))**(-3\/8) assuming u is positive.\nAnswer: u**(53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 57 = -3*x + p, -p = -2*x - 33. Is ((-636)\/x)\/(4\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hzxjhz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*x - 2*v + 52, -3*x + 49 = 5*v. Let f(m) = -m**2 + 19*m + 6. Calculate the remainder when 46 is divided by f(x).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.109 * 0.4.\nAnswer: -0.0436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*z = -86*z. Let v(p) be the second derivative of z*p**4 + 0*p**3 - 23\/20*p**5 - 29\/2*p**2 + 0 - 27*p. Differentiate v(f) wrt f.\nAnswer: -69*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.06 - -4. Let t = 0.25 - -0.31. Let h = i + t. Which is the smallest value? (a) h (b) -3\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5*(0 + 40). Suppose -5*t - m = 3*x - 4, -5*x + 4*t = -17. Suppose 4*h + x = -7. Which is greater: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -27*k - 23. Let v(s) = 13*s + 12. Let z(o) = -3*a(o) - 5*v(o). Let r be -4*1 + (-48)\/((-48)\/8). What is the units digit of z(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22395470?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l + 5*l + 51 = 186 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 4*z**2 + 5*z - 4. Let m be x(3). Suppose 16 = m*c + 2*c. Solve -c*b + 2 = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*9\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 0, 5, 24, -10, -1 in ascending order.\nAnswer: -10, -3, -1, 0, 3, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 614*x**5 + x**2 - 141 wrt x.\nAnswer: 36840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r**(-2\/63)*r**(-17)\/r*r*r**5\/(r*(r*r\/(r*r*r\/(r*r**(-5\/6)*r)))\/r) assuming r is positive.\nAnswer: r**(-1285\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.089 + 0.211. What is the biggest value in 2.5, -1, i?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 113398420*g.\nAnswer: -2*g*(g - 56699210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6475 and 26975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*w + 1 - 14*w + 2*w - 2*w**2 + 2*w - 2 as i*w**2 + j + y*w and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-84)\/(-10) - (-6)\/10. Let v = j - 4. What is the closest to -2\/3 in -1, -4\/7, v?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111428083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/5100 and -87\/706690.\nAnswer: 21200700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*o**3\/7 - 117*o**2\/7 + 120*o.\nAnswer: -3*o*(o + 5)*(19*o - 56)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.55 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 316*l**2 + 2*l - 2*l - 1165*l**2 as g + s*l + y*l**2 and give y.\nAnswer: -849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*((2*sqrt(192)*4 - (sqrt(9)\/sqrt(3)*-4 + 2)) + -1))**2.\nAnswer: -235008*sqrt(3) + 7995456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 5*t - 6. Let b be l(-4). Let v(h) = 13*h**2 - h**2 - 3 + 7 + 13*h + h**3. Calculate the remainder when v(b) is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocn when three letters picked without replacement from convk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 14719?\nAnswer: 14716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 417854?\nAnswer: -4178.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 29. What is the greatest common factor of g and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2118332.7 milliseconds?\nAnswer: 35.305545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.012462 * -80.\nAnswer: 0.99696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 555*f**3 + 7*f**2 + 10991*f?\nAnswer: 3330*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z + 21. Suppose 0 = 229*o + 2994 + 441. Determine t(o).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, s: 2}. Give prob of sequence uuss.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 + 0.42. Let z = c + -0.5. Let b = z + 0.0999975. Round b to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-75)\/20)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 0*h**3 - 1\/30*h**5 + 0*h + h**2 + 0*h**4 + 0 + 1\/40*h**6. Find the third derivative of t(m) wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6d64 (base 16) in base 14?\nAnswer: -a2c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 l, and 2 g when four letters picked without replacement from {g: 3, a: 6, e: 2, l: 5, x: 2, p: 1}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1232688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310533063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 8*g + 6*g = 0, 0 = -2*a + 3*g - 11. What is t in 1\/4*t**a + 1\/4*t + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.17 - 1.47. Let f = 4.7 - s. Let l = 6 - f. Which is the nearest to 1? (a) l (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k + 176471 + 397614 = 0. Is (-1*3)\/(5\/k*3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*5164373.\nAnswer: -5164373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -376 - -371. Let f(o) = 3*o + 1. What is f(v)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1079154, 2158307, 3237460, 4316613, 5395766, 6474919?\n\"Answer: 1079153*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411*z**2 - 846*z**2 - 277*z**2.\nAnswer: -712*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -10*f**5 - 131568*f**4 - 21153906*f**3 + 4236044*f**2 = 0?\nAnswer: -12994, -163, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/7)\/(h\/(h*h**21\/h)))\/((((h\/(h*h\/((h*h\/(h*h**(-18)\/h))\/h)*h*h))\/h)\/h)\/(h\/(h**(-1\/3)\/h))) assuming h is positive.\nAnswer: h**(184\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k - k)*(2*k + 1 + 4 + 11).\nAnswer: -4*k**2 - 32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3308 = 1097*s + 7579 - 49248 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -243829365*k + 163045446 wrt k?\nAnswer: -243829365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/30 and -23\/1210.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94143478*i**5 + 9503211*i**2 + 4*i - 2 wrt i?\nAnswer: 5648608680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3622 - -3622.4. Let z = 0.02 - 0.42. What is the closest to z in -0.1, w, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -0.2286?\nAnswer: 4.7714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + 1 - 1)*(-7*x**2 + 14*x**2 + 21*x**2) - x + x - x**3 in the form m*x**3 + b*x**2 + h + v*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1393.6752 rounded to one dp?\nAnswer: -1393.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 5:56 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-3)\/(-1)))\/((-3)\/(-9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 4*y + 3*y)*(-67*y + 59*y - 152*y)*(-2 + 4 - 1).\nAnswer: 480*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522138876.\nAnswer: 2, 3, 7, 929, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 21450*a**2 - 190*a + 577. Is f(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4150.55 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*y - 2*y - 2*y + (-6 - 6*y + 6)*(-1 - 2 + 1))*(2*y**3 - y**2 + y**2).\nAnswer: 58*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-45) - 888\/(-270).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -7*t + 5*i + 25, -3*i - 15 = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*o**3 - 64\/5*o**2 + 0 + 156\/5*o.\nAnswer: 4*o*(o - 13)*(o - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5*r - 29 = 0, -9 = -w - 41*r + 39*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-219274352.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*u - 287 = 116 + 246 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6*6637\nAnswer: -39822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10375977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 12:24 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9149067 and 12.\nAnswer: 109788804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4509, 19187, 43657, 77925, 121997, 175879, 239577, 313097?\n\"Answer: g**3 + 4890*g**2 + g - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -27, 4, -3, -1, 3850 in decreasing order.\nAnswer: 3850, 5, 4, -1, -3, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 + -57. Solve -3*b - 4*k = 17, 5*b + 0*b - 2*k + x = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*z - 23, 0 = -5*b + 7*b + 6. Suppose -m = 5*n + 3, -m + z = 3*n + 2. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800372717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(-175)\/(-7000)*(4\/(-6))\/((-21)\/9)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 58\/8 - (-6)\/8. Let o be (1*-2 + p)\/2. Suppose -o*i + 1500000 = -s - 4*s, -3*s - 900000 = 4*i. What is s rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g**3 + 26*g**2 + 29*g + 17. Calculate m(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (2 + 0) - -30. Suppose 2*o - 5*z = -o + 89, 0 = -o + 2*z + i. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*f = -6081, 4*f = -59*q + 51*q + 48720. What are the prime factors of q?\nAnswer: 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000066087 rounded to six decimal places?\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -38155 to the nearest one hundred.\nAnswer: -38200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2361 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, d: 9, h: 2}. What is prob of picking 1 h, 1 d, and 1 u?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4*v + 20 = v - 2*v, -2*v - v + 8 = s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1074 - 4070. Is z at least as big as -2995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2, -16, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Let y = 0.0592 + -0.3902. Let z = 0.831 + y. Which is the fourth smallest value? (a) z (b) -0.5 (c) o (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - w. Let l(r) = 3*r**3 + 2*r**2 + 2*r - 2. Let v be (-5 - (-5 + -87))*-1. Let x = -85 - v. Calculate x*p(o) + l(o).\nAnswer: o**3 + 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 1151 = -5*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 - 10\/(-4). Suppose 2*x = -f*c - 10, x - 10 = 3*c - c. Which is bigger: x or -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 - 53*k**2 - 241*k + 51. Give r(-20).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 188150400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1077 + -739. Let t = p + -338.0000442. What is t rounded to six decimal places?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -647 + 652. Solve -1 = -i*c + m + 10, -7 = -2*c + 3*m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82034.03 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 20*r**2 - 79*r + 60.\nAnswer: -(r - 15)*(r - 4)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 g, and 1 w when three letters picked without replacement from {l: 1, c: 2, g: 11, w: 2, q: 3}?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -31 - (3 - 29) - 10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 371457 and 371418 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -21, -34, -51, -72, -97, -126?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489\/(-2)*-10*3068\/708?\nAnswer: 5, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 3:24 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**2. Let h(r) = -26*r + 5. Determine l(h(g)).\nAnswer: 3380*g**2 - 1300*g + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5848.344 weeks to hours.\nAnswer: 982521.792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 t when three letters picked without replacement from {h: 1, t: 7}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - -7 - (-3 + 1). Let x be (-166)\/18 + w\/36. Let r be (-14)\/(-30) + (-3)\/x. Is 2 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*x + 648 = 0, -4*f - 5*x + 1426 - 901 = 0. Calculate the remainder when 302 is divided by f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1003311311 (base 4) to base 3\nAnswer: 112010011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*h = -5 - 11, 0 = 5*v - 2*h - 25. Solve 5*n = -3*a, 5*a = -2*n - v*n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99*(-2)\/8*1208\/906\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g**2. Suppose 3*t + 2*j = 6, 13*j - 16*j = 2*t - 9. Let f(r) be the third derivative of 8*r**2 + 0*r + t*r**3 + 0 - 1\/4*r**4. Determine f(s(v)).\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 10*x - 8*x. Let j be (-24)\/(-2)*35\/x. Solve 2*p = 7*p - j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/9 and 119\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3485300 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32845 (base 9) in base 13?\nAnswer: 9c23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -111100101010111010?\nAnswer: -111100101010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83 and 27473?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12945 - -12977. Solve 71 - x = -13*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u. Suppose u = 5*l + 39 - 564. What are the prime factors of l?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 70577 = -g - 2*r + 70583, -6*g - 3*r = -2*g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/3 (b) 2\/17 (c) 1\/9 (d) 1.1 (e) -6\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**7\/840 + s**6\/480 - s**5\/240 - s**4\/96 + 2*s**2. Factor x(v).\nAnswer: v*(v - 1)*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**6 + 10*r**4 + 46*r**2 - 10. Let d(q) = -q**6 - q**4 + 1. Let x(a) = c(a) + 10*d(a). What is the third derivative of x(h) wrt h?\nAnswer: -480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -401814, -401493, -400954, -400191, -399198?\n\"Answer: x**3 + 103*x**2 + 5*x - 401923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = -0*r. What are the prime factors of r - 2*(-3)\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44214, -88452, -132706, -176982, -221286, -265624?\nAnswer: -310002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -9*v. Let c(j) = -14*j**2. Determine d(c(k)).\nAnswer: 126*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from rrrllrrrlrllllll?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/12)*p**4)\/(p*p**(1\/4))**(-9\/5) assuming p is positive.\nAnswer: p**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*h - 24, 0*m - 2*m + 5*h = 4. Let k(o) = o - 5. Let f be k(3). Let s be (14 + f)\/(m\/12). What is the highest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-242)*8\/(-10)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 64. Suppose -2*g - 3 = 1. Let q be (-12)\/9*6\/g. Calculate the highest common factor of j and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 836*s + 4223 = -1427*s + 81165 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 70958*y - 66 - 7 + 44314*y.\nAnswer: 115272*y - 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + 2*z**2 - z**2 + (1 - 2*z - 1)*(2*z + z - z) + 2*z**2 - 5*z**2 + z**2 + 3*z**2 - 4*z**2 - 4*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 88\/(-14)*10\/(-540). Let i = 8675\/378 - s. Find the common denominator of i and (11\/(-7))\/((-12)\/154).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175785146 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 3*p + 4. Let g be m(3). Let x(b) = b + 0*b - 16 - 2*b. Let c be x(-16). Solve y + g*f = 2*f - 6, 5*y - 4*f - 40 = c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 1\/5, -1, 1.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*c + 16. Is 1 - -55 - (c - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a**3 + 4*a - 1. Let r be (12\/8)\/(6\/(-20)). Let h(s) = -7*s**3 + 5*s. Give r*o(j) + 4*h(j).\nAnswer: 2*j**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18320?\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 5 + 12 = 4*n, -3*v + 3 = 3*n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 - ((48\/(-3) - -8) + (-4)\/4)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 5*z + 2. Let k be b(4). Let j(p) = p**2 - 3*p - 3. Let l be j(2). Let h be 169\/7 + l\/105*3. Solve -k = 2*d + 4*r, r + 8 = 3*d + h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36188.83 years in centuries?\nAnswer: 361.8883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14711 = -123*h + 664. Let m(g) = 31*g**2. Let q(f) = 650*f**2. Give h*m(a) - 6*q(a).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 156962054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3604 - 3603.887. Put -8, 2, h in increasing order.\nAnswer: -8, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 13*g**2 - 11*g + 14. Let x be p(-12). Solve 4*s = x*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 624 + -602. Suppose 18970 = 13*j + o*j. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128 - -83. Let q be 138\/360 - (-6)\/z. Which is the fourth biggest value? (a) -15 (b) q (c) -0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2234\/9 + -248. Let t = -7 + 7. Suppose -3*a - 2 + 3 = -p, t = -a + 5*p - 23. What is the second smallest value in q, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 49012862405808.\nAnswer: -49012862405799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -377 - -791\/2. Find the common denominator of i and 97\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45114645 by 6.\nAnswer: 15038215\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001011101 (base 2) in base 3?\nAnswer: 10122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 4*v - 252 - 334 - 9*v.\nAnswer: -4*v - 586","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010 - -100?\nAnswer: -1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Suppose 0 = -c*q - 2*q + 60. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/6*2)\/((-5)\/10). Which is the fourth biggest value? (a) y (b) -4\/9 (c) -4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -579, -712, -1071, -1770, -2923, -4644, -7047?\nAnswer: -10246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 125*i**2 + 5*i - 10. Let s(r) = -1127*r**2 - 46*r + 92. Let d(u) = -46*n(u) - 5*s(u). Let k(q) = q. What is d(k(x))?\nAnswer: -115*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (sqrt(17) + 1)*-6) - (4 + sqrt(612) + 1 + sqrt(612) + sqrt(612) + 0)**2.\nAnswer: -5526 - 174*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 274 - 273. Solve -6*m - s = 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxwx when four letters picked without replacement from {p: 4, x: 3, i: 6, w: 4}?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5183815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 71721206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -8, 3 in decreasing order.\nAnswer: 3, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*b + 60, -2*x + 5*b + 7 = 4. Calculate the greatest common factor of x and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-270)\/(-20)*22\/(-33)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(2\/2))\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from rgxxgrgyxx?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + -33. Let q(a) = 2485*a + 2493. What is the remainder when h is divided by q(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -10*o + 110. Let p be v(-16). Let s = -171 + p. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-3))\/(22\/(-495)). Suppose -3*d = 3*a - n, a + 3*a + 2*d = 14. Suppose -39 = -a*k + 21. Calculate the greatest common factor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 226, 237, 254, 277?\n\"Answer: 3*u**2 + 2*u + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82068 by -14.\nAnswer: 5862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6270 or 3?\nAnswer: -6270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -54*n**2 + 117*n - 18. Let p be v(2). Solve -5*q - 64 + 58 = -d, p = -2*d + 3*q - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-12 - (2 + -25 + 10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78260 by 215.\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*s*x + 1034*s - 6582*x wrt s?\nAnswer: -2*x + 1034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56693728*k**4 + 1319*k**2 + 17240.\nAnswer: 1360649472*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 13925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 18*c**2 + 50*c + 118. Let b(p) = -p**3 + 18*p**2 - 42*p - 117. Let x(k) = 5*b(k) + 4*n(k). What is x(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h + 62. Let x be d(-11). What is the tens digit of (-9 + -17)*2\/(4\/x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + -1.97. Let v = 10.8 - -17.2. Which is smaller: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**2 + 5*t - 5. Let x(y) = y**2 - 6*y. Let a be x(9). Suppose -30*k = -21*k + a. Let i(l) = -3*l**2 - 3*l + 3. Determine k*v(r) - 5*i(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63077?\nAnswer: 7, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3954 is divided by 331.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 60\/(-7)*672\/(-1856). Is o smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 3160.5392.\nAnswer: 316.05392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751492585?\nAnswer: 5, 150298517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -4, 0.5, -11\/4, 0.1 in ascending order.\nAnswer: -4, -11\/4, 0.1, 0.5, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -2*f**5\/55 + 5*f**4\/22 - 16*f**3\/33 + 4*f**2\/11 - 4. Factor k(o).\nAnswer: -2*o*(o - 2)**2*(o - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73669828?\nAnswer: 2, 23, 800759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-52))\/((-18)\/(-4)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i**2 - 3*i. Let k(p) = -p - p**2 + 0*p**2 + 0*p. Suppose -55*c = 6899 - 7064. Give c*k(a) - v(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(30)\/sqrt(6) - (2 + (sqrt(5) + -1 - sqrt(5)))**2.\nAnswer: -sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 3*x - 8. Suppose -5*b - 2*l = -9*b + 116, 3*b - 2*l - 89 = 0. Let j = b - 18. Is t(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 4*r + 5 + 8)*(-3*r + r + r)*(-37*r + 6*r - 98*r).\nAnswer: 258*r**3 + 1677*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 1\/30*t**6 + 0*t**3 + 0*t**4 - t**2 + 0 + 3*t + 0*t**5. What is the first derivative of w(y) wrt y?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014 take away -1.5?\nAnswer: 1.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 425 = 163. Suppose 4*s - u = -3*s. What is the greatest common divisor of s and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 141312?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3373973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 8*u**2 - 11*u + 12. Suppose 24 = -5*h - 46. Let m = h + 23. Let s be f(m). Is -5 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38237 is divided by 425.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55263 is divided by 343?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 217527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3 + 6*q**5 - 3*q**5 + 3*q**4 + 0*q**5 + 2*q**5 - 3*q**5 + (0*q + 8*q - 24*q)*(-4*q**2 + 4*q**2 + q**4).\nAnswer: -14*q**5 + 3*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*5.4.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i + 13*i - 4278 = -63*i for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -24716917, 3 in ascending order.\nAnswer: -24716917, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 81 = 5*x - 14, -5*x = 5. Let a = g - 24. Find the third derivative of t**4 - t**4 - 4*t**4 - a*t**2 wrt t.\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/11, -2, -4, 30740?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 4*k - 22. Let b be u(-3). Let j be 8*b\/(-3 + -1). Sort j, -0.3, -6.\nAnswer: -6, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*j**3 + 50046*j**2 - j - 6238621 wrt j?\nAnswer: 36*j**2 + 100092*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -413 and -408 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(110)\/(sqrt(55)\/sqrt(5)))\/(sqrt(1536)\/sqrt(12)).\nAnswer: -5*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 85.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 8 = i. Let z(u) = 5*u - 4*u + 5*u - i*u. Let m(l) = -l**2 + 2. Let n(j) = 5*j**2 - 9. Let r(y) = 9*m(y) + 2*n(y). What is r(z(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 405\/(-1701)*(-54)\/10?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 9:36 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0.07 (c) -15 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 641, 1004, 1367?\nAnswer: 1730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(3\/26)*l)**(1\/29) assuming l is positive.\nAnswer: l**(49\/754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 4 (b) 21.8 (c) 0 (d) 2 (e) 3 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 25 = -113. 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: Let i = 1334\/9 - 6679\/45. Let p = 1 - 0.7. Which is the biggest value? (a) i (b) p (c) -4 (d) -2\/57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3503709.1 to the nearest one hundred thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*(sqrt(363) - (3 + (sqrt(363) + -1 - sqrt(363)) - sqrt(363))) + -3)**2 + -5 + 4 + 1.\nAnswer: -30888*sqrt(3) + 471969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 12:35 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w - 7 = 37*w - 2*c, -5*c = 2*w - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 - 124 - (0 - 2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 9:52 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - 5\/((-5)\/(-3)). Let o(k) = 10*k**3 - k**2 + k - 1. Determine o(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 - 51. Differentiate -29*y + p + 17 - 35*y - 13*y - 51*y wrt y.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 3*g + 15. What is m(-7)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 - 13*m**2 - 11*m**2)*(2*m**2 - 3*m**2 + 0*m**2) + (0*m + m + 0*m)*(3*m**3 + 2*m**3 - 4*m**3).\nAnswer: 30*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - 17*h - 19. Let s(p) = -p**2 - 8*p - 9. Let b(w) = -4*r(w) + 7*s(w). Give b(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4094572*o - 20472855. Determine w(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (3 + 2 - (7 - 1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w = -7*w - 85 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-14)\/((k*k*k**34)\/k) assuming k is positive.\nAnswer: k**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1143 = -4*g, -3*b = -b + 6. What is the remainder when g is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3\/20, -3204\/55.\nAnswer: -3204\/55, 3\/20, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1828?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12 times 9.589\nAnswer: -115.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 9*d - 18. Let z be s(-4). Let q be (-13)\/(-2) - 1\/2. Let y(k) = q*k**3 + 2 + k - z. Give y(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321483947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/((-19)\/(-38))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*u = 528755 - 524291 for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 802536341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w**3 + 17*w**3 - 9*w**3)*(-1 + 3 + 4*w - 2*w) to the form b*w + o*w**3 + v*w**2 + s*w**4 + h and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -p - 13, -4*p + h + 5 = 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzdxgdgbgnznggd. What is prob of picking 2 z, 1 g, and 1 n?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*12*(-45)\/(-60).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huuvugugviushvhvvuhh. What is prob of sequence hi?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 233 - 229. Let x be -4*2\/a - 1. Let f = -4 - -8. Put x, 6, f in ascending order.\nAnswer: x, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -26. Calculate the smallest common multiple of (-6)\/(-2)*(-3)\/m and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79333 - 17060. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Let a = -86 - -41. Let t be 15*a*(x + -42). What is t rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -388 + 386. Let w(t) = 123*t**3 - 134*t**2. Let y(f) = f**3 + f**2. Let r(z) = p*y(z) - w(z). Find the third derivative of r(h) wrt h.\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from twwwtwwt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + c - 9 = 0, 6*c = -5*k + 4*c + 21. Suppose 0 = k*f - 6 - 0. Let b be f*(1 + 3\/6). Solve 3*v = j - 1 - 12, 3*v + b*j = -21 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167975 + -55225. What is l rounded to the nearest one thousand?\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - -4*(sqrt(612)*-2 - sqrt(612)))*-5)**2.\nAnswer: 1851300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z + 30. Let u(o) be the second derivative of -o**3\/6 + 3*o + 13. Determine a(u(n)).\nAnswer: 5*n + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1024 from 1.9851.\nAnswer: 1025.9851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 8*m - 2. Let s(i) = 4*i - 7. Let o be s(3). Let h be y(o). Suppose 15*t - 80000 = h*t. Round t to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 5*i + i**3)*(-422*i**2 + 14*i**2 - 112*i**2).\nAnswer: -520*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -25. Suppose 0 = 4*d + 3*h - s*h - 7, 0 = 2*d - 2*h - 4. Solve -3*r = -0 - d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3033*d**3 - 516*d**2.\nAnswer: 3*d**2*(1011*d - 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 2*s - 410*s**2 + 513*s**2.\nAnswer: 103*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 72\/25 + 8\/25*b**2 + 0*b**4 + 114\/25*b + 2\/25*b**5 - 36\/25*b**3 = 0. What is b?\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2780656 by -20446.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -114*f - 31. Let p be s(-3). Suppose 417 = 14*i - p. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (1 - (-108)\/(-57)). Let u(i) = i**3 - 12*i**2 - 29*i + 13. Let l be u(14). Put k, l, 0.5 in ascending order.\nAnswer: l, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -66655833 + -1?\nAnswer: -66655834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 - 149.999999616. What is h rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -588a2?\nAnswer: 588a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -307.\nAnswer: -9\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 101447960.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttmsjmjmmjjusummpjs. Give prob of sequence tm.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-20) - 4\/(-2). Is 3 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000349264877 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24859519 and 0.035.\nAnswer: 870083.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + (sqrt(612) - (2*sqrt(612)*-1 - sqrt(612)))**2 + 2 + -1.\nAnswer: 9798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/352 and -97\/76.\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 258180145*f*i**2*n**3 - f*i**2*n - 2*f*i**2 - 2*f*i*n**2 + f*n**3 - 21*f*n + 13*i**2*n**2 - 188*i wrt n?\nAnswer: 1549080870*f*i**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 2.1. Let j = 7 + -8. Let g = j - k. Sort 1\/3, 5, g in descending order.\nAnswer: 5, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*h = -38, -h + 4*h = c + 12. Let y = c - -12. Suppose 3*j - 3 = -0*j. Calculate the highest common factor of y and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 1 + 23. Calculate the lowest common multiple of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123*0.62.\nAnswer: 76.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u**2 - 4*u - 2. Let z(p) = -3*p**2 + 2*p + 1. Let m(h) = -2*g(h) - 5*z(h). Let k be m(6). Suppose -5*v = -12 - k. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62*m**3 + 62*m**3 + 9 + 7*m**4 + m**2 - m**2 + 2*m**4 + m**4 + 0*m**4 + 0*m**4 + (2*m**3 + 2*m**3 - 6*m**3)*(-4*m + 0*m + 3*m) - m**4 + m**4 - m**4.\nAnswer: 11*m**4 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185390 + -110546. What are the prime factors of u?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*j + 14 = -587*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 18 + 9. Let l be r\/(-9) + (-1 - -2)*-2. Solve -2*s - l = 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1078 and 56?\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 60897*f - 68. Calculate r(0).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 516 and 516 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*a + 724 = -1541 + 675. Calculate the smallest common multiple of a and 162.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 1247.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 14*o - 4. Let j be p(5). Let u = -39 - j. Calculate the remainder when ((-17)\/(-2))\/((-3)\/(-6)) is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 11:33 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/7)*a)\/a*a**(-2\/17))\/((((a\/(a*a*a*a**(-18\/7)))\/a)\/a)\/(((a*a*a*a**(-19)*a)\/a)\/a)) assuming a is positive.\nAnswer: a**(-1884\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*44\/(-66))\/(((-2)\/(-8))\/((-189)\/56))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7 - (-168)\/(-245). What is the third biggest value in h, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/6960 and -1\/465.\nAnswer: 215760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x + 8. Let b(f) = -f + f**x + f - 4. Let i be b(8). What is the highest common factor of 24 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 - 641712*n - 257371431840.\nAnswer: -2*(n + 802140)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3549*r + 10652. Determine o(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 579915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-571 + 553 + (-10 - 1)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y = -342, 53049*y - 53053*y - 71 = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299, -1835, -8837, -23137, -47165, -83351?\nAnswer: -134125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - q**4)*(2*q - 2*q - 2*q)*(-11 + 9 + 16).\nAnswer: 28*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 11*k + 3. Let o(d) = -20*d - 7. Let g(t) = 378*t + 133. Let h(i) = -4*g(i) - 77*o(i). Let p(v) = 5*a(v) - 2*h(v). Calculate p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 + 111.5. Let h = -0.672 + -0.36. Let x = h - -0.032. What is the nearest to x in -0.4, -6\/5, t?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-3))\/x)**(2\/63)\/(((x*x**(-1\/6)*x)\/x)\/((x**(4\/3)\/x)\/x)) assuming x is positive.\nAnswer: x**(-59\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1091, -4883, -11203, -20057, -31451, -45391, -61883?\n\"Answer: -o**3 - 1258*o**2 - 11*o + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -42*y**2 - y. Let f be (3\/(-2))\/((-9)\/(-6)). Let w be z(f). Let h = 78 + w. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 113\/3 + (-2)\/3. Let w(d) = -d**2 + 2*d + 101. Let m be w(-9). Find the second derivative of 10*k**m - 37 - 2*k + s wrt k.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430199 is divided by 214995?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 665544833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*q**3 + 173*q**3 + 5*q**3.\nAnswer: 38*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/9*(-18)\/(-15).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 84.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006325 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 457880.1729 and -215.\nAnswer: 457665.1729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 276 and 59539548?\nAnswer: 59539548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11615, -46336, -104155, -185030, -288919, -415780, -565571?\n\"Answer: 7*x**3 - 11591*x**2 + 3*x - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6072a - -1?\nAnswer: 60730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-76)\/6)\/(11\/(-33))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5))**(-8\/3) assuming j is positive.\nAnswer: j**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**4\/4 + 10*p**3\/3 - 7*p**2 + 38*p + 6483. What is s(8)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(390)\/sqrt(90))\/sqrt(3) + 0.\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 3:12 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -36\/7*g + 16\/7 - 4\/7*g**3 + 24\/7*g**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from dyvyjvyyjllv.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370601124 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 - 40*q**2 + q + 18. Let c be k(-20). Let a be ((-5)\/c)\/(4\/8). Solve -b - a*i + 28 = 0, 0 = -2*b + 2*i - 0 - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f = 26423 + 26017. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, e: 3, n: 1}. What is prob of picking 3 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/((-64)\/(-4)))\/(((-378)\/384)\/(-63))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 50. Suppose -f*z - 2*t = -0*t - 101, -28 = -z - 3*t. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khk when three letters picked without replacement from hkkhkkkhhkkhk.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*a**2 - 7*a**2 + a**3 - 1 - 12*a**2 - 12*a**2 - a**2 as f*a**3 + x*a + z + v*a**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-5))\/((-2)\/10). Suppose 8 = -c*k + 26. Let t(b) = -4*b + 16. Let x be t(4). Put x, -4, k in descending order.\nAnswer: k, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -101*c + 109*c. Put -1, c, 10 in descending order.\nAnswer: 10, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) -2 (b) -0.5 (c) 78\/7 (d) -26 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 5 + 8 + 26*h**2 in the form m + p*h + w*h**2 and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5592.068ml in litres?\nAnswer: 5.592068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-21)*s*s*s**17*s)**5)**18 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -7 + -2 + -7 + -4 + -63 + 6.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 912*q = -725*q + 22918 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 527345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*3160\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.691685, -5, -0.1, -1\/5 in descending order.\nAnswer: 0.691685, 0.3, -0.1, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 6*z = -5*o - 35, 0 = -4*z - o + 15. Solve -z*m = -3*w + 19, 0*w = w + 3*m + 17 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15\/7*s + 3\/7*s**3 + 12\/7*s**2 + 6\/7 = 0. Calculate s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-312)\/(-3042)*(6\/(-4))\/(-1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 6*k**5\/5 - 198*k**4\/5 + 2322*k**3\/5 - 11154*k**2\/5 + 17424*k\/5 = 0.\nAnswer: 0, 3, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 7. Let d be l(3). Suppose 0 = v + 2*g - 21, -6 + 55 = 5*v - d*g. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let m = 2.38186 - 2.58186. Which is the nearest to 7? (a) m (b) 0.2 (c) 5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12188238?\nAnswer: 2, 3, 67, 30319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*n = -5*n + 1, 0 = -4*t - n + 17. Suppose -t*d + 18 = 2*p, -2*d + 3*p = -5*d + 18. Suppose 20 = 5*j, -d*j + 4*j + 38 = 2*y. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36670?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 7:40 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -0.5, -267, -2\/7, -0.075, 0.16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-15)*3*3\/36.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1547 + -371279\/240. Let u(o) be the third derivative of -o**2 + 0*o**3 + 1\/96*o**4 - w*o**5 + 0 + 0*o. What is s in u(s) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000019116 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 13*q**2 + 5*q + 5. Let i(d) = -13*d**2 - 6*d - 6. Determine 5*i(y) + 6*v(y).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10013866 (base 9) to base 3\nAnswer: 100000110222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*p - 7 = -0*q, -4*q + 12 = -2*p. Suppose 0*s = q*s - 10. Which is the nearest to -0.1? (a) -0.3 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222 and 999.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9255081*v**2 + 16*v + 51308.\nAnswer: 18510162","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 12841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-8) + (-3)\/(-6). What is the nearest to u in 0.5, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6 = 3*t. Suppose -90 = 2*y - 8*y. What is the greatest common divisor of y and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 7. Let o be x(7). Suppose -3*r + 25 = d, d - 3*r = -o*d - 5. Find the common denominator of 149\/12 and ((-9)\/(-30))\/(24\/d).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -2.5?\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.4, -400, 0.15.\nAnswer: -400, -11.4, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 62\/17, 3, 10, 0.5, -0.1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206 (base 15) to base 6.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5}. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 242226 + -242226.145473. Let a = q - -0.1461. What is a rounded to 5 dps?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/4 and 6 - ((-27)\/(-6))\/((-384)\/(-664))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -3, -132 in descending order.\nAnswer: 3, 1, -3, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3. Let v be l(1). Suppose v*k - 25 = -5*w - 3*k, -2*w = -2*k + 6. What is the greatest common divisor of 8 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7821 + -3472. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 + 3*v**2 - 3*v - 2. Let x(t) = t**3 - t**2 + t + 1. Let u be (-4)\/(-12)*(-9)\/(-1). What is u*x(r) + a(r)?\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**3 + 3*q**2 + 0*q**3 + 2*q**3 to h + t*q + d*q**3 + y*q**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.14 - -1.018. Let s = h + 0.1311. What is s rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11956\/98)\/((-5)\/20*(-124)\/31)?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4 + sqrt(68)\/sqrt(4))**2 - (sqrt(1088) + 0 - sqrt(1088))).\nAnswer: -66 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21924, -22000, -22062, -22104, -22120?\n\"Answer: r**3 + r**2 - 86*r - 21840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**8\/12 + 76*h**7\/105 + 13*h**6\/10 - 12*h**5\/5 - 572*h**2. Factor g(k).\nAnswer: 4*k**2*(k + 3)**2*(7*k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 5, -0.2, -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 110*x**3 - x**2. Let t(r) = 1092*r**3 - 9*r**2. Determine 21*s(h) - 2*t(h).\nAnswer: 126*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 18*n - 150 + 428, 5*w - 33 - 55 = 5*n + 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9833 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 + 914*a + 672*a - 2 + 674*a.\nAnswer: 2260*a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/31 - -40\/279. What is the nearest to 0.1 in -4, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/60 - d**4\/12 - 6*d**2. Let l(k) = 2*k**2 + 6*k - 5. Let h be l(-5). Let i be (h\/2)\/(-5)*-2. Calculate v(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -25\/168*s**4 - 4 - 1\/2520*s**6 + 0*s + 0*s**2 + s**3 - 1\/84*s**5. Let q(p) be the third derivative of t(p). Factor q(j).\nAnswer: -(j + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/11*f**2 - 8\/11 + 8\/11*f = 0. What is f?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 1. Let x(a) = 2*a**2 - 11. Let f(j) = 2*x(j) - 22*y(j). Let o(b) = b**2. Calculate o(f(p)).\nAnswer: 676*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -151, -153, -155, -157?\n\"Answer: -2*b - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.707 and -99189?\nAnswer: 99189.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frrnffvvgvvv. What is prob of picking 2 r and 1 f?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 5*m**2 - 6*m - 5. Determine k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) -3\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 10 = -14*n. Suppose -v = -23 - n. Let q = v + -24. Which is the second smallest value? (a) q (b) 0.2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396\/19 at least as big as 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52.7 - -569.3. Let p = y - 626. What is the biggest value in p, -69, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3849 - -3927.85. Round y to zero dps.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*9\/(-12) + (-90)\/24?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*o**6 - o**4 + 22*o**3 - 88*o**2 - 3*o - 6.\nAnswer: -5880*o**3 - 24*o + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyyy when four letters picked without replacement from yyyyhyyyyhyyhyyyyyh.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -4, 1.3, -0.2, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Suppose -8 = -o*x - 2*j - 0*j, 0 = 3*x + 2*j - 17. Let d = 2 + x. Calculate the greatest common factor of d and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 81?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 2:02 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (294 - 152 - 84)*((-4*n + n + n)*(-3*n**3 - 5*n**3 + 5*n**3) + (2*n**3 - 1 + 1)*(-4*n - 3*n + 5*n)) to p + x*n**4 + m*n**2 + f*n**3 + l*n and give x.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h + 0 - 2*h**2 - 4*h**3 + 7*h**3 - 4 - 2 in the form b*h**2 + p + s*h**3 + i*h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -163999*b**3 - 476*b**2 + 238*b + 119. Let k(p) = -4100*p**3 - 12*p**2 + 6*p + 3. Calculate 119*k(z) - 3*m(z).\nAnswer: 4097*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*h - 23794 + 23803 = 0, 3*k = 5*h - 23 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14488361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2 - 243*l - 756 = 0. What is l?\nAnswer: -3, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 9 = u. Let q be 4 + 3 + u - -2. Let o = -9 + 6. Which is the nearest to o? (a) 0 (b) -0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.222, 0.2, 4, 4\/5, 5\/8.\nAnswer: -0.222, 0.2, 5\/8, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/32570895 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 4*s - 4 + 4*s**2 - 2*s**2. Suppose -w + 45 = 2*w. Suppose -2*b = -7*b + w. What is f(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*l - 165, t - l = -5*l - 55. Let a = -69 - t. Let j(u) = 2*u**2 + 26*u + 7. What are the prime factors of j(a)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-16) + 105\/56. Suppose 0 = -5*q + 5, 5*q = -p*h - 2*h + 37. Let j be 0 - h\/(2 - 4). Solve -4*d - l + j = -4, -d - 3*l = 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**3 + 2*a**2 - a - 1. Let m be g(1). Let k be (12\/9)\/(2\/m - -4). Factor -k*n**4 - 44\/5*n**2 - 16\/5*n**3 - 48\/5*n - 18\/5.\nAnswer: -2*(n + 1)**2*(n + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*n - 29684*n**2 + 549*n - 275*n.\nAnswer: -29684*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(850)*1)\/(1*(sqrt(4)\/sqrt(2) + sqrt(2))))**2.\nAnswer: 425\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -8. Let a = -113 - -215. Let f = -3 + a. Calculate the remainder when f is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -10*s + 2. Let x(y) = y. Determine r(z) - 2*x(z).\nAnswer: -12*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1348 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 + 24*h - 160 = 0. What is h?\nAnswer: -10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-96)\/80)\/(3\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 3742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*j**2 + 721*j - 44*j**2 + 26*j**2 - 98*j as d*j + t*j**2 + y and give d.\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -55*d + 140*d + 0 - 3 - 1. Is 5 a factor of c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -493 + 816. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) - (-46)\/3. Let u(g) = 4*g**2 + 3*g + 3. Let a be u(-2). Let p = a - 9. Solve p*z - v = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**2\/2 + 10*w + 41. What is b(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/759 and -109\/414.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) -0.001 (c) -2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, 5\/3, -112, -2\/13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5617689 is divided by 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.517953, -5\/4, 2\/13 in ascending order.\nAnswer: -5\/4, -0.517953, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 222, 282, 448, 774, 1314, 2122, 3252?\n\"Answer: 9*f**3 - f**2 + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.3 (b) -4\/3 (c) -10 (d) -1588 (e) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 - 4*s**2 + (0*s - 2*s - 2 + 7)*(-s - s - 5*s) to the form u*s + y*s**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0213 + -164.8213. Let p = 165 + q. Which is the nearest to 0? (a) 0.4 (b) p (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134 + -145. Sort -2\/11, -2, -0.2, f in ascending order.\nAnswer: f, -2, -0.2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325 (base 8) in base 2?\nAnswer: 1011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**3 + 8*u**3 - 29*u**3 + 11*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1061*k + 8292*k = -4753*k - 527296 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -54*o + 58*o, 4 = 2*o + 2*u. Let g(i) = i**2 + 6*i - 13. Let q(j) = -j + 1. Determine o*g(a) + 6*q(a).\nAnswer: a**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 46, 57, 82, 127, 198, 301, 442?\n\"Answer: c**3 + c**2 + c + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**8\/560 - g**6\/120 + g**3\/6 + g. Let d(y) be the second derivative of p(y). What is the third derivative of d(j) wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116247483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (120\/16 + -6)\/(14\/4). Which is the second smallest value? (a) 0 (b) u (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/33 + (-19)\/(-44). Is 1 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -121, 0.1, 5, 215, 0.5?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22480242, -22480243, -22480244?\nAnswer: -22480245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2592086 and 9.\nAnswer: 23328774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n + 4. Let y(q) = -2*q - 1. Let i(u) = -f(u) - 4*y(u). Let v(t) = -16*t + 2. Determine v(i(o)).\nAnswer: -48*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 7 + 7. Let s = v + 10. Let g(p) = p - 1. Let q(h) = -h + 3. What is s*g(d) - 2*q(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431796*b + 104668*b - 242903*b.\nAnswer: -570031*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 90*r**3 - 3*r**2 - 43*r - 184. Let w be s(-12). Round w to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (70 + -16)\/((-231)\/14 - -13)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7. Let g = -298\/7 + 43. Put g, 2\/5, z in increasing order.\nAnswer: z, 2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 3*s = 6, -27*d = -25*d - 5*s + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 7:45 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 34. Calculate the highest common factor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4 - 5968*f**3 - 13356384*f**2 - 13285149952*f - 4955360932096 = 0. Calculate f.\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57368197?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 13 = -s + 21, -2*s + 12 = -2*q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-60)\/64 + 3 + -7. Which is smaller: 38.5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1393018 is divided by 1393010.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3419.2+0.14\nAnswer: -3419.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -925.2 - -941.2. What is the third biggest value in -1\/3, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 10*t**3 - t**2 - 2*t - 3. Give f(2).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-1) - -1)\/2. Suppose s = -5*q + 217 + 23. Does 24 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238485.\nAnswer: 5, 247697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen sevenths of a week in days?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 3)\/(120\/180). Sort t, 25, -5, 2 in descending order.\nAnswer: 25, t, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdkr when four letters picked without replacement from qrkkkkdjrdqjkkdrjk.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*x = 112 - 3794, 3*a - 4*x = 2746. Calculate the greatest common divisor of 90 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -77 + 62522?\nAnswer: 62445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:32 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.897096 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 3*v + 1. Let b be f(0). Let u be 3\/6*34*b. Solve -s - u = -3*d, -5*d - 3*s + 2*s = -23 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23588942 to the power of 1\/2, to the nearest integer?\nAnswer: 4857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1152) + sqrt(18))\/sqrt(6) + (6*(sqrt(3) + 5*sqrt(3) + sqrt(3)))**2 + (sqrt(162) - sqrt(162)*-1)\/(sqrt(12)\/sqrt(2)*4)).\nAnswer: -5292 - 21*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 3*j - 202 + 191, -u + 4*j = -16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 2\/15365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 274*j - 280*j + 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 407501131 and 9?\nAnswer: 407501122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9193 and 6023?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 2*j**2 + j + 10. What is the remainder when 227 is divided by b(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -828, -831, -834, -837?\n\"Answer: -3*c - 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83741, 83967, 84193, 84419, 84645?\nAnswer: 84871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/12558 and 12\/52325.\nAnswer: 313950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.6385 + -177414.2.\nAnswer: -177404.5615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 - 22. Let u = 29.9430188 - -0.0563312. Let w = r - u. Round w to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - z - 1)*(1 + 0 + 0)*(3 + 1 - 3).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 70*i + 4*i**2 - i**3 - 4*i**2 - 69*i. Calculate d(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 0*n + 22*n - 8*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(2448))*1 + 2 + (sqrt(2448) - (sqrt(2448) - (1 + sqrt(2448))))**2 + 2 + 2.\nAnswer: 36*sqrt(17) + 2458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjyjjjyyyjjjjj. Give prob of picking 3 j.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k - 293. Let z(v) = -17344*v. Determine j(z(t)).\nAnswer: 69376*t - 293","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3\/20 (b) -11 (c) -3 (d) 3 (e) -12.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 12:09 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**18*i**(-4\/15) assuming i is positive.\nAnswer: i**(281\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2 + 9 + -3 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-219)\/30 + 3 + 1 and 31\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3*j, 2*j = 6*j - 12. Let h = 9171.9 - 9171.9. What is the nearest to r in -3, -0.1, h, -2\/57?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 18*v**2 + 14*v - 24. Let u be q(-19). Find t, given that 49*t**3 - u*t**5 + 76*t**5 - 10*t**2 - 15*t**2 - 35*t**4 + 6*t**3 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 67557297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3263156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/99)\/((-6)\/9)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 24 = -4*g. Suppose 0 = 2*q + 3*q - 3*l - 6, g = -q - 4*l. Suppose 3*h + 0*h - 12 = q. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-3)\/(-18) - 1\/1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 219*w**2 - 7*w - 1. Let i be z(1). Suppose 4*x = 5*s - 1427, 2*x + i = s - 78. What are the prime factors of s?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-42)*7 + (-32)\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3223 (base 4) to base 12\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2973, -12104, -27297, -48534, -75797?\nAnswer: -109068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 10) to base 12.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46\/7 or -26.8?\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 170*c - 6. What is the hundreds digit of g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51.8 - 51.8622. What is d rounded to 3 dps?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27b0 (base 13) to base 12\nAnswer: -3388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6000205 + -0.6. Round t to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -623, -2085, -4947, -9677, -16743, -26613, -39755?\nAnswer: -56637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 276041599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - d - 3. Let n be g(3). Let y = 4 - n. Let s(h) = h**3 + 5*h**2 + 5*h + 3. Let t be s(-4). Put -4, y, t in descending order.\nAnswer: y, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*m - 817 = 0, -4*c - 3*m = -m - 838. Suppose 2*i - 4 = 0, 4*i + c = 2*g - i. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x**2 - 3*x + 3*x. Let y(m) = 35*m**2 - 340*m + 40. Let l(k) = -5*k**2 + 51*k - 6. Let v(d) = -20*l(d) - 3*y(d). What is j(v(r))?\nAnswer: -175*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 0 - 3\/4*p**4 + 0*p**3 + 32*p + 0*p**2. Let n(g) = 3*g**2. What is c(n(v))?\nAnswer: -81*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -6*i - 292. Suppose -i + 61 = -3*l. Solve 3 - 19 = l*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (96\/(-28))\/((-6)\/21). Differentiate -19*a**3 + g + 10*a**3 + 5*a**3 wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 10*j - 175. Give t(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54174*o**4*v - 41*o*v - 46939931*v wrt o.\nAnswer: -216696*o**3*v - 41*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(3\/5))\/g*g**7)\/((g**35\/g)\/g*g*g**(-23)) assuming g is positive.\nAnswer: g**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -291*l - 1047. Is 91 a factor of r(-74)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20566521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 4*a**2 - a**2 - a + (-a - 2*a + 0*a)*(-5*a + a + a).\nAnswer: 12*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -13*q - 493. Give p(-36).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 588 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4781335356 to the nearest integer?\nAnswer: 1685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 4*d**2 - 4*d + 9. Give i(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -50601, -202410, -455423, -809640?\n\"Answer: -50602*b**2 - 3*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 6:08 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*i - 98*i + 46*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (56\/(-35))\/(6\/(-15)). Let s be (-102)\/(-4) + (-1 - a\/(-8)). Solve 0*y = -5*y + s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 0*k - 3 + 4*k)*(-835*k + 428*k - 2860*k) - 4*k**2 + 0*k**2 + 2*k**2 as n*k**2 + q + o*k and give n.\nAnswer: -3269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9317.922 millimeters?\nAnswer: 9317922000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, b: 4, n: 9, g: 2}. Give prob of sequence iii.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 = 142. Let p = 6 - 12. Let x = p + d. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5*x = -19, m + 5*x - 26 = -3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00348923 to 4 dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from ffcpcpwcfpwwccpfcpc.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, e: 1, f: 2, r: 3, z: 10, n: 2}. What is prob of sequence rnzr?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -26*h - 28. Let z be -11*130\/(-110) - 16. Give m(z).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 612*r**6 - 40*r**5 + 3*r**3 + 2*r**2 - 26*r + 3125 wrt r?\nAnswer: 73440*r**3 - 2400*r**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -2*d + 21. Suppose 0*o + 3*o = -4*i - 85, -4*i - 75 = 5*o. Let b = i - d. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**4\/12 - 4*u**3\/3 - 6*u**2 + 11*u. Let s be p(-5). Calculate the greatest common divisor of 18 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-8))**(-2\/117))**27 assuming m is positive.\nAnswer: m**(48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y - 37. Let g be j(8). Suppose -4*p + 3*p - 5*l + 27 = 0, -g*p = -2*l + 4. Find the common denominator of -19\/42 and -6 + 179\/12 + -5 + p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 3 + 1*2\/(-6). Which is bigger: o or -2120?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 201, 202, 203, 204?\n\"Answer: u + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 12:12 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 - a**3 - 152139*a + 152139*a - 4 - 2*a**2 + (2*a**2 + a - a)*(-3*a - 2*a**2 + 3*a).\nAnswer: -7*a**4 - a**3 - 2*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r**3)\/(r\/(r**(-1\/3)\/r)*r)**(-45) assuming r is positive.\nAnswer: r**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003122789 rounded to four dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(275)*4.\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -54. Sort l, 2, 3\/4 in decreasing order.\nAnswer: l, 2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, 226, -256 in decreasing order.\nAnswer: 226, 143, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 556963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 437, 1465, 3465, 6761, 11677?\nAnswer: 18537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1880, 3804, 5724, 7634, 9528, 11400, 13244?\n\"Answer: -v**3 + 4*v**2 + 1919*v - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1980, 20, -194 in decreasing order.\nAnswer: 1980, 20, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 195516 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67575 and 5406.\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 25857.66, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/5)\/(w**7\/w)*w**3\/(w*w**6)*(w**(-1)\/(w\/(w\/(w*w*w**8*w*w)*w)*w*w))**(-47) assuming w is positive.\nAnswer: w**(3242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 760, -3, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3175\/13? (a) -3 (b) -0.4 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39265.3*4.9.\nAnswer: -192399.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 12:12 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223328793 divided by -2.\nAnswer: 223328793\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19 - 20 - 24 + 75 - 3*o**2.\nAnswer: -3*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 + 15*b**2 - 76*b + 266. Calculate s(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15f - 3c?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 75 - 105 = 2*t, 2*h - 5 = -t. Sort -298, 0, h in decreasing order.\nAnswer: h, 0, -298","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1556 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l + 14. Let h(y) = -9*y + 13. What is -5*h(s) + 4*z(s)?\nAnswer: 17*s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(12\/7)*b**(-3\/13) assuming b is positive.\nAnswer: b**(135\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-11 - (-14 + -1 + -12))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 2*p**3 - 2*p**3 + (p**3 - 5*p**3 + 2*p**3)*(-66 + 70 - 87))*(-29*p - 15*p + 7*p + (-3 - 1 + 6)*(-p - 2 + 2) - p - 2*p + 2*p - p + p + p).\nAnswer: -6552*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*l - 135*l + 2 - 59*l.\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**3 - 6*v**3 + 6*v**3)*(9*v - 3*v + 2*v).\nAnswer: -48*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**3 + 9*y**2 + 5*y + 1. Let l be 2\/1 + (8 - 9). Let b be (l\/(1*2\/(-14)))\/1. Let u(n) = 4*n**3 - 13*n**2 - 7*n - 1. What is b*t(f) - 5*u(f)?\nAnswer: f**3 + 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165.8 + 2.2. Let o = z - 106. Is 0.2 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(110)\/sqrt(2))\/(sqrt(500) - (sqrt(500) + -2*sqrt(500))) + 6*1*((sqrt(99)*1 + sqrt(99))\/sqrt(9) - sqrt(11)))*-6.\nAnswer: -369*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d\/d**(-2\/7))**(-25)*(d\/((d\/d**(-1\/3))\/d)*d**(-1))\/((d**(2\/5)\/d)\/d)**(-1\/12) assuming d is positive.\nAnswer: d**(1826\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -58, -57, -54, -49, -42?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(27) + sqrt(27)*-2 + 4))**2 - ((sqrt(300) - (0 + sqrt(300))) + (sqrt(243) + 1 - sqrt(3))).\nAnswer: -392*sqrt(3) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*v - 21 + 15*v + 7*v - 63 + 27*v.\nAnswer: v - 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 435, 879, 1333, 1797, 2271, 2755?\n\"Answer: 5*m**2 + 429*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 102107, 102031, 101893, 101693, 101431, 101107?\n\"Answer: -31*i**2 + 17*i + 102121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166792*p**2 - 4*p**4 + 0*p**3 - 177 - 333577*p**2 - 2*p + 166784*p**2 + p**3 to s + y*p**2 + c*p**3 + i*p + j*p**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -343, -342, -341, -340, -339, -338?\n\"Answer: v - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**5\/2 - 27*u**4\/2 + 39*u**3 - 36*u**2 = 0. What is u?\nAnswer: 0, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4519*g + 21. Let w be o(-2). Let d = -3556 - w. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 4:42 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.4 (b) 2 (c) 1.616\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 2734.\nAnswer: 2734.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pklkkppplppkpplp. What is prob of picking 1 p and 2 k?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 4) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0 - (-4 + 50 + (3 + 9 - 3))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2 - 2 + (-36 + 56 - 41)*(0*c + c + c))*(-2 + 4 + 4).\nAnswer: -246*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 2*o - 5. Let g be j(0). Let r be g + -2*(-9)\/(-6). What is the tens digit of ((-6)\/r)\/(4\/96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + (27\/(13770\/(-5491)) - 5*2\/(-6)). Let p = -7 + 2. Which is the nearest to -1? (a) d (b) p (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 375 - 1101 = 0. Let j = c + -45. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124332122 (base 5) to base 11.\nAnswer: -394556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + (sqrt(108) - (4*sqrt(108)*2 + sqrt(108))))**2.\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*k = 56, y - 2*k + 23 = k. Let c be y\/(-16) - 3\/(-4). Calculate the common denominator of 79\/14 and 1\/c*122\/(-12).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjkkjkjjjkjjk. Give prob of picking 1 j and 3 k.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 28 = -8*u, -2088 + 2037 = -51*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 156. What are the prime factors of t?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 7:22 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a decade in months?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 477356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 11*d**2 + d + 12. Let z be t(-11). Suppose -s + z = -3*v, 0 + 5 = -s. What is the biggest value in 3, v, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24330447.69 rounded to the nearest 10000?\nAnswer: -24330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -84 in -1\/6, 2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -6 + 24 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4103133120 - 2?\nAnswer: 4103133113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 9, 6, 3, 0, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, i: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/5)*f**(1\/15)\/f)**(-11\/4))**(-37\/2) assuming f is positive.\nAnswer: f**(-9361\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29\/3 - 10. Let o = -0.13 - 1.87. What is the nearest to g in 1\/8, 1, o?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2900563\/26961000 + -2\/78375. Find the common denominator of y and -21\/29.\nAnswer: 9976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 2*n**2 + 2*n + 5. Let a be j(3). Let m = 16 - a. Solve -4*i = -d - 20, 3*d - 3 - m = -i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 9*b + 14. Let j be m(-10). What is the tens digit of 12\/(-48) - (-65)\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zddx when four letters picked without replacement from dtdwtdtxddxzxtm?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -19*r**2 + 3*r**2 + 6*r**2 + 11*r**2. Let s(v) = -2*v**2. What is i(s(g))?\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*z - 305 = 0, y = 2*y + 3*z - 155. Let u be (-42)\/(-4)*y\/15. Let 0*x**3 + 53*x**2 - 104*x**2 + 21*x**2 - u - 126*x - 2*x**3 = 0. Calculate x.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 475 + -150. Let i = j - -170. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 22 = -294. Let k = 3271 + -32669\/10. Calculate the common denominator of k and g\/16 - (-2 - -3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -210 + 210.33. Let c = 3.33 - t. What is the smallest value in c, -1\/5, 1, -2\/13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -243, 4, 42, -9, 1?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/d**(1\/5))))\/(d\/(d*d**(-7\/4))))**(8\/13) assuming d is positive.\nAnswer: d**(-38\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k**2 - 2*k**2 - 2*k**2)*(-2*k + 3*k - 2*k)*(411*k + 44*k + 285*k) to n*k**2 + d*k**4 + j + q*k + w*k**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41498943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 25945.2836 to the nearest 10.\nAnswer: 25950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/161)\/(6\/(-84)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -14. Suppose x = 2*q - 0*q - 10. Suppose q*i - 69 - 1 = 0. What is the greatest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9930 divided by 6\nAnswer: -1655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 177017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72773.04 kilometers to nanometers.\nAnswer: 72773040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22443 (base 5) to base 2.\nAnswer: 11001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 791440\nAnswer: 1\/197860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**4\/4 - 3*h**3 - 7*h**2\/2 + 11*h + 56. Let p be l(-8). Solve 5 = p*i + 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (-1 + sqrt(242))**2)*-6.\nAnswer: -1458 + 126*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**2*v + 4*r**2 - 37*r - v + 28 with respect to r.\nAnswer: -2*r*v + 8*r - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1281 - 1206. What is the highest common factor of w and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 14 = -l. Let t = l + 13. Solve -8 = -2*r, 2*c - t = -c - 2*r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/4 - 46\/(-8). Differentiate -3 - 4*p + 2*p + 6*p + r wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 + -41. Calculate the greatest common divisor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, c: 8, s: 1, y: 2}. What is prob of sequence ydcs?\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 745\/1287 + -4\/99. Is -1 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + ((sqrt(833) + -5)*4 - (sqrt(17) + (sqrt(17) - (sqrt(17) + sqrt(51)\/sqrt(3))*3) + sqrt(17) - (-3 + (sqrt(17)*2 + sqrt(17))**2))) + 5.\nAnswer: 31*sqrt(17) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b = 0. Suppose b*l = -3*l + 141. Let c = -15 + l. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3418224, 5, 3, -2, -4 in increasing order.\nAnswer: -3418224, -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7482751 nanoseconds to milliseconds.\nAnswer: 0.0000007482751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -52962 * -1.18\nAnswer: 62495.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144665231 - 84965231. What is r rounded to the nearest one million?\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 315 + -320. What is the second biggest value in 3\/5, i, 41, 2\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/(-112)*(-7)\/3)\/((-130)\/(-104)).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 16 = 5*k + 427 - 258, 18*k - 6*j - 126 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2132 - 2131.9. Which is the nearest to -8? (a) -1\/3 (b) -4 (c) 2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -34. Let z = -42 + 27. Let h = l + z. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7109353 + 240.2251?\nAnswer: 7109593.2251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, 30, -51, 3, -1 in descending order.\nAnswer: 30, 3, 1, -1, -8, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**3 - 591647785354*a**2 + 591647785354*a**2.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166.2 + 163.2. Let y(r) = r + 4. Let q be y(0). Suppose 5*m - 10 = 5*n, 4*m - q - 4 = 3*n. What is the third biggest value in b, 0.04, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 14*h**2 + 15*h + 18. Let p be j(-13). Let u be (p + 8)\/(1 - 3). Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*v = -73*v - 44. Factor 2*y**2 + 162*y - y**4 - 166*y - y**v + 0*y**2 + 4*y**3.\nAnswer: -2*y*(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001207 to five dps.\nAnswer: -0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4, -4, 5, 11 in descending order.\nAnswer: 13, 11, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 7*a**2 + 86*a - 36. Determine u(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.2, 276, -0.1?\nAnswer: 276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**4\/24 - 2*t**3 + 4*t**2. Let a be l(-14). Let d(i) = 1 - a*i**3 + 4*i**3 - 3*i**3 - 2*i + 3*i**2. Give d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16596 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -74*b - 4412. Does 17 divide f(-61)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 582307.4 years?\nAnswer: 58230.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*f - 38*f - 10 + 27*f**2 + 11*f**2 - 11*f + (-f + 6*f + 0*f)*(3 - 3 + 3*f) as b + r*f**2 + g*f and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 108 = -29*b. Let o(n) = n**2 + 4*n + 3. Suppose -3*y = 2 + 10. Let k be o(y). Solve -k*z - 4*t = -7*z - 8, 0 = -b*z + t + 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (7 - 0)) + 5 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/147 not equal to 5.854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30121 - -1020?\nAnswer: -23101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -28*s**2 + 5*s - 2. Let y(u) = 14*u**2 - 3*u + 1. Give 3*x(v) + 5*y(v).\nAnswer: -14*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**3 - 9*x**2 + 4*x - 7. Let b(c) = 2*c**3 + 4*c**2 - 2*c + 3. Suppose 187 - 186 = -15*t + 136. Calculate t*b(a) + 4*h(a).\nAnswer: 2*a**3 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + o - 1. Let y(k) = -k**3 - 9*k**2 - 3*k + 7. Let s(z) = 6*f(z) + y(z). Determine s(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66\/1943407 or 1?\nAnswer: -66\/1943407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.00553 to 2 dps.\nAnswer: -4.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3969638 + -2794842. Let p = -1174879.0043 + n. Let v = -83 - p. Round v to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2318 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and -1*2\/9 + (-8716)\/(-18).\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292982596.\nAnswer: 2, 73245649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1042254 - 2?\nAnswer: -1042256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10, 0.4, -1.6, 0, 66, -13.5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4924?\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38\/3 + (-2)\/3. Let y = -20 + 28. What is the highest common divisor of n and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1381*x**3 + 4526*x**3 - 1566*x**3 - 1572*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -910637 + 910636.8. Let i = 0 + -4. What is the third smallest value in i, -0.15, c?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 + 36*j - 34. Let t be r(10). Let s be 2\/(-1)*(-220 + -1). What is the highest common divisor of s and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59*t**2 + 33*t**2 - 60*t**2)*(-5*t - 24*t - t) + 3*t**3 - t**3 - 4*t**3 + 3*t + t**3 - 3*t to the form x*t**2 + f + z*t**3 + h*t and give z.\nAnswer: -961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.058599716 to 4 decimal places.\nAnswer: 2.0586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (311\/(2574147\/356))\/((-8)\/(-30)).\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 709.2 + -709. Which is the closest to -1? (a) -247 (b) 3\/7 (c) m (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*u - 411 = 51*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z + 5*z - 24*z + 3*z + 7*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 45 = 4*k + 13, 0 = 4*m + 4*k + 24 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65845093.\nAnswer: 65845093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 + -3. Let v = 90\/77 - 16\/11. Let m = -2360 - -2360. Which is the nearest to m? (a) v (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -414668*l**5 + 227353*l.\nAnswer: -8293360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 - 4 + 6)*(1 - 4 + 2) + (1 - 1 + 1)*(3 + 10 - 3) + 3 - 4 + 3 + (4 - 4 + 3)*(-10 - 2 + 1))*(5 - 5 - l) in the form w + o*l and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.07, 3\/5, 39?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, y: 2, t: 2}. Give prob of sequence iy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iikr when four letters picked without replacement from akkriakiikrkkkkrkrr.\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3000002 (base 5) to base 16.\nAnswer: b71d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 4. Let y = -22 + 40. Let j be (10\/(-90))\/((-4)\/y). What is the smallest value in j, b, 0.07?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + ((sqrt(8)\/sqrt(4)*6)**2 - sqrt(2)) - sqrt(24)\/sqrt(48))*-6.\nAnswer: -432 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 4739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**2 + r - 7. Suppose 3*u - 37 = -u - v, -2*u = 4*v - 8. Is g(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28248 divided by 6\nAnswer: -4708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 11, y: 2, m: 2}. What is prob of picking 1 y and 2 v?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 8*w**2. Let p(v) = -8*v**2. Determine t(p(b)).\nAnswer: 512*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 2\/(15 - (-1550483)\/(-103367))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 11*d + 20948. Let w = 41957\/8 + d. Find the common denominator of w and 1 + 67\/30 + 30\/50.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34703 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196 + -182 + (-4 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-3\/17)*g*g**1*(g\/(g**(-3\/17)*g*g))\/g**(-2\/15) assuming g is positive.\nAnswer: g**(634\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - -18.6. Let p = 18 - t. Is 0.3 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12073686 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: Expand 3*k + 3 - 3 - 6*k - 2*k + 3*k + (0 + 0 - 2*k)*(7 - 1 - 3).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*a + 45, 4*o - 84*a = -89*a - 21. Solve 0 = -4*h + 5*w + 16 - o, -h = -3*w - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2815445?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from bibak.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 13. What is the tens digit of (-1)\/((-5)\/n*(-2)\/(-118))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 598 and 6153466.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 346138481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50501095?\nAnswer: 5, 10100219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.297 * 658.\nAnswer: 195.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 690 + -28293\/41. Let z(c) = 4*c**2 - 20*c - 23. Let b be z(6). Does b = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6540, 26085, 58590, 104001, 162264, 233325, 317130?\n\"Answer: -9*f**3 + 6534*f**2 + 6*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 80611230?\nAnswer: 80611225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -518 and 722.\nAnswer: -373996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1614*u - 936. What is the hundreds digit of a(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rza when three letters picked without replacement from {j: 1, p: 5, r: 4, z: 1, a: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1764782.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (29\/(290\/(-20)))\/(1*-2). Suppose -1 = 5*f + 2*n - 4, -3*f + 5*n + 8 = 0. Solve -f = 2*x + h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/104 + 10557\/(-897).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, v: 4, o: 2, k: 3}. What is prob of sequence ov?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -453, 0, 3 in descending order.\nAnswer: 3, 0, -453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -246446.7 to the nearest 1000.\nAnswer: -246000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 - 14.99257?\nAnswer: -226.99257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 4*t - 2*t)*(-3 + 2 + 0)*(-t - 8*t + t).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 2*p + 4*p. Let v(m) = 3*m. Let d = 358 + -362. Give d*v(n) + 5*l(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 14. Suppose -7*q + 3*q = 12, 0 = -3*b - u*q. What is the units digit of (b - 3)*1 + 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2936813 * -0.4.\nAnswer: 1174725.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.528 - 0.778. Let y = -0.25 - h. Put -7.1, 4, y in decreasing order.\nAnswer: 4, y, -7.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**3 - 302*o**2 - 7*o - 5430 wrt o.\nAnswer: -18*o - 604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*y - 83 = -2*b, 3*y - 167 = -4*b. Factor 2*d**2 - 7 + 20*d + 5*d**2 - 5*d**2 - b.\nAnswer: 2*(d - 2)*(d + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 26*q**2 - 89*q - 58. Let w be u(-29). Solve -48*a + 53*a - 15 = w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -378 - -193. Let h = -175 - v. Calculate the remainder when 117 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5192?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(48)*-4)\/(-1*(sqrt(64) + (sqrt(64)*-1*3 - sqrt(64)))).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**2*h*i**3 + 7*c**2*i + 5*c*i**3 + 5834*h*i**2 - 4*i**3 + i wrt h?\nAnswer: c**2*i**3 + 5834*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + 7 + 12 + -18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128 + 133. Is 21\/4 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36995427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 37.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1232896 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**2 - 6*k**2 - 158*k - 7*k**2 + 19*k**2 in the form o*k**2 + i + t*k and give t.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.058, 4, -33, 2\/11, -43, 1\/4, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 3*f - 65580, -2*f + 7*f = -2*t + 109276. List the prime factors of f.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d - 68*d + 116*d + 22*d - 5088 = 0 for d.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 7 - m**2 + 2 + 4*m. Let g(w) = -2*w**2 - 3*w + 4. Suppose -3*l + 2*h = -28, 4*h = -3*l + 2*h + 8. What is l*g(f) + 5*j(f)?\nAnswer: -2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 15) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**3 - 38*s + s**3 - 50*s + 88*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1436 = -2*l + 2*p, -25*l + 23*l = p - 1430. Suppose l + 139 = 3*v. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 133047 - 0?\nAnswer: 133047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1391 + -2.06. Round z to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.441 - 0.041. Let z = -4.9 - -0.9. What is the closest to 2\/7 in -5, z, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -1615.95024?\nAnswer: 1615.95024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*z = 12, -3*w + z + 50 = -z. Suppose -4*r = -v - 49, 5*v - w = 1. Calculate the remainder when 22 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 - 560*o + 1118*o - 558*o + 36.\nAnswer: o**3 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 k when four letters picked without replacement from {a: 4, k: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346 = -7*q + 360. Let f(g) be the third derivative of 1\/3*g**3 + 0 + 7*g**q + 0*g**5 + 0*g**4 + 0*g - 1\/120*g**6. Give f(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y + 0*y)*(-10 - 273*y + 116*y + 141*y).\nAnswer: 16*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**5\/30 - o**2. Let u(h) = h - 2. Let c(n) = -2*n**2 + 7*n - 14. Let f(m) = 2*c(m) - 14*u(m). Determine f(a(d)).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1636008643?\nAnswer: 1636008643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u - 3*u - 2 + 4*u - 2*u - u**3 + 8*u**2. Let n be q(8). Calculate the greatest common divisor of 35 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 20*g + 28. Let l be ((-35)\/10)\/(-1)*-6. Let z be q(l). Let r be z\/(28\/(-20)) - -13. Is -0.4 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12352545 (base 6) in base 9?\nAnswer: 674682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8\/7, 3, 0.21, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23762317 to the nearest integer?\nAnswer: 4875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from rrvrrrrvbrbbrbvb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d**2 - 5*d**2 + 0*d + d + d.\nAnswer: 7*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -347\/11562 - -5\/123. Which is smaller: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z - 29*z - 12*z + 15*z.\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.034 + -1.0584. Let a = -0.3456 + o. Let m = 24 - a. Round m to two decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*r + 8*r + 4*r)*(-3*r + r**2 + 3*r) - r**3 - 4 + 4 + (4*r**2 + 2*r**2 - 4*r**2)*(0*r + 0*r + 2*r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 2 = -4*j, j + 2*b + 0*b + 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233869771.\nAnswer: 233869771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 107*x**5\/20 - 47*x**4\/4 - x**3\/6 + 2*x + 55. Find the third derivative of i(c) wrt c.\nAnswer: 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (sqrt(396) - (1*sqrt(396) - sqrt(396))))\/sqrt(12))\/(sqrt(110)\/(sqrt(20)\/sqrt(2))) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 5\/4, -5, 266?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v**2 - 7*v + 1. Let u(t) = -15*t**2 - 14*t + 3. Let o(s) = 11*j(s) - 6*u(s). Let p(m) = -9*m**2 - 5*m + 5. What is -5*o(l) - 7*p(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/((-8)\/2)*-2. Let z(t) = 0 + 90*t**i + 4 - 92*t**2. Let r be z(2). Put -5, 2, r in decreasing order.\nAnswer: 2, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15187529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*q - 1 = 0, 0*a = -a - 5*q + 6. Let p = 1249\/28799 - 1\/2787. Is p less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 10 = -4*u + 4*y, 2*y = -2. What is the first derivative of -3 - 5 + 0*r**u + 4*r**3 + 3 wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1645, 4, 3, -2, 8.\nAnswer: -2, 2, 3, 4, 8, 1645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 191 - -297?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2 + 59. Let d(q) = 2*q**2 + 1. Let r(l) = -4*l**2 - 1. Let o(t) = -d(t) - r(t). What is o(b(y))?\nAnswer: 50*y**4 - 1180*y**2 + 6962","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -6*m + 8*m. Calculate the remainder when 53 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 67, 52, 37?\n\"Answer: -15*x + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 15*h**2 + 12*h + 24. Suppose -3*f = 74*z - 78*z + 68, 4 = -f. Calculate y(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -1, 9 in decreasing order.\nAnswer: 9, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 33 - 2*k**3 - 4*k**3 + 26 - 109.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -103, -239, -431?\nAnswer: -679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 m when three letters picked without replacement from {w: 2, t: 1, m: 4, c: 1, p: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -2 (b) -3 (c) 1 (d) -0.1 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 - 52*o + 33. What is t(-12)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iegf when four letters picked without replacement from eggigggigifggieiigf.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 3 = 3*u. Let j be 2 - 4 - (u - 1). Let y(p) = j*p - 1 + 2 + p**3 - p. Calculate y(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + -38. Suppose -5*d = 2*d - 14. Suppose -d*i - z = -3*i. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 8*i - 1. What is the remainder when 75 is divided by v(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + o**2. Let k = 6 - 0. Let g(a) = 10*a**3 + 6*a**2 + 5*a. Let s(h) = k*y(h) - g(h). Find the second derivative of s(w) wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -0.05, -0.19, 90\/13, -6 in increasing order.\nAnswer: -6, -0.19, -0.05, 3\/4, 90\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*l + 14 = -36*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58103.23ug to tonnes.\nAnswer: 0.00000005810323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*y**3)*(1 + 1 + 1)*(5*y - 2*y - 2*y).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1784 = 1460*d + 9102 + 2902 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 2*o**4\/3 + 4*o**3\/3 - o**2\/2 - o. Let t(p) = 7*p**2 + 7*p - 1. Suppose 0 = -446*b + 287*b + 795. What is b*v(y) - 6*t(y)?\nAnswer: -2*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 + -3a0?\nAnswer: -38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 705, 738, 793, 870, 969, 1090?\nAnswer: 1233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123318 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4245881cm in meters?\nAnswer: 0.004245881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6260*f**3*y + f**3 - 1364*f**2 wrt y.\nAnswer: 6260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -182214355*h**3 + 9484798*h wrt h?\nAnswer: -1093286130*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167\/5 - 401\/15. Let p be (-3)\/27 + (-192)\/(-27). Is z equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 - (-4 + 3) - -25 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7000 + -6995. Solve 8*o - l*w = 3*o + 50, -30 = -o + 5*w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 + 240. Suppose -5*y + p + 0 = 0. Suppose -4*h + y = 4*v - 47, 3*v + h - 62 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3982464?\nAnswer: 2, 3, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 5*f + 7. Let w be l(4). Let h(a) = -a**3 + 2*a**2 + 4*a - 4. Let q be h(w). Let m = -0.05 + -3.95. What is the nearest to -0.2 in 0, q, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6920*f - 7033*f + 2 - 29 to v*f + p and give v.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6940360*m**3 - 249*m**2 + 1436 wrt m?\nAnswer: 41642160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s. Suppose k - 2 = -s*k. Suppose -4*i - o + 28 = 0, 6 + 32 = 5*i + k*o. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854655 is divided by 302?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/9 or 759?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 46017*b + 1 - b**2 - 46176*b - 3 to the form j*b + p*b**2 + r and give j.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 93*k + 3 + 7.\nAnswer: 93*k + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 - 22 = 0. Suppose 0 = -26*r + 8 - 372. Let a be 1\/(1 - (-7)\/r). Solve -a = 3*v - i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 s when four letters picked without replacement from vssvsvzsssvzss.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11780 and 6200?\nAnswer: 117800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -327227, -327226, -327225, -327224, -327223, -327222?\n\"Answer: l - 327228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 22 + 82. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + 1*(0 + sqrt(2299) - (sqrt(684) + 2 + sqrt(19)))**2.\nAnswer: -16*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 407894881 to the nearest integer?\nAnswer: 20196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3784*z + 3786*z - 11346*z - 118*z**2 + 3776*z.\nAnswer: -118*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 120 = -516. Suppose 5*m + h = 2*m. What is m rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -24360384.201?\nAnswer: 24360384.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 3, u: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 5, 21, -4, 0 in decreasing order.\nAnswer: 21, 13, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.152 * 243443\nAnswer: -37003.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*w - 1678, 2*w + 3*w + 3408 = -4*p. Let d = p - -1220. What are the prime factors of d?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59398 is divided by 5153.\nAnswer: 2715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 + 4*c + 4. Is n(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6109.\nAnswer: 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32810 (base 10) to base 4.\nAnswer: -20000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4655945143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 11*x**2 + 7*x - 189. Let g(r) be the first derivative of -r**3 + r + 139. Let p(z) = 28*g(z) - 4*o(z). Suppose p(n) = 0. Calculate n.\nAnswer: -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-4)\/24 - (-22)\/12. Suppose g*t + 3*t - 170 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(104)*-2)\/(sqrt(392) + 2*sqrt(392) + sqrt(392)) + 6*((sqrt(104)\/sqrt(2))\/sqrt(4))**2*3.\nAnswer: -sqrt(13)\/14 + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 119560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*u = -119*u - 435*u + 16955 + 38611 for u.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**3*v**4 - 2*o**3 + 63*o*v**4 - 14*o*v**2 wrt v.\nAnswer: -96*o**3*v + 1512*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 9*q + 19. Let m be w(-6). Let z be 198 - -9*m\/(-3). Let y = z - 93. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 166 = -2*k, 2*k - 6*n = -2*n + 156. Let f = k - 65. What is the greatest common factor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1226, 0, -1\/5 in decreasing order.\nAnswer: 0, -0.1226, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**3 - 5*o**2 - 3*o + 4. Let r be q(-4). Let a = r - -1229. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*a = 76*a + 83*a + 174 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7127*q - 4875. Is p(44) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101000 (base 2) to base 14\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -76, -142, -206, -268, -328?\n\"Answer: g**2 - 69*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/278943423 and -4\/915.\nAnswer: 1394717115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4010143, -16040570, -36091281, -64162276, -100253555, -144365118?\n\"Answer: -4010142*v**2 - v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 135490*y - 3. Give t(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 816 - 800. Solve -6*r - u = -46 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 - ((-41 + 33 - (1 - -7)) + (45 - 26))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2141014 is divided by 133812?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 18 = 5*x - 5*b, -5*x = -b + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 10*r - 173. Let d(t) = -t**2. Calculate d(l(s)).\nAnswer: -100*s**2 + 3460*s - 29929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5024290 is divided by 1166?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1569662110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o + 13 = t + 14*o, -o - 52 = -4*t. Let b be (65\/10)\/(1\/14). Calculate the highest common divisor of b and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/20*38\/(-171)*18\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48872423*k**4 + 20049349*k**2 wrt k.\nAnswer: -1172938152*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5952 and 46686?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 187031 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2*p)**(-31))**15 assuming p is positive.\nAnswer: p**(-1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-27))\/((-78)\/(-52))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1011614?\nAnswer: 2, 59, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.16018 and 168.\nAnswer: -530.91024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**4 + 3*i**3 + 3*i**2 + 40. Let o(q) = 2*q**4 + 2*q**3 + 3*q**2 + 41. Let g(n) = 2*f(n) - 3*o(n). What is the first derivative of g(k) wrt k?\nAnswer: -8*k**3 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22959, 45710, 68605, 91716, 115115, 138874, 163065?\nAnswer: 187760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 372, 1269, 2510, 4095, 6024, 8297, 10914?\n\"Answer: 172*h**2 + 381*h - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 827160343 to the power of 1\/4, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8415101363 take away -4?\nAnswer: 8415101367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2, 0.08, 1, 5 in increasing order.\nAnswer: -2, 0.08, 2\/9, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 578.\nAnswer: -19\/578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 27*u. Let s(k) = k - 5. Let h(t) = t - 6. Let a(w) = -5*h(w) + 6*s(w). Give d(a(c)).\nAnswer: -c**2 + 27*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 2\/3*q**3 - 5\/2*q**2 - 9*q - 4. What is the remainder when 46 is divided by u(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144 - -140. Suppose 0 = -5*x - x + 30. Suppose 3*s - 14 = x*p - 0*p, 5*s = 4*p + 19. What is the nearest to p in -1\/2, 0.9, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16364652277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**6\/180 - 7*d**5\/60 + d**4 - 21*d**3\/2 - 2*d**2 - 27. Let x(j) be the first derivative of o(j). Let x(m) = 0. What is m?\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.02 (b) 0.4 (c) -4 (d) -2066.64 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*u = 227*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + ((-8)\/1 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {p: 1, r: 5, x: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109456?\nAnswer: 2, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 111119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -201?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 59, 63268, 2, 0.3?\nAnswer: 63268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 3 = 3*j + 3*p, 2*j - p = 3. Let 3\/2*r**4 + 0 + 9\/2*r**3 + 0*r + j*r**2 = 0. Calculate r.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 884277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2893, -11572, -26065, -46396, -72589, -104668, -142657, -186580?\nAnswer: -236461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**8))\/(d**(4\/7)\/d))\/(((d*d*d*d*d\/d**(2\/29)*d)\/d)\/d**9)*((d**(2\/13)\/d*d)\/(d\/d**(3\/5)))**(-14) assuming d is positive.\nAnswer: d**(210377\/13195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 3. Let v(u) = -4*u**3 - 2*u + 1. Let n(r) = r**2 + 3*r + 3. Let p be n(-2). Let q be v(p). Let h be o(q). Solve y + 2 + h = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 - -347. What is the derivative of -5*u + 12*u + 16*u + o + 14*u + 23*u wrt u?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1020*w + 5117 = -719*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n - 1. Let c(r) = r. Give l(c(k)).\nAnswer: -5*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/23023 and -34\/2093?\nAnswer: 23023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, z: 4}. What is prob of picking 1 v and 2 z?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -17286*d - 102998. Give v(-6).\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/6 - 1162*q**2\/3 + 8602*q.\nAnswer: -q*(q - 22)*(q + 2346)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/1*-1 + 10. Suppose -33 + 23 = -u*s. Solve 2*m - 4*c + 10 = 0, -s*c + 0*c + 1 = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 28*y + 3 - 2 - 9*y. Is 11 a factor of z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/3456*18*42\/(6\/(-2))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.26898 nanograms in grams?\nAnswer: 0.00000009226898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4078 + -4077.8931. What is t rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79235 divided by -2346.\nAnswer: 3445\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 + 286. Suppose 0 = -3*j + 2 + p. Suppose -4*y + 110 = -2*q, 3*q + 0 = 15. Calculate the greatest common factor of y and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106)\/(-583)*22\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113317*c - 17591*c + 24 - 11 - 12.\nAnswer: -130908*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 30 = 8. Suppose -2*c = 4*b - b - 12, -3*b = -4*c - 12. Suppose -202 = -19*r - 107. Solve b*j - 3*l + l = -a, r*l - 13 = -4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 3*o - 1. Let b(w) = 17287*w**2 - 5274*w - 1758. Let d(x) = -b(x) + 1758*y(x). Let f(k) = -k**2. Determine f(d(u)).\nAnswer: -189640441*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 9:34 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721226355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 232*u**2 + 1011*u - 15846. Give s(236).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away 10731538897?\nAnswer: -10731538890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 5*y**2 + 4*y + 61. Let o be i(-7). Is o smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 17.23786 meters?\nAnswer: 0.01723786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (546\/105)\/(-13)*(-3)\/(3\/4)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, y: 2}. What is prob of sequence ppyp?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 7) in base 8?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 1.44.\nAnswer: -18.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(-11 + 3*h - 2*h + 8)*(8*h**4 - 1141 + 1141).\nAnswer: 8*h**5 - 24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 535333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8969, -9159, -9349, -9539, -9729?\n\"Answer: -190*t - 8779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 72, 134, 196, 258, 320, 382?\n\"Answer: 62*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -85, -87, -89, -91, -93?\n\"Answer: -2*o - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2361\/28 - 351\/4. Calculate the common denominator of 2\/9 - 812\/36 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 60*h - 88. Calculate the remainder when k(51) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*s - 16 = 4, 3*w + s = -8. Is (21156\/20)\/3 - w\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 7*m + 67 = -12*m, 3*m = -3*g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 33*f - 198. Calculate p(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 40*b**2 - 164*b - 2210. What is z(-42)?\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*c**3 - 481*c**4 + 478*c**4 - 48*c - c**3 wrt c?\nAnswer: -36*c**2 - 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.21? (a) -0.2 (b) -5\/3 (c) 5 (d) 9 (e) -148 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2509230080762.77940409 - -2509230104050. Let f = 23286.2326 - r. Let h = f - -0.988. What is h rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -5*c**7\/98 - 23*c**6\/70 + 45*c**5\/28 - 61*c**4\/28 + c**3 - 1177*c. What is x in q(x) = 0?\nAnswer: -7, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - w = 23, 2*w - 8 = z + 9. Let h = 3 + z. Let x be (-4)\/8 + (-2)\/h. Solve x*l = -2*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53, -159, -337, -587, -909, -1303, -1769?\n\"Answer: -36*x**2 + 2*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1631, -3264, -4897, -6530?\n\"Answer: -1633*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -2\/23, 3, 5, -15?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6883 - 0.3117. What is the closest to -35 in 3, -4\/5, -2\/19, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(96)\/sqrt(2)*-6*4 + -1.\nAnswer: -1 + 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 12*a**2 - 14*a - 621. What is w(0)?\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2714030 and 3630.\nAnswer: 8142090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or -5103?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(17))*2.\nAnswer: 6 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135002520?\nAnswer: 2, 3, 5, 31, 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (680 - 678 - (-1 - (1 - 28))) + 0 + -1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21, 75, 215, 483, 921, 1571, 2475, 3675?\n\"Answer: 7*z**3 + z**2 + 2*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 6. Let z be k(-5). Let h = 3 - z. Suppose 0 = -3*o, -4*r + o + h*o = -52. Calculate the remainder when 38 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 32*i - 31*i. Let z = -30 + 32. Sort 7, z, i in ascending order.\nAnswer: z, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*x - 1, -4*v = 5*x + 1 - 4. Let b(k) be the first derivative of -21*k**2 + 9*k**v + 4*k - 4 + 11*k**2 + 6. Give b(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r**4 + 720*r**3 - 11843*r**2 + 937286242*r wrt r?\nAnswer: 36*r**2 + 4320*r - 23686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (-1*204)\/(-3). Let h = -11 + 3. What is the units digit of 8\/q - (1505\/h + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895161 to the power of 1\/2, to the nearest integer?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2427 + -2490 + (23 - 0) + -1.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/4 + 1\/2. Let r be (5\/(-3) + 2)*u. Solve 4*t = -r*y - 14, -3*t = -2*y - 6*t - 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55000 rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -607*n + 225*n - 233*n - 84*n + 6482 - 6774 wrt n?\nAnswer: -699","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + -2 + -1)*10\/4. Let j(q) = -9*q**2 + 7*q + 16. Let x(b) = 4*b**2 - 3*b - 8. Determine l*x(m) + 2*j(m).\nAnswer: 2*m**2 - m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/10 of a decade?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i - 21*i**2 + 0*i - 8*i + 19*i**2 to r*i**2 + s*i + c and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4904 + 4853. Let g be (-34)\/(-10) - (-6)\/(-15). Let k(w) = w**g + 3*w - 2*w - 3*w - 2. Let p(q) = -8*q**3 + 17*q + 17. Give s*k(x) - 6*p(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91 + 93. Calculate the least common multiple of 4 - (1\/1 + -9) and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/7)*t)\/(t*t\/t**(-1\/15)))\/(t\/(t*t**(1\/20)*t)*t**(2\/17)\/t) assuming t is positive.\nAnswer: t**(7201\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 508, 920, 1524, 2386, 3572, 5148, 7180?\nAnswer: 9734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -33, 31, -409, 4, 2 in ascending order.\nAnswer: -409, -33, 0, 2, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 148039639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.1081*1.12\nAnswer: 1.241072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23326 + -5827. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or -29\/3493780?\nAnswer: -29\/3493780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 - -112. Let z = 2050 - 38949\/19. Which is the second smallest value? (a) 3 (b) 4\/3 (c) o (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.0269 less than 1.8?\nAnswer: -28.2269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 39, 33, 27, 21, 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*t - 4 - 4, 4*t + i = 4. Let p(d) = 10*d - 6*d + 2 + 8 + t. What is the units digit of p(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 789, 767, 741, 711?\n\"Answer: -2*s**2 - 16*s + 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -11320?\nAnswer: -11325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*z - 2*z**3 + 63*z**2 + 3*z - 1 + 10*z - 61*z**2 as h*z**3 + b*z + u*z**2 + i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*d - 54*d + 1035 = 0. List the prime factors of d.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6326, 7011, 7696, 8381?\n\"Answer: 685*n + 5641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 24922?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/72 - (-2 - 4\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 197 = -f, 3*h - 24*f + 25*f + 296 = 0. Is h greater than -98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Let p(i) = 2*i**3 - 3*i**2. Let h be p(b). Suppose -4*m + z = -36, -m - h + 13 = 4*z. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49545*b**2 - 57905 wrt b?\nAnswer: -99090*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -7*k. Suppose 0*w - 2*w - 8 = k. Let s(r) = r**3 + 4*r**2 + r + 2. Give s(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8756016 to the power of 1\/2, to the nearest integer?\nAnswer: 2959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - -2 - 7 - 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Let i(z) be the third derivative of -z**6\/120 + z**3\/6 - 173*z**2. What is i(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 520?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s - 179. Calculate w(-40).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*g - 124, -26 = -y - 5*g + 5. Differentiate -14*j**2 + 12 + y*j**2 + 19 wrt j.\nAnswer: 34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3150 take away 1.247547?\nAnswer: 3148.752453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/36 and -181\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(57)\/(sqrt(36)\/sqrt(3)))**2.\nAnswer: -sqrt(19) + 23\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phyxa. What is prob of sequence pya?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -23*o + 1. Let j(f) = 12*f. Let a(b) = -7*j(b) - 4*t(b). Let v be a(4). Let d = -8 + v. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2 - 3117*c + 62806. Give u(20).\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 10:54 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*w + 2 = 0, 4*q - 3*w - 3 = -1. Suppose -4*t - v + 83 = 0, -4*t - q*v - v = -89. Calculate the remainder when t is divided by (-15)\/10*(-44)\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 0*g**3 - 1\/78*g**4 - 13*g**2 - 1\/130*g**5 + 2 - 1\/780*g**6 + 0*g. Solve n(t) = 0 for t.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*l**3\/8 + 303*l**2\/8 + 104*l + 135\/2.\nAnswer: (l + 1)*(l + 2)*(11*l + 270)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -22886, -4.\nAnswer: -22886, -4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.4, 0.1, 0.02, -28, -3, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -4, -32.\nAnswer: -32, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/12)\/((-3)\/4) + 61\/63?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -458*t + 437 wrt t?\nAnswer: -458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/14)\/((-2)\/((-8)\/3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1336, 1355, 1330, 1231, 1028, 691, 190?\n\"Answer: -5*z**3 + 8*z**2 + 30*z + 1303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 9 - -3) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -153, -3, 2, -20, 31, -5, 4 in descending order.\nAnswer: 31, 4, 2, -3, -5, -20, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2541?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -1597.97?\nAnswer: 319.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -444.4 - -4?\nAnswer: -440.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*a + 3*c - 1 + 1, -126*a - 2*c = -238*a + 115*a - 55 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 2. Suppose 4*c - 23 = 5. Let s be z(c). Suppose 15 = 6*w - s*w. Solve w = -5*v - 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3572645601?\nAnswer: 3, 7, 19, 8953999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59549, -238172, -535881, -952676?\nAnswer: -1488557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/388 and -55\/8.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 49, 124, 229, 364?\n\"Answer: 15*t**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)\/(p\/p**6))**2\/((p\/p**2)**(-35)*(p**(-1)*p)**(-47)) assuming p is positive.\nAnswer: p**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 204 = -0*j. Let g = -23 + j. Suppose 3 = 2*p + g. Which is the second biggest value? (a) p (b) -11 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than or equal to -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t + 72. Let i(x) = 2*x**2 + 6*x + 2. Calculate the remainder when l(11) is divided by i(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 10) to base 13\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 8:24 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 33*k + 1357. Calculate m(-41).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2214 by -9.\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1104*y + 0*y**3 - 1105*y + 2209*y + 5*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 764.6*61.\nAnswer: 46640.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmnmmnm. What is prob of picking 2 m?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1506 and 451047?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13223 - -12011012132?\nAnswer: 12010332303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v + 6*v)*(3 - 1 - 3)*(7 + 4 - 1).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - 2*y**2 + 5*y**2 + 0*y**2.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188065?\nAnswer: 5, 29, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1726082.\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150 + -749\/5. Which is the third smallest value? (a) n (b) 2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Suppose 5*d = -4*m + 50, -3*m + 30 = 2*d + x. Let g(t) = -8*t**2 - 7*t - 8. Let u(p) = 0 - 19 - 15*p + 2 - 17*p**2. Determine d*u(b) - 13*g(b).\nAnswer: 2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 114*j**3 + 56*j**3 - 9*j - 7 + 83*j**3 + 35 to the form m*j**2 + x*j + q + d*j**3 and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**2 - 9*o + 3. Let x be w(-4). Calculate the greatest common divisor of 17 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 - 32*k**3.\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -438, 4.\nAnswer: -438, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1660 and 18?\nAnswer: 14940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g - 7*g - 176*g**3 - g.\nAnswer: -176*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 24400*c - 50214*c + 24955*c.\nAnswer: -859*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) -4 (b) 2\/3 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-195741)\/169)\/(-9) + ((-4)\/8 - (-105)\/130)?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5+-3.855\nAnswer: -8.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -103220, -412857, -928906, -1651367, -2580240, -3715525, -5057222?\n\"Answer: -103206*s**2 - 19*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1. Let x = 0 + g. Let r = 1 + -0.9. Which is the third smallest value? (a) -0.3 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 6*q**2 + q + 6. Let f(v) = -v. Let o be f(-3). Suppose 2*b - 4 = -5*z + 9, 4*b = -o*z - 9. What is m(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*f - 2 - 9, 5 = -4*n + 3*f. Solve -2*c - d = -c + 1, 0 = 3*c + 4*d + n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -16*s**5\/35 + 11*s**4\/14 - 2*s**3\/7 + 93. Factor k(h).\nAnswer: -2*h**2*(h - 1)*(8*h - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13279521 or -13279522?\nAnswer: -13279522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 83?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -239, -464, -685, -902?\n\"Answer: 2*h**2 - 231*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 1:52 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -203 - -202.9165. Let k = 0.0835627 + h. Round k to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + y**2 + y - 4. What is p(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3))**(-18)*h**2*(h*h**3*h)\/h*(((h\/h**(2\/9))\/h)**(-2\/11))**(-3\/16) assuming h is positive.\nAnswer: h**(-793\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 0*x + 4*x + 6, q - 6 = -3*x. Let c(j) = j - 2. Let m be c(-8). Let l be (24\/m)\/(2\/(-35)). What is the highest common factor of l and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 4:54 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 974314537?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) -0.5 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 12*c**2 + 9*c + 11. Let i be f(-11). Let l be (-2 - -4)\/((-6)\/i). Let o = -14 - -2. Is o > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2715\/120251 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5\/2 + 477*j**4 + 35919*j**3 - 326082*j**2 - 1142793*j\/2 + 2152089 = 0 for j.\nAnswer: -163, -3, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w - 34. Suppose -27*y + 21*y = -36. Let n be q(y). Is 8 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + 14477*d**2 - 2*d**3 - 7226*d**2 - 2 - 7193*d**2 in the form s*d**3 + j*d + z*d**2 + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -10*d + 2. Let l be b(3). Let y = 90 - l. Let q = -39 + y. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 4 = -5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96839150.\nAnswer: 2, 5, 1936783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -2133\/7 - -305. Which is the biggest value? (a) 7 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -147*p - 130. Let u(j) = -73*j - 64. Let d(c) = -5*u(c) + 3*z(c). Differentiate d(v) wrt v.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a factor of 165435765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -12928 >= -0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.062 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.73 + 4.73. Let i = -0.1 + -0.4. What is the third biggest value in -4, i, -1\/6, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44 - -35332?\nAnswer: 35376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 167748 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 0*k**4 + 1\/10*k**5 + 0*k**3 + 0*k - 1\/40*k**6 + 0 - 45*k**2. Factor a(q).\nAnswer: -3*q**2*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.006 + 0.046. Let x = c + -1.1. Let j = -1.302 + x. What is j rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120233332 (base 4) to base 8\nAnswer: 305776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 0 - 79107972\/(-20)) + (-336)\/(-840). What is h rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 + 1958. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15742849 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 2. Let s be l(6). Solve -18 = -s*g - 4*c - 6, -c = -3*g + 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -12*n + 146. Let g be w(12). Let k = -10 - -15. Solve -m + g = k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -603*m - 634*m - 1110 = -1163*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 4*o, -r + 5*o + 61 = 11 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 33*d - 8*d + 89 + 6*d + 101 - 190 + 37*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 589590532 a multiple of 2414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329431167 divided by -551811.\nAnswer: -597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (132\/55)\/(1\/15). Let l be 4*-1*10\/(-8). Suppose -2*b + l*b = -4*f + q, -5*b - 10 = -5*f. Solve -3*u = f - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1144 = -3*j, 4*u + 2*j - 3079 = -791. Solve u = -11*t + 550 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 471381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 5*y - 35, 3 = 96*y - 94*y + k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.931 and -5.\nAnswer: 14.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6075, 9423, 7299, -3033, -24309, -59265, -110637?\n\"Answer: -456*b**3 + 6540*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 44*z**2 - 670*z + 98. Determine u(15).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = s - 61, -2*l - 2*s = l + 67. Let d = l - -21. Suppose 4*p - u - 4768 = d, -u + 3583 = p + 2*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 12259 = 12*u. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 141, 191, -1\/4, -2, 1\/7.\nAnswer: -2, -1\/4, 0.1, 1\/7, 141, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 12*t**2 - 4*t - 43. Let x be l(-12). Solve x*r = u - 1, 2*u + 6 = -3*r + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 4:46 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -30. Calculate the greatest common divisor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -755700 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 19. Let v(g) = g**3 + 7*g**2 - 7*g + 10. Let w be v(q). Let k(c) = c + c**2 - 5*c + c**2 - c**w + 1. Calculate k(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*(sqrt(272) + 1) + -3)*-2 + -3)**2.\nAnswer: 8640*sqrt(17) + 158697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 3, -2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/9 and 47\/6426.\nAnswer: 6426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 9564780.\nAnswer: 2\/2391195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*w + 8321*w - 1136*w.\nAnswer: 6740*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*l = -47*l + 30. Let u be 60\/(-90) - (34\/l + 2). Solve 3 = -p, p = -u*x + 6*p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 259\nAnswer: -77.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/4 + 1\/(-2). Let n be ((-9)\/(-2))\/(i\/(-16)). Suppose -s + n = 3*s. What is the greatest common factor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 5*y**2 + 3*y + 2. Let w be a(5). Suppose -20*f - 576 = -w*f. Let l = -104 - f. Calculate the greatest common factor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v + 5 = 0. Let b(i) = -i**3 - 3*i**2 + 3. Let w be b(v). Suppose o - w - 74 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/7))\/p**(-2)*(p**(-1\/2))**(6\/11))**(1\/34) assuming p is positive.\nAnswer: p**(13\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*i = -51*i - 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = -5*x - 408. Let v = x + 175. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 7:12 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -31, -68, -119, -184?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 241.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 4, -2\/11, 0.32?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-10 + 2)) + (19 - (21 + 5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 55471980?\nAnswer: 55471980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppdqdpdpddddppdp. Give prob of sequence qp.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 5135 = -5057. Solve 2*p + 5*v - 28 = 0, -p + 8 = b*v - 12*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10187494.4 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6383706 nanometers in millimeters?\nAnswer: 0.0000006383706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqq when three letters picked without replacement from qqowqoowqooo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5\/3)\/(y*y**(-3\/7)\/y)*(y**0)**(-43)*((y**(2\/3)\/y)\/y)**49*y\/y**(-6)*y**(2\/27) assuming y is positive.\nAnswer: y**(-11245\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 111933265\nAnswer: 3\/111933265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -22. Let d(q) = -q**3 - 9*q**2 + 10*q + 5. Let t be d(v). Suppose t*p - 236 = -4*o + 96, -4*o - 3*p + 332 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 19132*k + 38120*k - 19119*k to j*k + l and give j.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 3487956?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2988639 to the power of 1\/2, to the nearest integer?\nAnswer: 1729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 5:41 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 871*k**4 + 788*k**4 + 7987 - 4477*k**4 - 1864*k**4 - 5334*k**4 wrt k.\nAnswer: -40064*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23769205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -225548 * -5\nAnswer: 1127740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/4)*a\/((a**(-21)*a)\/a)*a*a assuming a is positive.\nAnswer: a**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.5 + 0.5. Let m = 13.35 - r. Let k = 0.05 + m. What is the second smallest value in 4, k, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-2 - (-1064)\/133\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351200 and 640.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 6:54 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2215 + 2085*c - 726 - 731 - 758 + 58882*c + (5 - 3 - 1)*(2 - 2 + 2*c) - 3*c - c + 3*c to the form f*c + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28 + -14977.16958245.\nAnswer: -14976.88958245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*f - 3744*f**2 - 3621*f**2 - 6*f + 7144*f**2 as u*f + y*f**2 + h and give y.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 27*q + 420. Calculate the remainder when 67 is divided by l(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -11. Solve 4*f + a + 11 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 252*i**2 - 2884*i - 2628.\nAnswer: 4*(i - 73)*(i + 1)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -51. Which is the nearest to g? (a) -0.4 (b) 1\/6 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -6, -4, 0, 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/27)\/((10\/15)\/2). Sort -118, h, 2, -1 in descending order.\nAnswer: h, 2, -1, -118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-65)\/(-130)*0\/2 + ((-672)\/35)\/(-12). Solve -12\/5*q**3 + 0*q**2 + 0*q - w*q**4 + 0 - 1\/5*q**5 = 0 for q.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 1979 - 475. Let l = -33 + f. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*k**2 - 1 - k**3 + 310*k + 153*k**2 + 301*k - 599*k as n*k**2 + m*k + z*k**3 + i and give n.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -45cec4?\nAnswer: -45cebe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2879 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24861337?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 3*t. What is the tens digit of 3\/(-9)*t + 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 981 and 8649.\nAnswer: 942741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11312 - -56623?\nAnswer: 45311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (729 + 13*j - 729)*(-7*j + 250 + 258 - 504) in the form t*j**2 + y*j + n and give t.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v + 2*v + 0*v)*(2 + 3 - 7)*(4 - 5 + 5)*(3 - 3 + 3*v)*(0*v - 2*v + 4*v) to d*v**2 + n*v + r*v**3 + i and give r.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4793, -4792, -4791, -4790?\n\"Answer: u - 4794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 4*q**2 - 4*q - 5. Let s be f(-4). Let j(l) = -l**2 - 10*l + 10. Let p be j(-10). Does p = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/4)\/((-60)\/96). Solve 3*q - 3 = 0, 3*q = 4*c + a*q + 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 9\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 111001001?\nAnswer: -111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -9*n + 36 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 10. Is 13 a factor of (-4)\/(-14) + 89\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/(28\/(-16) - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12efca (base 16) to base 4.\nAnswer: 10232333022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3015*r**4 + 4*r**3 - 2*r**2 - 56*r - 309.\nAnswer: -72360*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*y - 2, -3*y + 8*y + 12 = n. Let z be y*(-1)\/(-24)*2. Let j = -2 + 2.1. Which is the nearest to j? (a) 1 (b) z (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -474040, -948084, -1422128, -1896172?\n\"Answer: -474044*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -3*j + 190, 13015 = -116*v + 3*j + 12936 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6 - 2. Let g be n - 9 - -1*3. Suppose q = -2*w + 6*q + 32, w + 2*q + g = 0. Calculate the remainder when w is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blnfn. What is prob of sequence nbl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 60 = 4*k. Let j(h) = 7*h**2 + 5*h - h**3 + 0 + 6*h - 1. What is the remainder when j(8) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 15 = 2*g, -2*g + g = -5*m + 25. Suppose -4*h + 12 = 0, g = -5*w - 2*h + 6*h + 38. Calculate the highest common divisor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2 + 18*c - 44 = 0. Calculate c.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = o - 38, y - 2*y = o - 18. Suppose 2*u - 32 = -2*b, 2*u + 38 = 4*b - 14. Calculate the lowest common multiple of b and o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5*b - 13 + 29, -8 = -4*l - 2*b. What is the second smallest value in 1\/4, l, -2\/3, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/51 and -115\/264.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 495*u**3 - 868*u**3 + 493*u**3 + 1.\nAnswer: 120*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*((2*l**2 - 2*l**2 + 2*l**2)*(4*l**2 - 5*l**2 + 0*l**2) + 3*l**4 - 2*l**4 + 2*l**4).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43, 3, -1, 49, 171, 383, 703, 1149?\n\"Answer: 3*y**3 - 61*y + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c + 33*c - 5 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-837)\/(-2604))\/(6\/(-7))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1\/b*b*b\/(b\/b**(-3))*b)\/(b**1)**(-14\/3) assuming b is positive.\nAnswer: b**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -3, -103 in descending order.\nAnswer: -3, -30, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 5. Let u = 5 - 11. Let p = -7 - u. Let l be (-2)\/(2\/5) + p. Give h(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b - 18. Give i(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p - p. Let g be -1 - p - (-12)\/(1 - 0). Solve -q = -2*l - g, -4*l + q - 13 = 2*q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*x**3 - 324 - 27*x**2 - 162*x.\nAnswer: -3*(x + 6)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2. Let y = 3 + -3. Let r(l) = y*l**2 + l**2 + 0*l**2 - 2*l**2. Calculate r(t(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 4:21 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 1, -39, -115, -239, -423, -679, -1019?\n\"Answer: -2*y**3 - 2*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.122, 0.1, 93, 2\/9, 3 in descending order.\nAnswer: 93, 3, 2\/9, 0.1, -0.122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 268 and 21620.\nAnswer: 1448540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z + 0 + 4 + z**2 + 3 - 6. Suppose -7 + 2 = i. Calculate h(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -316*g + 311*g + q + 24, 5*q + 24 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4176564*b**4 + b**3 - 2*b**2 + 1608496*b - 6.\nAnswer: 50118768*b**2 + 6*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-6)*((-495)\/75)\/(-33)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21312 - -12200202?\nAnswer: 12112230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**3 - 8*d**2 - 7*d - 1. Is l(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 6 = 9*c - 4*q, 7 = c + 2*q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3022 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c + 30*c + 39104. Is c\/(-36) + ((-40)\/(-9) - 4) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/10)*c\/(c\/(c\/(c**(-5)*c)))*c*c**(2\/13)*c*c*c\/c**8)**26 assuming c is positive.\nAnswer: c**(137\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/11, 846, -1\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 12 = -4*a + 44, 5*a = 4*b + 42. Let i be (1 - 113\/5) + 6\/a. What is the common denominator of 169\/4 + (i\/4 - -6) and -29\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 420448 and 31696?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10354726, 20709455, 31064184?\nAnswer: 41418913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76.4 - 66. Let t = b + -11. Let o = 0.8 + t. What is the third biggest value in -0.2, o, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120132303 (base 4) to base 3\nAnswer: -12002112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**4 + 12*j**3 + 9*j**2 - 15*j - 21. Let g(u) = 3*u**4 - 12*u**3 - 7*u**2 + 14*u + 14. Let c(y) = 3*g(y) + 2*s(y). Determine x so that c(x) = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210478529?\nAnswer: 53, 421, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39169188.\nAnswer: 2, 3, 389, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3821.\nAnswer: 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g\/(g**(-2\/13)\/g*g)*g)*g*g*g**(4\/3))**(-1\/47) assuming g is positive.\nAnswer: g**(-163\/1833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299)*2 + -3 + 5 - (1 + sqrt(2299)*1*-4)**2.\nAnswer: -36783 + 110*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 15\/8, 2, -89, -0.4, -1\/4, 3\/4 in decreasing order.\nAnswer: 2, 15\/8, 3\/4, -1\/4, -0.4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 1\/(-7)*-12. Let g be 10\/30 - (42\/34)\/3. Let i = g + 7\/17. Sort i, l, -0.2 in descending order.\nAnswer: i, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 25, 5*z + 4*s = 6*z - 71089. Let w = -50512 + z. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12019245 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 489798?\nAnswer: 195919.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.042822767 to 5 dps.\nAnswer: -0.04282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -11.6. Let q = w - 0.4. What is the nearest to -1\/4 in q, -2\/7, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + j + 2. Let y(k) = 95*k**2 - 5*k - 12. What is 6*g(q) + y(q)?\nAnswer: 89*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -2. Suppose 0*d - 4*d = -2*w, -2*d + 8 = n*w. Suppose -w = s + 3*z, s + 10 = -0*s - 5*z. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8)**5\/(d**2)**15 assuming d is positive.\nAnswer: d**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 10, -24, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26853013 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - (13 - 5)) + 40 + -63?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i - 6. Suppose -2*o = i - 26. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210100222010 (base 3) to base 11\nAnswer: -268012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -11*u**6\/120 + u**5\/5 - 12*u**2. Find the third derivative of p(b) wrt b.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 1\/2*i**2 - 2 - 2*i. Calculate the lowest common multiple of n(3) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1423 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + u - 3)*(-2*u**4 + 3*u**4 - 3*u**4) + (-2*u**4 + 3*u**4 - 2*u**4)*(-10*u + 7*u - u).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005781179 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/4162 and -46\/3553?\nAnswer: 14787586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7243092 minutes to microseconds.\nAnswer: 43458552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + l**2 + 0*l**2)*(-3*l**3 + 3*l**3 - l**3) + 4*l**5 + 4*l**5 - l**5.\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 74\/5 of a tonne?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00223884 rounded to 4 decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q. Let d(v) = -v. Let b(z) = 2*z + 3. Let o(n) = n - 1. Let f(l) = -b(l) - 3*o(l). Let j(w) = 6*d(w) - f(w). Calculate j(i(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - (sqrt(1377) + sqrt(1377) + 1)) + 3)**2 - (sqrt(85)\/(-1*(sqrt(5) + sqrt(5)*1)))**2.\nAnswer: -36*sqrt(17) + 5507\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9740.279 centuries in decades?\nAnswer: 97402.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 15 = 0, -4 - 31 = -5*a + 3*r. Suppose -3*j + a*v + 8 = 0, 4*j - 2 = 2*v - v. Solve j = -b + 1 + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -74525, -152281, -230037, -307793?\n\"Answer: -77756*j + 3231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 76595098 and -0.0628905.\nAnswer: 76595097.9371095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 49. Let m(f) = f**3 - 11*f**2 + 19*f - 9. Let j be m(x). Factor 0 + 1\/2*k**5 - 1\/2*k**3 + 0*k + j*k**2 + 0*k**4.\nAnswer: k**3*(k - 1)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 0.1, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2441973?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -713319038, -713319037, -713319036?\nAnswer: -713319035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1900) + 2)*4 + 4)**2.\nAnswer: 560*sqrt(19) + 30449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 41 + 380546707.783\nAnswer: 380546748.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 826.6682 millimeters in centimeters?\nAnswer: 82.66682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**3 + 23*m**2 - 2*m + 6. Give j(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 381877 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2560 divided by 16\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m + 13*m)*(6 - 2 + 1).\nAnswer: 55*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7283247 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1444947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 52*u**3 + 4*u**2 - 2*u + 4. Let p be d(3). Suppose 0*a - 4*b - 2156 = -3*a, 2*a = 2*b + p. What is a rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -117, -119, -113, -93, -53, 13?\n\"Answer: p**3 - 2*p**2 - 3*p - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-1*2 - -5*(sqrt(605) - (sqrt(605)*2 - sqrt(605))))**2*1.\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 5*i**2 + 3*i + 19. Determine d(8).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13941716 a multiple of 1938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 take away 18.7031?\nAnswer: -19.0131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -2, -0.3, -6, -1\/3, 38 in descending order.\nAnswer: 38, 2, -0.3, -1\/3, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r + 29 = -5*a, -5*a - 35 = -5*r. What is the remainder when r is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**2 + 132*c + 136. Let a be f(27). Calculate the highest common factor of a and 530.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 8*h**2 + 2*h - 11. Let p be 4\/((-2)\/(-4)*1). Let u be w(p). Suppose 0*a + 3*a = u*l + 22, 3*l + 10 = a. Solve 0 = a*d - 11 - 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/11 + 98\/55. Suppose 3*d + 5*u + 4 = -10, 0 = 3*d - 4*u - 22. Factor -2\/5*s**d - 8\/5*s - l.\nAnswer: -2*(s + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (41 - 21 - 43 + (-1 + 0 + 2)*(-4 + 2 + 0))*(25*g**2 - 2*g + 2*g - 4*g**2) in the form s + t*g + h*g**2 and give h.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d**2 + 18*d**3 - 39*d**3 + 25*d**3 + 8 - 3 as v*d**2 + x*d + u + p*d**3 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1035*t - 89394*t - 38291*t - 44595*t)*(-3 + 3 - 2)*(2 - 5 + 2) to k*t + f and give k.\nAnswer: -342490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 2*v = 10*g, -5*v + 22 = 3*g. Suppose -g*o - 2 = -f - 0, -3*f = 4*o - 6. What is the remainder when 27 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -501, -262, -57, 108, 227, 294?\n\"Answer: -y**3 - 11*y**2 + 279*y - 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66457 is divided by 1169.\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5549517768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10386842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -23205*c + 652. Is m(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/36 and (-640)\/216 + 2\/1?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/20747, 0.05, 4 in decreasing order.\nAnswer: 4, 0.05, 18\/20747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.8 (b) -4 (c) -0.2 (d) 5.296102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.82 and 4875948?\nAnswer: -3998277.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1, -1, -322.1, -2\/5 in ascending order.\nAnswer: -322.1, -10, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*c + 2 = 0, 3*n + 0*c + c = 1. Let g(p) be the first derivative of 0*p**2 + n*p**3 - 2\/15*p**5 + 0*p**4 + 2 - 1\/18*p**6 + 0*p. Solve g(u) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 7*h - 22.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -507 - -994. List the prime factors of r.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10270 is divided by 208?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18377 divided by 1\nAnswer: 18377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1940, -2366, -3002, -3842, -4880?\n\"Answer: u**3 - 111*u**2 - 100*u - 1730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(209) + -1*6*sqrt(209))\/(sqrt(1100)*5 + sqrt(1100) - sqrt(1100)) + 4.\nAnswer: -sqrt(19)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3633\/28 - 0 - 1\/(-4). Suppose -j = 6*u + 7*u. Which is the smallest value? (a) -2 (b) 0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 26*l + 180 = 3*l. Let a(r) = -r - 7. Determine a(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 266 = q - 16, 0 = -3*r - 5*q + 156. Does 19 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**8\/5040 - w**7\/210 - w**5\/4 + w**3\/6 + 114*w**2. Let q(f) be the third derivative of v(f). Factor q(o).\nAnswer: -4*o*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -1. Let a = -4 + 3. Let l be (a - 0)*(1 + -4). Solve 5*c = -5*h + 15, -3*h + d = l*c - c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -1, -17, 0.\nAnswer: -17, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 1, d: 2, z: 2}. Give prob of picking 1 r and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-6) - 236\/(-72) and -21\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xpvpxxxppppxxxppxxp. Give prob of sequence vxpp.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 214590, 214589, 214588, 214587?\n\"Answer: -z + 214591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55285 by 2.\nAnswer: -55285\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1586000 rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1757376570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/14 - 1*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-118)\/(-7))*40\/(-64)*7.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*v - 12, 5*l + 2*v - 6 = -0. Suppose l - 1\/3*i**3 + 2\/3*i + 1\/3*i**2 = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -259 in 3, -0.2, 2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/75 - (-14036)\/(-1100)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 - 22 - f + 22 to the form a*f + z and give z.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-24)\/(-20)*(-810)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -233 in ascending order.\nAnswer: -233, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 6 = 5*b. Suppose 0 = b*n + 2*n - 10. Let g(o) be the first derivative of 3*o**2\/2 - 3*o - 16. Determine g(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 4. Suppose 0*p + p = -2*m + 7, 4 = 2*m + 4*p. Suppose -i*c + 18 = -t, -c + 15 = 2*t - m. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.07, -0.3, -58, -1\/5, 1\/9, -28?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*q + 511, q = -4*q + 3*c + 1280. Suppose m = -3*u + 110, 2*m + 2*u - q = -29. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136 - -139. Solve 4*y = 5*w - 11 - 6, a*y + 10 = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -217717082078.77.\nAnswer: -217717082079.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -224 - 944 + 28 - 2*r + 5*r - 5 + 5 + 1 - 1 + r + (2*r + 0*r - r)*(4 - 2 + 0) + 2*r - r + 0*r in the form a + j*r and give a.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1065 = -526. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**5\/20 + 7*n**4\/12 - n**3\/2 - 3*n**2 - 222*n. Let l be b(6). Solve 3*x + 0 = l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pspppssppsssssssppsp. Give prob of picking 2 p.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -a - 13. Solve -5*r = -r - a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 4, 5, -943, 0, 11 in descending order.\nAnswer: 11, 5, 4, 0, -55, -943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 129*p - 1449. Let k be y(47). Solve k - 2445 = -8*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n - 20. Let v(s) = -15*s - 44. Let m(x) = 9*p(x) - 4*v(x). What is m(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3715 (base 12) to base 3.\nAnswer: -22111222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 1958766?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(8) + sqrt(72)) - (sqrt(8) + -4*sqrt(32)\/sqrt(4) + sqrt(8)))\/(-5*(sqrt(400) - sqrt(400)*-3) - sqrt(400)).\nAnswer: -13*sqrt(2)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1042356, -1042368, -1042380?\nAnswer: -1042392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 4486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2665\/6765*15\/(-65)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/5 + 2748*h\/5 + 32832\/5.\nAnswer: (h + 12)*(h + 2736)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 9*z = -4*z + 24, -d + 2*z + 3 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 9:27 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.2 - -6.82. Let v = t + 3.28. What is the third biggest value in v, -0.14, -0.07?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -627*p - 23820. Calculate t(-38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61932, 123908, 185888, 247872, 309860?\nAnswer: 371852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 472 * -41\nAnswer: -19352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 16. Let n = -5 + c. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1993 + 2389 + 629 - 262 - 696 - 5891*m with respect to m.\nAnswer: -5891","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 9 = -21 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7791346 is divided by 7791330.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 16*l**2 + 32*l - 68. What is o(14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 124 and 88?\nAnswer: 10912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + 6 + 3 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from pbbpbbbbbbbbbpbbbbbb?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 156*t**2 - 12*t + 61. Is h(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 12799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 267 and 623.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**3 - 132078*x**2 + 528276*x - 528264 = 0.\nAnswer: 2, 44022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1686060 and 2850.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*v - 204 = 52*v. What is the remainder when v is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nggo. What is prob of picking 1 n and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a + 398 - 397 + 3*a. Determine i(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -208, -639, -1470, -2833, -4860?\nAnswer: -7683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 1. Let z(m) = 9*m + 8. Let l(q) = -3*o(q) - z(q). Let j = -1618 - -1632. Let i be l(j). What is the greatest common divisor of 41 and i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -5 + (sqrt(11) - sqrt(88)\/sqrt(8)) + sqrt(11) - (sqrt(385)\/sqrt(7) - sqrt(55))\/sqrt(5)) + -2*((-1 + sqrt(11))*-2)**2*6.\nAnswer: -581 + 98*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -13*y**2 + 13*y - 4. Let g(c) = 9*c**2 - 9*c + 3. Determine 7*g(q) + 5*p(q).\nAnswer: -2*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 5. Let n be k(4). Suppose -5*l - 3*z = -0*l - 15, l + 4*z - 3 = 0. Differentiate -2 - n*a**l + 4*a**3 + 3*a**3 + a**3 wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*t - 84 = -31*t. Let w be (44\/(-462))\/((-2)\/t). Sort w, 1, -3\/4 in descending order.\nAnswer: 1, w, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9*g - 2. Let x(z) = -5*z + 1. Let f be -1*(1*-3)\/1. Suppose -f*r - 6 = 9. Let a(p) = r*x(p) - 3*m(p). Differentiate a(q) with respect to q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - w = 14, -2*y - 11 + 45 = 4*w. Let g be (1 + (-27)\/y)*-5. Put g, 2, 26 in increasing order.\nAnswer: 2, g, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3841 and 1837.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -9*d + 88. Determine o(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/651*(-7)\/(-2)*(-240)\/(-560).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/5 + 7367232*i\/5 - 66304764\/5.\nAnswer: -4*(i - 1841799)*(i - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56313437 to the power of 1\/3, to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1674544473 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12895, -25788, -38685, -51586?\nAnswer: -64491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/5 + 351878*i\/5 + 30954531721\/5.\nAnswer: (i + 175939)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13535167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*r + 0*r - 8 = 0, -3*l = -r - 16. Let a(g) = -11*g + 451. Let y be a(41). Solve y = l*m + 20, -3 - 19 = t + 4*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -49*d + 1 + 25*d + 5 + 22*d. Let t(q) = -3*q. Calculate c(t(r)).\nAnswer: 6*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-12)\/90*10\/8\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgubigpiiuifppiip. Give prob of picking 1 b, 2 g, and 1 f.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {w: 7, e: 6, y: 4}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-3))\/(15\/(-20)*600\/675).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 1:14 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 995 divided by -127?\nAnswer: -995\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111648?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.009 + -0.119. What is the third biggest value in -1, u, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 9 + (-1 - (2 + 5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*5*14\/(-770)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/8 and (2\/(-60))\/(-11 - 29240\/(-2664)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3114 divided by -4.\nAnswer: 1557\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -13*c**4 + c**3\/3 + 18*c - 16. Let w(m) = -2*m. Give w(d(z)).\nAnswer: 312*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6761*z + 524*z - 1.\nAnswer: -6237*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3528084.17 rounded to the nearest one thousand?\nAnswer: -3528000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -982404 + 1971195. Let k = q - 588791. Round k to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*w + 460*w + 40 = -5*c, -31 = 2*w + 5*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, t: 7, w: 2}. What is prob of sequence ww?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)*-3*-3)\/(-1*sqrt(1152)*-5).\nAnswer: 9*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*x = 14, -23 = z - x + 6*x. Solve -5*m = w + 16, 0 = 3*w - z*m - 2 - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2205) + 2 + sqrt(2205) - (-2*sqrt(180) + sqrt(5) + -5*sqrt(80))**2.\nAnswer: -4803 + 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6583478, -13167034, -19750590, -26334146, -32917702?\nAnswer: -39501258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/48*((-174)\/9 + -18)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2515442761\/210 + 11978322. Let h = 33\/70 - l. Find the common denominator of h and -61\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3669377 + 9969377. What is p rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6099, 2, -6.\nAnswer: -6, 0, 2, 6099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 515, 1024, 1529, 2030, 2527?\nAnswer: 3020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f - 51. Let m be w(-8). Suppose -3*z = -4*n + 65, -2*n = -m*z + 3*z - 30. Solve -n = -4*d - d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1647 and 1299860712?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, 0.06, 1, -1\/2 in decreasing order.\nAnswer: 5, 1, 0.2, 0.06, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -76.1 and -4.6.\nAnswer: 350.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 73. Let m = 37 + a. Solve 4 = -m*h + h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(4\/3)\/r**(-2)*(r*r\/(r**(-1\/3)*r))**13 assuming r is positive.\nAnswer: r**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -121*s**6\/40 - 297*s**5\/4 - 177*s**4\/4 - 8*s**3 - 2*s + 62. Determine o, given that v(o) = 0.\nAnswer: -16, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10 - (-8)\/5. Let c be f*1\/(-2)*-3. Suppose -c*i + 24 = 3. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/12)\/(9\/27)*874\/(-95)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**2 + p + 4. Calculate the remainder when 42 is divided by j(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4512 + -3035. Let x = k + -907. What are the prime factors of x?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -21, -46, -91, -162, -265, -406, -591?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1353987569 rounded to 5 decimal places?\nAnswer: -0.1354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159 - -160. Which is the closest to -0.073? (a) y (b) -2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(1 - (-68)\/(-80)). Suppose -2*d + 4*p + j = 0, 4*d - 4*p = -2*p + 74. What is the lowest common multiple of 22 and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -18, 1, 4 in decreasing order.\nAnswer: 4, 1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1418*u + 2320*u + 223275 = -1987*u for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 138\/36 + -1*4\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 12*i**2 + 24*i + 12. Calculate a(-10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 910, 4, -1516, -3650?\nAnswer: -6398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (-7 - (-17 + 5))) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(228) - sqrt(228)*-2)\/sqrt(12).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 8*b + 2. Suppose -2*w + 0*p + 31 = -5*p, 4*w + 4*p - 104 = 0. Suppose -r + w*r = 154. Calculate l(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11*i**2 - i + 1. Let f be y(2). Suppose -u + 2*u - 23 = -q, 2*q = u + f. Calculate the lowest common multiple of q and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*t + 23 = 7*o, -16 = -2*o + 4*t. Let q = 50 - o. Find the common denominator of q and 65\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65167 is divided by 1001?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.45 - 0.4.\nAnswer: -7.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, x: 7, c: 2}. Give prob of picking 1 c and 1 l.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4*i + 9*i**3 + 10*i**2 - 8*i**2 - 11*i**3 to x + b*i**3 + r*i**2 + s*i and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-52 - -40) + (4 - -1) + -1 + 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14021503*g**3 + 161*g**2 + g + 1535 wrt g?\nAnswer: 84129018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3086900 to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 635 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 + (-4 - -3) - (83 + -88)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*sqrt(35) + 1*sqrt(4235) + sqrt(4235))\/((2*sqrt(30)\/sqrt(3))\/(sqrt(2) - sqrt(22)\/(sqrt(11)*-1))).\nAnswer: 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -72365 (base 13) in base 16?\nAnswer: -3206f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8317662537\/13 + -640923999. Let x = w + 76238657269\/69069. Let g = -2\/759 - x. Which is the smallest value? (a) 6 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p - 2*p - 2*p. Let g(d) be the first derivative of 2*d**2 + 75. What is g(u) + 2*m(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/2 and (-33)\/(-10) - (-15)\/(75\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/9)\/(6\/3))\/2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 105 = -24*n, -164*n + 165*n + 63 - 52 = -5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 395c + -63c5?\nAnswer: -2968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5 + 2*d + 4 + d - 5 + d**2. Let s be z(-3). Suppose 7*g - 3*g = 4*r, s*r - g = 0. Sort 1, -5, r in increasing order.\nAnswer: -5, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8160 - 2*k**2 + 8160.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, m: 1, e: 1, a: 1, n: 1, r: 2}. Give prob of sequence ye.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6*t - 2*m - 20 = 0, -4*m = 4*t + 24. Let d be 1\/(2\/(-6))*1. Let c(x) = 42*x + 2396. Let g be c(-57). Put t, g, d in descending order.\nAnswer: g, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 3*y**2 - 270*y - 3. Let j be v(18). Put 0, 12, -4, j, -7 in increasing order.\nAnswer: -7, -4, j, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-2 + -1 - -2). Suppose 3*y - 16 = -x - 4, f = 5*x. Suppose -3*w - 4*l + l + 60 = 0, -y = 4*l. Calculate the remainder when w is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1423*a = -1443*a - 80 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (12 + 3 - 1)) + -38.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79 + 79.00000024. Round s to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*d - 6, -m = -2*m + 2*d. What is the greatest common factor of 36 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 3*w + 1. Let d be n(3). Let z be (2\/(-3))\/(d\/(-15)). Solve -m - z = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 168*u - 167*u - 5*h + 21, -5*u - 2*h = -30 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 49 = 153. What is the lowest common multiple of 18 and j?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3778152?\nAnswer: 2, 3, 7, 43, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5949856 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*n - 29. Suppose 0 = -5*k + 2*t + 38, -5*k - n*t + 28 = -2*k. What is the smallest common multiple of k and 105?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/5 + 1567312*u\/5 + 4701954\/5 = 0 for u.\nAnswer: -3, 783659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14996 and 18.\nAnswer: 134964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/15, 1332, -3 in ascending order.\nAnswer: -3, -13\/15, 1332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 11*k**2 - 20*k - 147. Let y(v) = -39*v**2 + 61*v + 440. What is 7*f(x) + 2*y(x)?\nAnswer: -x**2 - 18*x - 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) + 171\/36. Let r(n) = 6*n - 5. Let c(q) = -q + 1. Let u(b) = j*c(b) + r(b). Let l(i) = -3*i + 0*i - i + 3*i. Give l(u(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -5.4. Let y = 0.9 + w. Put 0.5, 0, y in decreasing order.\nAnswer: 0.5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -62, -330, -776, -1400?\n\"Answer: -89*b**2 - b + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*a, 25*a - 29*a = 4*n. Let l(f) = -f**3 + 6*f**2 - 4*f + 1. Let u be l(5). Suppose -3*k = -u - a. Solve -k - 3 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4212, -4069, -3814, -3447, -2968?\nAnswer: -2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9*j - 4. Give o(-16).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-154) - 1\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2 = 2*a. Calculate the smallest common multiple of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-2))\/((-1)\/4). Let b(f) = f**3 + 7*f**2 + f + 9. Let h be b(-7). Let r be h\/8 + 3\/(-12). Sort 3, r, o in decreasing order.\nAnswer: 3, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 1. Let a be r(-1). Let c(v) = 7 + a - v**2 - 5. Let j be c(0). Solve j*q + q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.1244 to one dp.\nAnswer: 38.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38 and -0.059.\nAnswer: 2.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(192)*-2)\/(3*sqrt(36)).\nAnswer: -7*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/28 + -4*7\/(-196).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26caf (base 16) in base 5?\nAnswer: 20041040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1793772 - 1793772 + 99*i.\nAnswer: 99*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -567\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12029 and 0.14142.\nAnswer: 12029.14142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1299*w = 1292*w. Solve -u - 2*s = -4*u, w = 7*s - 3*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535*l - 536*l = c, -2*l + 4 = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58981451 is divided by 32160.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22415 (base 7) to base 13\nAnswer: 2792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t**2 - t**2 + t**2 + 7*t**2 in the form w*t**2 + g + i*t and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s + 4. Let n(q) = -q + 1. Let i(l) = -k(l) + 4*n(l). Let f(w) be the first derivative of w**3 + 1. What is i(f(o))?\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*w**3 - 9*w**3 - 6*w**3 - 9*w**3 + 0*w**3 - 564 as x + s*w + b*w**2 + z*w**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -1\/2 (b) -11888 (c) -0.3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2079*w**2 - 25*w + 5. Let m(f) = 14552*f**2 + 170*f - 34. Calculate -34*a(n) - 5*m(n).\nAnswer: -2074*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 344*b**3 + 0 - 327*b**3 + 635*b**3.\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 10*d**2 + 6*d + 5. Determine m(9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.87 + -4072?\nAnswer: -4071.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*z = 112, -5*z = -d - 40 - 3. Suppose 6*a = a - 5*l - 355, 0 = a + 3*l + 63. Let v = d - a. Is v a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -0*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3*x + 4 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/3 + 21634*f**2\/3 - 64876*f\/3 - 86512\/3 = 0. What is f?\nAnswer: -1, 4, 10814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 11*y**5 - 3*y**4\/4 - 279*y - 677. Find the first derivative of v(d) wrt d.\nAnswer: 220*d**3 - 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*d + 31*d + 45. Solve -25 = 5*r, 4*r + r + 45 = -d*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2194447 - 0.4\nAnswer: 2194446.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-8)\/(-14))*-2. Let t = 8 - p. Calculate the remainder when t is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 25. What is the derivative of q*r + 9*r + 18 - 16 - 11 wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41220.2 tonnes in kilograms?\nAnswer: 41220200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 8 - -4 - -19?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*g + 7858 - 26050 = 0 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-86834)\/21709 - 2\/(-9)*18. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 - 50 = 12*r - 35 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddip when four letters picked without replacement from {i: 2, q: 3, d: 4, p: 1, r: 2, v: 2}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -28 - (-5 - -3) - 4. Suppose -186 = x*v - 28*v. What are the prime factors of v?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-12)*4 + 0. Suppose 6265 = 5*c + g, w*c + 3*g - 1274 - 2485 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 156351, 156357, 156375, 156411, 156471, 156561, 156687, 156855?\n\"Answer: w**3 - w + 156351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + k**2 + 3)*(-4*k**3 + k**3 + 2*k**3) - k**5 + 3*k**4 - 3*k**4 - k**5 - 3*k**5 + 5*k**5.\nAnswer: -k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 359982*i*m**2 - 564524*m**2 wrt i?\nAnswer: 359982*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 47*r**5\/2 - 201*r**2 + 436*r. Find the first derivative of u(x) wrt x.\nAnswer: 1410*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 r when three letters picked without replacement from {r: 1, s: 2, t: 3, i: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q**5 + 17*q**2 - 29*q**2 + 12*q**2 - 5*q - 6*q**3 wrt q?\nAnswer: 80*q**3 - 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-12))\/((-14)\/210*-5). Which is the biggest value? (a) r (b) -2 (c) 6 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.822 times 0.6\nAnswer: -3.4932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39852 is divided by 107?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 10532898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*m**2 + 2*m**3 - 10*m**2 + 2*m**4 - 8*m**2 - 2 as b + x*m**2 + a*m**4 + f*m + c*m**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - h - 3*h**2 - 5 - 8 + h**3 + 17 + 10*h**4 to r*h**3 + i + g*h**2 + f*h**4 + o*h and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**2\/2 + 2*z - 3. Let n be h(7). Let r(c) = c - 1. Let l(f) = 2*f - 4. Let p(g) = -3*l(g) + 8*r(g). Calculate p(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - (-1 - -1)) + -1. Let v be (t\/12)\/((-2)\/72). Let u be 3\/2 + v\/4. Solve -2*m - u = 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2896?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104*z - 179*z - 6*z)*(-39 + z + 39).\nAnswer: -289*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 16 = -5*d + 4*a, 4*d = -2*a - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 1467460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -n + 11, 2199 = 4*n - 5*j + 2207 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d - 26*d + d**2 + 14*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o**2 + o. Let i be w(-2). Let u = 74 - i. Let n = -36 + u. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1190 and 1778200?\nAnswer: 12447400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 398*m*o**2 - 3*o**2 + 8*o wrt m?\nAnswer: 398*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/27)*((g\/g**(-14\/3)*g)\/g)\/g)\/(g**(-7)*g**(-17)))**(-4\/21) assuming g is positive.\nAnswer: g**(-3092\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -346213*u**5 - 124323*u - 1.\nAnswer: -6924260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -229 (b) 3\/7 (c) 0.009 (d) -4 (e) 4 (f) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (3 + sqrt(1008) - sqrt(7)) + (sqrt(63)*-1)**2 - (-1 + (sqrt(175))**2 + (sqrt(84)\/sqrt(3))\/sqrt(4) + sqrt(7)).\nAnswer: -108 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3 + 245823*m**2 - 15107359743*m + 15107113921 = 0. Calculate m.\nAnswer: 1, 122911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + -5)*6)**2.\nAnswer: -2880*sqrt(13) + 30852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, -1\/4, 689858?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55803136 to the power of 1\/2, to the nearest integer?\nAnswer: 7470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 5*l + 5. Let i be r(5). Let v = i + 1. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/1640151 and 17\/90?\nAnswer: 16401510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - f**2 + f + 7. What is the remainder when b(0) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1 = 2*p - 10, 0 = -5*p + 3*m - 25. Let g(c) = -5*c + 1. Let x be g(p). Calculate the highest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*g + 25, 3*o - 21*g + 17*g = -8. Let x = -25.8 - -26. Which is the nearest to -0.036? (a) o (b) 0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -101040310 to the nearest one hundred thousand.\nAnswer: -101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95*h**4 + 76*h**5 - 95*h**4)*(-3 - 5 + 6 - 5 + 4 - 1 + (0 + 4 - 3)*(-4 + 0 + 3)).\nAnswer: -380*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + (3*sqrt(112) - sqrt(112) - sqrt(112)) + 3)**2*-3 + -5 + ((sqrt(252)*4)\/sqrt(9))**2.\nAnswer: -928 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -22. Let u be (-15)\/q*4\/15. Is u at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -563439 * 0.14\nAnswer: -78881.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x - 2998 + 8798 = 0. Solve 218 - x = 12*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 1.32.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m**2 - 4*m**2 + 26*m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -223?\nAnswer: -2453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1059 + 951 + 3456*r + 267 + 762 + 17 with respect to r.\nAnswer: 3456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from viiviiiiiiv?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 3*r**2 + 5. Let c be b(3). Let l be (-3)\/c - (-6894)\/90. What is the greatest common factor of 19 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 70022*d - 140038*d + 70020*d. Let g(s) = 429*s**2. Determine l(g(a)).\nAnswer: 1716*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*s**4 - 388*s**3 + s**5 - 14*s**4 + 388*s**3 + 121*s wrt s.\nAnswer: 20*s**3 + 144*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeqx when four letters picked without replacement from xrxqyue?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*7*(-10)\/(-35). Let o(d) = d - 2. Let l be o(5). Let a(j) = -h*j + 7 + l*j - 2*j + 4*j. Calculate a(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2394031, -4788061, -7182091, -9576121?\n\"Answer: -2394030*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 5*p - 206 = 0, 0 = -3*h + 114*p - 116*p - 68 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*t - 2*t - 51, 0 = 3*i + t - 37. Suppose i = 2*f + 2. Solve -1 = 5*v - f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 166718 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-645)\/130 + 5 + 0.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 6. Let x be m(7). Suppose 4*f = 2*l + 8, -4*l = x - 17. Suppose -5*g = 3*w + 3 - 56, f*g = -4*w + 76. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -426923635*n**4 + 8*n - 32974367?\nAnswer: -5123083620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -12*1\/(15\/(-9770)).\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 - 16426?\nAnswer: -16464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -4*c - 19. Suppose -3*q - 20 = -c. Let r = 21 + -9. What is the smallest common multiple of q and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -54, -128, -232?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -4, 4, 2 in ascending order.\nAnswer: -28, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 + 4*k + 1. Let q(y) = -2 - 2*y**2 + 5 + 4*y - 2*y**2 - 2. Let p(b) = -2*q(b) + 3*z(b). What is the remainder when p(2) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-14)*(-5)\/(90\/48)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*l**4 + 4791240*l**3 + 119561201859*l**2 - 59781499290*l + 7472724843.\nAnswer: 3*(l + 49909)**2*(4*l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**5)\/w**(-7)*w**0\/(w*w*w**(1\/4)))\/((w\/(w*w**(-2))*w*w)**(11\/2))**22 assuming w is positive.\nAnswer: w**(-1885\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1. Let c = 9 - 8. Let w(d) = d**2 - 4. Let l(j) = c*w(j) - 4*x(j). Let m(z) = 2*z. Determine l(m(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 11:42 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f = 53 + 43. Let k(g) = 9*g**3 - 16*g**2 + 4*g + 33. Let d(h) = 7*h**3 - 15*h**2 + 6*h + 32. Let a(u) = f*k(u) + 5*d(u). Determine a(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -1)\/((-1)\/2). Let t = 16 + d. Calculate the lowest common multiple of (-1 - -7)\/(9\/t) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 27556*n + 6*n**2 - 27557*n + n**3 - 2*n**2 - 6*n**4 + 2 as t*n**4 + h*n**2 + m + p*n + k*n**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26, -45, -76, -125, -198, -301, -440?\n\"Answer: -q**3 - 12*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 165, 42\/655.\nAnswer: -4\/5, 42\/655, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.91 - -0.71. Let z = 162.55 + -162.7. What is the nearest to z in g, -5, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p. Let n = -6 - 0. Let u be ((-2)\/n)\/((-2)\/6). Let d be (-6)\/9*(u + 4). Determine x(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*a - 95 = 0, 5*r + 4*a - 88 - 16 = 0. Let c(y) = 20*y + r*y - 3*y**2 + 4*y**2 - 34*y. Give c(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-78)\/(-4))\/(-13)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-113)\/(-39) - (72\/143 + 3885\/(-14245)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -493316158?\nAnswer: 493316160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 229*h**2*v - h*v**3 + h*v + 3073*v**3 wrt h.\nAnswer: 458*h*v - v**3 + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 0 + 28*y**2 - 3 + 2. Let t be f(-1). Suppose 0 = m - t - 40. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1495080676 - -0.0164073\nAnswer: -1495080675.9835927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -625300 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1409 is divided by 76?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 114298 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*h - 52, -9*h - 19 = -10*h - 2*j. What is the smallest common multiple of 334 and h?\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/((-437)\/152) + ((-126)\/(-4))\/(-9). Factor 0 - 21\/4*s**2 + m*s + 3\/4*s**4 + 0*s**3.\nAnswer: 3*s*(s - 2)*(s - 1)*(s + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbshkkkkskfkkkkbk. Give prob of picking 1 b and 1 s.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b - 7. Suppose -6*x - 6 = -42. Let v be k(x). Suppose -5*z = v*o - 40, -5*o + 2*z = -o - 38. What is the least common multiple of 11 and o?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 5347877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -68\/23, 5 in ascending order.\nAnswer: -68\/23, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -17 - 14 + 0*s - 2 - 3*s. Let f be b(-11). Let j(n) = n + 8. Let o be j(f). What is the highest common factor of 72 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*s - 5 = 30, 2*s = 5*d. Solve -4*r - 3*a = 25, -r + 1 = -d*r + a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1ba (base 15) to base 3\nAnswer: -112211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -1\/4, -21, -1220, 0.55, -1.9?\nAnswer: -1220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 67, -3, 1, 0.3, 114\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 76039\nAnswer: 4\/76039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -15.02. Let n = 0.05 - c. Let a = n - 0.005. Round a to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 207 - 172 = 0. Put 3, 2, x, -5 in ascending order.\nAnswer: -5, 2, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479047.\nAnswer: 19, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.2*-0.5.\nAnswer: 14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 683651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 112884218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-20) - 2476\/(-16). Suppose 4*x - 7*x - 3*l + 117 = 0, -4*x + u = 3*l. Solve 0 = -5*r - x + 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -261712?\nAnswer: -261712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from vqtgqzzoqoozvoooqo?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1823410041.1 rounded to the nearest 1000000?\nAnswer: -1823000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Put 0.2, 7, 2, o in decreasing order.\nAnswer: 7, o, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**2\/2 + 11. Let x(o) = 19*o - 19*o + 11*o**2 - 2*o**2. Calculate x(d(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 855 divide 83350530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3078883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-317)\/((-117924)\/4216)*-12?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -11. Suppose -l + 2*b = -6, h*l - b = 1 + 74. Is 6 a factor of 8*2\/(l\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 + 4*r. Let h(n) = -n. Suppose 25*w = 27*w + 2. Calculate w*g(y) - 4*h(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + 4*i**2 - 9*i**2 + 24*i**4 + 4*i**2 in the form c*i**4 + x + f*i + h*i**2 + z*i**3 and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 9:08 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.26 and -0.6?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -0.113 (c) 0.5 (d) 1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129385 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6713 - -6689. Which is the fourth biggest value? (a) -0.1 (b) 1\/4 (c) 2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -977 + 1015. Let a = 108 - 45. Calculate the remainder when a is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkkgkikkkvigbiik. Give prob of picking 1 b, 1 v, and 2 i.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6032032399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*w - w. Is (4\/12)\/(w\/354) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i = 3. Let a be (1 - 0)\/((-2)\/(-26)). Let u = -7 + a. What is the smallest common multiple of u and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 240 + 78 + l + 318.\nAnswer: l + 577","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14 + 11790\/2751. Solve -30 = -u*c + 4*a - 6, -5*a - 9 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 56*q + 36. Let o be a(5). Let t = o + -180. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 3*b**2 + 2*b - 4. Let m be r(3). Suppose n + 7 = 4*x, -2*x - m*x + 20 = 0. Calculate the remainder when 51 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 13 = 2*i, 2*i - 6 = 5*u - 1. Let z(w) be the first derivative of 86\/3*w**3 + 8*w - 2\/3*w**6 - 73\/4*w**4 + 28\/5*w**i - 22*w**2 - 4. Factor z(d).\nAnswer: -(d - 2)**3*(2*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, -1\/6, 8.8, 0.4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1340849039.\nAnswer: 607, 2208977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**5\/20 - 5*k**4\/18 - k**3\/2 + 2*k**2\/3 - 59*k - 6. Factor y(o).\nAnswer: (o - 4)*(o + 1)*(3*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 - 4*v. Let r = 28 - 31. Let n be z(r). Suppose a = q + q - 26, -5*a = q - 2. What is the highest common factor of q and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 50, -10, 2\/3, -3\/7, 0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 697057 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 606 and 2843958.\nAnswer: 2843958","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 14 = 18. Let c(s) = s**3 + 8*s**2 - 3*s - 12. Let h be c(y). Let v = 2 + h. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 6*c - 2. Let t be y(5). Find the third derivative of t*r**6 - 4*r**6 + r**6 - r**2 - 5*r**6 wrt r.\nAnswer: -600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (-23 - (-1 - -2)). What is the highest common divisor of u and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-2)*(-426)\/(-355). Let k(q) be the second derivative of 0 - 1\/24*q**4 - 1\/16*q**2 + 3*q + 1\/12*q**p. Find y, given that k(y) = 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101963095 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - (-119)\/14)\/(1\/2). Let c be (-2)\/(-9) + (5 - (-237)\/w). Suppose o - 43 = -x, -2*x - c = -o + 35. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/6)\/(t\/(((t*t**(-2\/15))\/t*t)\/t)))\/((t**(-3\/4)*t)\/t)**(-14\/3) assuming t is positive.\nAnswer: t**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -13*c. Let y(m) = -365*m. Calculate -170*x(o) + 6*y(o).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(168\/30 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*u - 10 + 46, 0 = -4*n - 16. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366452 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 19) + 153\/(-45) + 7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -3, 10.7 in descending order.\nAnswer: 41, 10.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 140*m**2 - 304*m**2 + 148*m**2. Let r(t) = -2*t**2. Calculate r(x(c)).\nAnswer: -512*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -5*g. Solve 0 = -g*w + 5*w - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8 + (-5)\/((-40)\/106). Suppose v*a - 297 = 4*a. Calculate the least common multiple of 21 and a.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2907 and 29427.\nAnswer: 1677339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-21))\/((-27)\/162).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 12*b + 11*b + 5, -4*q + 25 = 27*b + 46*b + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -913074395 + -9623?\nAnswer: -913084018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/58 and 151\/1170.\nAnswer: 33930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0 - 3) + 32. Suppose j = 5*z + 3*q - 6*q, -3*q = -2*z + 21. Let c(l) = -l - 2 + 4 - z. Determine c(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 1256*p**3 + 1301*p**3 - 5*p**2 + 27 - 2350*p**3 - 16 to the form u*p + m + c*p**2 + o*p**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**4\/t*t*t)\/t*t))\/t)**(-50)*(t*t**(-4))**(7\/2) assuming t is positive.\nAnswer: t**(479\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 0*q**3 + 2*q + 0 + 1\/3*q**4 + 0*q**2 - 1\/20*q**5. Let k be z(4). Is -0.1 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/sqrt(3) - (sqrt(5)*2 + sqrt(5))*-6 - sqrt(55)\/(sqrt(11)*-1)*3*-6)**2*-1.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -20*p - 1. Let y(j) = j**3 - 18*j**2 + 16*j - 59. Let o(i) = 2*i**3 - 1. Let n(g) = o(g) - y(g). Let s be n(-19). What is t(s)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 28, -70.\nAnswer: -70, -11, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*a + 5*z, 4*a - 5*z - 16 = 3*a. Suppose 6*o = 25 + a. What is the lowest common multiple of o and ((-30)\/(-4))\/(3\/6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*y = 0. Suppose y*s + 4*s = 4. Let b(x) = -2 + 3*x - s + 2. Determine b(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7818880256 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1149786 and 4024251.\nAnswer: 8048502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 17*m**3\/3 - 2*m**2 + m - 3. Let h = 0 + 4. Is u(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 3*h - 34, -2*h - k + 5 + 6 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -114*q - 9224. Determine f(-81).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -75510 + -7454?\nAnswer: -105164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 13 = 16*n. Let i(j) = -2*j**2 - 2*j. Let u(s) be the second derivative of -s**3\/6 + 2*s. Calculate n*i(m) + 2*u(m).\nAnswer: -2*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhvhhhhhhvhh. What is prob of sequence vh?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2130, 450, 4750, 10770, 18510, 27970?\n\"Answer: 860*w**2 - 2990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 - 10 - 4\/(-2). Let g(s) = 129*s**3 - 2*s**2 - 2*s + 3. Let x be g(1). Let o be 1 - 5 - x\/(-40). Put -2\/9, o, u in ascending order.\nAnswer: o, -2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -17*c - 2. Let u(k) = 18*k + 2. Determine 4*g(f) + 5*u(f).\nAnswer: 22*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6986.962 + -6976. Let w = -11 + g. Round w to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.024 + -0.028. Let o = -0.096 + s. Which is the nearest to o? (a) -1 (b) 2\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1200)*-4)\/(sqrt(12)\/(sqrt(10)\/sqrt(125))).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12399419054 + 329650954864705\/26586. Let j = -4\/1477 - n. What is the common denominator of j and 0 - (0 + (-16)\/(-9))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 1\/9 (b) -16 (c) -0.4 (d) -0.3 (e) -38.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3065, -3058, -3039, -3002, -2941?\n\"Answer: x**3 - 3066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9242 or 0.1?\nAnswer: -9242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23885131 to the power of 1\/3, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 2*m**2 + 5*m - 3. Let j = -219 + 222. Determine x(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2486445 and 33\/17416.\nAnswer: 139240920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 135 and 0.02.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13355743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y + 0*y + 0*y + (-1 - 3*y + 1)*(0 - 1 - 1) - 5*y + 4*y + 2*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -886, -1774, -2662, -3550, -4438, -5326?\nAnswer: -6214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 2 - 2)*(-13*s**3 - 11*s**3 + 17*s**3).\nAnswer: 14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3 - 24) + 49 + 9 + -3.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -2) + 2 + -8 + (7 - -23)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-30)*2\/2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/2)*p)\/p*p*p*p)\/(p\/p**(-5))*((p**1*p)\/p*p)**3*(p**8\/p**(-14))**(-1\/9) assuming p is positive.\nAnswer: p**(19\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 242 - -20253?\nAnswer: 20535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*(-5400)\/432.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5044191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 1, -16, 3, 16 in ascending order.\nAnswer: -16, -4, 1, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -164246 and -630.\nAnswer: 103474980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331078*s**2 - 331074*s**2 + 662150*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5738350, 11476659, 17214968, 22953277, 28691586, 34429895?\nAnswer: 40168204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + b - 1108 = 0, 2*w - 3*b - 736 = -b. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 - -0.033.\nAnswer: -17.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 538.5 take away 1410?\nAnswer: -871.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000066151052 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + sqrt(200) + sqrt(200) + (sqrt(200) - ((sqrt(200) - (sqrt(200) + 4)) + 3)**2) + (-4 + 3*sqrt(200) - (3*(1 + sqrt(200)) - sqrt(200)))**2.\nAnswer: -110*sqrt(2) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -33534132 (base 6) to base 12\nAnswer: -414348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 1445 = -8*z + 33*z. Sort z, -5, 0, 2 in ascending order.\nAnswer: -5, 0, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(3\/4)*u)\/(u*u**(-2\/15)\/u))\/(u**7*u\/u**(-7\/4))*(u*u**2*u*u\/(u\/(u\/(u*u*(u\/(u**(-6)\/u))\/u*u))))\/((u\/u**2)\/(u**(-2\/9)*u)) assuming u is positive.\nAnswer: u**(-454\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -5011316?\nAnswer: 5011324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -11*v**2 - 1. Let h(y) = -2*y**2 + y + 1. Let i(g) = 4*h(g) - k(g). Let z be i(0). Which is greater: 1\/9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (sqrt(637) - (sqrt(637)*2 + 5)) + -1).\nAnswer: 27 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1294, -0.4, -3916?\nAnswer: 1294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45.14 + -29.72. Let h = -94.838 - w. Let n = -20 - h. Round n to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3594 - -3597. Put -1, 2, -3, m, 7 in ascending order.\nAnswer: -3, -1, 2, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 42*i**3 + 44*i**3 - 12.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b1 - 2?\nAnswer: -2b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**2 - 319150*f - 5092836125 = 0.\nAnswer: -31915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -3797?\nAnswer: 3798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4201717 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 23. Give v(-35).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 48.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098642 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5206 - -270715\/52. Let n = -5\/32 + 9\/32. Sort 0.4, v, n in decreasing order.\nAnswer: 0.4, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 8 + 1 = -a + 5*k, 2*a - 117 = k - 103 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 - 3*s**4 + 0*s**3 + (3*s**3 - 6*s**3 + 2*s**3)*(6*s - s + 7*s) to the form w*s**4 + t*s + q*s**2 + o + i*s**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 2750\/91 - 102\/(-119).\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -1 + 6)*4. Let a be (0 - -6) + (-56)\/((-16)\/(-4)). Let x = a + i. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, l: 1, f: 5, s: 3}. What is prob of picking 3 f and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.14442 rounded to two decimal places?\nAnswer: -13.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.19 + 4.91. Let x = 28 - 25.3. Let q = x - s. What is the biggest value in 0, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -176, -1\/26 in descending order.\nAnswer: 0.5, -1\/26, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggqg. What is prob of sequence qggg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 7*n**2 - n + 1. What is j(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2556*n + 372 = -2680*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 16*o**2 + 11*o + 57. Give p(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kayooyyeomoaaakykko. Give prob of sequence mae.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, 10, 21, 1, -1574, 0.\nAnswer: -1574, -11, -2, 0, 1, 10, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -10*r + 1728. Let l(z) = 3*z. Calculate l(f(b)).\nAnswer: -30*b + 5184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q + 4. Let s(m) = 20*m + 11. Let z be 5\/15*-13 - 1\/(-3). What is z*s(c) + 11*t(c)?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 667051 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5480.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**6\/72 + r**5\/24 + 5*r**4\/12 + 3*r**3 + 5. Let k(h) be the third derivative of i(h). Suppose k(m) = 0. What is m?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 5*t**2 - 8*t - 16. Let i be b(7). Let o(y) = -i + 12 + 130*y + 13. Is o(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25\/1214 + 1845455\/8498. Let v = 218 - t. Let m be (-4)\/(-36)*-103 - -11. Which is the closest to -1? (a) m (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83539 divided by 56?\nAnswer: -83539\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 5:14 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -15, -3*b + 52 = 4*n + 43. Which is bigger: b or -7\/503?\nAnswer: -7\/503","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116712 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 3 + 3 - ((6 - 0) + -13)) + -53.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27\/2 - 185\/14. Let q = -16 + 12. Which is the nearest to w? (a) 5 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78507?\nAnswer: 3, 11, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 2\/3*w**3 - 3*w - 1\/2*w**2 + 1 - 1\/3*w**4. Let n(h) be the first derivative of f(h). Determine r, given that n(r) = 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 0 + -13 + 7429219. Suppose -3*d + 4*j - 50187615 = 0, 0*j - 5*j = 0. Let l = d + b. What is l rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -15 - 1. Suppose -1 + 1 + h - u + u**2 - 3*u = 0. What is u?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6204*j**2 - 1 + 2*j - 9150*j**2 + 5115*j**2 as o*j + v*j**2 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 33, 65, 113, 183, 281, 413?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 2*b, 3*b + 3 + 7 = -8*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**2*z**3 - 2212*g**2 + 1594*g*z**4 wrt z?\nAnswer: -6*g**2*z**2 + 6376*g*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.41 + -0.11. Round r to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 4 - 8842*w**2 - 6.\nAnswer: -8842*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/52 - 5908\/10972.\nAnswer: -21\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7341 - 2337. Let c = -2587 + v. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326416205?\nAnswer: 5, 31, 2105911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 136103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**6\/3 - 22*m**5\/5 - 490. Factor i(s).\nAnswer: 2*s**4*(s - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -13 + 8 + (17 - -3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90912.22 micrograms in tonnes?\nAnswer: 0.00000009091222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n - 15. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 255264?\nAnswer: 255264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2262 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25685.8 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 179*y**2 + 17*y - 39. Let k(s) = 181*s**2 + 18*s - 40. Let w(z) = -2*k(z) + 3*l(z). Is w(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 0.7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0395 - 0.1895. What is the closest to x in 0.1, -0.2, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 8*w**2 - 9*w + 2. Let d be h(9). What is l in 7*l**2 - 6*l - 3*l**2 - d*l**2 = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + 7 + -10 - (7 - (-1 - 2)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 5*v = 2*f - 217, 209 = -4*f - 3*v. Let m(k) = -11*k**3 - 123*k**2 - 35*k - 197. Let t be m(-11). Is t at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 2\/27, 0.3, -1\/7, 44?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*b**2 + 1 + 9*b**3 + 136*b**2 - 261*b**2 to the form x*b**2 + c*b + w*b**3 + o and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -299.61 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d - 2*d - d**3 + 7 - 3*d**2 - 3*d**2. Suppose -10 = n - g, -4*g - g + 40 = -3*n. What is the units digit of p(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 16. Solve -l - 4*g + 8 = -0*l, -3*l + 4*g = -x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109 - t**2 + 4*t + t**3 - 106 - 11*t**4 + 3*t**2 to p*t + z + s*t**4 + m*t**3 + q*t**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5 - 445578*i**4 + 1782290*i**3 - 2227854*i**2 + 891140*i = 0. What is i?\nAnswer: 0, 1, 2, 222785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 6.5. Let q = 6.1 - h. Sort 2, 0.5, q in ascending order.\nAnswer: q, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -52*x - 1. Let g be l(-1). Suppose g = 4*k - k. Let f(m) = -k*m + 0 - 14 - 5*m**2 - 9*m**2. Let p(w) = 5*w**2 + 6*w + 5. Calculate -6*f(a) - 17*p(a).\nAnswer: -a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/(h\/h**(-10)))*(h*h**4)\/h)**(13\/4))**11 assuming h is positive.\nAnswer: h**572","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 201960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/3 at least as big as -250670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 6*y - 4. Let f be n(-4). What is the third derivative of 2*b**4 + 2*b**2 + 0*b - 4*b**f + 0*b wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j - 22. Let z = j - -16. Let p(f) = -4*f + 11. Let w(o) = o - 3. Give z*p(g) - 22*w(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2*x + 8)*(13*x - 10*x + 20*x) + 0*x**2 + 2*x**2 - x**2.\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -259875*o**2. Let y(i) = -5*i**2. Calculate y(n(d)).\nAnswer: -337675078125*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-4)\/(-3)*-3. Suppose -124*s + 100 = -520. Solve s - x = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14411 = -2*w - 21*d, 2*w + 3*d - 3988 = 10369. Calculate the highest common factor of w and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (sqrt(72) + (sqrt(72) - (sqrt(72) - -2*sqrt(72) - sqrt(72))) - sqrt(72))*-2)\/((2*sqrt(32)\/sqrt(4))\/sqrt(2)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + 7*y**3 + y**3 + (3*y**2 - 6*y**2 + 2*y**2)*(-4*y - 2 + 2) + y**3 - 2*y**3 + 0*y**3.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 228?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 28, 4, 1\/5, -1.67?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 755 and 1669909?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24592093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*j - 19 - 24 + 12*j + 44.\nAnswer: 71*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 12:40 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y + 6. Let b(r) = -r**3 + 49*r**2 + 79*r + 1167. Let o be b(51). Let j(u) = -6*u + 5. Give o*j(n) + 5*x(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 198.56112784 to two decimal places.\nAnswer: 198.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 119 = -4. Suppose -4*x = -2*a - 16, 4*x - 5*a = r - 13. What is the second derivative of m + m**2 - x*m**2 + m wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*b + 9 + 96*b - 55*b to the form r*b + z and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -13*h - 723. What is f(-88)?\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 75\/4 of a millennium?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 + z**3 - 5 - z**2 + 4*z**2 + 10 - 7*z. Let w be x(-7). Suppose -b + w = 0, -2*m + 75 = b + 2. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 17 + 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 1) + 12 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, e: 9}. What is prob of sequence aea?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**2 + 31. Suppose -3 = 4*h - 5*h. Determine j(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1194784, -1194518, -1194252, -1193986, -1193720, -1193454?\n\"Answer: 266*u - 1195050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + 23. Let d = 1 + l. Suppose 18 = 4*n - d. What is the remainder when 46 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -4, -0.2, 0, -373, -33\/17 in descending order.\nAnswer: 1\/2, 0, -0.2, -33\/17, -4, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -74*d - 14. Let z(u) = -25*u - 5. Calculate -6*h(l) + 17*z(l).\nAnswer: 19*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 7 = -4*p, 5*p - 7 = 3*g + 3*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -304*d + 2948 - 212. Suppose 0*h + 237 = 3*h. What is the remainder when h is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1216 - -2844. Suppose a = 4*c + 188. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*-3*sqrt(99) + sqrt(99) - sqrt(99)))\/(-2*(sqrt(27)\/sqrt(243) + sqrt(9))).\nAnswer: -81*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from eeeezezzavzeezae.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/3)\/((-68)\/10098). Let f(a) = a - 11. Let v be f(11). Does 32 divide x - 5 - (1 + v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 5335679790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 330*y + 5. Let d be j(-1). Let l = d + 221. Let a = l - -122. Calculate the smallest common multiple of a and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 69 + 3294*x - 33 - 15189*x to o*x + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 9*l**2 + 45*l + 44. What are the prime factors of y(14)?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**4 - 384*j**3 + 693*j**2 + 7884*j + 6804 = 0.\nAnswer: -3, -1, 6, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004848608 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/10 + 361703\/95 + 14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*((sqrt(132) - -2*sqrt(132)*-2) + sqrt(132))\/(sqrt(11) + sqrt(891)*-2))**2.\nAnswer: 40*sqrt(3)\/17 + 7273\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 + -60. Suppose 3*w = -s + 4, -7*w + 3 = 2*s - 6*w. Which is the closest to s? (a) y (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2531186 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(55\/(-30750)) - -4. Let y = -3409 - a. Suppose -y = s - 8*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/10175 + 20356\/30525. Let k = 1 - -3.7. Put -2, k, 5, x in descending order.\nAnswer: 5, k, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22.708*0.48\nAnswer: -10.89984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19352 + 19162. Which is the nearest to -2\/13? (a) 5 (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s = 10*s + 495. Suppose p - 66 = -s. Calculate the greatest common factor of p and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11 - -7.11. Let m = r + -6.6. Suppose 0 = -2*z + 5*z. Which is the biggest value? (a) -0.5 (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18616 and 728.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7 = -29. Let c = t - 5. Suppose 0 = x + c*q, -x + 5*q = 4*q. Solve y + x*y = 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 10:37 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 714 + -711. Calculate the least common multiple of 228 and x.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3130315.5 from -3.5834.\nAnswer: -3130319.0834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98.155 + 0.755. Let l = w - -86. Let y = l + 2.6. Round y to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394895600 to the power of 1\/3, to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 minus 2.28?\nAnswer: -2.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137423\/42284 - (-3)\/(-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**2 + 8*x + 4*x**2 - 9 - x**2 + 0. What is o(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (-39 - (-40 + 50) - 30).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 624 + 628 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 x when three letters picked without replacement from xuuxtxtxxttu?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 99*t + 65*t - 134*t + (2 + 5 - 3)*(5 - 5 - 2*t).\nAnswer: 22*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 129*q**2. Let y(h) = -h - 18. Let z(i) = -7*i - 70. Let t(f) = 4*y(f) - z(f). Calculate x(t(j)).\nAnswer: 1161*j**2 - 1548*j + 516","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69155, 69159, 69161, 69161?\nAnswer: 69159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-27) + 8523\/81. Suppose -5*s + 5*g - m = 0, 4 = 5*g - 3*g. Is -19 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (6 + (-17 - -9))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4054692 and 9?\nAnswer: 12164076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28860 (base 10) to base 8.\nAnswer: 70274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.5 - 33. Which is the fourth biggest value? (a) -20 (b) 1 (c) -0.3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 3*h + 303 = 271, -5*y - 2*h = -28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from {o: 1, q: 1, h: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 804 divided by -6.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -4*g + 13. Let p be 8\/(-20) + (792\/30)\/(-4). Let n = p - g. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238\/3 - (161\/(-21) + 8)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/4 - 8643\/(-516). Which is smaller: z or 19\/15?\nAnswer: 19\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 35572905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 598272.5mm to nanometers.\nAnswer: 598272500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/125 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -11. Let h = 61 - -49. Let i = h + -108. Which is the nearest to i? (a) 1\/5 (b) -0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 5*w**2 - 6*w + 4. Give p(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 756 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + z + 2 = -2, 3*j - 102*z = 96*z - 232*z - 470 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 5*g - 39. Let p be c(4). Suppose p*d - 18 - 8 = 0. Solve -d*j + 3*j - 3 = -3*z, -5*z + 5 = -2*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/6)\/(((-1147)\/(-333))\/(-31))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**2\/2 + 4*r - 6. What is m(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 670, 1555, 2484, 3457, 4474, 5535?\n\"Answer: 22*w**2 + 819*w - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - d28b4?\nAnswer: -d28b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-28) - 14\/(-147).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241842.21ns in minutes?\nAnswer: 0.0000040307035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 + 1.2. Let m = 829 + -788. Is m less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g - 40786 - 38432 = 0. Suppose -2938 = -5*y - 10*l + 13*l, -5*y + g = -4*l. Is 25 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-10) + 96\/15. Suppose 0 = -a + y + 26. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/14*(-455)\/390 + 6\/4\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (35 - (10 + 37 - 12)) + (0 - 1 - -15)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 291, 28, -2, -1\/3, -1\/40?\nAnswer: 291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/131742 and 7\/263484.\nAnswer: 263484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 3 + -44 + 7. Let j = 28 + v. Let l(m) = 2*m - 2 - m + 3. What is l(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 2, 3, -3.7?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(120) - sqrt(30))\/sqrt(6).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 17 = -4*f, -5*x - 21 = -22*f + 19*f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -18. Let i = -7 + 4. Let p = -3 + i. Let u(x) = -6*x**3 - 5*x**2 + 7*x + 1. Let s(q) = 7*q**3 + 6*q**2 - 8*q - 1. Calculate p*u(k) + y*s(k).\nAnswer: k**3 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + q - 179 = 0, 12*w + 2*q = 14*w - 138. Calculate the highest common factor of 5518 and w.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9482 is divided by 211?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -74, -78?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028441444 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6309, -25249, -56819, -101019, -157849?\nAnswer: -227309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 3686532.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 99*i**2. Let g(z) = 2*z**2 - z - 1. Let b(w) = -51*w**2 + 27*w + 27. Let o(j) = 2*b(j) + 54*g(j). Determine o(l(r)).\nAnswer: 58806*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**8\/1680 - k**5\/120 - k**3\/6 + 3*k. Let b(p) be the second derivative of x(p). Find the second derivative of b(c) wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f**2 + 6*f - 236. Let x be r(24). What is the greatest common divisor of 116 and x?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(28) - (2*sqrt(700) + sqrt(700) + sqrt(700)))\/(sqrt(44)\/(sqrt(22)\/sqrt(2))).\nAnswer: 76*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**3 - 2*q**2 + 2*q. Let b(u) be the third derivative of -11\/20*u**5 + 11\/8*u**4 + 0*u + 0 + 2\/5*u**6 + 0*u**3 + 32*u**2. Give 4*b(x) - 66*g(x).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrrlhcach. Give prob of sequence wcac.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*z + 5*g - 2*g, 5*z + 5*g = 45. Let d = -6 + 10. Solve -z + d = r + 3*c, -4*c = 2*r + 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -733\/8 greater than or equal to -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245)*1 + 3 - sqrt(245)) + 3*(sqrt(245) + 2))*-3*-4)**2.\nAnswer: 54432*sqrt(5) + 329184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -194, -212, -256, -338, -470?\n\"Answer: -2*f**3 - f**2 - f - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -374\/615 - -1\/123. Let l = -382.7 - -346. Let s = l + 37. Which is the nearest to -2\/7? (a) -2 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 h when three letters picked without replacement from figihiihhihgi?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 + 60.048. Let y = g - 0.108. Which is the fourth smallest value? (a) 0 (b) -3\/5 (c) -4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 12\/29, 949, -2?\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93004288\/3407 + 27298. Is i greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 4330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 1:14 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32142049, -32142054, -32142069, -32142100, -32142153, -32142234?\nAnswer: -32142349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 565 - 100. Suppose x = 5*m - 60. Let v(k) = -2 - m*k + 0 + 30*k. Give v(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 11:45 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7*755678\/(-23133)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*o - 5*y - 47, 4*y + 42 = -2*o. What is the units digit of (-5909)\/o + (70\/(-22) - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2873*i**4*w + 2*i**3*w**3 + 2*i**2 + i*w**3 - 2*w**3 + 1 wrt i.\nAnswer: 68952*i*w + 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-708)\/(-5664)*16\/31\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1663898.\nAnswer: 8319490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -256 + 261. Let i be 9\/36 + (2 - 878\/392). What is the closest to i in x, -1\/4, 1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*(m*(m\/(m*(m**(1\/9)\/m)\/m))\/m)\/m)\/(m**(-14)\/m))**(-4\/13))**(7\/3) assuming m is positive.\nAnswer: m**(-4508\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2467, 4937, 7407, 9877, 12347, 14817?\nAnswer: 17287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose 0 = 3*f - 0*f, 4*o = -5*f - 16. Sort r, o, 3 in increasing order.\nAnswer: o, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*y + 20, 3*y + 8 = 2*r - 0*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 10. Determine b(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11340 (base 5) to base 11.\nAnswer: -6a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24371280 divided by 541584\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5793437?\nAnswer: 13, 445649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3\/(-2))\/(8\/(6528\/(-18))) is divided by (-138)\/4*(-4)\/6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 182142680*r**2 - 2*r. Let z(n) = n**2. Determine u(z(x)).\nAnswer: 182142680*x**4 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011011011 (base 2) to base 4.\nAnswer: 23123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 12*u**2 - 6*u. Let i(r) = -2*r + 3. Determine i(c(w)).\nAnswer: -24*w**2 + 12*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 611, 939, 1291, 1673, 2091?\nAnswer: 2551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -9 - ((-2 - -3) + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 1. Let f(t) = 16*t + 24. Let r(n) = f(n) - 24*p(n). Let x(s) = -4*s**2. Determine r(x(j)).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 34215*o**4 - 3284650*o**3 + 6467595*o**2 - 3218100*o + 940 = 0.\nAnswer: 2\/6843, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 7*a - 6*a)*(-6 + 10 + 6)*(0 - 2*a + 0).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 304341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v + 480. Let j be ((-12)\/(-10))\/((-36)\/v). What is the greatest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.6 + -31.1. Let p = j + 13.500222. What is p rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*u + 5*k, -4*u - 2*k + 0*k = -58. Suppose -f = 3*i + u, f - i = 4*i + 20. Solve 2*x - x - 2 = f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = -15 + 57. Solve 2*z - 5*a = -t + 1, -3*z - 3 = -4*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-87)\/15 + (0 - -3). Which is greater: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028524 is divided by 49?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**4 - 2*b + 4. Let k(n) = -6*n**4 - 3*n + 7. Let q be 50\/(-8) + (-6)\/8. Let c(a) = q*x(a) + 4*k(a). What is the second derivative of c(t) wrt t?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6780933 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -426.74831 rounded to the nearest ten?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-6) + -2 - 133\/(-84).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 315785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b*k**2 + 418*b*k - 2*b*n - 57*k**2*n**2 - k*n**2 wrt n?\nAnswer: -2*b - 114*k**2*n - 2*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 141690755 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 205?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 7:14 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z**2 - 8*z. Let h(w) = -275*w**2 - w - 1 + 276*w**2 + w. Let g(j) = j - 8. Let y be g(7). Let m(o) = y*q(o) + 6*h(o). Give m(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 1\/10, 0.4, 126, -0.2 in decreasing order.\nAnswer: 126, 24, 0.4, 1\/10, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-3))\/((-12)\/42*7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*a**3 - 146*a**2 - 140*a**2 + 286*a**2.\nAnswer: 231*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.8 + -7.8. What is the third smallest value in -2\/3, -0.2, m, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011110 (base 2) in base 16?\nAnswer: -5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/2 - 155*p\/2 - 12397 = 0. Calculate p.\nAnswer: -98, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 380890622 divided by -27206473\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f + 1. Suppose 5*d - 18 = 2*o, 2 = -2*d + 2*o + 8. Let j be u(d). Suppose -b + j = -25. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 72572 (b) -2\/3 (c) -5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 398 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 855443.1 nanograms?\nAnswer: 855.4431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-1915)\/(-25) - 6\/10. Let k be 200\/c*(0 - (-144)\/2). What is the greatest common divisor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -343*h**3 + 297*h**2 - 78*h + 11. Let y(o) = 686*o**3 - 593*o**2 + 158*o - 21. Let z(m) = 5*s(m) + 3*y(m). Factor z(x).\nAnswer: (7*x - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741299930.\nAnswer: 2, 5, 7, 1512857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163 + 447. What is s rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -78094 and -78094 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 2*d**5\/15 + d**4\/24 + d**3\/6 - 2*d**2. Let h(x) = -x**2 - 9*x - 4. Calculate the least common multiple of a(-1) and h(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 149 - 104. Calculate the remainder when 20 is divided by 6\/(-4) - o\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = j - 2*m, j - 2*m + 3*m - 2 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(1\/3)\/y)**(-24)\/(y**10*y**8) assuming y is positive.\nAnswer: y**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15590?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 434 + -432. Let m(j) = 150990*j**2 + 19*j + 2. Let u be m(d). What is u rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 2. Give l(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*-2*(0 + sqrt(5))*2 - (-1 + 3*(-3 + sqrt(20)))).\nAnswer: -30 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**5 - 684*x**4 - 127105*x**3 - 3377946*x**2 + 3762692*x + 7014216 = 0.\nAnswer: -326, -33, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 49*h - 207. What is z(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4773808 a multiple of 767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/(-6) + 4\/6. Suppose -3*y + y = -i. Let n(p) = -3*p + 4. Calculate n(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 5 + (2 - 0 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 11*n**6\/15 - 49*n**4\/12 + n**3\/2 + 236*n**2 + 3*n - 1. Find the second derivative of l(o) wrt o.\nAnswer: 264*o**2 - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from ajjjjjjjja.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 2*u**3 - 8*u**3 - u**4 + 0*u**2 - 21*u - 4 + 19*u + 4*u**3 to the form z + h*u**3 + b*u**4 + g*u**2 + t*u and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 122*v**2 + 110*v - 168812. Determine c(131).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from xxxjjjxxjjxnx?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10830\/17 bigger than 638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*n = -51 + 15, 0 = 3*n + 6. Calculate the remainder when 27 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -7, -15366, -4, -1, -3 in increasing order.\nAnswer: -15366, -10, -7, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = c - 15. Find the second derivative of -2*x + 2*x**3 - 4*x + c*x wrt x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**15\/o))**(-1\/10)*o**(12\/13)*(o*o\/((o\/(o**(-1\/25)\/o))\/o))\/o)**(2\/75) assuming o is positive.\nAnswer: o**(473\/8125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9214447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - 24*f**4 + 25*f**4 + f - 5*f**2 in the form n + q*f**4 + l*f**3 + p*f + r*f**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 1:56 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 917023620.\nAnswer: 2751070860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 543079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172945, 172949, 172953?\nAnswer: 172957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4379628962 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-340)\/935*(-22)\/(-6)*(-6)\/(-34)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 + 44. Let t = h + 79. Is 24 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p + 246 = -65*p - 86 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7765 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.332 + 0.3320436. Round f to six dps.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039347 rounded to 3 dps?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145145 (base 8) to base 5.\nAnswer: -3124223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 439.4 - 588. Let q = -123 - d. Round q to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 20*l**4 + 1 + 8 + (-2 - 4*l**3 + 2)*(-3 + 3 + 7*l) - 3*l**4 + l**4 + 14*l**4 in the form j + p*l**2 + r*l + x*l**3 + u*l**4 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 749251, 1498491, 2247731, 2996971, 3746211?\nAnswer: 4495451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 19, 26, 33, 40, 47?\n\"Answer: 7*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 - 4*h - 6. Let r be v(-2). Solve 2*y - 14 = -3*q + q, -5*y = -2*q - r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/8137 and 43\/395?\nAnswer: 40685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16717257 is divided by 1945?\nAnswer: 1927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 1:23 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 + 78. What is the tens digit of ((-23)\/3)\/(5\/360*s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6139 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -9. What is the highest common divisor of 20 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {m: 1, h: 1, x: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14240 * -14327\nAnswer: 204016480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 1. Suppose 0 = -6*j + 9*j + 29*j + 32. Let y(q) = q**2 - q - 4. Let p = -6 + 4. Give j*y(x) + p*b(x).\nAnswer: -x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -3 + 1 - 1) + (99 + -76 - -33)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -2\/29, 0.\nAnswer: -1\/7, -2\/29, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -408*i**2 - 195840*i + 103. Give d(-480).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141980 is divided by 16899?\nAnswer: 6788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 + (-4)\/12. Let y be 2*(2\/4 - u). Let t be (5411 - 5408) + 160\/(-54). Which is smaller: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -886640 rounded to the nearest ten thousand?\nAnswer: -890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2072*m + 1227*m**3 - 1226*m**3 + 2072*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (108\/126)\/((-3)\/(-21)). Let c(x) be the first derivative of -8\/11*x + 5\/11*x**2 - t - 2\/33*x**3. Factor c(b).\nAnswer: -2*(b - 4)*(b - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1295 and 55389?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/23)*z**(-9\/5)*z)\/(z**(-6\/7))**33)**(4\/9) assuming z is positive.\nAnswer: z**(88784\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y. Let j(h) = -h - 29. Calculate j(z(q)).\nAnswer: 5*q - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -0.3765868?\nAnswer: 41.6234132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -24*w**2 + 33. Let z = 28280 + -28276. Let x(f) = -f**2 + 1. Calculate z*k(d) - 132*x(d).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -11*v**4 + 3*v**3 + 3*v**2 - 2. Let m(x) = -33*x**4 + 8*x**3 + 8*x**2 - 7. Let p(k) = -3*m(k) + 8*w(k). What is the derivative of p(h) wrt h?\nAnswer: 44*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -21, 430 in descending order.\nAnswer: 430, 2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -192 - -191.8. Which is smaller: a or 23?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 12*u**2 + 49*u + 165. Give a(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*g = 12*g + 805600. What is g rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(1 + 1 - 7). Let c(u) = -5*u**3 - 6*u**2 + 4*u - 4. Let n be c(k). Suppose 2*j = s - 147, -3*s - 7*j = -3*j - n. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3682 divided by -47.\nAnswer: 3682\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -2\/3*z**2 + 5*z + 2\/9*z**4 + 7\/9*z**3 + 0. Find u such that y(u) = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 20*o + 14. Let c be j(0). Calculate the greatest common divisor of c and 1120.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 + -2) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2 - 13. Let t be h\/((-3)\/1170*2). Is 2 + t\/(-3) + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -95.353574, 3\/5, 4 in decreasing order.\nAnswer: 4, 3\/5, -95.353574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 34829.\nAnswer: -34834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43488 and 108720?\nAnswer: 217440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**3 - g**2 - 4*g - 5. Is m(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -521, -45, 445, 955, 1491?\n\"Answer: v**3 + v**2 + 466*v - 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2 + 52*u - 11. Let i(n) = -5*n**2 - 52*n + 13. What is 6*i(a) + 7*z(a)?\nAnswer: 5*a**2 + 52*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49982 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**3\/3 + c - 1. Let f(q) be the third derivative of -q**6\/120 + q**5\/30 + q**3\/3 + q**2 - 27. Determine -f(g) + 2*i(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/3 - 3 - -9482731. Let y = m + -4282733. What is y rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c7 (base 13) to base 5\nAnswer: -10140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 881668187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 3.6, 0.3.\nAnswer: -7, 0.3, 3.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 62 (c) -23322\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 25*i**2 + 55*i + 27. Calculate m(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110 (base 5) to base 14.\nAnswer: 34b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/4*(-50)\/15 + (-57)\/114. Suppose 2*s - 2 = 4*f, -7 = -4*s - 4*f + 9*f. Calculate the highest common divisor of o and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*n - 231 - 1925 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3135 is divided by 163.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115.0910798 + -115.09. What is o rounded to five decimal places?\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 34 - 51)*(-5*f - 2*f - 4 + 8*f).\nAnswer: -43*f + 172","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4173037*b**5*y**2 + 171991*b*y + 53*y**2 wrt b.\nAnswer: -83460740*b**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*z**3 + 202 - 202.\nAnswer: -22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 16)*72\/144?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 68, 159, 304, 497, 732, 1003?\n\"Answer: -u**3 + 33*u**2 - u + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8528478 * 0.03\nAnswer: -255854.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91124241?\nAnswer: 3, 13, 2336519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2131 * -541\nAnswer: 1152871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74934.\nAnswer: 2, 3, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}